NeoHookeanMaterial< dim, gradient_type > Struct Template Reference

Neo-Hookean material. More...

#include <neohookean.hpp>

Public Member Functions
template<typename T >
MFEM_HOST_DEVICE tensor< T, dim, dim >	stress (const tensor< T, dim, dim > &dudx) const
	Compute the stress response.
MFEM_HOST_DEVICE tensor< mfem::real_t, dim, dim, dim, dim >	gradient (tensor< mfem::real_t, dim, dim > dudx) const
	Compute the gradient.
MFEM_HOST_DEVICE tensor< mfem::real_t, dim, dim >	action_of_gradient (const tensor< mfem::real_t, dim, dim > &dudx, const tensor< mfem::real_t, dim, dim > &ddudx) const
	Apply the gradient of the stress.
MFEM_HOST_DEVICE tensor< mfem::real_t, dim, dim >	action_of_gradient_dual (const tensor< mfem::real_t, dim, dim > &dudx, const tensor< mfem::real_t, dim, dim > &ddudx) const
MFEM_HOST_DEVICE tensor< mfem::real_t, dim, dim >	action_of_gradient_enzyme_fwd (const tensor< mfem::real_t, dim, dim > &dudx, const tensor< mfem::real_t, dim, dim > &ddudx) const
MFEM_HOST_DEVICE tensor< mfem::real_t, dim, dim >	action_of_gradient_enzyme_rev (const tensor< mfem::real_t, dim, dim > &dudx, const tensor< mfem::real_t, dim, dim > &ddudx) const
MFEM_HOST_DEVICE tensor< mfem::real_t, dim, dim >	action_of_gradient_finite_diff (const tensor< mfem::real_t, dim, dim > &dudx, const tensor< mfem::real_t, dim, dim > &ddudx) const
MFEM_HOST_DEVICE tensor< mfem::real_t, dim, dim >	action_of_gradient_symbolic (const tensor< mfem::real_t, dim, dim > &du_dx, const tensor< mfem::real_t, dim, dim > &ddu_dx) const

Static Public Member Functions
static MFEM_HOST_DEVICE void	stress_wrapper (NeoHookeanMaterial< dim, gradient_type > *self, tensor< mfem::real_t, dim, dim > &dudx, tensor< mfem::real_t, dim, dim > &sigma)
	A method to wrap the stress calculation into a static function.

Public Attributes
mfem::real_t	D1 = 100.0
mfem::real_t	C1 = 50.0

Detailed Description

template<int dim = 3, GradientType gradient_type = GradientType::Symbolic>
struct NeoHookeanMaterial< dim, gradient_type >

Neo-Hookean material.

Defines a Neo-Hookean material response. It satisfies the material_type interface for ElasticityOperator::SetMaterial. This material type allows choosing the method of derivative calculation in action_of_gradient. Choices include methods derived by hand using symbolic calculation and a variety of automatically computed gradient applications, like

• Enzyme forward mode
• Enzyme reverse mode
• Dual number type forward mode
• Finite difference mode

Template Parameters

dim
gradient_type

Definition at line 40 of file neohookean.hpp.

Member Function Documentation

action_of_gradient()

template<int dim = 3, GradientType gradient_type = GradientType::Symbolic>

MFEM_HOST_DEVICE tensor< mfem::real_t, dim, dim > NeoHookeanMaterial< dim, gradient_type >::action_of_gradient ( const tensor< mfem::real_t, dim, dim > & dudx, const tensor< mfem::real_t, dim, dim > & ddudx ) const

inline

Apply the gradient of the stress.

