polyfem::assembler::FixedCorotational Class Reference

#include <FixedCorotational.hpp>

Inheritance diagram for polyfem::assembler::FixedCorotational:

Collaboration diagram for polyfem::assembler::FixedCorotational:

Public Member Functions
	FixedCorotational ()
double	compute_energy (const NonLinearAssemblerData &data) const override
Eigen::VectorXd	assemble_gradient (const NonLinearAssemblerData &data) const override
Eigen::MatrixXd	assemble_hessian (const NonLinearAssemblerData &data) const override
void	compute_stress_grad_multiply_mat (const OptAssemblerData &data, const Eigen::MatrixXd &mat, Eigen::MatrixXd &stress, Eigen::MatrixXd &result) const override
void	compute_stress_grad_multiply_stress (const OptAssemblerData &data, Eigen::MatrixXd &stress, Eigen::MatrixXd &result) const override
void	compute_dstress_dmu_dlambda (const OptAssemblerData &data, Eigen::MatrixXd &dstress_dmu, Eigen::MatrixXd &dstress_dlambda) const override
void	add_multimaterial (const int index, const json &params, const Units &units) override
void	set_params (const LameParameters &params)
const LameParameters &	lame_params () const
void	update_lame_params (const Eigen::MatrixXd &lambdas, const Eigen::MatrixXd &mus) override
std::string	name () const override
bool	allow_inversion () const override
std::map< std::string, ParamFunc >	parameters () const override
void	assign_stress_tensor (const OutputData &data, const int all_size, const ElasticityTensorType &type, Eigen::MatrixXd &all, const std::function< Eigen::MatrixXd(const Eigen::MatrixXd &)> &fun) const override
template<int n_basis, int dim>
void	compute_energy_aux_gradient_fast (const NonLinearAssemblerData &data, Eigen::Matrix< double, Eigen::Dynamic, 1 > &G_flattened) const
double	assemble_energy (const bool is_volume, const std::vector< basis::ElementBases > &bases, const std::vector< basis::ElementBases > &gbases, const AssemblyValsCache &cache, const double t, const double dt, const Eigen::MatrixXd &displacement, const Eigen::MatrixXd &displacement_prev) const override
void	assemble_gradient (const bool is_volume, const int n_basis, const std::vector< basis::ElementBases > &bases, const std::vector< basis::ElementBases > &gbases, const AssemblyValsCache &cache, const double t, const double dt, const Eigen::MatrixXd &displacement, const Eigen::MatrixXd &displacement_prev, Eigen::MatrixXd &rhs) const override
virtual Eigen::VectorXd	assemble_gradient (const NonLinearAssemblerData &data) const=0
void	assemble_hessian (const bool is_volume, const int n_basis, const bool project_to_psd, const std::vector< basis::ElementBases > &bases, const std::vector< basis::ElementBases > &gbases, const AssemblyValsCache &cache, const double t, const double dt, const Eigen::MatrixXd &displacement, const Eigen::MatrixXd &displacement_prev, utils::MatrixCache &mat_cache, StiffnessMatrix &grad) const override
virtual Eigen::MatrixXd	assemble_hessian (const NonLinearAssemblerData &data) const=0
Public Member Functions inherited from polyfem::assembler::NLAssembler
virtual	~NLAssembler ()=default
double	assemble_energy (const bool is_volume, const std::vector< basis::ElementBases > &bases, const std::vector< basis::ElementBases > &gbases, const AssemblyValsCache &cache, const double t, const double dt, const Eigen::MatrixXd &displacement, const Eigen::MatrixXd &displacement_prev) const override
Eigen::VectorXd	assemble_energy_per_element (const bool is_volume, const std::vector< basis::ElementBases > &bases, const std::vector< basis::ElementBases > &gbases, const AssemblyValsCache &cache, const double t, const double dt, const Eigen::MatrixXd &displacement, const Eigen::MatrixXd &displacement_prev) const override
void	assemble_gradient (const bool is_volume, const int n_basis, const std::vector< basis::ElementBases > &bases, const std::vector< basis::ElementBases > &gbases, const AssemblyValsCache &cache, const double t, const double dt, const Eigen::MatrixXd &displacement, const Eigen::MatrixXd &displacement_prev, Eigen::MatrixXd &rhs) const override
void	assemble_hessian (const bool is_volume, const int n_basis, const bool project_to_psd, const std::vector< basis::ElementBases > &bases, const std::vector< basis::ElementBases > &gbases, const AssemblyValsCache &cache, const double t, const double dt, const Eigen::MatrixXd &displacement, const Eigen::MatrixXd &displacement_prev, utils::MatrixCache &mat_cache, StiffnessMatrix &grad) const override
virtual bool	is_linear () const override
Public Member Functions inherited from polyfem::assembler::Assembler
virtual	~Assembler ()=default
int	size () const
virtual void	set_size (const int size)
virtual void	assemble (const bool is_volume, const int n_basis, const std::vector< basis::ElementBases > &bases, const std::vector< basis::ElementBases > &gbases, const AssemblyValsCache &cache, const double t, StiffnessMatrix &stiffness, const bool is_mass=false) const
virtual void	compute_stiffness_value (const double t, const assembler::ElementAssemblyValues &vals, const Eigen::MatrixXd &local_pts, const Eigen::MatrixXd &displacement, Eigen::MatrixXd &tensor) const
virtual void	compute_stress_grad_multiply_vect (const OptAssemblerData &data, const Eigen::MatrixXd &vect, Eigen::MatrixXd &stress, Eigen::MatrixXd &result) const
virtual void	compute_stress_grad (const OptAssemblerData &data, const Eigen::MatrixXd &prev_grad_u_i, Eigen::MatrixXd &stress, Eigen::MatrixXd &result) const
virtual void	compute_stress_prev_grad (const OptAssemblerData &data, const Eigen::MatrixXd &prev_grad_u_i, Eigen::MatrixXd &result) const
virtual VectorNd	compute_rhs (const AutodiffHessianPt &pt) const
virtual Eigen::Matrix< AutodiffScalarGrad, Eigen::Dynamic, 1, 0, 3, 1 >	kernel (const int dim, const AutodiffGradPt &rvect, const AutodiffScalarGrad &r) const
void	set_materials (const std::vector< int > &body_ids, const json &body_params, const Units &units)
virtual bool	is_fluid () const
Public Member Functions inherited from polyfem::assembler::ElasticityAssembler
	ElasticityAssembler ()
virtual	~ElasticityAssembler ()=default
void	set_use_robust_jacobian ()
void	compute_scalar_value (const OutputData &data, std::vector< NamedMatrix > &result) const override
void	compute_tensor_value (const OutputData &data, std::vector< NamedMatrix > &result) const override
void	compute_stress_tensor (const OutputData &data, const ElasticityTensorType &type, Eigen::MatrixXd &stresses) const
void	compute_von_mises_stresses (const OutputData &data, Eigen::MatrixXd &stresses) const
bool	is_solution_displacement () const override
bool	is_tensor () const override

