Trait Viscoelastic

pub trait Viscoelastic<'a>
where
    Self: Solid<'a> + Viscous<'a>,
{
    // Provided methods
    fn cauchy_stress(
        &self,
        deformation_gradient: &DeformationGradient,
        deformation_gradient_rate: &DeformationGradientRate,
    ) -> Result<CauchyStress, ConstitutiveError> { ... }
    fn cauchy_rate_tangent_stiffness(
        &self,
        deformation_gradient: &DeformationGradient,
        deformation_gradient_rate: &DeformationGradientRate,
    ) -> Result<CauchyRateTangentStiffness, ConstitutiveError> { ... }
    fn first_piola_kirchhoff_stress(
        &self,
        deformation_gradient: &DeformationGradient,
        deformation_gradient_rate: &DeformationGradientRate,
    ) -> Result<FirstPiolaKirchhoffStress, ConstitutiveError> { ... }
    fn first_piola_kirchhoff_rate_tangent_stiffness(
        &self,
        deformation_gradient: &DeformationGradient,
        deformation_gradient_rate: &DeformationGradientRate,
    ) -> Result<FirstPiolaKirchhoffRateTangentStiffness, ConstitutiveError> { ... }
    fn second_piola_kirchhoff_stress(
        &self,
        deformation_gradient: &DeformationGradient,
        deformation_gradient_rate: &DeformationGradientRate,
    ) -> Result<SecondPiolaKirchhoffStress, ConstitutiveError> { ... }
    fn second_piola_kirchhoff_rate_tangent_stiffness(
        &self,
        deformation_gradient: &DeformationGradient,
        deformation_gradient_rate: &DeformationGradientRate,
    ) -> Result<SecondPiolaKirchhoffRateTangentStiffness, ConstitutiveError> { ... }
}

Required methods for viscoelastic constitutive models.

Provided Methods

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

Calculates and returns the Cauchy stress.

\boldsymbol{\sigma} = J^{-1}\mathbf{P}\cdot\mathbf{F}^T

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.

\mathcal{V}_{ijkL} = \frac{\partial\sigma_{ij}}{\partial\dot{F}_{kL}} = J^{-1} \mathcal{W}_{MNkL} F_{iM} F_{jN}

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

Calculates and returns the first Piola-Kirchhoff stress.

\mathbf{P} = J\boldsymbol{\sigma}\cdot\mathbf{F}^{-T}

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.

\mathcal{U}_{iJkL} = \frac{\partial P_{iJ}}{\partial\dot{F}_{kL}} = J \mathcal{V}_{iskL} F_{sJ}^{-T}

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

Calculates and returns the second Piola-Kirchhoff stress.

\mathbf{S} = \mathbf{F}^{-1}\cdot\mathbf{P}

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.

\mathcal{W}_{IJkL} = \frac{\partial S_{IJ}}{\partial\dot{F}_{kL}} = \mathcal{U}_{mJkL}F_{mI}^{-T} = J \mathcal{V}_{mnkL} F_{mI}^{-T} F_{nJ}^{-T}

Dyn Compatibility

This trait is not dyn compatible.

In older versions of Rust, dyn compatibility was called "object safety", so this trait is not object safe.

Implementors

impl<'a> Viscoelastic<'a> for AlmansiHamel<'a>

impl<'a> Viscoelastic<'a> for SaintVenantKirchhoff<'a>