forked from 1b-agent/fieldcraft-upstream
verification: nonlinear oracle cases and the nonlinear solver's documentation
Theory cases for the nonlinear solver, each frozen as a fixture: uniaxial stretch of a neo-Hookean block to twice its length (closed form), the nonlinear patch test on a distorted hex8 mesh, a quarter turn of the same mesh (objectivity: zero stress), the elastica of a hex20 cantilever at P L²/(E I) = 1, 2, 5, 10 against Bisshopp–Drucker (0.2–0.5 %), and the inflation of a thick neo-Hookean tube by a follower pressure against Rivlin's closed form (0.08 % at the bore). A finite-strain Cook's membrane is pending its transcribed reference. docs/fem.md describes the formulation, the material point interface, the follower-pressure choice and what nonlinear steps refuse; the literature, parity and roadmap pages follow. Co-Authored-By: Claude Opus 5.5 <[email protected]> Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm
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jyvikoandClaude Opus 5.5 authored and Irakli Kourtis committed
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@@ -0,0 +1,7 @@
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# Cook's membrane at finite strain (pending)
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Waits for its reference value: the finite-strain Cook's membrane is defined (load, μ, κ) and
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answered in papers we have not transcribed, and no value is entered from memory. FieldCraft
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solves the model today (hybrid hex20 one element thick in plane strain, or plane strain quad8 for
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compressible materials); the case becomes active when the published numbers are copied in with
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their table.
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@@ -0,0 +1,14 @@
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{
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"title": "Cook's membrane, nearly incompressible neo-Hookean, large load (plane strain)",
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"kind": "benchmark",
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"source": "R. D. Cook, Improved two-dimensional finite element, J. Struct. Div. ASCE 100(ST9):1851–1863, 1974 (the tapered panel (0, 0), (48, 44), (48, 60), (0, 44), clamped on x = 0, shear on x = 48); finite-strain versions with a neo-Hookean material are published by J. C. Simo, F. Armero, IJNME 33:1413–1449, 1992; the values to compare with are to be transcribed from the paper",
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"status": "pending",
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"requires": "the published finite-strain reference value, transcribed from the paper with its load and material constants",
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"quantities": [
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{
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"id": "vC",
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"quantity": "vertical displacement of the top corner C (48, 60)",
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"value": null
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}
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]
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}
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@@ -0,0 +1,7 @@
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# Inflation of a thick neo-Hookean cylinder (follower pressure)
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A quarter of a tube A = 10, B = 20, one unit long, in plane strain (symmetry planes x = 0,
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y = 0 and both ends), 6 × 16 hybrid hex20 elements, neo-Hookean with E = 3, ν = 0.4995
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(μ = 1.00033, κ = 1000). The bore pressure p = 0.428371199 follows the deforming bore; the incompressible
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closed form puts the bore at a = 15 and the outer wall at b = 22.912878475. This is the follower-pressure
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case: the pressure turns with the bore and grows with its area.
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@@ -0,0 +1,53 @@
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{
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"title": "Inflation of a thick neo-Hookean cylinder by a follower pressure (plane strain)",
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"kind": "theory",
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"source": "Finite inflation of an incompressible neo-Hookean thick-walled tube in plane strain: r² = R² + a² − A², σ_θ − σ_r = μ (λ² − λ⁻²) with λ = r/R, integrated through the wall: p = (μ/2)[(ln λ_a² − λ_a⁻²) − (ln λ_b² − λ_b⁻²)] (R. S. Rivlin, Large elastic deformations of isotropic materials VI, Phil. Trans. R. Soc. A 242:173–195, 1949; R. W. Ogden, Non-Linear Elastic Deformations, Dover 1997, §5.3.2)",
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"quantities": [
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{
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"id": "ua",
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"quantity": "radial displacement of the bore (10, 0, 0) at the pressure that inflates it to a = 15",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Inflate",
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"at": [
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[
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10.0,
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0,
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0
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]
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]
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},
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"pointer": "/nodes/0/displacement/0"
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},
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"value": 5.0,
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"tolerance": {
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"relative": 0.005
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},
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"reason": "the closed form is incompressible and our material nearly so (κ/μ = 1000, a volume change of order p/κ ≈ 4·10⁻⁴); hybrid hex20, 6 × 16, follow the wall's strain gradient well inside"
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},
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{
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"id": "ub",
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"quantity": "radial displacement of the outer wall (20, 0, 0)",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Inflate",
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"at": [
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[
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20.0,
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0,
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0
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]
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]
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},
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"pointer": "/nodes/0/displacement/0"
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},
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"value": 2.9128784747791983,
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"tolerance": {
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"relative": 0.005
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},
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"reason": "as at the bore"
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}
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]
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}
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@@ -0,0 +1,13 @@
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{
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"note": "FieldCraft's accepted results for this case, written by `cargo xtask oracle --bless`. A result outside its band fails CI.",
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"values": {
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"ua": {
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"band": 5.003966508393597e-9,
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"value": 5.003966508393597
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},
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"ub": {
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"band": 2.917320022569369e-9,
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"value": 2.9173200225693687
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}
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}
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}
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@@ -0,0 +1,18 @@
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[
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{"command": "mesh.block", "params": {"body": "Pipe", "kind": "hex20", "corners": [[10.0, 0, 0], [20.0, 0, 0], [0, 20.0, 0], [0, 10.0, 0], [10.0, 0, 1], [20.0, 0, 1], [0, 20.0, 1], [0, 10.0, 1]], "divisions": [6, 16, 1], "edges": [{"corners": [2, 3], "arc": {"center": [0, 0, 0]}}, {"corners": [1, 4], "arc": {"center": [0, 0, 0]}}, {"corners": [6, 7], "arc": {"center": [0, 0, 1]}}, {"corners": [5, 8], "arc": {"center": [0, 0, 1]}}], "faces": {"6": "bore", "3": "y0", "5": "x0", "1": "z0", "2": "z1"}}},
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{"command": "model.set.create", "params": {"name": "all", "geometry": [{"body": "Pipe"}]}},
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{"command": "model.set.create", "params": {"name": "bore", "geometry": [{"body": "Pipe", "face": "bore"}]}},
