Trait PlasticTangents 

pub trait PlasticTangents
where
    Self: ElasticPlasticOrViscoplastic,
{
    // Required methods
    fn cauchy_tangent_stiffness_p(
        &self,
        deformation_gradient: &DeformationGradient,
        deformation_gradient_p: &DeformationGradientPlastic,
    ) -> Result<CauchyTangentStiffnessPlastic, ConstitutiveError>;
    fn first_piola_kirchhoff_tangent_stiffness_p(
        &self,
        deformation_gradient: &DeformationGradient,
        deformation_gradient_p: &DeformationGradientPlastic,
    ) -> Result<FirstPiolaKirchhoffTangentStiffnessPlastic, ConstitutiveError>;

    // Provided methods
    fn mandel_stress_tangent(
        &self,
        deformation_gradient: &DeformationGradient,
        deformation_gradient_p: &DeformationGradientPlastic,
    ) -> Result<MandelStressTangentElastic, ConstitutiveError> { ... }
    fn mandel_stress_tangent_p(
        &self,
        deformation_gradient: &DeformationGradient,
        deformation_gradient_p: &DeformationGradientPlastic,
    ) -> Result<MandelStressTangentElasticPlastic, ConstitutiveError> { ... }
}

Tangents with respect to the plastic deformation gradient, and of the Mandel stress with respect to both deformation gradients — the pieces a coupled (condensed) return map needs beyond the elastic tangents.

Required Methods

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

Calculates and returns the tangent stiffness of the Cauchy stress with respect to the plastic deformation gradient.

\frac{\partial\sigma_{ij}}{\partial F^\mathrm{p}_{NO}} = -\mathcal{T}^\mathrm{e}_{ijmA} F^\mathrm{e}_{mN} F^{\mathrm{p}-1}_{OA}

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

Calculates and returns the tangent stiffness of the first Piola-Kirchhoff stress with respect to the plastic deformation gradient.

\frac{\partial P_{iJ}}{\partial F^\mathrm{p}_{NO}} = -\mathcal{C}^\mathrm{e}_{iAmB} F^\mathrm{e}_{mN} F^{\mathrm{p}-1}_{OB} F^{\mathrm{p}-1}_{JA} - P_{iO} F^{\mathrm{p}-1}_{JN}

Provided Methods

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

Calculates and returns the tangent stiffness of the Mandel stress with respect to the deformation gradient.

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

Calculates and returns the tangent stiffness of the Mandel stress with respect to the plastic deformation gradient.

Dyn Compatibility

This trait is not dyn compatible.

In older versions of Rust, dyn compatibility was called "object safety".

Implementors