forked from 1b-agent/fieldcraft-upstream
solver: mortar contact in 2D models
Plane strain, plane stress and axisymmetric models take contact pairs and general (self) contact on the linear edges of tri3 and quad4 elements: edges oriented out of their elements, the edge mortar of fem with the thickness or 2 pi r in the weights, the element's area over the edge's length as the thickness under it, and the in-plane rows of the tangent blocks. Verified by the contact patch test in plane strain and axisymmetric (to 1e-9 small sliding, 1e-4 finite), Hertz's line contact on quad4 edges (Johnson 1985, 4.3; equal to the hex8 model's to 1e-5), and a hybrid rubber C-ring closing on itself that moves node for node as the one-layer solid ring. Co-Authored-By: Claude Opus 5.5 <[email protected]> Claude-Session: https://claude.ai/code/session_01UhhZMBTviDQxZvwnyP89fo
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jyvikoandClaude Opus 5.5 authored and Irakli Kourtis committed
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# Contact patch test, axisymmetric (implicit mortar contact, non-matching edges)
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The axisymmetric form of `nl-contact-patch`: two rings of unit square section, 1 ≤ r ≤ 2, stacked
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along the axis y and meshed independently (3 × 2 quad4 below, graded in r; 2 × 2 above), so the
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nodes of the interface at y = 1 do not match. A frictionless contact pair joins the lower ring's
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top edge (main) and the upper ring's bottom edge (secondary). The base y = 0 is held in y and
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the top y = 2 pushed down by 0.02 (E = 1000, ν = 0.3), in a `Small` (small sliding) and a `Finite`
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(finite sliding) nonlinear static step. Axial compression with free radial expansion is a
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uniform uniaxial stress σ_yy in both rings (u_r = −ν ε r, so the hoop strain equals the radial
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one), carried by a uniform contact pressure; the edge mortar integrals weight by 2πr, so the
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patch test checks that the radius enters the gaps and the forces consistently.
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@@ -0,0 +1,432 @@
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{
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"title": "Contact patch test, axisymmetric: two rings with non-matching edges in axial compression (implicit mortar contact)",
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"kind": "theory",
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"source": "The contact patch test: a contact discretisation must transmit a uniform pressure across a non-matching interface exactly; Taylor & Papadopoulos, On a patch test for contact problems in two dimensions, Nonlinear Computational Mechanics, Springer 1991, 690–702; passed by 2D mortar methods: Yang, Laursen & Meng, IJNME 62:1183–1225, 2005. Uniaxial stress between frictionless supports is uniform in both blocks",
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"quantities": [
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{
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"id": "small_lower_corner",
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"quantity": "Small: σ_yy of element 4 over that of element 7",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Small",
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"elements": [
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4
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]
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},
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"pointer": "/elements/0/stress/0/1",
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"over": {
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"command": "solve.probe",
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"params": {
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"step": "Small",
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"elements": [
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7
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]
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},
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"pointer": "/elements/0/stress/0/1"
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}
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},
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"value": 1.0,
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"tolerance": {
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"relative": 1e-06
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},
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"reason": "small sliding is linear and its edge mortar integrals exact (degree-3 Gauss on the overlaps): the uniform stress is the discrete solution up to the convergence tolerance"
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},
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{
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"id": "small_lower_far",
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"quantity": "Small: σ_yy of element 6 over that of element 7",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Small",
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"elements": [
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6
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]
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},
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"pointer": "/elements/0/stress/0/1",
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"over": {
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"command": "solve.probe",
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"params": {
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"step": "Small",
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"elements": [
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7
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]
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},
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"pointer": "/elements/0/stress/0/1"
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}
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},
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"value": 1.0,
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"tolerance": {
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"relative": 1e-06
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},
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"reason": "as for the corner element"
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},
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{
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"id": "small_lower_base",
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"quantity": "Small: σ_yy of element 1 over that of element 7",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Small",
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"elements": [
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1
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]
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},
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"pointer": "/elements/0/stress/0/1",
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"over": {
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"command": "solve.probe",
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"params": {
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"step": "Small",
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"elements": [
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7
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]
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},
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"pointer": "/elements/0/stress/0/1"
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}
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},
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"value": 1.0,
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"tolerance": {
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"relative": 1e-06
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},
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"reason": "as for the corner element"
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},
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{
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"id": "small_upper_top",
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"quantity": "Small: σ_yy of element 10 over that of element 7",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Small",
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"elements": [
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10
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]
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},
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"pointer": "/elements/0/stress/0/1",
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"over": {
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"command": "solve.probe",
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"params": {
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"step": "Small",
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"elements": [
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7
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]
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},
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"pointer": "/elements/0/stress/0/1"
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}
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},
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"value": 1.0,
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"tolerance": {
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"relative": 1e-06
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},
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"reason": "as for the corner element"
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},
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{
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"id": "small_lateral",
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"quantity": "Small: σ_xx of element 6 over its σ_yy (uniaxial stress: 0)",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Small",
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"elements": [
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6
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]
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},
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"pointer": "/elements/0/stress/0/0",
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"over": {
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"command": "solve.probe",
