cratepy.material.models.stvenant_kirchhoff

St.Venant-Kirchhoff hyperelastic constitutive model.

This module includes the implementation of the St.Venant-Kirchhoff hyperelastic constitutive model under general anisotropic elasticity. The constitutive formulation can be found in de Vieira de Carvalho et al. (2022) [1].

[1]

Vieira de Carvalho, M., de Bortoli, D., and Andrade Pires, F.M. (2022). Consistent modeling of the coupling between crystallographic slip and martensitic phase transformation for mechanically induced loadings. Int J Numer Methods Eng. 123(14): 3179–3236 (see here)

Classes

StVenantKirchhoff

St.Venant-Kirchhoff hyperelastic constitutive model.

Functions

cauchy_from_second_piola(def_gradient, ...)	Cauchy stress tensor from second Piola-Kirchhoff stress tensor.
first_piola_from_second_piola(def_gradient, ...)	First Piola-Kirchhoff from second Piola-Kirchhoff stress tensor.
material_from_spatial_tangent_modulus(...)	Material consistent tangent modulus from spatial counterpart.

Classes

ConstitutiveModel(strain_formulation, ...)	Constitutive model interface.
Elastic(strain_formulation, problem_type, ...)	Linear elastic constitutive model.
StVenantKirchhoff(strain_formulation, ...)	St.Venant-Kirchhoff hyperelastic constitutive model.