Private Member Functions
template<int dim>
double	compute_energy_aux (const NonLinearAssemblerData &data) const
template<int n_basis, int dim>
void	compute_energy_hessian_aux_fast (const NonLinearAssemblerData &data, Eigen::MatrixXd &H) const
template<int n_basis, int dim>
void	compute_energy_aux_gradient_fast (const NonLinearAssemblerData &data, Eigen::VectorXd &G_flattened) const

Static Private Member Functions
template<int dim>
static double	compute_energy_from_singular_values (const Eigen::Vector< double, dim > &sigmas, const double lambda, const double mu)
template<int dim>
static Eigen::Vector< double, dim >	compute_stress_from_singular_values (const Eigen::Vector< double, dim > &sigmas, const double lambda, const double mu)
template<int dim>
static Eigen::Matrix< double, dim, dim >	compute_stiffness_from_singular_values (const Eigen::Vector< double, dim > &sigmas, const double lambda, const double mu)
template<int dim>
static double	compute_energy_from_def_grad (const Eigen::Matrix< double, dim, dim > &F, const double lambda, const double mu)
template<int dim>
static Eigen::Matrix< double, dim, dim >	compute_stress_from_def_grad (const Eigen::Matrix< double, dim, dim > &F, const double lambda, const double mu)
template<int dim>
static Eigen::Matrix< double, dim *dim, dim *dim >	compute_stiffness_from_def_grad (const Eigen::Matrix< double, dim, dim > &F, const double lambda, const double mu)