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"params": {
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"step": "Small",
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"elements": [
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6
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]
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},
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"pointer": "/elements/0/stress/0/1"
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}
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},
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"value": 0.0,
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"tolerance": {
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"absolute": 1e-06
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},
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"reason": "a frictionless interface (and symmetry plane) leaves the blocks free to expand sideways; the non-matching interface must not hold them"
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},
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{
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"id": "small_pressure",
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"quantity": "Small: the contact pressure at the secondary node (1.5, 1) over −σ_yy of element 7",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Small",
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"at": [
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[
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1.5,
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1.0,
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0.0
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]
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]
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},
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"pointer": "/nodes/0/contact/0/pressure",
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"over": {
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"command": "solve.probe",
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"params": {
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"step": "Small",
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"elements": [
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7
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]
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},
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"pointer": "/elements/0/stress/0/1",
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"scale": -1.0
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}
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},
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"value": 1.0,
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"tolerance": {
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"relative": 1e-06
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},
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"reason": "the mortar multipliers are the nodal values of the contact pressure, uniform and equal to the stress across the interface"
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},
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{
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"id": "small_force",
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"quantity": "Small: the integrated contact pressure over the reaction at the pushed top",
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"measure": {
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"from": "small",
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"pointer": "/contacts/0/normal_force",
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"over": {
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"command": "results.reactions",
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"params": {
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"step": "Small",
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"sets": [
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"top"
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]
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},
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"pointer": "/sets/0/force/1",
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"scale": -1.0
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}
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},
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"value": 1.0,
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"tolerance": {
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"relative": 1e-06
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},
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"reason": "the pressure carries the whole load across the interface (both are totals over the circumference)"
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},
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{
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"id": "finite_lower_corner",
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"quantity": "Finite: σ_yy of element 4 over that of element 7",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Finite",
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"elements": [
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4
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]
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},
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"pointer": "/elements/0/stress/0/1",
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"over": {
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"command": "solve.probe",
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"params": {
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"step": "Finite",
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"elements": [
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7
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]
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},
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"pointer": "/elements/0/stress/0/1"
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}
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},
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"value": 1.0,
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"tolerance": {
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"relative": 0.0002
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},
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"reason": "finite sliding is exact up to the geometric terms of the gaps the augmentation leaves (10⁻⁵ of the element thickness) and the default convergence tolerances"
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},
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{
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"id": "finite_lower_far",
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"quantity": "Finite: σ_yy of element 6 over that of element 7",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Finite",
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"elements": [
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6
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]
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},
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"pointer": "/elements/0/stress/0/1",
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"over": {
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"command": "solve.probe",
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"params": {
|
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"step": "Finite",
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"elements": [
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7
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]
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},
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"pointer": "/elements/0/stress/0/1"
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}
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},
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"value": 1.0,
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"tolerance": {
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"relative": 0.0002
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},
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"reason": "as for the corner element"
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},
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{
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"id": "finite_lower_base",
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"quantity": "Finite: σ_yy of element 1 over that of element 7",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Finite",
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"elements": [
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1
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]
|
||||
},
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||||
"pointer": "/elements/0/stress/0/1",
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||||
"over": {
|
||||
"command": "solve.probe",
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"params": {
|
||||
"step": "Finite",
|
||||
"elements": [
|
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7
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]
|
||||
},
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"pointer": "/elements/0/stress/0/1"
|
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}
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},
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"value": 1.0,
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"tolerance": {
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"relative": 0.0002
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},
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"reason": "as for the corner element"
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},
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{
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"id": "finite_upper_top",
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"quantity": "Finite: σ_yy of element 10 over that of element 7",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Finite",
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"elements": [
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10
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]
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},
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"pointer": "/elements/0/stress/0/1",
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"over": {
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"command": "solve.probe",
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"params": {
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"step": "Finite",
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"elements": [
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7
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]