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{"command": "model.set.create", "params": {"name": "x0", "geometry": [{"body": "Pipe", "face": "x0"}]}},
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{"command": "model.set.create", "params": {"name": "y0", "geometry": [{"body": "Pipe", "face": "y0"}]}},
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{"command": "model.set.create", "params": {"name": "z0", "geometry": [{"body": "Pipe", "face": "z0"}]}},
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{"command": "model.set.create", "params": {"name": "z1", "geometry": [{"body": "Pipe", "face": "z1"}]}},
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{"command": "model.material.create", "params": {"name": "Rubber", "elastic": {"type": "isotropic", "young": 3.0, "poisson": 0.4995}, "hyperelastic": {"type": "neo_hookean"}}},
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{"command": "model.section.create", "params": {"name": "pipe", "set": "all", "material": "Rubber", "kind": {"type": "solid"}, "formulation": {"hybrid": true}}},
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{"command": "model.boundary_condition.create", "params": {"name": "sx", "type": "symmetry", "target": {"set": "x0"}, "plane": "x"}},
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{"command": "model.boundary_condition.create", "params": {"name": "sy", "type": "symmetry", "target": {"set": "y0"}, "plane": "y"}},
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{"command": "model.boundary_condition.create", "params": {"name": "sz0", "type": "symmetry", "target": {"set": "z0"}, "plane": "z"}},
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{"command": "model.boundary_condition.create", "params": {"name": "sz1", "type": "symmetry", "target": {"set": "z1"}, "plane": "z"}},
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{"command": "model.load.create", "params": {"name": "p", "type": "pressure", "set": "bore", "magnitude": 0.42837119949633445}},
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{"command": "model.step.create", "params": {"name": "Inflate", "procedure": {"type": "nonlinear_static"}, "boundary_conditions": ["sx", "sy", "sz0", "sz1"], "loads": ["p"]}},
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{"command": "solve.nonlinear", "params": {"step": "Inflate"}, "id": "solve"}
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]
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@@ -0,0 +1,8 @@
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# Large-deflection cantilever (elastica)
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A cantilever L = 10, b = 1, h = 0.5 (L/h = 20) of 40 × 1 × 2 hex20 elements, clamped at x = 0,
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E = 10⁴, ν = 0 (an elastic material in a nonlinear step: St Venant–Kirchhoff, exact for large
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rotations with these small strains), under a dead vertical tip force P spread over the end face.
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Four steps at P L²/(E I) = 1, 2, 5 and 10 (rotations of the tip 0.46 to 1.43 rad). The tip's
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neutral-axis node (10, 0, 0.25) is compared with the elastica (Bisshopp–Drucker), whose values
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were computed by shooting and agree with Mattiasson's table.
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@@ -0,0 +1,199 @@
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{
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"title": "Large-deflection cantilever under a dead tip load against the elastica (solids)",
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"kind": "theory",
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"source": "The elastica of a cantilever under a vertical end load: K. E. Bisshopp, D. C. Drucker, Large deflection of cantilever beams, Quarterly of Applied Mathematics 3(3):272–275, 1945 (elliptic-integral solution); values computed by integrating θ″ = −(P/EI) cos θ by shooting (our own RK4, 20000 steps), agreeing with the table of K. Mattiasson, Numerical results from large deflection beam and frame problems analysed by means of elliptic integrals, IJNME 17(1):145–153, 1981, to all six digits",
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"quantities": [
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{
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"id": "v1",
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"quantity": "tip deflection δ_v/L at P L²/(E I) = 1",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "K1",
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"at": [
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[
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10.0,
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0,
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0.25
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]
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]
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},
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"pointer": "/nodes/0/displacement/2",
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"scale": -0.1
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},
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"value": 0.301721,
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"tolerance": {
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"relative": 0.01
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},
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"reason": "hex20, 40 × 2 through the depth, L/h = 20: shear deformation (0.6 (h/L)² ≈ 0.15 % of the deflection) and the clamp's local restraint, both absent from the elastica"
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},
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{
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"id": "u1",
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"quantity": "tip shortening δ_h/L at P L²/(E I) = 1",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "K1",
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"at": [
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[
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10.0,
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0,
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0.25
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]
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]
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},
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"pointer": "/nodes/0/displacement/0",
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"scale": -0.1
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},
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"value": 0.056433,
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"tolerance": {
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"relative": 0.02
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},
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"reason": "as δ_v; the shortening is the smaller, second-order quantity, so its relative error is about twice the deflection's"
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},
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{
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"id": "v2",
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"quantity": "tip deflection δ_v/L at P L²/(E I) = 2",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "K2",
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"at": [
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[
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10.0,
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0,
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0.25
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]
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]
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},
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"pointer": "/nodes/0/displacement/2",
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"scale": -0.1
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},
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"value": 0.493457,
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"tolerance": {
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"relative": 0.01
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},
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"reason": "hex20, 40 × 2 through the depth, L/h = 20: shear deformation (0.6 (h/L)² ≈ 0.15 % of the deflection) and the clamp's local restraint, both absent from the elastica"
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},
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{
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"id": "u2",
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"quantity": "tip shortening δ_h/L at P L²/(E I) = 2",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "K2",
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"at": [
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[
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10.0,
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0,
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0.25
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]
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]
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},
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"pointer": "/nodes/0/displacement/0",
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"scale": -0.1
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},
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"value": 0.160642,
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"tolerance": {
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"relative": 0.02
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},
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"reason": "as δ_v; the shortening is the smaller, second-order quantity, so its relative error is about twice the deflection's"