Private Attributes
LameParameters	params_

Additional Inherited Members
Public Types inherited from polyfem::assembler::Assembler
typedef std::pair< std::string, Eigen::MatrixXd >	NamedMatrix
typedef std::function< double(const RowVectorNd &, const RowVectorNd &, double, int)>	ParamFunc
Protected Attributes inherited from polyfem::assembler::Assembler
int	size_ = -1
Protected Attributes inherited from polyfem::assembler::ElasticityAssembler
bool	use_robust_jacobian = false

Detailed Description

Definition at line 11 of file FixedCorotational.hpp.

Constructor & Destructor Documentation

FixedCorotational()

polyfem::assembler::FixedCorotational::FixedCorotational

(

)

Definition at line 75 of file FixedCorotational.cpp.

Member Function Documentation

add_multimaterial()

void polyfem::assembler::FixedCorotational::add_multimaterial ( const int  index, const json &  params, const Units &  units  )

overridevirtual

Reimplemented from polyfem::assembler::Assembler.

Definition at line 79 of file FixedCorotational.cpp.

References polyfem::assembler::LameParameters::add_multimaterial(), params_, polyfem::assembler::Assembler::size(), and polyfem::Units::stress().

Referenced by polyfem::assembler::MultiModel::add_multimaterial().

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allow_inversion()

bool polyfem::assembler::FixedCorotational::allow_inversion ( ) const

inlineoverridevirtual

Implements polyfem::assembler::ElasticityAssembler.

Definition at line 51 of file FixedCorotational.hpp.

assemble_energy()

double polyfem::assembler::NLAssembler::assemble_energy ( const bool  is_volume, const std::vector< basis::ElementBases > &  bases, const std::vector< basis::ElementBases > &  gbases, const AssemblyValsCache &  cache, const double  t, const double  dt, const Eigen::MatrixXd &  displacement, const Eigen::MatrixXd &  displacement_prev  ) const

overridevirtual

Reimplemented from polyfem::assembler::Assembler.

Definition at line 244 of file Assembler.cpp.

assemble_gradient() [1/3]

void polyfem::assembler::NLAssembler::assemble_gradient ( const bool  is_volume, const int  n_basis, const std::vector< basis::ElementBases > &  bases, const std::vector< basis::ElementBases > &  gbases, const AssemblyValsCache &  cache, const double  t, const double  dt, const Eigen::MatrixXd &  displacement, const Eigen::MatrixXd &  displacement_prev, Eigen::MatrixXd &  rhs  ) const

overridevirtual

Reimplemented from polyfem::assembler::Assembler.

assemble_gradient() [2/3]

Eigen::VectorXd polyfem::assembler::FixedCorotational::assemble_gradient ( const NonLinearAssemblerData &  data ) const

overridevirtual

Implements polyfem::assembler::NLAssembler.

Definition at line 87 of file FixedCorotational.cpp.

References polyfem::assembler::ElementAssemblyValues::basis_values, polyfem::assembler::Assembler::size(), and polyfem::assembler::NonLinearAssemblerData::vals.

Referenced by polyfem::assembler::MultiModel::assemble_gradient().

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assemble_gradient() [3/3]

virtual Eigen::VectorXd polyfem::assembler::NLAssembler::assemble_gradient ( const NonLinearAssemblerData &  data ) const

virtual

Implements polyfem::assembler::NLAssembler.

assemble_hessian() [1/3]

void polyfem::assembler::NLAssembler::assemble_hessian ( const bool  is_volume, const int  n_basis, const bool  project_to_psd, const std::vector< basis::ElementBases > &  bases, const std::vector< basis::ElementBases > &  gbases, const AssemblyValsCache &  cache, const double  t, const double  dt, const Eigen::MatrixXd &  displacement, const Eigen::MatrixXd &  displacement_prev, utils::MatrixCache &  mat_cache, StiffnessMatrix &  grad  ) const

overridevirtual

Reimplemented from polyfem::assembler::Assembler.

assemble_hessian() [2/3]

Eigen::MatrixXd polyfem::assembler::FixedCorotational::assemble_hessian ( const NonLinearAssemblerData &  data ) const

overridevirtual

Implements polyfem::assembler::NLAssembler.