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},
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"pointer": "/elements/0/stress/0/1"
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}
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},
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"value": 1.0,
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"tolerance": {
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"relative": 0.0002
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},
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"reason": "as for the corner element"
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},
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{
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"id": "finite_lateral",
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"quantity": "Finite: σ_xx of element 6 over its σ_yy (uniaxial stress: 0)",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Finite",
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"elements": [
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6
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]
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},
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"pointer": "/elements/0/stress/0/0",
|
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"over": {
|
||||
"command": "solve.probe",
|
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"params": {
|
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"step": "Finite",
|
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"elements": [
|
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6
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]
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},
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"pointer": "/elements/0/stress/0/1"
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}
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},
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"value": 0.0,
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"tolerance": {
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"absolute": 0.0002
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},
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"reason": "a frictionless interface (and symmetry plane) leaves the blocks free to expand sideways; the non-matching interface must not hold them"
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},
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{
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"id": "finite_pressure",
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"quantity": "Finite: the contact pressure at the secondary node (1.5, 1) over −σ_yy of element 7",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Finite",
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"at": [
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[
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1.5,
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1.0,
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0.0
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]
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]
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},
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"pointer": "/nodes/0/contact/0/pressure",
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"over": {
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||||
"command": "solve.probe",
|
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"params": {
|
||||
"step": "Finite",
|
||||
"elements": [
|
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7
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]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/1",
|
||||
"scale": -1.0
|
||||
}
|
||||
},
|
||||
"value": 1.0,
|
||||
"tolerance": {
|
||||
"relative": 0.0002
|
||||
},
|
||||
"reason": "the mortar multipliers are the nodal values of the contact pressure, uniform and equal to the stress across the interface"
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||||
},
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||||
{
|
||||
"id": "finite_force",
|
||||
"quantity": "Finite: the integrated contact pressure over the reaction at the pushed top",
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"measure": {
|
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"from": "finite",
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"pointer": "/contacts/0/normal_force",
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"over": {
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||||
"command": "results.reactions",
|
||||
"params": {
|
||||
"step": "Finite",
|
||||
"sets": [
|
||||
"top"
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||||
]
|
||||
},
|
||||
"pointer": "/sets/0/force/1",
|
||||
"scale": -1.0
|
||||
}
|
||||
},
|
||||
"value": 1.0,
|
||||
"tolerance": {
|
||||
"relative": 0.0002
|
||||
},
|
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"reason": "the pressure carries the whole load across the interface (both are totals over the circumference)"
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},
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||||
{
|
||||
"id": "small_stress",
|
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"quantity": "Small: σ_yy of element 7 (uniaxial stress E ε = −10 for the 1% squeeze)",
|
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"measure": {
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"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Small",
|
||||
"elements": [
|
||||
7
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/1"
|
||||
},
|
||||
"value": -10.0,
|
||||
"tolerance": {
|
||||
"relative": 0.0001
|
||||
},
|
||||
"reason": "the squeeze less the penetration the augmented Lagrangian leaves (up to 10⁻⁵ of the element thickness)"
|
||||
}
|
||||
]
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}
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@@ -0,0 +1,65 @@
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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": {
|
||||
"finite_force": {
|
||||
"band": 1.000000000000021e-9,
|
||||
"value": 1.0000000000000209
|
||||
},
|
||||
"finite_lateral": {
|
||||
"band": 0.0002,
|
||||
"value": -6.202292989414768e-6
|
||||
},
|
||||
"finite_lower_base": {
|
||||
"band": 1e-9,
|
||||
"value": 0.9999851288470675
|
||||
},
|
||||
"finite_lower_corner": {
|
||||
"band": 1.0000001256632718e-9,
|
||||
"value": 1.0000001256632718
|
||||
},
|
||||
"finite_lower_far": {
|
||||
"band": 1e-9,
|
||||
"value": 0.9999675186278648
|
||||
},
|
||||
"finite_pressure": {
|
||||
"band": 1e-9,
|
||||
"value": 0.999971468750515
|
||||
},
|
||||
"finite_upper_top": {
|
||||
"band": 1e-9,
|
||||
"value": 0.999981532712154
|
||||
},
|
||||
"small_force": {
|
||||
"band": 1e-9,
|
||||
"value": 0.9999999999999044
|
||||
},
|
||||
"small_lateral": {
|
||||
"band": 1e-6,
|
||||
"value": 3.4213832901728455e-15
|
||||
},
|
||||
"small_lower_base": {
|
||||
"band": 1.0000000000000207e-9,
|
||||
"value": 1.0000000000000207
|
||||
},
|
||||
"small_lower_corner": {
|
||||
"band": 1e-9,
|
||||
"value": 0.9999999999999943
|
||||
},
|
||||
"small_lower_far": {
|
||||
"band": 1.0000000000000418e-9,
|
||||
"value": 1.0000000000000417
|
||||
},
|
||||
"small_pressure": {
|
||||
"band": 1e-9,
|
||||
"value": 0.9999999999998981
|
||||
},
|
||||
"small_stress": {
|
||||
"band": 1e-8,
|
||||
"value": -9.999573821916737
|
||||
},
|
||||
"small_upper_top": {
|
||||
"band": 1.0000000000000296e-9,
|
||||
"value": 1.0000000000000295
|
||||
}
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,20 @@
|
||||
[
|
||||
{"command": "mesh.block", "params": {"body": "Lower", "kind": "quad4", "corners": [[1.0, 0, 0], [2.0, 0, 0], [2.0, 1, 0], [1.0, 1, 0]], "divisions": [3, 2], "bias": [2.0, 1.0], "edges": [{"corners": [1, 2], "name": "bottom"}, {"corners": [3, 4], "name": "top"}, {"corners": [4, 1], "name": "x0"}]}},
|
||||
{"command": "mesh.block", "params": {"body": "Upper", "kind": "quad4", "corners": [[1.0, 1, 0], [2.0, 1, 0], [2.0, 2, 0], [1.0, 2, 0]], "divisions": [2, 2], "edges": [{"corners": [1, 2], "name": "bottom"}, {"corners": [3, 4], "name": "top"}, {"corners": [4, 1], "name": "x0"}], "merge": 0}},
|
||||
{"command": "model.set.create", "params": {"name": "lower", "geometry": [{"body": "Lower", "face": "area"}]}},
|
||||
{"command": "model.set.create", "params": {"name": "upper", "geometry": [{"body": "Upper", "face": "area"}]}},
|
||||
{"command": "model.set.create", "params": {"name": "lower_top", "geometry": [{"body": "Lower", "edge": "top"}]}},
|
||||
{"command": "model.set.create", "params": {"name": "upper_bottom", "geometry": [{"body": "Upper", "edge": "bottom"}]}},
|
||||
{"command": "model.set.create", "params": {"name": "base", "geometry": [{"body": "Lower", "edge": "bottom"}]}},
|
||||
{"command": "model.set.create", "params": {"name": "top", "geometry": [{"body": "Upper", "edge": "top"}]}},
|
||||
{"command": "model.material.create", "params": {"name": "Mat", "elastic": {"type": "isotropic", "young": 1000.0, "poisson": 0.3}}},
|
||||
{"command": "model.section.create", "params": {"name": "lower", "set": "lower", "material": "Mat", "kind": {"type": "axisymmetric"}}},
|
||||
{"command": "model.section.create", "params": {"name": "upper", "set": "upper", "material": "Mat", "kind": {"type": "axisymmetric"}}},
|
||||
{"command": "interaction.contact.pair", "params": {"name": "interface", "main": "lower_top", "secondary": "upper_bottom"}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "base", "type": "displacement", "target": {"set": "base"}, "values": [null, 0, null, null, null, null]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "push", "type": "displacement", "target": {"set": "top"}, "values": [null, -0.02, null, null, null, null]}},
|
||||
{"command": "model.step.create", "params": {"name": "Small", "procedure": {"type": "nonlinear_static", "nonlinear_geometry": false, "tolerances": {"force": 1e-10, "displacement": 1e-08, "energy": 1e-16}}, "boundary_conditions": ["base", "push"], "loads": []}},
|
||||
{"command": "model.step.create", "params": {"name": "Finite", "procedure": {"type": "nonlinear_static"}, "boundary_conditions": ["base", "push"], "loads": []}},
|
||||
{"command": "solve.nonlinear", "params": {"step": "Small"}, "id": "small"},
|
||||
{"command": "solve.nonlinear", "params": {"step": "Finite"}, "id": "finite"}
|
||||
]
|
||||
@@ -0,0 +1,10 @@
|
||||
# Contact patch test in plane strain (implicit mortar contact, non-matching edges)
|
||||
|
||||
The 2D form of `nl-contact-patch`: two unit squares stacked along y in plane strain (2 mm thick),
|
||||
meshed independently: 3 × 2 quad4 below (graded in x), 2 × 2 above, so the nodes of the interface
|
||||
at y = 1 do not match. A frictionless contact pair joins the lower block's top edge (main) and
|
||||
the upper block's bottom edge (secondary). The edge x = 0 is a symmetry line, the base y = 0 is
|
||||
held in y, and the top y = 2 is pushed down by 0.02 (E = 1000, ν = 0.3) in two nonlinear static
|
||||
steps: `Small` without nonlinear geometry (small sliding) and `Finite` with it (finite sliding).
