forked from 1b-agent/fieldcraft-upstream
jyvikoandClaude Opus 5.5
8ca2dddeec
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
7 lines
363 B
Markdown
7 lines
363 B
Markdown
# Rigid rotation: objectivity
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The distorted 3 × 3 × 3 hex8 cube of nl-patch-hex8 (neo-Hookean, E = 1000, ν = 0.3) with every
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boundary node prescribed the motion of a 90° rotation about the axis (1, 1, 1)/√3, applied in
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one ramp (the intermediate states are not rigid; the end state is). The inner nodes must follow
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the rotation and the stress must vanish.
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