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},
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{
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"id": "v5",
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"quantity": "tip deflection δ_v/L at P L²/(E I) = 5",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "K5",
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"at": [
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[
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10.0,
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0,
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0.25
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]
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]
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},
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"pointer": "/nodes/0/displacement/2",
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"scale": -0.1
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},
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"value": 0.713792,
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"tolerance": {
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"relative": 0.01
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},
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"reason": "hex20, 40 × 2 through the depth, L/h = 20: shear deformation (0.6 (h/L)² ≈ 0.15 % of the deflection) and the clamp's local restraint, both absent from the elastica"
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},
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{
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"id": "u5",
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"quantity": "tip shortening δ_h/L at P L²/(E I) = 5",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "K5",
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"at": [
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[
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10.0,
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0,
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0.25
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]
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]
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},
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"pointer": "/nodes/0/displacement/0",
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"scale": -0.1
|
||||
},
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"value": 0.387628,
|
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"tolerance": {
|
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"relative": 0.02
|
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},
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"reason": "as δ_v; the shortening is the smaller, second-order quantity, so its relative error is about twice the deflection's"
|
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},
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{
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"id": "v10",
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"quantity": "tip deflection δ_v/L at P L²/(E I) = 10",
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"measure": {
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"command": "solve.probe",
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"params": {
|
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"step": "K10",
|
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"at": [
|
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[
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10.0,
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0,
|
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0.25
|
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]
|
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]
|
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},
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"pointer": "/nodes/0/displacement/2",
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"scale": -0.1
|
||||
},
|
||||
"value": 0.810609,
|
||||
"tolerance": {
|
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"relative": 0.01
|
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},
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"reason": "hex20, 40 × 2 through the depth, L/h = 20: shear deformation (0.6 (h/L)² ≈ 0.15 % of the deflection) and the clamp's local restraint, both absent from the elastica"
|
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},
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{
|
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"id": "u10",
|
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"quantity": "tip shortening δ_h/L at P L²/(E I) = 10",
|
||||
"measure": {
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"command": "solve.probe",
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"params": {
|
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"step": "K10",
|
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"at": [
|
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[
|
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10.0,
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0,
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0.25
|
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]
|
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]
|
||||
},
|
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"pointer": "/nodes/0/displacement/0",
|
||||
"scale": -0.1
|
||||
},
|
||||
"value": 0.554996,
|
||||
"tolerance": {
|
||||
"relative": 0.02
|
||||
},
|
||||
"reason": "as δ_v; the shortening is the smaller, second-order quantity, so its relative error is about twice the deflection's"
|
||||
}
|
||||
]
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}
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@@ -0,0 +1,37 @@
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{
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||||
"note": "FieldCraft's accepted results for this case, written by `cargo xtask oracle --bless`. A result outside its band fails CI.",
|
||||
"values": {
|
||||
"u1": {
|
||||
"band": 5.6632559447764666e-11,
|
||||
"value": 0.056632559447764665
|
||||
},
|
||||
"u10": {
|
||||
"band": 5.579973985797526e-10,
|
||||
"value": 0.5579973985797526
|
||||
},
|
||||
"u2": {
|
||||
"band": 1.6132061646961728e-10,
|
||||
"value": 0.16132061646961726
|
||||
},
|
||||
"u5": {
|
||||
"band": 3.895481979257076e-10,
|
||||
"value": 0.3895481979257076
|
||||
},
|
||||
"v1": {
|
||||
"band": 3.02260079032045e-10,
|
||||
"value": 0.30226007903204494
|
||||
},
|
||||
"v10": {
|
||||
"band": 8.142088468220408e-10,
|
||||
"value": 0.8142088468220408
|
||||
},
|
||||
"v2": {
|
||||
"band": 4.945495713426414e-10,
|
||||
"value": 0.4945495713426413
|
||||
},
|
||||
"v5": {
|
||||
"band": 7.159758984663589e-10,
|
||||
"value": 0.7159758984663589
|
||||
}
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,21 @@
|
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[
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{"command": "mesh.block", "params": {"body": "Beam", "kind": "hex20", "corners": [[0, 0, 0], [10.0, 0, 0], [10.0, 1.0, 0], [0, 1.0, 0], [0, 0, 0.5], [10.0, 0, 0.5], [10.0, 1.0, 0.5], [0, 1.0, 0.5]], "divisions": [40, 1, 2], "faces": {"6": "root", "4": "tip"}}},
|
||||
{"command": "model.set.create", "params": {"name": "all", "geometry": [{"body": "Beam"}]}},
|
||||
{"command": "model.set.create", "params": {"name": "root", "geometry": [{"body": "Beam", "face": "root"}]}},
|
||||
{"command": "model.set.create", "params": {"name": "tip", "geometry": [{"body": "Beam", "face": "tip"}]}},
|
||||
{"command": "model.material.create", "params": {"name": "Steel", "elastic": {"type": "isotropic", "young": 10000.0, "poisson": 0.0}}},
|
||||
{"command": "model.section.create", "params": {"name": "beam", "set": "all", "material": "Steel", "kind": {"type": "solid"}}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "clamp", "type": "fixed", "target": {"set": "root"}}},
|
||||
{"command": "model.load.create", "params": {"name": "P1", "type": "force", "target": {"set": "tip"}, "vector": [0, 0, -1.0416666666666667]}},
|
||||
{"command": "model.step.create", "params": {"name": "K1", "procedure": {"type": "nonlinear_static"}, "boundary_conditions": ["clamp"], "loads": ["P1"]}},
|
||||
{"command": "model.load.create", "params": {"name": "P2", "type": "force", "target": {"set": "tip"}, "vector": [0, 0, -2.0833333333333335]}},
|
||||
{"command": "model.step.create", "params": {"name": "K2", "procedure": {"type": "nonlinear_static"}, "boundary_conditions": ["clamp"], "loads": ["P2"]}},
|
||||
{"command": "model.load.create", "params": {"name": "P5", "type": "force", "target": {"set": "tip"}, "vector": [0, 0, -5.208333333333334]}},
|
||||
{"command": "model.step.create", "params": {"name": "K5", "procedure": {"type": "nonlinear_static"}, "boundary_conditions": ["clamp"], "loads": ["P5"]}},
|
||||
{"command": "model.load.create", "params": {"name": "P10", "type": "force", "target": {"set": "tip"}, "vector": [0, 0, -10.416666666666668]}},
|
||||
{"command": "model.step.create", "params": {"name": "K10", "procedure": {"type": "nonlinear_static"}, "boundary_conditions": ["clamp"], "loads": ["P10"]}},
|
||||
{"command": "solve.nonlinear", "params": {"step": "K1"}, "id": "solve1"},
|
||||
{"command": "solve.nonlinear", "params": {"step": "K2"}, "id": "solve2"},
|
||||
{"command": "solve.nonlinear", "params": {"step": "K5"}, "id": "solve5"},
|
||||
{"command": "solve.nonlinear", "params": {"step": "K10"}, "id": "solve10"}
|
||||
]
|
||||
@@ -0,0 +1,7 @@
|
||||
# Uniaxial stretch of a neo-Hookean block
|
||||
|
||||
A unit cube of 2 × 2 × 2 hex20 elements, symmetry planes x = 0, y = 0, z = 0, the face x = 1
|
||||
pulled to x = 2 (λ = 2) in a nonlinear static step; E = 10, ν = 0.3 with the neo-Hookean
|
||||
option (μ = 3.84615, κ = 8.33333). The lateral stretch l = 0.813143719 solves σ_yy = 0 (bisection
|
||||
on the closed form), and σ_xx = 8.060135422. The deformation is homogeneous, so every element
|
||||
reproduces it exactly.