|
||||
The exact state is uniaxial stress σ_yy (σ_zz = ν σ_yy out of plane), uniform in both blocks,
|
||||
with a uniform contact pressure equal to it.
|
||||
@@ -0,0 +1,432 @@
|
||||
{
|
||||
"title": "Contact patch test in plane strain: two blocks with non-matching edges in uniaxial compression (implicit mortar contact)",
|
||||
"kind": "theory",
|
||||
"source": "The contact patch test: a contact discretisation must transmit a uniform pressure across a non-matching interface exactly; Taylor & Papadopoulos, On a patch test for contact problems in two dimensions, Nonlinear Computational Mechanics, Springer 1991, 690–702; passed by 2D mortar methods: Yang, Laursen & Meng, IJNME 62:1183–1225, 2005. Uniaxial stress between frictionless supports is uniform in both blocks",
|
||||
"quantities": [
|
||||
{
|
||||
"id": "small_lower_corner",
|
||||
"quantity": "Small: σ_yy of element 4 over that of element 7",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Small",
|
||||
"elements": [
|
||||
4
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/1",
|
||||
"over": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Small",
|
||||
"elements": [
|
||||
7
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/1"
|
||||
}
|
||||
},
|
||||
"value": 1.0,
|
||||
"tolerance": {
|
||||
"relative": 1e-06
|
||||
},
|
||||
"reason": "small sliding is linear and its edge mortar integrals exact (degree-3 Gauss on the overlaps): the uniform stress is the discrete solution up to the convergence tolerance"
|
||||
},
|
||||
{
|
||||
"id": "small_lower_far",
|
||||
"quantity": "Small: σ_yy of element 6 over that of element 7",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Small",
|
||||
"elements": [
|
||||
6
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/1",
|
||||
"over": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Small",
|
||||
"elements": [
|
||||
7
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/1"
|
||||
}
|
||||
},
|
||||
"value": 1.0,
|
||||
"tolerance": {
|
||||
"relative": 1e-06
|
||||
},
|
||||
"reason": "as for the corner element"
|
||||
},
|
||||
{
|
||||
"id": "small_lower_base",
|
||||
"quantity": "Small: σ_yy of element 1 over that of element 7",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Small",
|
||||
"elements": [
|
||||
1
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/1",
|
||||
"over": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Small",
|
||||
"elements": [
|
||||
7
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/1"
|
||||
}
|
||||
},
|
||||
"value": 1.0,
|
||||
"tolerance": {
|
||||
"relative": 1e-06
|
||||
},
|
||||
"reason": "as for the corner element"
|
||||
},
|
||||
{
|
||||
"id": "small_upper_top",
|
||||
"quantity": "Small: σ_yy of element 10 over that of element 7",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Small",
|
||||
"elements": [
|
||||
10
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/1",
|
||||
"over": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Small",
|
||||
"elements": [
|
||||
7
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/1"
|
||||
}
|
||||
},
|
||||
"value": 1.0,
|
||||
"tolerance": {
|
||||
"relative": 1e-06
|
||||
},
|
||||
"reason": "as for the corner element"
|
||||
},
|
||||
{
|
||||
"id": "small_lateral",
|
||||
"quantity": "Small: σ_xx of element 6 over its σ_yy (uniaxial stress: 0)",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Small",
|
||||
"elements": [
|
||||
6
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/0",
|
||||
"over": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Small",
|
||||
"elements": [
|
||||
6
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/1"
|
||||
}
|
||||
},
|
||||
"value": 0.0,
|
||||
"tolerance": {
|
||||
"absolute": 1e-06
|
||||
},
|
||||
"reason": "a frictionless interface (and symmetry plane) leaves the blocks free to expand sideways; the non-matching interface must not hold them"
|
||||
},
|
||||
{
|
||||
"id": "small_pressure",
|
||||
"quantity": "Small: the contact pressure at the secondary node (0.5, 1) over −σ_yy of element 7",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Small",
|
||||
"at": [
|
||||
[
|
||||
0.5,
|
||||
1.0,
|
||||
0.0
|
||||
]
|
||||
]
|
||||
},
|
||||
"pointer": "/nodes/0/contact/0/pressure",
|
||||
"over": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Small",
|
||||
"elements": [
|
||||
7
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/1",
|
||||
"scale": -1.0
|
||||
}
|
||||
},
|
||||
"value": 1.0,
|
||||
"tolerance": {
|
||||
"relative": 1e-06
|
||||
},
|
||||
"reason": "the mortar multipliers are the nodal values of the contact pressure, uniform and equal to the stress across the interface"
|
||||
},
|
||||
{
|
||||
"id": "small_force",
|
||||
"quantity": "Small: the integrated contact pressure over the reaction at the pushed top",
|
||||
"measure": {
|
||||
"from": "small",