Definition at line 157 of file FixedCorotational.cpp.

References polyfem::assembler::ElementAssemblyValues::basis_values, polyfem::assembler::Assembler::size(), and polyfem::assembler::NonLinearAssemblerData::vals.

Referenced by polyfem::assembler::MultiModel::assemble_hessian().

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assemble_hessian() [3/3]

virtual Eigen::MatrixXd polyfem::assembler::NLAssembler::assemble_hessian ( const NonLinearAssemblerData &  data ) const

virtual

Implements polyfem::assembler::NLAssembler.

assign_stress_tensor()

void polyfem::assembler::FixedCorotational::assign_stress_tensor ( const OutputData &  data, const int  all_size, const ElasticityTensorType &  type, Eigen::MatrixXd &  all, const std::function< Eigen::MatrixXd(const Eigen::MatrixXd &)> &  fun  ) const

overridevirtual

Implements polyfem::assembler::ElasticityAssembler.

Definition at line 234 of file FixedCorotational.cpp.

References polyfem::assembler::OutputData::bs, polyfem::assembler::ElementAssemblyValues::compute(), polyfem::compute_diplacement_grad(), polyfem::assembler::OutputData::el_id, polyfem::F, polyfem::assembler::OutputData::fun, polyfem::assembler::OutputData::gbs, polyfem::assembler::LameParameters::lambda_mu(), polyfem::assembler::OutputData::local_pts, params_, polyfem::PK1, polyfem::pk1_from_cauchy(), polyfem::PK2, polyfem::pk2_from_cauchy(), polyfem::assembler::Assembler::size(), polyfem::assembler::OutputData::t, and vals.

Referenced by polyfem::assembler::MultiModel::assign_stress_tensor().

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compute_dstress_dmu_dlambda()

void polyfem::assembler::FixedCorotational::compute_dstress_dmu_dlambda ( const OptAssemblerData &  data, Eigen::MatrixXd &  dstress_dmu, Eigen::MatrixXd &  dstress_dlambda  ) const

overridevirtual

Reimplemented from polyfem::assembler::Assembler.

Definition at line 499 of file FixedCorotational.cpp.

References polyfem::assembler::OptAssemblerData::el_id, polyfem::assembler::OptAssemblerData::global_pts, polyfem::assembler::OptAssemblerData::grad_u_i, polyfem::assembler::OptAssemblerData::local_pts, polyfem::utils::AutoFlipSVD< MatrixType >::matrixU(), polyfem::utils::AutoFlipSVD< MatrixType >::matrixV(), polyfem::utils::AutoFlipSVD< MatrixType >::singularValues(), polyfem::assembler::Assembler::size(), and polyfem::assembler::OptAssemblerData::t.

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compute_energy()

double polyfem::assembler::FixedCorotational::compute_energy ( const NonLinearAssemblerData &  data ) const

overridevirtual

Implements polyfem::assembler::NLAssembler.

Definition at line 285 of file FixedCorotational.cpp.

References polyfem::assembler::Assembler::size().

Referenced by polyfem::assembler::MultiModel::compute_energy().

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compute_energy_aux()

template<int dim>

double polyfem::assembler::FixedCorotational::compute_energy_aux ( const NonLinearAssemblerData &  data ) const

private

Definition at line 294 of file FixedCorotational.cpp.

References polyfem::compute_disp_grad_at_quad(), compute_energy_from_def_grad(), polyfem::assembler::NonLinearAssemblerData::da, polyfem::assembler::ElementAssemblyValues::element_id, polyfem::get_local_disp(), polyfem::assembler::LameParameters::lambda_mu(), params_, polyfem::quadrature::Quadrature::points, polyfem::assembler::ElementAssemblyValues::quadrature, polyfem::assembler::NonLinearAssemblerData::t, val, polyfem::assembler::ElementAssemblyValues::val, and polyfem::assembler::NonLinearAssemblerData::vals.

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compute_energy_aux_gradient_fast() [1/2]

template<int n_basis, int dim>

void polyfem::assembler::FixedCorotational::compute_energy_aux_gradient_fast	(	const NonLinearAssemblerData &	data,
		Eigen::Matrix< double, Eigen::Dynamic, 1 > &	G_flattened
	)		const

Definition at line 322 of file FixedCorotational.cpp.

