Rubber Elasticity Theory L1-336

Materials ScienceEntropic elasticity of networksδ=3 · standardL_DAG = 2.8📋 Stub — not mineable

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Unclaimed Principle — open for contribution

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Forward model E

σ_{i} = (n_{c} \cdot k_{B} \cdot T) \cdot (λ_{i}^{2} - 1/ (λ_{1} \cdot λ_{2} \cdot λ_{3})) + C_{2} \cdot cor r ec t i o n

Affine network rubber elasticity: free energy F = (n_c*k_B*T/2)*(lambda_1^2 + lambda_2^2 + lambda_3^2 - 3); Mooney-Rivlin and Ogden extensions for finite extensibility.

L-DAG

E.network_entropy -> E.affine_deformation -> O.stress_strain

E.network_entropyE.affine_deformationO.stress_strain

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 60

Well-posed; inversion of (n_c, C_2) from uniaxial alone is ill-conditioned — requires biaxial.

Solvability C

Solver class:: Nonlinear least squares LM; Bayesian hyperelastic fit
Convergence rate q:: 2
Complexity:: principle-dependent

Specs (0)

No L2 specs registered yet for this principle.