|
||||
"pointer": "/contacts/0/normal_force",
|
||||
"over": {
|
||||
"command": "results.reactions",
|
||||
"params": {
|
||||
"step": "Small",
|
||||
"sets": [
|
||||
"top"
|
||||
]
|
||||
},
|
||||
"pointer": "/sets/0/force/1",
|
||||
"scale": -1.0
|
||||
}
|
||||
},
|
||||
"value": 1.0,
|
||||
"tolerance": {
|
||||
"relative": 1e-06
|
||||
},
|
||||
"reason": "the pressure carries the whole load across the interface (both are totals over the thickness)"
|
||||
},
|
||||
{
|
||||
"id": "finite_lower_corner",
|
||||
"quantity": "Finite: σ_yy of element 4 over that of element 7",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Finite",
|
||||
"elements": [
|
||||
4
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/1",
|
||||
"over": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Finite",
|
||||
"elements": [
|
||||
7
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/1"
|
||||
}
|
||||
},
|
||||
"value": 1.0,
|
||||
"tolerance": {
|
||||
"relative": 0.0002
|
||||
},
|
||||
"reason": "finite sliding is exact up to the geometric terms of the gaps the augmentation leaves (10⁻⁵ of the element thickness) and the default convergence tolerances"
|
||||
},
|
||||
{
|
||||
"id": "finite_lower_far",
|
||||
"quantity": "Finite: σ_yy of element 6 over that of element 7",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Finite",
|
||||
"elements": [
|
||||
6
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/1",
|
||||
"over": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Finite",
|
||||
"elements": [
|
||||
7
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/1"
|
||||
}
|
||||
},
|
||||
"value": 1.0,
|
||||
"tolerance": {
|
||||
"relative": 0.0002
|
||||
},
|
||||
"reason": "as for the corner element"
|
||||
},
|
||||
{
|
||||
"id": "finite_lower_base",
|
||||
"quantity": "Finite: σ_yy of element 1 over that of element 7",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Finite",
|
||||
"elements": [
|
||||
1
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/1",
|
||||
"over": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Finite",
|
||||
"elements": [
|
||||
7
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/1"
|
||||
}
|
||||
},
|
||||
"value": 1.0,
|
||||
"tolerance": {
|
||||
"relative": 0.0002
|
||||
},
|
||||
"reason": "as for the corner element"
|
||||
},
|
||||
{
|
||||
"id": "finite_upper_top",
|
||||
"quantity": "Finite: σ_yy of element 10 over that of element 7",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Finite",
|
||||
"elements": [
|
||||
10
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/1",
|
||||
"over": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Finite",
|
||||
"elements": [
|
||||
7
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/1"
|
||||
}
|
||||
},
|
||||
"value": 1.0,
|
||||
"tolerance": {
|
||||
"relative": 0.0002
|
||||
},
|
||||
"reason": "as for the corner element"
|
||||
},
|
||||
{
|
||||
"id": "finite_lateral",
|
||||
"quantity": "Finite: σ_xx of element 6 over its σ_yy (uniaxial stress: 0)",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Finite",
|
||||
"elements": [
|
||||
6
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/0",
|
||||
"over": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Finite",
|
||||
"elements": [
|
||||
6
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/1"
|
||||
}
|
||||
},
|
||||
"value": 0.0,
|
||||
"tolerance": {
|
||||
"absolute": 0.0002
|
||||
},
|
||||
"reason": "a frictionless interface (and symmetry plane) leaves the blocks free to expand sideways; the non-matching interface must not hold them"
|
||||
},
|
||||
{
|
||||
"id": "finite_pressure",
|
||||
"quantity": "Finite: the contact pressure at the secondary node (0.5, 1) over −σ_yy of element 7",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Finite",
|
||||
"at": [
|
||||
[
|
||||
0.5,
|
||||
1.0,
|
||||
0.0
|
||||
]
|
||||
]
|
||||
},
|
||||
"pointer": "/nodes/0/contact/0/pressure",
|
||||
"over": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Finite",
|
||||
"elements": [
|
||||
7
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/1",
|
||||
"scale": -1.0
|
||||
}
|
||||
},
|
||||
"value": 1.0,
|
||||
"tolerance": {
|
||||
"relative": 0.0002
|
||||
},
|
||||
"reason": "the mortar multipliers are the nodal values of the contact pressure, uniform and equal to the stress across the interface"
|
||||
},
|
||||
{
|
||||
"id": "finite_force",
|
||||
"quantity": "Finite: the integrated contact pressure over the reaction at the pushed top",
|
||||
"measure": {
|
||||
"from": "finite",
|
||||
"pointer": "/contacts/0/normal_force",
|
||||
"over": {
|
||||
"command": "results.reactions",
|
||||
"params": {
|
||||
"step": "Finite",
|
||||
"sets": [
|
||||
"top"
|
||||
]
|
||||
},
|
||||
"pointer": "/sets/0/force/1",
|
||||
"scale": -1.0
|
||||
}
|
||||
},
|
||||
"value": 1.0,
|
||||
"tolerance": {
