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jyvikoandClaude Opus 5.5 d586d84859 verification: hyperelastic and thermal oracle cases and documentation
Five cases against closed forms: a Mooney-Rivlin block in Treloar's
uniaxial, equibiaxial and pure-shear modes and a Yeoh block in uniaxial
tension (the compressible energy's stresses, exact); a stretched
Mooney-Rivlin tube inflated by a follower pressure (Rivlin's incompressible
solution, 0.6 % at nu = 0.4995); free and fully held thermal expansion at a
thermal stretch of 1.2 (exact); a bar held at its ends heated past yield
(exact). docs/fem.md, the literature, ROADMAP (M15, M17), parity and the
oracle page follow.

Co-Authored-By: Claude Opus 5.5 <[email protected]>
Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm
2026-10-14 07:23:06 -04:00
..

Yeoh block in uniaxial tension

One hybrid hex20 unit cube on three symmetry planes, E = 3, ν = 0.49, Yeoh with C₁₀ = μ/2, C₂₀ = −0.02 and C₃₀ = 0.004, pulled to λ = 2 in a nonlinear static step. The reference is the compressible decoupled energy's axial Cauchy stress σ = (λ/J) ∂W/∂λ with the lateral stretch found by bisection so σ_yy = 0.