Struct ElasticViscoplasticAdditiveElastic 

pub struct ElasticViscoplasticAdditiveElastic<C1, C2, Y1>
where
    C1: ElasticViscoplastic<Y1>,
    C2: Elastic,
    Y1: Differentiable + Tensor,
{ /* private fields */ }

A hybrid elastic-viscoplastic constitutive model based on the additive decomposition.

Trait Implementations

impl<C1, C2, Y1> Clone for ElasticViscoplasticAdditiveElastic<C1, C2, Y1>

where C1: ElasticViscoplastic<Y1> + Clone, C2: Elastic + Clone, Y1: Differentiable + Tensor + Clone,

fn clone(&self) -> ElasticViscoplasticAdditiveElastic<C1, C2, Y1>

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl<C1, C2, Y1> Debug for ElasticViscoplasticAdditiveElastic<C1, C2, Y1>

where C1: ElasticViscoplastic<Y1> + Debug, C2: Elastic + Debug, Y1: Differentiable + Tensor + Debug,

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

Formats the value using the given formatter.

impl<C1, C2, Y1> Deref for ElasticViscoplasticAdditiveElastic<C1, C2, Y1>

where C1: ElasticViscoplastic<Y1>, C2: Elastic, Y1: Differentiable + Tensor,

type Target = Additive<C1, C2>

The resulting type after dereferencing.

fn deref(&self) -> &Self::Target

Dereferences the value.

impl<C1, C2, Y1> ElasticPlasticOrViscoplastic for ElasticViscoplasticAdditiveElastic<C1, C2, Y1>

where C1: ElasticViscoplastic<Y1>, C2: Elastic, Y1: Differentiable + Tensor,

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

Calculates and returns the Cauchy stress.

\boldsymbol{\sigma}(\mathbf{F},\mathbf{F}_\mathrm{p}) = \boldsymbol{\sigma}_1(\mathbf{F},\mathbf{F}_\mathrm{p}) + \boldsymbol{\sigma}_2(\mathbf{F})

fn cauchy_tangent_stiffness( &self, deformation_gradient: &DeformationGradient, deformation_gradient_p: &DeformationGradientPlastic, ) -> Result<CauchyTangentStiffness, ConstitutiveError>

Calculates and returns the tangent stiffness associated with the Cauchy stress.

\mathcal{T}(\mathbf{F},\mathbf{F}_\mathrm{p}) = \mathcal{T}_1(\mathbf{F},\mathbf{F}_\mathrm{p}) + \mathcal{T}_2(\mathbf{F})

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

Calculates and returns the first Piola-Kirchhoff stress.

\mathbf{P}(\mathbf{F},\mathbf{F}_\mathrm{p}) = \mathbf{P}_1(\mathbf{F},\mathbf{F}_\mathrm{p}) + \mathbf{P}_2(\mathbf{F})

fn first_piola_kirchhoff_tangent_stiffness( &self, deformation_gradient: &DeformationGradient, deformation_gradient_p: &DeformationGradientPlastic, ) -> Result<FirstPiolaKirchhoffTangentStiffness, ConstitutiveError>

Calculates and returns the tangent stiffness associated with the first Piola-Kirchhoff stress.

\mathcal{C}(\mathbf{F},\mathbf{F}_\mathrm{p}) = \mathcal{C}_1(\mathbf{F},\mathbf{F}_\mathrm{p}) + \mathcal{C}_2(\mathbf{F})

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

Calculates and returns the second Piola-Kirchhoff stress.

\mathbf{S}(\mathbf{F},\mathbf{F}_\mathrm{p}) = \mathbf{S}_1(\mathbf{F},\mathbf{F}_\mathrm{p}) + \mathbf{S}_2(\mathbf{F})

fn second_piola_kirchhoff_tangent_stiffness( &self, deformation_gradient: &DeformationGradient, deformation_gradient_p: &DeformationGradientPlastic, ) -> Result<SecondPiolaKirchhoffTangentStiffness, ConstitutiveError>

Calculates and returns the tangent stiffness associated with the second Piola-Kirchhoff stress.

\mathcal{G}(\mathbf{F},\mathbf{F}_\mathrm{p}) = \mathcal{G}_1(\mathbf{F},\mathbf{F}_\mathrm{p}) + \mathcal{G}_2(\mathbf{F})

fn mandel_stress( &self, deformation_gradient: &DeformationGradient, deformation_gradient_p: &DeformationGradientPlastic, ) -> Result<MandelStressElastic, ConstitutiveError>

Calculates and returns the Mandel stress.

impl<C1, C2, Y1> ElasticViscoplastic<Y1> for ElasticViscoplasticAdditiveElastic<C1, C2, Y1>

where C1: ElasticViscoplastic<Y1>, C2: Elastic, Y1: Differentiable + Tensor,

fn state_variables_evolution( &self, deformation_gradient: &DeformationGradient, state_variables: &ViscoplasticStateVariables<Y1>, ) -> Result<ViscoplasticEvolution<Y1>, ConstitutiveError>