|
||||
"relative": 0.0002
|
||||
},
|
||||
"reason": "the pressure carries the whole load across the interface (both are totals over the thickness)"
|
||||
},
|
||||
{
|
||||
"id": "small_stress",
|
||||
"quantity": "Small: σ_yy of element 7 (plane strain uniaxial stress E ε/(1 − ν²) = −10.989 for the 1% squeeze)",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Small",
|
||||
"elements": [
|
||||
7
|
||||
]
|
||||
},
|
||||
"pointer": "/elements/0/stress/0/1"
|
||||
},
|
||||
"value": -10.989010989010989,
|
||||
"tolerance": {
|
||||
"relative": 0.0001
|
||||
},
|
||||
"reason": "the squeeze less the penetration the augmented Lagrangian leaves (up to 10⁻⁵ of the element thickness)"
|
||||
}
|
||||
]
|
||||
}
|
||||
@@ -0,0 +1,65 @@
|
||||
{
|
||||
"note": "FieldCraft's accepted results for this case, written by `cargo xtask oracle --bless`. A result outside its band fails CI.",
|
||||
"values": {
|
||||
"finite_force": {
|
||||
"band": 1.0000000000022103e-9,
|
||||
"value": 1.0000000000022102
|
||||
},
|
||||
"finite_lateral": {
|
||||
"band": 0.0002,
|
||||
"value": -1.8586502985840345e-6
|
||||
},
|
||||
"finite_lower_base": {
|
||||
"band": 1e-9,
|
||||
"value": 0.9999968799408236
|
||||
},
|
||||
"finite_lower_corner": {
|
||||
"band": 1.0000007080194146e-9,
|
||||
"value": 1.0000007080194144
|
||||
},
|
||||
"finite_lower_far": {
|
||||
"band": 1e-9,
|
||||
"value": 0.9999913032274111
|
||||
},
|
||||
"finite_pressure": {
|
||||
"band": 1e-9,
|
||||
"value": 0.9999924972272739
|
||||
},
|
||||
"finite_upper_top": {
|
||||
"band": 1e-9,
|
||||
"value": 0.9999957165083484
|
||||
},
|
||||
"small_force": {
|
||||
"band": 1e-9,
|
||||
"value": 0.9999999999999859
|
||||
},
|
||||
"small_lateral": {
|
||||
"band": 1e-6,
|
||||
"value": -8.925527731170228e-15
|
||||
},
|
||||
"small_lower_base": {
|
||||
"band": 1e-9,
|
||||
"value": 0.9999999999999801
|
||||
},
|
||||
"small_lower_corner": {
|
||||
"band": 1.0000000000000059e-9,
|
||||
"value": 1.0000000000000058
|
||||
},
|
||||
"small_lower_far": {
|
||||
"band": 1e-9,
|
||||
"value": 0.9999999999999546
|
||||
},
|
||||
"small_pressure": {
|
||||
"band": 1e-9,
|
||||
"value": 0.9999999999999142
|
||||
},
|
||||
"small_stress": {
|
||||
"band": 1.098901098901099e-8,
|
||||
"value": -10.988443575433445
|
||||
},
|
||||
"small_upper_top": {
|
||||
"band": 1e-9,
|
||||
"value": 0.9999999999999762
|
||||
}
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,22 @@
|
||||
[
|
||||
{"command": "mesh.block", "params": {"body": "Lower", "kind": "quad4", "corners": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "divisions": [3, 2], "bias": [2.0, 1.0], "edges": [{"corners": [1, 2], "name": "bottom"}, {"corners": [3, 4], "name": "top"}, {"corners": [4, 1], "name": "x0"}]}},
|
||||
{"command": "mesh.block", "params": {"body": "Upper", "kind": "quad4", "corners": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "divisions": [2, 2], "edges": [{"corners": [1, 2], "name": "bottom"}, {"corners": [3, 4], "name": "top"}, {"corners": [4, 1], "name": "x0"}], "merge": 0}},
|
||||
{"command": "model.set.create", "params": {"name": "lower", "geometry": [{"body": "Lower", "face": "area"}]}},
|
||||
{"command": "model.set.create", "params": {"name": "upper", "geometry": [{"body": "Upper", "face": "area"}]}},
|
||||
{"command": "model.set.create", "params": {"name": "lower_top", "geometry": [{"body": "Lower", "edge": "top"}]}},
|
||||
{"command": "model.set.create", "params": {"name": "upper_bottom", "geometry": [{"body": "Upper", "edge": "bottom"}]}},
|
||||
{"command": "model.set.create", "params": {"name": "x0", "geometry": [{"body": "Lower", "edge": "x0"}, {"body": "Upper", "edge": "x0"}]}},
|
||||
{"command": "model.set.create", "params": {"name": "base", "geometry": [{"body": "Lower", "edge": "bottom"}]}},
|
||||
{"command": "model.set.create", "params": {"name": "top", "geometry": [{"body": "Upper", "edge": "top"}]}},
|
||||
{"command": "model.material.create", "params": {"name": "Mat", "elastic": {"type": "isotropic", "young": 1000.0, "poisson": 0.3}}},
|
||||
{"command": "model.section.create", "params": {"name": "lower", "set": "lower", "material": "Mat", "kind": {"type": "plane_strain", "thickness": 2.0}}},
|
||||
{"command": "model.section.create", "params": {"name": "upper", "set": "upper", "material": "Mat", "kind": {"type": "plane_strain", "thickness": 2.0}}},
|
||||
{"command": "interaction.contact.pair", "params": {"name": "interface", "main": "lower_top", "secondary": "upper_bottom"}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "x0", "type": "displacement", "target": {"set": "x0"}, "values": [0, null, null, null, null, null]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "base", "type": "displacement", "target": {"set": "base"}, "values": [null, 0, null, null, null, null]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "push", "type": "displacement", "target": {"set": "top"}, "values": [null, -0.02, null, null, null, null]}},
