Module thermohyperelastic 

Thermohyperelastic solid constitutive models.

---

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

\mathbf{P}:\dot{\mathbf{F}} - \dot{a}(\mathbf{F},T) \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

SaintVenantKirchhoff

The Saint Venant-Kirchhoff thermohyperelastic solid constitutive model.

Traits

Thermohyperelastic

Required methods for thermohyperelastic solid constitutive models.