Struct Canonical 

pub struct Canonical<C1, C2>(/* private fields */);

Trait Implementations

impl<C1: Clone, C2: Clone> Clone for Canonical<C1, C2>

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

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<C1, C2> Debug for Canonical<C1, C2>

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

Formats the value using the given formatter.

impl<C1, C2> ElasticHyperviscous for Canonical<C1, C2>

where C1: Elastic, C2: Hyperviscous,

fn dissipation_potential( &self, deformation_gradient: &DeformationGradient, deformation_gradient_rate: &DeformationGradientRate, ) -> Result<Quantity<Dissipation>, ConstitutiveError>

Calculates and returns the dissipation potential.

fn internal_dissipation( &self, deformation_gradient: &DeformationGradient, deformation_gradient_rate: &DeformationGradientRate, ) -> Result<Quantity<Dissipation>, ConstitutiveError>

Calculates and returns the internal dissipation.

impl<C1, C2> ElasticPlasticOrViscoplastic for Canonical<C1, C2>

where C1: Elastic, C2: Plastic,

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

Calculates and returns the Cauchy stress.

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.

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

Calculates and returns the first Piola-Kirchhoff stress.

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.

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

Calculates and returns the second Piola-Kirchhoff stress.

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.

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

Calculates and returns the Mandel stress.

impl<C1, C2, Y2> ElasticViscoplastic<Y2> for Canonical<C1, C2>

where C1: Elastic, C2: Viscoplastic<Y2>, Y2: Differentiable + Tensor,

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

Calculates and returns the internal dissipation.

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

Calculates and returns the evolution of the state variables.

impl<C1, C2> From<(C1, C2)> for Canonical<C1, C2>

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

Converts to this type from the input type.

impl<C1, C2, Y2> HyperelasticViscoplastic<Y2> for Canonical<C1, C2>

where C1: Hyperelastic, C2: Viscoplastic<Y2>, Y2: 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.

impl<C1, C2> Hyperviscoelastic for Canonical<C1, C2>

where C1: Hyperelastic, C2: Hyperviscous,

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

Calculates and returns the Helmholtz free energy density.

impl<C1, C2> Hyperviscous for Canonical<C1, C2>

where C1: Elastic, C2: Hyperviscous,

fn viscous_dissipation( &self, deformation_gradient: &DeformationGradient, deformation_gradient_rate: &DeformationGradientRate, ) -> Result<Quantity<Dissipation>, ConstitutiveError>

Calculates and returns the viscous dissipation.

impl<C1, C2> Plastic for Canonical<C1, C2>

where C1: Elastic, C2: Plastic,

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> Solid for Canonical<C1, C2>

where C1: Solid, C2: Clone,

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> Viscoelastic for Canonical<C1, C2>

where C1: Elastic, C2: Viscous,

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

Calculates and returns the Cauchy stress.

fn cauchy_rate_tangent_stiffness( &self, deformation_gradient: &DeformationGradient, deformation_gradient_rate: &DeformationGradientRate, ) -> Result<CauchyRateTangentStiffness, ConstitutiveError>

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

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

Calculates and returns the first Piola-Kirchhoff stress.

fn first_piola_kirchhoff_rate_tangent_stiffness( &self, deformation_gradient: &DeformationGradient, deformation_gradient_rate: &DeformationGradientRate, ) -> Result<FirstPiolaKirchhoffRateTangentStiffness, ConstitutiveError>

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

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

Calculates and returns the second Piola-Kirchhoff stress.

fn second_piola_kirchhoff_rate_tangent_stiffness( &self, deformation_gradient: &DeformationGradient, deformation_gradient_rate: &DeformationGradientRate, ) -> Result<SecondPiolaKirchhoffRateTangentStiffness, ConstitutiveError>

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

impl<C1, C2, Y2> Viscoplastic<Y2> for Canonical<C1, C2>

where C1: Elastic, C2: Viscoplastic<Y2>, Y2: Differentiable + Tensor,

fn initial_state(&self) -> ViscoplasticStateVariables<Y2>

Returns the initial state of the variables.

fn plastic_evolution( &self, mandel_stress: MandelStressElastic, state_variables: &ViscoplasticStateVariables<Y2>, ) -> Result<ViscoplasticEvolution<Y2>, 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.

impl<C1, C2> Viscous for Canonical<C1, C2>

where C1: Elastic, C2: Viscous,

fn bulk_viscosity(&self) -> Quantity<Viscosity>

Returns the bulk viscosity.

fn shear_viscosity(&self) -> Quantity<Viscosity>

Returns the shear viscosity.

fn viscous_cauchy_stress( &self, deformation_gradient: &DeformationGradient, deformation_gradient_rate: &DeformationGradientRate, ) -> Result<CauchyStress, ConstitutiveError>

Calculates and returns the viscous Cauchy stress.

fn viscous_cauchy_rate_tangent_stiffness( &self, deformation_gradient: &DeformationGradient, deformation_gradient_rate: &DeformationGradientRate, ) -> Result<CauchyRateTangentStiffness, ConstitutiveError>

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

fn viscous_first_piola_kirchhoff_stress( &self, deformation_gradient: &DeformationGradient, deformation_gradient_rate: &DeformationGradientRate, ) -> Result<FirstPiolaKirchhoffStress, ConstitutiveError>

Calculates and returns the viscous first Piola-Kirchhoff stress.

fn viscous_first_piola_kirchhoff_rate_tangent_stiffness( &self, deformation_gradient: &DeformationGradient, deformation_gradient_rate: &DeformationGradientRate, ) -> Result<FirstPiolaKirchhoffRateTangentStiffness, ConstitutiveError>

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

fn viscous_second_piola_kirchhoff_stress( &self, deformation_gradient: &DeformationGradient, deformation_gradient_rate: &DeformationGradientRate, ) -> Result<SecondPiolaKirchhoffStress, ConstitutiveError>

Calculates and returns the viscous second Piola-Kirchhoff stress.

fn viscous_second_piola_kirchhoff_rate_tangent_stiffness( &self, deformation_gradient: &DeformationGradient, deformation_gradient_rate: &DeformationGradientRate, ) -> Result<SecondPiolaKirchhoffRateTangentStiffness, ConstitutiveError>

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