Struct Multiplicative

pub struct Multiplicative<C1, C2> { /* private fields */ }

A hybrid constitutive model based on the multiplicative decomposition.

Trait Implementations

impl<'a, C1: Elastic<'a>, C2: Elastic<'a>> Constitutive<'a> for Multiplicative<C1, C2>

fn new(_parameters: Parameters<'a>) -> Self

Dummy method that will panic, use Self::construct() instead.

fn jacobian( &self, deformation_gradient: &DeformationGradient, ) -> Result<Scalar, ConstitutiveError>

Calculates and returns the Jacobian.

impl<C1: Debug, C2: Debug> Debug for Multiplicative<C1, C2>

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl<'a, C1: Elastic<'a>, C2: Elastic<'a>> Elastic<'a> for Multiplicative<C1, C2>

fn cauchy_stress( &self, deformation_gradient: &DeformationGradient, ) -> Result<CauchyStress, ConstitutiveError>

Calculates and returns the Cauchy stress.

\boldsymbol{\sigma}(\mathbf{F}) = \frac{1}{J_2}\,\boldsymbol{\sigma}_1(\mathbf{F}_1)

fn cauchy_tangent_stiffness( &self, _: &DeformationGradient, ) -> Result<CauchyTangentStiffness, ConstitutiveError>

Dummy method that will panic.

fn first_piola_kirchhoff_stress( &self, deformation_gradient: &DeformationGradient, ) -> Result<FirstPiolaKirchhoffStress, ConstitutiveError>

Calculates and returns the first Piola-Kirchhoff stress.

\mathbf{P}(\mathbf{F}) = \mathbf{P}_1(\mathbf{F}_1)\cdot\mathbf{F}_2^{-T}

fn first_piola_kirchhoff_tangent_stiffness( &self, _: &DeformationGradient, ) -> Result<FirstPiolaKirchhoffTangentStiffness, ConstitutiveError>

Dummy method that will panic.

fn second_piola_kirchhoff_stress( &self, deformation_gradient: &DeformationGradient, ) -> Result<SecondPiolaKirchhoffStress, ConstitutiveError>

Calculates and returns the second Piola-Kirchhoff stress.

\mathbf{S}(\mathbf{F}) = \mathbf{F}_2^{-1}\cdot\mathbf{S}_1(\mathbf{F}_1)\cdot\mathbf{F}_2^{-T}

fn second_piola_kirchhoff_tangent_stiffness( &self, _: &DeformationGradient, ) -> Result<SecondPiolaKirchhoffTangentStiffness, ConstitutiveError>

Dummy method that will panic.

fn solve( &self, applied_load: AppliedLoad, ) -> Result<(DeformationGradient, CauchyStress), ConstitutiveError>

Solve for the unknown components of the Cauchy stress and deformation gradient under an applied load.

impl<'a, C1: Constitutive<'a>, C2: Constitutive<'a>> Hybrid<'a, C1, C2> for Multiplicative<C1, C2>

fn construct(constitutive_model_1: C1, constitutive_model_2: C2) -> Self

Constructs and returns a new hybrid constitutive model.

fn constitutive_model_1(&self) -> &C1

Returns a reference to the first constitutive model.

fn constitutive_model_2(&self) -> &C2

Returns a reference to the second constitutive model.

impl<'a, C1: Hyperelastic<'a>, C2: Hyperelastic<'a>> Hyperelastic<'a> for Multiplicative<C1, C2>

fn helmholtz_free_energy_density( &self, deformation_gradient: &DeformationGradient, ) -> Result<Scalar, ConstitutiveError>

Calculates and returns the Helmholtz free energy density.

a(\mathbf{F}) = a_1(\mathbf{F}_1) + a_2(\mathbf{F}_2)

impl<'a, C1: Elastic<'a>, C2: Elastic<'a>> MultiplicativeTrait for Multiplicative<C1, C2>

fn deformation_gradients( &self, deformation_gradient: &DeformationGradient, ) -> Result<(DeformationGradient, DeformationGradient), ConstitutiveError>

impl<'a, C1: Elastic<'a>, C2: Elastic<'a>> Solid<'a> for Multiplicative<C1, C2>

fn bulk_modulus(&self) -> &Scalar

Dummy method that will panic.

fn shear_modulus(&self) -> &Scalar

Dummy method that will panic.