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 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm
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@@ -1211,3 +1211,20 @@ update are written from (cited again in the module docs):
B. G. Neal, *The Plastic Methods of Structural Analysis*, 3rd ed., Chapman & Hall 1977, and the
continuum's velocity fields, W. Prager, P. G. Hodge, *Theory of Perfectly Plastic Solids*,
Wiley 1951.
## Part O: Polynomial hyperelasticity and thermal strain in nonlinear steps, as implemented
- Decoupled invariant-based hyperelasticity, the fictitious stress and elasticity and their
projection: G. A. Holzapfel, *Nonlinear Solid Mechanics*, Wiley 2000, §6.4–6.6 (eqs. 6.168,
6.193).
- Mooney–Rivlin: M. Mooney, *A theory of large elastic deformation*, J. Appl. Phys.
11(9):582–592, 1940; R. S. Rivlin, *Large elastic deformations of isotropic materials IV*,
Phil. Trans. R. Soc. A 241:379–397, 1948. Yeoh: O. H. Yeoh, *Some forms of the strain energy
function for rubber*, Rubber Chem. Technol. 66(5):754–771, 1993.
- The homogeneous modes of rubber testing: L. R. G. Treloar, *The Physics of Rubber
Elasticity*, 3rd ed., Oxford 1975, ch. 10; the inflation and extension of a tube: R. S. Rivlin,
Phil. Trans. R. Soc. A 242:173–195, 1949, and R. W. Ogden, *Non-Linear Elastic Deformations*,
Dover 1997, §5.3.
- Thermal strain by the multiplicative split F = F_m F_θ: V. A. Lubarda, *Constitutive
theories based on the multiplicative decomposition of deformation gradient: thermoelasticity,
elastoplasticity, and biomechanics*, Appl. Mech. Rev. 57(2):95–108, 2004.