References polyfem::assembler::ElementAssemblyValues::basis_values, compute_stress_from_def_grad(), polyfem::assembler::NonLinearAssemblerData::da, polyfem::assembler::ElementAssemblyValues::element_id, polyfem::assembler::ElementAssemblyValues::jac_it, polyfem::assembler::LameParameters::lambda_mu(), params_, polyfem::quadrature::Quadrature::points, polyfem::assembler::ElementAssemblyValues::quadrature, polyfem::assembler::Assembler::size(), polyfem::assembler::NonLinearAssemblerData::t, polyfem::assembler::ElementAssemblyValues::val, polyfem::assembler::NonLinearAssemblerData::vals, and polyfem::assembler::NonLinearAssemblerData::x.

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compute_energy_aux_gradient_fast() [2/2]

template<int n_basis, int dim>

void polyfem::assembler::FixedCorotational::compute_energy_aux_gradient_fast ( const NonLinearAssemblerData &  data, Eigen::VectorXd &  G_flattened  ) const

private

compute_energy_from_def_grad()

template<int dim>

double polyfem::assembler::FixedCorotational::compute_energy_from_def_grad ( const Eigen::Matrix< double, dim, dim > &  F, const double  lambda, const double  mu  )

staticprivate

Definition at line 670 of file FixedCorotational.cpp.

References compute_energy_from_singular_values(), and polyfem::F.

Referenced by compute_energy_aux().

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compute_energy_from_singular_values()

template<int dim>

double polyfem::assembler::FixedCorotational::compute_energy_from_singular_values ( const Eigen::Vector< double, dim > &  sigmas, const double  lambda, const double  mu  )

staticprivate

Definition at line 599 of file FixedCorotational.cpp.

Referenced by compute_energy_from_def_grad().

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compute_energy_hessian_aux_fast()

template<int n_basis, int dim>

void polyfem::assembler::FixedCorotational::compute_energy_hessian_aux_fast ( const NonLinearAssemblerData &  data, Eigen::MatrixXd &  H  ) const

private

Definition at line 381 of file FixedCorotational.cpp.

References polyfem::assembler::ElementAssemblyValues::basis_values, compute_stiffness_from_def_grad(), polyfem::assembler::NonLinearAssemblerData::da, polyfem::assembler::ElementAssemblyValues::element_id, polyfem::assembler::ElementAssemblyValues::jac_it, polyfem::assembler::LameParameters::lambda_mu(), params_, polyfem::quadrature::Quadrature::points, polyfem::assembler::ElementAssemblyValues::quadrature, polyfem::assembler::Assembler::size(), polyfem::assembler::NonLinearAssemblerData::t, polyfem::assembler::ElementAssemblyValues::val, polyfem::assembler::NonLinearAssemblerData::vals, and polyfem::assembler::NonLinearAssemblerData::x.

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compute_stiffness_from_def_grad()

template<int dim>

Eigen::Matrix< double, dim *dim, dim *dim > polyfem::assembler::FixedCorotational::compute_stiffness_from_def_grad ( const Eigen::Matrix< double, dim, dim > &  F, const double  lambda, const double  mu  )

staticprivate

Definition at line 707 of file FixedCorotational.cpp.

References compute_stiffness_from_singular_values(), compute_stress_from_singular_values(), polyfem::F, polyfem::utils::AutoFlipSVD< MatrixType >::matrixU(), polyfem::utils::AutoFlipSVD< MatrixType >::matrixV(), polyfem::utils::AutoFlipSVD< MatrixType >::singularValues(), and V.

Referenced by compute_energy_hessian_aux_fast().

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compute_stiffness_from_singular_values()

template<int dim>

Eigen::Matrix< double, dim, dim > polyfem::assembler::FixedCorotational::compute_stiffness_from_singular_values ( const Eigen::Vector< double, dim > &  sigmas, const double  lambda, const double  mu  )

staticprivate

Definition at line 634 of file FixedCorotational.cpp.

Referenced by compute_stiffness_from_def_grad().