|
||||
@@ -0,0 +1,53 @@
|
||||
{
|
||||
"title": "Uniaxial stretch of a neo-Hookean block to twice its length",
|
||||
"kind": "theory",
|
||||
"source": "Closed form of the compressible neo-Hookean model W = μ/2 (Ī₁ − 3) + κ/2 (J − 1)² in uniaxial stress (G. A. Holzapfel, Nonlinear Solid Mechanics, Wiley 2000, §6.5, eq. 6.148 with the volumetric term of §6.4): σ_yy = μ J^(−5/3)(l² − Ī/3) + κ(J − 1) = 0 fixes the lateral stretch l, then σ_xx = μ J^(−5/3)(λ² − l²)",
|
||||
"quantities": [
|
||||
{
|
||||
"id": "sigma",
|
||||
"quantity": "axial Cauchy stress at the corner (1, 1, 1), stretch λ = 2",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Stretch",
|
||||
"at": [
|
||||
[
|
||||
1,
|
||||
1,
|
||||
1
|
||||
]
|
||||
]
|
||||
},
|
||||
"pointer": "/nodes/0/stress/0"
|
||||
},
|
||||
"value": 8.060135422196785,
|
||||
"tolerance": {
|
||||
"relative": 1e-06
|
||||
},
|
||||
"reason": "a homogeneous deformation every element represents exactly: the tolerance only admits rounding and the Newton tolerance"
|
||||
},
|
||||
{
|
||||
"id": "lateral",
|
||||
"quantity": "lateral displacement u_y at the corner (1, 1, 1), l − 1",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Stretch",
|
||||
"at": [
|
||||
[
|
||||
1,
|
||||
1,
|
||||
1
|
||||
]
|
||||
]
|
||||
},
|
||||
"pointer": "/nodes/0/displacement/1"
|
||||
},
|
||||
"value": -0.1868562805727787,
|
||||
"tolerance": {
|
||||
"relative": 1e-06
|
||||
},
|
||||
"reason": "a homogeneous deformation every element represents exactly: the tolerance only admits rounding and the Newton tolerance"
|
||||
}
|
||||
]
|
||||
}
|
||||
@@ -0,0 +1,13 @@
|
||||
{
|
||||
"note": "FieldCraft's accepted results for this case, written by `cargo xtask oracle --bless`. A result outside its band fails CI.",
|
||||
"values": {
|
||||
"lateral": {
|
||||
"band": 1.8685628057277872e-10,
|
||||
"value": -0.18685628056417355
|
||||
},
|
||||
"sigma": {
|
||||
"band": 8.060135422217968e-9,
|
||||
"value": 8.060135422217968
|
||||
}
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,16 @@
|
||||
[
|
||||
{"command": "mesh.block", "params": {"body": "Cube", "kind": "hex20", "corners": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0], [0, 0, 1], [1, 0, 1], [1, 1, 1], [0, 1, 1]], "divisions": [2, 2, 2], "faces": {"6": "x0", "3": "y0", "1": "z0", "4": "x1"}}},
|
||||
{"command": "model.set.create", "params": {"name": "all", "geometry": [{"body": "Cube"}]}},
|
||||
{"command": "model.set.create", "params": {"name": "x0", "geometry": [{"body": "Cube", "face": "x0"}]}},
|
||||
{"command": "model.set.create", "params": {"name": "y0", "geometry": [{"body": "Cube", "face": "y0"}]}},
|
||||
{"command": "model.set.create", "params": {"name": "z0", "geometry": [{"body": "Cube", "face": "z0"}]}},
|
||||
{"command": "model.set.create", "params": {"name": "x1", "geometry": [{"body": "Cube", "face": "x1"}]}},
|
||||
{"command": "model.material.create", "params": {"name": "Rubber", "elastic": {"type": "isotropic", "young": 10.0, "poisson": 0.3}, "hyperelastic": {"type": "neo_hookean"}}},
|
||||
{"command": "model.section.create", "params": {"name": "cube", "set": "all", "material": "Rubber", "kind": {"type": "solid"}}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "sx", "type": "symmetry", "target": {"set": "x0"}, "plane": "x"}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "sy", "type": "symmetry", "target": {"set": "y0"}, "plane": "y"}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "sz", "type": "symmetry", "target": {"set": "z0"}, "plane": "z"}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "pull", "type": "displacement", "target": {"set": "x1"}, "values": [1.0, null, null, null, null, null]}},
|
||||
{"command": "model.step.create", "params": {"name": "Stretch", "procedure": {"type": "nonlinear_static"}, "boundary_conditions": ["sx", "sy", "sz", "pull"], "loads": []}},
|
||||
{"command": "solve.nonlinear", "params": {"step": "Stretch"}, "id": "solve"}
|
||||
]
|
||||
@@ -0,0 +1,7 @@
|
||||
# Nonlinear patch test, hex8
|
||||
|
||||
A unit cube of 3 × 3 × 3 hex8 elements whose non-corner nodes are moved off the lattice, so no
|
||||
element is a parallelepiped. Every boundary node is prescribed u = (F − I) X with
|
||||
F = [[1.3, 0.2, -0.1], [-0.15, 0.9, 0.25], [0.05, -0.2, 1.1]] (stretch, shear and rotation, J = 1.389000); the eight inner nodes are free. The neo-Hookean
|
||||
material (E = 100, ν = 0.3) must take the homogeneous deformation: the inner node 22 moves by
|
||||
(F − I) X and the Cauchy stress is uniform.