Parameters

[in]	dudx
[in]	ddudx

Returns

Definition at line 120 of file neohookean.hpp.

action_of_gradient_dual()

template<int dim = 3, GradientType gradient_type = GradientType::Symbolic>

MFEM_HOST_DEVICE tensor< mfem::real_t, dim, dim > NeoHookeanMaterial< dim, gradient_type >::action_of_gradient_dual ( const tensor< mfem::real_t, dim, dim > & dudx, const tensor< mfem::real_t, dim, dim > & ddudx ) const

inline

Definition at line 151 of file neohookean.hpp.

action_of_gradient_enzyme_fwd()

template<int dim = 3, GradientType gradient_type = GradientType::Symbolic>

MFEM_HOST_DEVICE tensor< mfem::real_t, dim, dim > NeoHookeanMaterial< dim, gradient_type >::action_of_gradient_enzyme_fwd ( const tensor< mfem::real_t, dim, dim > & dudx, const tensor< mfem::real_t, dim, dim > & ddudx ) const

inline

Definition at line 164 of file neohookean.hpp.

action_of_gradient_enzyme_rev()

template<int dim = 3, GradientType gradient_type = GradientType::Symbolic>

MFEM_HOST_DEVICE tensor< mfem::real_t, dim, dim > NeoHookeanMaterial< dim, gradient_type >::action_of_gradient_enzyme_rev ( const tensor< mfem::real_t, dim, dim > & dudx, const tensor< mfem::real_t, dim, dim > & ddudx ) const

inline

Definition at line 176 of file neohookean.hpp.

action_of_gradient_finite_diff()

template<int dim = 3, GradientType gradient_type = GradientType::Symbolic>

MFEM_HOST_DEVICE tensor< mfem::real_t, dim, dim > NeoHookeanMaterial< dim, gradient_type >::action_of_gradient_finite_diff ( const tensor< mfem::real_t, dim, dim > & dudx, const tensor< mfem::real_t, dim, dim > & ddudx ) const

inline

Definition at line 199 of file neohookean.hpp.

action_of_gradient_symbolic()

template<int dim = 3, GradientType gradient_type = GradientType::Symbolic>

MFEM_HOST_DEVICE tensor< mfem::real_t, dim, dim > NeoHookeanMaterial< dim, gradient_type >::action_of_gradient_symbolic ( const tensor< mfem::real_t, dim, dim > & du_dx, const tensor< mfem::real_t, dim, dim > & ddu_dx ) const

inline

Definition at line 210 of file neohookean.hpp.

gradient()

template<int dim = 3, GradientType gradient_type = GradientType::Symbolic>

MFEM_HOST_DEVICE tensor< mfem::real_t, dim, dim, dim, dim > NeoHookeanMaterial< dim, gradient_type >::gradient ( tensor< mfem::real_t, dim, dim > dudx ) const

inline

Compute the gradient.

This method is used in the ElasticityDiagonalPreconditioner type to compute the gradient matrix entries of the current quadrature point, instead of the action.

Parameters

[in]

dudx

Returns

Definition at line 90 of file neohookean.hpp.

stress()

template<int dim = 3, GradientType gradient_type = GradientType::Symbolic>

template<typename T >

MFEM_HOST_DEVICE tensor< T, dim, dim > NeoHookeanMaterial< dim, gradient_type >::stress ( const tensor< T, dim, dim > & dudx ) const

inline

Compute the stress response.

Parameters

[in]

dudx

derivative of the displacement

Returns

Definition at line 52 of file neohookean.hpp.

stress_wrapper()

template<int dim = 3, GradientType gradient_type = GradientType::Symbolic>

static MFEM_HOST_DEVICE void NeoHookeanMaterial< dim, gradient_type >::stress_wrapper ( NeoHookeanMaterial< dim, gradient_type > * self, tensor< mfem::real_t, dim, dim > & dudx, tensor< mfem::real_t, dim, dim > & sigma )

inlinestatic

A method to wrap the stress calculation into a static function.

This is necessary for Enzyme to access the class pointer (self).

Parameters

[in]	self
[in]	dudx
[in]	sigma

Definition at line 72 of file neohookean.hpp.

Member Data Documentation

C1

template<int dim = 3, GradientType gradient_type = GradientType::Symbolic>

mfem::real_t NeoHookeanMaterial< dim, gradient_type >::C1 = 50.0

Definition at line 231 of file neohookean.hpp.

D1

template<int dim = 3, GradientType gradient_type = GradientType::Symbolic>

mfem::real_t NeoHookeanMaterial< dim, gradient_type >::D1 = 100.0

Definition at line 230 of file neohookean.hpp.

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The documentation for this struct was generated from the following file:

• miniapps/hooke/materials/neohookean.hpp