Module hyperelastic 

Hyperelastic solid constitutive models.

---

Hyperelastic solid constitutive models are defined by a Helmholtz free energy density function of the deformation gradient.

\mathbf{P}:\dot{\mathbf{F}} - \dot{a}(\mathbf{F}) \geq 0

Satisfying the second law of thermodynamics (here, equivalent to extremized or zero dissipation) yields a relation for the stress.

\mathbf{P} = \frac{\partial a}{\partial\mathbf{F}}

Consequently, the tangent stiffness associated with the first Piola-Kirchhoff stress is symmetric for these constitutive models.

\mathcal{C}_{iJkL} = \mathcal{C}_{kLiJ}

Structs

ArrudaBoyce

The Arruda-Boyce hyperelastic solid constitutive model.

Fung

The Fung hyperelastic solid constitutive model.

Gent

The Gent hyperelastic solid constitutive model.

Hencky

The Hencky hyperelastic solid constitutive model.

MooneyRivlin

The Mooney-Rivlin hyperelastic solid constitutive model.^,

NeoHookean

The Neo-Hookean hyperelastic solid constitutive model.

SaintVenantKirchhoff

The Saint Venant-Kirchhoff hyperelastic solid constitutive model.

Yeoh

The Yeoh hyperelastic solid constitutive model.

Traits

FirstOrderMinimize

First-order minimization methods for elastic solid constitutive models.

Hyperelastic

Required methods for hyperelastic solid constitutive models.

SecondOrderMinimize

Second-order minimization methods for elastic solid constitutive models.