|
||||
@@ -0,0 +1,178 @@
|
||||
{
|
||||
"title": "Nonlinear patch test, hex8: a homogeneous finite deformation of a distorted mesh",
|
||||
"kind": "theory",
|
||||
"source": "The patch test (B. M. Irons, A. Razzaque, in A. K. Aziz (ed.), The Mathematical Foundations of the Finite Element Method, Academic Press 1972, 557–587) at finite strain: a boundary moved by x = F X makes F the solution everywhere (J. Bonet, R. D. Wood, Nonlinear Continuum Mechanics for Finite Element Analysis, 2nd ed., Cambridge 2008, §8); the neo-Hookean Cauchy stress σ = μ J^(−5/3) dev b + κ (J − 1) I of that F",
|
||||
"quantities": [
|
||||
{
|
||||
"id": "ux",
|
||||
"quantity": "u_x at inner node 22",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Deform",
|
||||
"nodes": [
|
||||
22
|
||||
]
|
||||
},
|
||||
"pointer": "/nodes/0/displacement/0"
|
||||
},
|
||||
"value": 0.13583340405268285,
|
||||
"tolerance": {
|
||||
"relative": 1e-08
|
||||
},
|
||||
"reason": "a patch test is passed exactly: the tolerance admits rounding and the Newton tolerance"
|
||||
},
|
||||
{
|
||||
"id": "uy",
|
||||
"quantity": "u_y at inner node 22",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Deform",
|
||||
"nodes": [
|
||||
22
|
||||
]
|
||||
},
|
||||
"pointer": "/nodes/0/displacement/1"
|
||||
},
|
||||
"value": 0.0003487491373645457,
|
||||
"tolerance": {
|
||||
"relative": 1e-08
|
||||
},
|
||||
"reason": "a patch test is passed exactly: the tolerance admits rounding and the Newton tolerance"
|
||||
},
|
||||
{
|
||||
"id": "uz",
|
||||
"quantity": "u_z at inner node 22",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Deform",
|
||||
"nodes": [
|
||||
22
|
||||
]
|
||||
},
|
||||
"pointer": "/nodes/0/displacement/2"
|
||||
},
|
||||
"value": -0.002398508020922785,
|
||||
"tolerance": {
|
||||
"relative": 1e-08
|
||||
},
|
||||
"reason": "a patch test is passed exactly: the tolerance admits rounding and the Newton tolerance"
|
||||
},
|
||||
{
|
||||
"id": "sxx",
|
||||
"quantity": "Cauchy σ_xx at inner node 22",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Deform",
|
||||
"nodes": [
|
||||
22
|
||||
]
|
||||
},
|
||||
"pointer": "/nodes/0/stress/0"
|
||||
},
|
||||
"value": 42.29617970634737,
|
||||
"tolerance": {
|
||||
"relative": 1e-07
|
||||
},
|
||||
"reason": "a patch test is passed exactly: the tolerance admits rounding and the Newton tolerance"
|
||||
},
|
||||
{
|
||||
"id": "syy",
|
||||
"quantity": "Cauchy σ_yy at inner node 22",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Deform",
|
||||
"nodes": [
|
||||
22
|
||||
]
|
||||
},
|
||||
"pointer": "/nodes/0/stress/1"
|
||||
},
|
||||
"value": 23.501008557686546,
|
||||
"tolerance": {
|
||||
"relative": 1e-07
|
||||
},
|
||||
"reason": "a patch test is passed exactly: the tolerance admits rounding and the Newton tolerance"
|
||||
},
|
||||
{
|
||||
"id": "szz",
|
||||
"quantity": "Cauchy σ_zz at inner node 22",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Deform",
|
||||
"nodes": [
|
||||
22
|
||||
]
|
||||
},
|
||||
"pointer": "/nodes/0/stress/2"
|
||||
},
|
||||
"value": 31.452811735966126,
|
||||
"tolerance": {
|
||||
"relative": 1e-07
|
||||
},
|
||||
"reason": "a patch test is passed exactly: the tolerance admits rounding and the Newton tolerance"
|
||||
},
|
||||
{
|
||||
"id": "sxy",
|
||||
"quantity": "Cauchy σ_xy at inner node 22",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Deform",
|
||||
"nodes": [
|
||||
22
|
||||
]
|
||||
},
|
||||
"pointer": "/nodes/0/stress/3"
|
||||
},
|
||||
"value": -0.8897122437235885,
|
||||
"tolerance": {
|
||||
"relative": 1e-07
|
||||
},
|
||||
"reason": "a patch test is passed exactly: the tolerance admits rounding and the Newton tolerance"
|
||||
},
|
||||
{
|
||||
"id": "sxz",
|
||||
"quantity": "Cauchy σ_xz at inner node 22",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Deform",
|
||||
"nodes": [
|
||||
22
|
||||
]
|
||||
},
|
||||
"pointer": "/nodes/0/stress/4"
|
||||
},
|
||||
"value": -1.8906385179126266,
|
||||
"tolerance": {
|
||||
"relative": 1e-07
|
||||
},
|
||||
"reason": "a patch test is passed exactly: the tolerance admits rounding and the Newton tolerance"
|
||||
},
|
||||
{
|
||||
"id": "syz",
|
||||
"quantity": "Cauchy σ_yz at inner node 22",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Deform",
|
||||
"nodes": [
|
||||
22
|
||||
]
|
||||
},
|
||||
"pointer": "/nodes/0/stress/5"
|
||||
},
|
||||
"value": 1.9462455331453503,
|
||||
"tolerance": {
|
||||
"relative": 1e-07
|
||||
},
|
||||
"reason": "a patch test is passed exactly: the tolerance admits rounding and the Newton tolerance"
|
||||
}
|
||||
]
|
||||
}
|
||||
@@ -0,0 +1,41 @@
|
||||
{
|
||||
"note": "FieldCraft's accepted results for this case, written by `cargo xtask oracle --bless`. A result outside its band fails CI.",
|
||||
"values": {
|
||||
"sxx": {
|
||||
"band": 4.2296179707574264e-8,
|
||||
"value": 42.29617970757426
|
||||
},
|
||||
"sxy": {
|
||||
"band": 8.89712243927903e-10,
|
||||
"value": -0.8897122439279029
|
||||
},
|
||||
"sxz": {
|
||||
"band": 1.8906385180297377e-9,
|
||||
"value": -1.8906385180297376
|
||||
},
|
||||
"syy": {
|
||||
"band": 2.3501008558807953e-8,
|
||||
"value": 23.501008558807953
|
||||
},
|
||||
"syz": {
|
||||
"band": 1.9462455331453503e-9,
|
||||
"value": 1.9462455329577204
|
||||
},
|
||||
"szz": {
|
||||
"band": 3.14528117370872e-8,
|
||||
"value": 31.452811737087195
|
||||
},
|
||||
"ux": {
|
||||
"band": 1.3583340405308903e-10,
|
||||
"value": 0.13583340405308902
|
||||
},
|
||||
"uy": {
|
||||
"band": 3.4874913736454575e-13,
|
||||
"value": 0.0003487491350470007
|
||||
},
|
||||
"uz": {
|
||||
"band": 2.3985080233668645e-12,
|
||||
"value": -0.002398508023366864
|
||||
}
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,210 @@
|
||||
[
|
||||