Calculates and returns the evolution of the state variables.

fn internal_dissipation( &self, deformation_gradient: &DeformationGradient, state_variables: &ViscoplasticStateVariables<Y>, ) -> Result<Quantity<Dissipation>, ConstitutiveError>

Calculates and returns the internal dissipation.

impl<C1, C2, Y1> From<(C1, C2)> for ElasticViscoplasticAdditiveElastic<C1, C2, Y1>

where C1: ElasticViscoplastic<Y1>, C2: Elastic, Y1: Differentiable + Tensor,

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

Converts to this type from the input type.

impl<C1, C2, Y1> HyperelasticViscoplastic<Y1> for ElasticViscoplasticAdditiveElastic<C1, C2, Y1>

where C1: HyperelasticViscoplastic<Y1>, C2: Hyperelastic, Y1: Differentiable + Tensor,

fn helmholtz_free_energy_density( &self, deformation_gradient: &DeformationGradient, deformation_gradient_p: &DeformationGradientPlastic, ) -> Result<Quantity<EnergyDensity>, ConstitutiveError>

Calculates and returns the Helmholtz free energy density.

a = a_1(\mathbf{F},\mathbf{F}_\mathrm{p}) + a_2(\mathbf{F})

impl<C1, C2, Y1> Plastic for ElasticViscoplasticAdditiveElastic<C1, C2, Y1>

where C1: ElasticViscoplastic<Y1>, C2: Elastic, Y1: Differentiable + Tensor,

fn initial_yield_stress(&self) -> Quantity<Stress>

Returns the initial yield stress.

fn hardening_slope(&self) -> Quantity<Stress>

Returns the isotropic hardening slope.

fn yield_stress( &self, equivalent_plastic_strain: Quantity, ) -> Result<Quantity<Stress>, ConstitutiveError>

Calculates and returns the yield stress.

impl<C1, C2, Y1> Solid for ElasticViscoplasticAdditiveElastic<C1, C2, Y1>

where C1: ElasticViscoplastic<Y1>, C2: Elastic, Y1: Differentiable + Tensor,

fn bulk_modulus(&self) -> Quantity<Stress>

Returns the bulk modulus.

fn shear_modulus(&self) -> Quantity<Stress>

Returns the shear modulus.

fn jacobian<I, J>( &self, deformation_gradient: &DeformationGradientGeneral<I, J>, ) -> Result<Scalar, ConstitutiveError>

Calculates and returns the Jacobian.

impl<C1, C2, Y1> Viscoplastic<Y1> for ElasticViscoplasticAdditiveElastic<C1, C2, Y1>

where C1: ElasticViscoplastic<Y1>, C2: Elastic, Y1: Differentiable + Tensor,

fn initial_state(&self) -> ViscoplasticStateVariables<Y1>

Returns the initial state of the variables.

fn plastic_evolution( &self, mandel_stress: MandelStressElastic, state_variables: &ViscoplasticStateVariables<Y1>, ) -> Result<ViscoplasticEvolution<Y1>, ConstitutiveError>

Calculates and returns the plastic evolution.

fn plastic_stretching_rate( &self, deviatoric_mandel_stress: MandelStressElastic, yield_stress: Quantity<Stress>, ) -> Result<StretchingRatePlastic, ConstitutiveError>

Calculates and returns the rate of plastic stretching.

fn dissipation_potential( &self, plastic_stretching_rate: StretchingRatePlastic, yield_stress: Quantity<Stress>, ) -> Result<Quantity<Dissipation>, ConstitutiveError>

Calculates and returns the dissipation potential.

fn dual_dissipation_potential( &self, deviatoric_mandel_stress: MandelStressElastic, yield_stress: Quantity<Stress>, ) -> Result<Quantity<Dissipation>, ConstitutiveError>

Calculates and returns the dual dissipation potential.

fn rate_sensitivity(&self) -> Scalar

Returns the rate_sensitivity parameter.

fn reference_flow_rate(&self) -> Quantity<Rate>

Returns the reference flow rate.

fn plastic_stretching_rate_tangent( &self, deviatoric_mandel_stress: &MandelStressElastic, yield_stress: Quantity<Stress>, ) -> Result<StretchingRatePlasticTangent, ConstitutiveError>

Calculates and returns the tangent of the plastic stretching rate with respect to the deviatoric Mandel stress.

fn plastic_stretching_rate_tangent_yield( &self, deviatoric_mandel_stress: MandelStressElastic, yield_stress: Quantity<Stress>, ) -> Result<StretchingRatePlasticTangentYield, ConstitutiveError>

Calculates and returns the tangent of the plastic stretching rate with respect to the yield stress.