Namespace ae108::elements::materialmodels

Namespace List > ae108 > elements > materialmodels

Compute energy, stress, strain, and tangent matrix of material models. More...

Classes

Type	Name
struct	AutomaticStressTrait <class MaterialModel_> Computes the stress by differentiation of the energy.
struct	AutomaticTangentMatrixTrait <class MaterialModel_> Computes the forces by differentiation of the stresses.
struct	ComputeEnergyTrait <class MaterialModel>
struct	ComputeEnergyTrait< Hookean< Dimension_, ValueType_, RealType_ > > <Dimension_, class ValueType_, class RealType_>
struct	ComputeEnergyTrait< Minimal< Dimension_ > > <Dimension_> Always returns 0.
struct	ComputeStrainTrait <class MaterialModel>
struct	ComputeStrainTrait< Hookean< Dimension_, ValueType_, RealType_ > > <Dimension_, class ValueType_, class RealType_>
struct	ComputeStressTrait <class MaterialModel>
struct	ComputeStressTrait< Hookean< Dimension_, ValueType_, RealType_ > > <Dimension_, class ValueType_, class RealType_>
struct	ComputeStressTrait< Minimal< Dimension_ > > <Dimension_> Computes the stress by differentiating the energy.
struct	ComputeTangentMatrixTrait <class MaterialModel>
struct	ComputeTangentMatrixTrait< Hookean< Dimension_, ValueType_, RealType_ > > <Dimension_, class ValueType_, class RealType_>
struct	ComputeTangentMatrixTrait< Minimal< Dimension_ > > <Dimension_> Computes the tangent matrix by differentiating the stress.
struct	Hookean <Dimension_, class ValueType_, class RealType_> A material model for linear elastic isotropic materials.
struct	MaterialModelBase <class SizeType_, class ValueType_, class RealType_, Dimension_, DegreesOfFreedom_>
struct	Minimal <Dimension_> A minimal example of a material model. Note that only the energy is defined.

Public Functions

Type	Name
MaterialModel_::Stress	automatic_stress (const MaterialModel_ & model, const typename MaterialModel_::size_type id, const typename MaterialModel_::DisplacementGradient & gradient, const typename MaterialModel_::Time time)
MaterialModel_::TangentMatrix	automatic_tangent_matrix (const MaterialModel_ & model, const typename MaterialModel_::size_type id, const typename MaterialModel_::DisplacementGradient & gradient, const typename MaterialModel_::Time time)
MaterialModel_::Energy	compute_energy (const MaterialModel_ & model, const typename MaterialModel_::size_type id, const typename MaterialModel_::DisplacementGradient & gradient, const typename MaterialModel_::Time time) noexcept
MaterialModel_::Strain	compute_strain (const MaterialModel_ & model, const typename MaterialModel_::size_type id, const typename MaterialModel_::DisplacementGradient & gradient, const typename MaterialModel_::Time time) noexcept
MaterialModel_::Stress	compute_stress (const MaterialModel_ & model, const typename MaterialModel_::size_type id, const typename MaterialModel_::DisplacementGradient & gradient, const typename MaterialModel_::Time time)
MaterialModel_::TangentMatrix	compute_tangent_matrix (const MaterialModel_ & model, const typename MaterialModel_::size_type id, const typename MaterialModel_::DisplacementGradient & gradient, const typename MaterialModel_::Time time)

Detailed Description

Contains the traits to compute energy, stress, strain, and tangent matrix of a material model. There are also traits to compute the stress and the tangent matrix numerically.

These traits are implemented for the Hookean material model and the Minimal material model (which shows how to implement a valid material model with minimal effort).

Public Functions Documentation

function automatic_stress

template<class MaterialModel_>
MaterialModel_::Stress ae108::elements::materialmodels::automatic_stress (
    const MaterialModel_ & model,
    const typename MaterialModel_::size_type id,
    const typename MaterialModel_::DisplacementGradient & gradient,
    const typename MaterialModel_::Time time
) 

---

function automatic_tangent_matrix

template<class MaterialModel_>
MaterialModel_::TangentMatrix ae108::elements::materialmodels::automatic_tangent_matrix (
    const MaterialModel_ & model,
    const typename MaterialModel_::size_type id,
    const typename MaterialModel_::DisplacementGradient & gradient,
    const typename MaterialModel_::Time time
) 

---

function compute_energy

template<class MaterialModel_>
MaterialModel_::Energy ae108::elements::materialmodels::compute_energy (
    const MaterialModel_ & model,
    const typename MaterialModel_::size_type id,
    const typename MaterialModel_::DisplacementGradient & gradient,
    const typename MaterialModel_::Time time
) noexcept

---

function compute_strain

template<class MaterialModel_>
MaterialModel_::Strain ae108::elements::materialmodels::compute_strain (
    const MaterialModel_ & model,
    const typename MaterialModel_::size_type id,
    const typename MaterialModel_::DisplacementGradient & gradient,
    const typename MaterialModel_::Time time
) noexcept

---

function compute_stress

template<class MaterialModel_>
MaterialModel_::Stress ae108::elements::materialmodels::compute_stress (
    const MaterialModel_ & model,
    const typename MaterialModel_::size_type id,
    const typename MaterialModel_::DisplacementGradient & gradient,
    const typename MaterialModel_::Time time
) 

---

function compute_tangent_matrix

template<class MaterialModel_>
MaterialModel_::TangentMatrix ae108::elements::materialmodels::compute_tangent_matrix (
    const MaterialModel_ & model,
    const typename MaterialModel_::size_type id,
    const typename MaterialModel_::DisplacementGradient & gradient,
    const typename MaterialModel_::Time time
) 

---

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The documentation for this class was generated from the following file elements/src/include/ae108/elements/materialmodels/automatic_stress.h