{"command": "mesh.node.add", "params": {"label": 1, "xyz": [0.0, 0.0, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 2, "xyz": [0.2962451065991113, 0.0, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 3, "xyz": [0.6111177857270027, 0.0, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 4, "xyz": [1.0, 0.0, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 5, "xyz": [0.0, 0.2910009137991098, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 6, "xyz": [0.3571377677211701, 0.2737737705050953, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 7, "xyz": [0.714575893424076, 0.2779668080365649, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 8, "xyz": [1.0, 0.2966218598767702, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 9, "xyz": [0.0, 0.6967279180541397, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 10, "xyz": [0.3333333333333333, 0.7184592286655991, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 11, "xyz": [0.6295784399324447, 0.7261031080083589, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 12, "xyz": [1.0, 0.7142867384976158, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 13, "xyz": [0.0, 1.0, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 14, "xyz": [0.31800086721172344, 1.0, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 15, "xyz": [0.6904711010545035, 1.0, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 16, "xyz": [1.0, 1.0, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 17, "xyz": [0.0, 0.0, 0.31040904830229277]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 18, "xyz": [0.2777844523936694, 0.0, 0.340800598743757]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 19, "xyz": [0.6089828171538932, 0.0, 0.37600300670769227]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 20, "xyz": [1.0, 0.0, 0.39127279992629]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 21, "xyz": [0.0, 0.2737737705050953, 0.3696657255165094]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 22, "xyz": [0.38124256009074275, 0.2779668080365649, 0.34132725581852985]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 23, "xyz": [0.7261665552938148, 0.2966218598767702, 0.31090073344351915]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 24, "xyz": [1.0, 0.33381112436048954, 0.28130120256419844]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 25, "xyz": [0.0, 0.7184592286655991, 0.28103878698851803]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 26, "xyz": [0.2962451065991113, 0.7261031080083589, 0.31040904830229277]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 27, "xyz": [0.6111177857270027, 0.7142867384976158, 0.340800598743757]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 28, "xyz": [1.0, 0.6815367191456442, 0.37600300670769227]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 29, "xyz": [0.0, 1.0, 0.3914085136552225]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 30, "xyz": [0.3571377677211701, 1.0, 0.3696657255165094]}},
|
||||
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|
||||
{"command": "model.boundary_condition.create", "params": {"name": "n46", "type": "displacement", "target": {"set": "n46"}, "values": [0.2469067091120365, 0.011478763274354487, -0.11347181308027643, null, null, null]}},
|
||||
{"command": "model.set.create", "params": {"name": "n47", "nodes": [47]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "n47", "type": "displacement", "target": {"set": "n47"}, "values": [0.35342655991045935, -0.04786646659985905, -0.09926826555762391, null, null, null]}},
|
||||
{"command": "model.set.create", "params": {"name": "n48", "nodes": [48]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "n48", "type": "displacement", "target": {"set": "n48"}, "values": [0.43853654641024686, -0.09634136602561705, -0.08853654641024677, null, null, null]}},
|
||||
{"command": "model.set.create", "params": {"name": "n49", "nodes": [49]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "n49", "type": "displacement", "target": {"set": "n49"}, "values": [-0.1, 0.25, 0.10000000000000009, null, null, null]}},
|
||||
{"command": "model.set.create", "params": {"name": "n50", "nodes": [50]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "n50", "type": "displacement", "target": {"set": "n50"}, "values": [-0.012597744376683817, 0.2062988721883419, 0.11456704260388606, null, null, null]}},
|
||||
{"command": "model.set.create", "params": {"name": "n51", "nodes": [51]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "n51", "type": "displacement", "target": {"set": "n51"}, "values": [0.0954002601635171, 0.1522998699182415, 0.13256671002725295, null, null, null]}},
|
||||
{"command": "model.set.create", "params": {"name": "n52", "nodes": [52]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "n52", "type": "displacement", "target": {"set": "n52"}, "values": [0.19999999999999996, 0.1, 0.15000000000000013, null, null, null]}},
|
||||
{"command": "model.set.create", "params": {"name": "n53", "nodes": [53]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "n53", "type": "displacement", "target": {"set": "n53"}, "values": [-0.040675628024645964, 0.22033781401232294, 0.04067562802464608, null, null, null]}},
|
||||
{"command": "model.set.create", "params": {"name": "n54", "nodes": [54]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "n54", "type": "displacement", "target": {"set": "n54"}, "values": [0.08222713753951483, 0.1588864312302426, 0.05248192723913836, null, null, null]}},
|
||||
{"command": "model.set.create", "params": {"name": "n55", "nodes": [55]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "n55", "type": "displacement", "target": {"set": "n55"}, "values": [0.18157295726465628, 0.10921352136767187, 0.06213675644258787, null, null, null]}},
|
||||
{"command": "model.set.create", "params": {"name": "n56", "nodes": [56]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "n56", "type": "displacement", "target": {"set": "n56"}, "values": [0.2770251790664533, 0.06148741046677342, 0.07297482093354701, null, null, null]}},
|
||||
{"command": "model.set.create", "params": {"name": "n57", "nodes": [57]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "n57", "type": "displacement", "target": {"set": "n57"}, "values": [0.04285734769952315, 0.1785713261502384, -0.042857347699523096, null, null, null]}},
|
||||
{"command": "model.set.create", "params": {"name": "n58", "nodes": [58]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "n58", "type": "displacement", "target": {"set": "n58"}, "values": [0.11900218897529685, 0.14049890551235156, -0.022524869638100742, null, null, null]}},
|
||||
{"command": "model.set.create", "params": {"name": "n59", "nodes": [59]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "n59", "type": "displacement", "target": {"set": "n59"}, "values": [0.21757680746025987, 0.09121159626987008, 0.0010591574336091814, null, null, null]}},
|
||||
{"command": "model.set.create", "params": {"name": "n60", "nodes": [60]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "n60", "type": "displacement", "target": {"set": "n60"}, "values": [0.3248668494264886, 0.037566575286755666, 0.02513315057351151, null, null, null]}},
|
||||
{"command": "model.set.create", "params": {"name": "n61", "nodes": [61]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "n61", "type": "displacement", "target": {"set": "n61"}, "values": [0.1, 0.1499999999999999, -0.09999999999999987, null, null, null]}},