|
||||
{"command": "model.step.create", "params": {"name": "Small", "procedure": {"type": "nonlinear_static", "nonlinear_geometry": false, "tolerances": {"force": 1e-10, "displacement": 1e-08, "energy": 1e-16}}, "boundary_conditions": ["x0", "base", "push"], "loads": []}},
|
||||
{"command": "model.step.create", "params": {"name": "Finite", "procedure": {"type": "nonlinear_static"}, "boundary_conditions": ["x0", "base", "push"], "loads": []}},
|
||||
{"command": "solve.nonlinear", "params": {"step": "Small"}, "id": "small"},
|
||||
{"command": "solve.nonlinear", "params": {"step": "Finite"}, "id": "finite"}
|
||||
]
|
||||
@@ -0,0 +1,12 @@
|
||||
# Hertz line contact in plane strain (implicit mortar contact of 2D edges)
|
||||
|
||||
The 2D form of `nl-hertz-cylinder`: the same steel cylinder of radius R = 10 mm on a steel block
|
||||
(E = 210 GPa, ν = 0.3; mm, N, MPa), now a plane strain model of unit thickness meshed with quad4:
|
||||
the cylinder's lower part a 2.5 mm wide block whose bottom edge is the circular arc (20 × 10,
|
||||
graded towards the contact), on a 5 × 5 mm foundation (24 × 14), symmetric about x = 0. A
|
||||
pressure on the indenter's top edge carries the load P = 2265.57 N/mm (per length of the whole
|
||||
cylinder) for Hertz's half-width b = 0.5 mm and peak pressure p₀ = 2884.6 MPa. Soft springs hold
|
||||
the indenter's top until the contact closes. One nonlinear static step without nonlinear
|
||||
geometry: small sliding, edge-to-edge mortar contact of the round edge (secondary) on the flat
|
||||
(main) by an augmented Lagrangian. The references and tolerances are the 3D case's, so the two
|
||||
discretisations of one problem are checked against one closed form.
|
||||
@@ -0,0 +1,125 @@
|
||||
{
|
||||
"title": "Hertz line contact: a cylinder pressed on a flat (implicit mortar contact of 2D edges, plane strain)",
|
||||
"kind": "theory",
|
||||
"source": "H. Hertz, Über die Berührung fester elastischer Körper, J. reine angew. Math. 92:156–171, 1882; K. L. Johnson, Contact Mechanics, Cambridge University Press 1985, §4.3 (two-dimensional contact of cylindrical bodies, eqs. 4.45–4.49): b = √(4PR/(πE*)), p₀ = 2P/(πb), with 1/E* = 2(1 − ν²)/E for two bodies of one material and R the cylinder's radius on a flat",
|
||||
"quantities": [
|
||||
{
|
||||
"id": "peak_pressure",
|
||||
"quantity": "the largest contact pressure p₀ (at x = 0)",
|
||||
"measure": {
|
||||
"from": "solve",
|
||||
"pointer": "/contacts/0/max_pressure/value"
|
||||
},
|
||||
"value": 2884.6153846153843,
|
||||
"tolerance": {
|
||||
"relative": 0.02
|
||||
},
|
||||
"reason": "p₀ = 2P/(πb) for the load per length P = 2265.57 N/mm, b = 0.5 mm; the contact width spans seven elements of the graded mesh"
|
||||
},
|
||||
{
|
||||
"id": "normal_force",
|
||||
"quantity": "the force across the contact (half model, 1 mm thick)",
|
||||
"measure": {
|
||||
"from": "solve",
|
||||
"pointer": "/contacts/0/normal_force"
|
||||
},
|
||||
"value": 1132.7858125924733,
|
||||
"tolerance": {
|
||||
"relative": 0.002
|
||||
},
|
||||
"reason": "the pressure carries the whole load; the soft springs that hold the indenter before contact take a millionth"
|
||||
},
|
||||
{
|
||||
"id": "pressure_x0296",
|
||||
"quantity": "the contact pressure at the secondary node at x = 0.29594",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Press",
|
||||
"at": [
|
||||
[
|
||||
0.29594,
|
||||
0.00438,
|
||||
0.0
|
||||
]
|
||||
]
|
||||
},
|
||||
"pointer": "/nodes/0/contact/0/pressure"
|
||||
},
|
||||
"value": 2325.066800691437,
|
||||
"tolerance": {
|
||||
"relative": 0.05
|
||||
},
|
||||
"reason": "p₀ √(1 − x²/b²) at the node; the nodal pressure (the node's normal force over the area it carries) averages the distribution over the node's elements"
|
||||
},
|
||||
{
|
||||
"id": "pressure_x0367",
|
||||
"quantity": "the contact pressure at the secondary node at x = 0.36701",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Press",
|
||||
"at": [
|
||||
[
|
||||
0.36701,
|
||||
0.006737,
|
||||
0.0
|
||||
]
|
||||
]
|
||||
},
|
||||
"pointer": "/nodes/0/contact/0/pressure"
|
||||
},
|
||||
"value": 1959.0164149439815,
|
||||
"tolerance": {
|
||||
"relative": 0.1
|
||||
},
|
||||
"reason": "as at node 7, nearer the edge, where the elements round off the square-root fall of the pressure to zero at b"
|
||||
},
|
||||
{
|
||||
"id": "pressure_x0633",
|
||||
"quantity": "the contact pressure at the secondary node at x = 0.63325 (beyond the half-width b = 0.5)",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Press",
|
||||
"at": [
|
||||
[
|
||||
0.63325,
|
||||
0.02007,
|
||||
0.0
|
||||
]
|
||||
]
|
||||
},
|
||||
"pointer": "/nodes/0/contact/0/pressure"
|
||||
},
|
||||
"value": 0.0,
|
||||
"tolerance": {
|
||||
