Module hyperelastic 

Hyperelastic solid constitutive models.

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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}

Modules

internal_variables

Hyperelastic solid constitutive models with internal variables.

Structs

ArrudaBoyce

The Arruda-Boyce hyperelastic solid constitutive model.

BlatzKo

The Blatz-Ko hyperelastic solid constitutive model.

Carroll

The Carroll hyperelastic solid constitutive model.

EightChain

The eight-chain 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.

Isihara

The Isihara hyperelastic solid constitutive model.

MooneyRivlin

The Mooney-Rivlin hyperelastic solid constitutive model.^,

NeoHookean

The Neo-Hookean hyperelastic solid constitutive model.

Ogden

The Ogden 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.