|
||||
{"command": "model.set.create", "params": {"name": "n62", "nodes": [62]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "n62", "type": "displacement", "target": {"set": "n62"}, "values": [0.21784996658814437, 0.09107501670592777, -0.08035833890197586, null, null, null]}},
|
||||
{"command": "model.set.create", "params": {"name": "n63", "nodes": [63]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "n63", "type": "displacement", "target": {"set": "n63"}, "values": [0.31546491266741694, 0.042267543666291596, -0.06408918122209706, null, null, null]}},
|
||||
{"command": "model.set.create", "params": {"name": "n64", "nodes": [64]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "n64", "type": "displacement", "target": {"set": "n64"}, "values": [0.40000000000000013, 0.0, -0.04999999999999993, null, null, null]}},
|
||||
{"command": "model.step.create", "params": {"name": "Deform", "procedure": {"type": "nonlinear_static"}, "boundary_conditions": ["n1", "n2", "n3", "n4", "n5", "n6", "n7", "n8", "n9", "n10", "n11", "n12", "n13", "n14", "n15", "n16", "n17", "n18", "n19", "n20", "n21", "n24", "n25", "n28", "n29", "n30", "n31", "n32", "n33", "n34", "n35", "n36", "n37", "n40", "n41", "n44", "n45", "n46", "n47", "n48", "n49", "n50", "n51", "n52", "n53", "n54", "n55", "n56", "n57", "n58", "n59", "n60", "n61", "n62", "n63", "n64"], "loads": []}},
|
||||
{"command": "solve.nonlinear", "params": {"step": "Deform"}, "id": "solve"}
|
||||
]
|
||||
@@ -0,0 +1,6 @@
|
||||
# Rigid rotation: objectivity
|
||||
|
||||
The distorted 3 × 3 × 3 hex8 cube of nl-patch-hex8 (neo-Hookean, E = 1000, ν = 0.3) with every
|
||||
boundary node prescribed the motion of a 90° rotation about the axis (1, 1, 1)/√3, applied in
|
||||
one ramp (the intermediate states are not rigid; the end state is). The inner nodes must follow
|
||||
the rotation and the stress must vanish.
|
||||
@@ -0,0 +1,83 @@
|
||||
{
|
||||
"title": "A quarter turn strains and stresses nothing (objectivity)",
|
||||
"kind": "theory",
|
||||
"source": "Objectivity of the total Lagrangian formulation and of the hyperelastic stress: a rigid motion x = R X + c gives C = I and σ = 0 whatever the rotation (Bonet & Wood 2008, §3.4 and §5.2; T. Belytschko, W. K. Liu, B. Moran, Nonlinear Finite Elements for Continua and Structures, 2nd ed., Wiley 2014, §5.5)",
|
||||
"quantities": [
|
||||
{
|
||||
"id": "ux",
|
||||
"quantity": "u_x at inner node 22: the rotation's",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Turn",
|
||||
"nodes": [
|
||||
22
|
||||
]
|
||||
},
|
||||
"pointer": "/nodes/0/displacement/0"
|
||||
},
|
||||
"value": -0.011149180525904245,
|
||||
"tolerance": {
|
||||
"absolute": 1e-09
|
||||
},
|
||||
"reason": "the inner nodes follow the rigid rotation exactly"
|
||||
},
|
||||
{
|
||||
"id": "uy",
|
||||
"quantity": "u_y at inner node 22: the rotation's",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Turn",
|
||||
"nodes": [
|
||||
22
|
||||
]
|
||||
},
|
||||
"pointer": "/nodes/0/displacement/1"
|
||||
},
|
||||
"value": 0.07859051161172886,
|
||||
"tolerance": {
|
||||
"absolute": 1e-09
|
||||
},
|
||||
"reason": "the inner nodes follow the rigid rotation exactly"
|
||||
},
|
||||
{
|
||||
"id": "uz",
|
||||
"quantity": "u_z at inner node 22: the rotation's",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Turn",
|
||||
"nodes": [
|
||||
22
|
||||
]
|
||||
},
|
||||
"pointer": "/nodes/0/displacement/2"
|
||||
},
|
||||
"value": -0.06744133108582467,
|
||||
"tolerance": {
|
||||
"absolute": 1e-09
|
||||
},
|
||||
"reason": "the inner nodes follow the rigid rotation exactly"
|
||||
},
|
||||
{
|
||||
"id": "von_mises",
|
||||
"quantity": "von Mises stress at inner node 22",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Turn",
|
||||
"nodes": [
|
||||
22
|
||||
]
|
||||
},
|
||||
"pointer": "/nodes/0/von_mises"
|
||||
},
|
||||
"value": 0.0,
|
||||
"tolerance": {
|
||||
"absolute": 1e-08
|
||||
},
|
||||
"reason": "zero up to rounding of stresses of order E = 1000: a 90° turn leaves no strain"
|
||||
}
|
||||
]
|
||||
}
|
||||
@@ -0,0 +1,21 @@
|
||||
{
|
||||
"note": "FieldCraft's accepted results for this case, written by `cargo xtask oracle --bless`. A result outside its band fails CI.",
|
||||
"values": {
|
||||
"ux": {
|
||||
"band": 1.2149180525904365e-11,
|
||||
"value": -0.011149180525904363
|
||||
},
|
||||
"uy": {
|
||||
"band": 7.959051161172887e-11,
|
||||
"value": 0.07859051161172881
|
||||
},
|
||||
"uz": {
|
||||
"band": 6.84413310858248e-11,
|
||||
"value": -0.0674413310858248
|
||||
},
|
||||
"von_mises": {
|
||||
"band": 1e-8,
|
||||
"value": 4.868377314671631e-13
|
||||
}
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,210 @@
|
||||
[
|
||||
{"command": "mesh.node.add", "params": {"label": 1, "xyz": [0.0, 0.0, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 2, "xyz": [0.2962451065991113, 0.0, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 3, "xyz": [0.6111177857270027, 0.0, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 4, "xyz": [1.0, 0.0, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 5, "xyz": [0.0, 0.2910009137991098, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 6, "xyz": [0.3571377677211701, 0.2737737705050953, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 7, "xyz": [0.714575893424076, 0.2779668080365649, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 8, "xyz": [1.0, 0.2966218598767702, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 9, "xyz": [0.0, 0.6967279180541397, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 10, "xyz": [0.3333333333333333, 0.7184592286655991, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 11, "xyz": [0.6295784399324447, 0.7261031080083589, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 12, "xyz": [1.0, 0.7142867384976158, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 13, "xyz": [0.0, 1.0, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 14, "xyz": [0.31800086721172344, 1.0, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 15, "xyz": [0.6904711010545035, 1.0, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 16, "xyz": [1.0, 1.0, 0.