"absolute": 1.0
|
||||
},
|
||||
"reason": "outside the contact the surfaces are apart: no pressure (an element beyond b, since the edge element carries part of the last closed node's pressure)"
|
||||
},
|
||||
{
|
||||
"id": "syy_depth",
|
||||
"quantity": "the vertical stress σ_yy under the centre of contact at depth 0.47127",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Press",
|
||||
"at": [
|
||||
[
|
||||
0.0,
|
||||
-0.47127,
|
||||
0.0
|
||||
]
|
||||
]
|
||||
},
|
||||
"pointer": "/nodes/0/stress/1"
|
||||
},
|
||||
"value": -2099.1580228637245,
|
||||
"tolerance": {
|
||||
"relative": 0.04
|
||||
},
|
||||
"reason": "σ_z = −p₀ / √(1 + z²/b²) on the axis of a half-plane (Johnson 1985, eq. 4.49); the foundation is ten half-widths wide and deep, not a half-plane, and the stress is the nodal average of the elements around the node"
|
||||
}
|
||||
]
|
||||
}
|
||||
@@ -0,0 +1,29 @@
|
||||
{
|
||||
"note": "FieldCraft's accepted results for this case, written by `cargo xtask oracle --bless`. A result outside its band fails CI.",
|
||||
"values": {
|
||||
"normal_force": {
|
||||
"band": 1.1330442926242355e-6,
|
||||
"value": 1133.0442926242354
|
||||
},
|
||||
"peak_pressure": {
|
||||
"band": 2.8919633998947767e-6,
|
||||
"value": 2891.9633998947766
|
||||
},
|
||||
"pressure_x0296": {
|
||||
"band": 2.325066800691437e-6,
|
||||
"value": 2257.8514097926386
|
||||
},
|
||||
"pressure_x0367": {
|
||||
"band": 2.078406343070884e-6,
|
||||
"value": 2078.406343070884
|
||||
},
|
||||
"pressure_x0633": {
|
||||
"band": 1.0,
|
||||
"value": -0.0
|
||||
},
|
||||
"syy_depth": {
|
||||
"band": 2.0991580228637247e-6,
|
||||
"value": -2059.829517894975
|
||||
}
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,21 @@
|
||||
[
|
||||
{"command": "mesh.block", "params": {"body": "Indenter", "kind": "quad4", "corners": [[0, 0, 0], [2.5, 0.3175416344814579, 0], [2.5, 3.0, 0], [0, 3.0, 0]], "divisions": [20, 10], "bias": [8, 8], "edges": [{"corners": [1, 2], "arc": {"center": [0, 10.0, 0]}, "name": "round"}, {"corners": [3, 4], "name": "top"}, {"corners": [4, 1], "name": "sym"}]}},
|
||||
{"command": "mesh.block", "params": {"body": "Foundation", "kind": "quad4", "corners": [[0, -5, 0], [5, -5, 0], [5, 0, 0], [0, 0, 0]], "divisions": [24, 14], "bias": [10, 0.1], "edges": [{"corners": [1, 2], "name": "base"}, {"corners": [3, 4], "name": "flat"}, {"corners": [4, 1], "name": "sym"}], "merge": 0}},
|
||||
{"command": "model.set.create", "params": {"name": "indenter", "geometry": [{"body": "Indenter", "face": "area"}]}},
|
||||
{"command": "model.set.create", "params": {"name": "foundation", "geometry": [{"body": "Foundation", "face": "area"}]}},
|
||||
{"command": "model.set.create", "params": {"name": "round", "geometry": [{"body": "Indenter", "edge": "round"}]}},
|
||||
{"command": "model.set.create", "params": {"name": "flat", "geometry": [{"body": "Foundation", "edge": "flat"}]}},
|
||||
{"command": "model.set.create", "params": {"name": "top", "geometry": [{"body": "Indenter", "edge": "top"}]}},
|
||||
{"command": "model.set.create", "params": {"name": "base", "geometry": [{"body": "Foundation", "edge": "base"}]}},
|
||||
{"command": "model.set.create", "params": {"name": "sym", "geometry": [{"body": "Indenter", "edge": "sym"}, {"body": "Foundation", "edge": "sym"}]}},
|
||||
{"command": "model.material.create", "params": {"name": "Steel", "elastic": {"type": "isotropic", "young": 210000.0, "poisson": 0.3}}},
|
||||
{"command": "model.section.create", "params": {"name": "indenter", "set": "indenter", "material": "Steel", "kind": {"type": "plane_strain", "thickness": 1.0}}},
|
||||
{"command": "model.section.create", "params": {"name": "foundation", "set": "foundation", "material": "Steel", "kind": {"type": "plane_strain", "thickness": 1.0}}},
|
||||
{"command": "interaction.contact.pair", "params": {"name": "hertz", "main": "flat", "secondary": "round"}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "sym", "type": "displacement", "target": {"set": "sym"}, "values": [0, null, null, null, null, null]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "base", "type": "displacement", "target": {"set": "base"}, "values": [null, 0, null, null, null, null]}},
|
||||
{"command": "model.spring.create", "params": {"name": "hold", "type": "spring", "first": {"set": "top"}, "direction": {"dof": 2}, "stiffness": 0.01}},
|
||||
{"command": "model.load.create", "params": {"name": "press", "type": "pressure", "set": "top", "magnitude": 453.1143250369893}},
|
||||
{"command": "model.step.create", "params": {"name": "Press", "procedure": {"type": "nonlinear_static", "nonlinear_geometry": false, "max_iterations": 60}, "boundary_conditions": ["sym", "base"], "loads": ["press"]}},
|
||||
{"command": "solve.nonlinear", "params": {"step": "Press"}, "id": "solve"}
|
||||
]
|
||||
Reference in new issue
Block a user