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 17, "xyz": [0.0, 0.0, 0.31040904830229277]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 18, "xyz": [0.2777844523936694, 0.0, 0.340800598743757]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 19, "xyz": [0.6089828171538932, 0.0, 0.37600300670769227]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 20, "xyz": [1.0, 0.0, 0.39127279992629]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 21, "xyz": [0.0, 0.2737737705050953, 0.3696657255165094]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 22, "xyz": [0.38124256009074275, 0.2779668080365649, 0.34132725581852985]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 23, "xyz": [0.7261665552938148, 0.2966218598767702, 0.31090073344351915]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 24, "xyz": [1.0, 0.33381112436048954, 0.28130120256419844]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 25, "xyz": [0.0, 0.7184592286655991, 0.28103878698851803]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 26, "xyz": [0.2962451065991113, 0.7261031080083589, 0.31040904830229277]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 27, "xyz": [0.6111177857270027, 0.7142867384976158, 0.340800598743757]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 28, "xyz": [1.0, 0.6815367191456442, 0.37600300670769227]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 29, "xyz": [0.0, 1.0, 0.3914085136552225]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 30, "xyz": [0.3571377677211701, 1.0, 0.3696657255165094]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 31, "xyz": [0.714575893424076, 1.0, 0.34132725581852985]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 32, "xyz": [1.0, 1.0, 0.31090073344351915]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 33, "xyz": [0.0, 0.0, 0.6741339320770904]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 34, "xyz": [0.2756494838205599, 0.0, 0.7093363400410255]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 35, "xyz": [0.6246741854110541, 0.0, 0.7246061332596233]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 36, "xyz": [1.0, 0.0, 0.7247418469885558]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 37, "xyz": [0.0, 0.2779668080365649, 0.6746605891518631]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 38, "xyz": [0.3928332219604814, 0.2966218598767702, 0.6442340667768525]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 39, "xyz": [0.7182163755580564, 0.33381112436048954, 0.6146345358975318]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 40, "xyz": [1.0, 0.3633945847208064, 0.6066672542736244]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 41, "xyz": [0.0, 0.7261031080083589, 0.6437423816356261]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 42, "xyz": [0.2777844523936694, 0.7142867384976158, 0.6741339320770904]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 43, "xyz": [0.6089828171538932, 0.6815367191456442, 0.7093363400410255]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 44, "xyz": [1.0, 0.6508727591847184, 0.7246061332596233]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 45, "xyz": [0.0, 1.0, 0.7029990588498427]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 46, "xyz": [0.38124256009074275, 1.0, 0.6746605891518631]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 47, "xyz": [0.7261665552938148, 1.0, 0.6442340667768525]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 48, "xyz": [1.0, 1.0, 0.6146345358975318]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 49, "xyz": [0.0, 0.0, 1.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 50, "xyz": [0.29134085207772076, 0.0, 1.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 51, "xyz": [0.6513342005450568, 0.0, 1.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 52, "xyz": [1.0, 0.0, 1.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 53, "xyz": [0.0, 0.2966218598767702, 1.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 54, "xyz": [0.3848830422247231, 0.33381112436048954, 1.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 55, "xyz": [0.6963134677349831, 0.3633945847208064, 1.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 56, "xyz": [1.0, 0.3851258953322657, 1.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 57, "xyz": [0.0, 0.7142867384976158, 1.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 58, "xyz": [0.2756494838205599, 0.6815367191456442, 1.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 59, "xyz": [0.6246741854110541, 0.6508727591847184, 1.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 60, "xyz": [1.0, 0.6243342471324431, 1.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 61, "xyz": [0.0, 1.0, 1.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 62, "xyz": [0.3928332219604814, 1.0, 1.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 63, "xyz": [0.7182163755580564, 1.0, 1.0]}},
|
||||
{"command": "mesh.node.add", "params": {"label": 64, "xyz": [1.0, 1.0, 1.0]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 1, "kind": "hex8", "nodes": [1, 2, 6, 5, 17, 18, 22, 21]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 2, "kind": "hex8", "nodes": [2, 3, 7, 6, 18, 19, 23, 22]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 3, "kind": "hex8", "nodes": [3, 4, 8, 7, 19, 20, 24, 23]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 4, "kind": "hex8", "nodes": [5, 6, 10, 9, 21, 22, 26, 25]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 5, "kind": "hex8", "nodes": [6, 7, 11, 10, 22, 23, 27, 26]}},
|
||||
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||||
{"command": "model.boundary_condition.create", "params": {"name": "n62", "type": "displacement", "target": {"set": "n62"}, "values": [0.40477785202634575, -0.5529368287572868, 0.1481589767309408, null, null, null]}},
|
||||
{"command": "model.set.create", "params": {"name": "n63", "nodes": [63]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "n63", "type": "displacement", "target": {"set": "n63"}, "values": [0.18785574962796237, -0.25661572623876583, 0.06875997661080335, null, null, null]}},
|
||||
{"command": "model.set.create", "params": {"name": "n64", "nodes": [64]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "n64", "type": "displacement", "target": {"set": "n64"}, "values": [0.0, 0.0, 0.0, null, null, null]}},
|
||||
{"command": "model.step.create", "params": {"name": "Turn", "procedure": {"type": "nonlinear_static"}, "boundary_conditions": ["n1", "n2", "n3", "n4", "n5", "n6", "n7", "n8", "n9", "n10", "n11", "n12", "n13", "n14", "n15", "n16", "n17", "n18", "n19", "n20", "n21", "n24", "n25", "n28", "n29", "n30", "n31", "n32", "n33", "n34", "n35", "n36", "n37", "n40", "n41", "n44", "n45", "n46", "n47", "n48", "n49", "n50", "n51", "n52", "n53", "n54", "n55", "n56", "n57", "n58", "n59", "n60", "n61", "n62", "n63", "n64"], "loads": []}},
|
||||
{"command": "solve.nonlinear", "params": {"step": "Turn"}, "id": "solve"}
|
||||
]
|
||||
Reference in new issue
Block a user