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compute_stress_from_def_grad()

template<int dim>

Eigen::Matrix< double, dim, dim > polyfem::assembler::FixedCorotational::compute_stress_from_def_grad ( const Eigen::Matrix< double, dim, dim > &  F, const double  lambda, const double  mu  )

staticprivate

Definition at line 677 of file FixedCorotational.cpp.

References polyfem::F, polyfem::utils::AutoFlipSVD< MatrixType >::matrixU(), polyfem::utils::AutoFlipSVD< MatrixType >::matrixV(), and polyfem::utils::AutoFlipSVD< MatrixType >::singularValues().

Referenced by compute_energy_aux_gradient_fast().

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compute_stress_from_singular_values()

template<int dim>

Eigen::Vector< double, dim > polyfem::assembler::FixedCorotational::compute_stress_from_singular_values ( const Eigen::Vector< double, dim > &  sigmas, const double  lambda, const double  mu  )

staticprivate

Definition at line 608 of file FixedCorotational.cpp.

Referenced by compute_stiffness_from_def_grad().

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compute_stress_grad_multiply_mat()

void polyfem::assembler::FixedCorotational::compute_stress_grad_multiply_mat ( const OptAssemblerData &  data, const Eigen::MatrixXd &  mat, Eigen::MatrixXd &  stress, Eigen::MatrixXd &  result  ) const

overridevirtual

Reimplemented from polyfem::assembler::Assembler.

Definition at line 444 of file FixedCorotational.cpp.

References polyfem::assembler::OptAssemblerData::el_id, polyfem::assembler::OptAssemblerData::global_pts, polyfem::assembler::OptAssemblerData::grad_u_i, polyfem::assembler::LameParameters::lambda_mu(), polyfem::assembler::OptAssemblerData::local_pts, params_, polyfem::assembler::Assembler::size(), and polyfem::assembler::OptAssemblerData::t.

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compute_stress_grad_multiply_stress()

void polyfem::assembler::FixedCorotational::compute_stress_grad_multiply_stress ( const OptAssemblerData &  data, Eigen::MatrixXd &  stress, Eigen::MatrixXd &  result  ) const

overridevirtual

Reimplemented from polyfem::assembler::Assembler.

Definition at line 472 of file FixedCorotational.cpp.

References polyfem::assembler::OptAssemblerData::el_id, polyfem::assembler::OptAssemblerData::global_pts, polyfem::assembler::OptAssemblerData::grad_u_i, polyfem::assembler::LameParameters::lambda_mu(), polyfem::assembler::OptAssemblerData::local_pts, params_, polyfem::assembler::Assembler::size(), and polyfem::assembler::OptAssemblerData::t.

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lame_params()

const LameParameters & polyfem::assembler::FixedCorotational::lame_params ( ) const

inline

Definition at line 42 of file FixedCorotational.hpp.

References params_.

name()

std::string polyfem::assembler::FixedCorotational::name ( ) const

inlineoverridevirtual

Implements polyfem::assembler::Assembler.

Definition at line 50 of file FixedCorotational.hpp.

parameters()

std::map< std::string, Assembler::ParamFunc > polyfem::assembler::FixedCorotational::parameters ( ) const

overridevirtual

Implements polyfem::assembler::Assembler.

Definition at line 554 of file FixedCorotational.cpp.

References params_, and polyfem::assembler::Assembler::size().

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set_params()

void polyfem::assembler::FixedCorotational::set_params ( const LameParameters &  params )

inline

Definition at line 41 of file FixedCorotational.hpp.

References params_.

update_lame_params()

void polyfem::assembler::FixedCorotational::update_lame_params ( const Eigen::MatrixXd &  lambdas, const Eigen::MatrixXd &  mus  )

inlineoverridevirtual

Reimplemented from polyfem::assembler::Assembler.

Definition at line 44 of file FixedCorotational.hpp.

References polyfem::assembler::LameParameters::lambda_mat_, polyfem::assembler::LameParameters::mu_mat_, and params_.

Member Data Documentation

params_

LameParameters polyfem::assembler::FixedCorotational::params_

private

Definition at line 61 of file FixedCorotational.hpp.

Referenced by add_multimaterial(), assign_stress_tensor(), compute_energy_aux(), compute_energy_aux_gradient_fast(), compute_energy_hessian_aux_fast(), compute_stress_grad_multiply_mat(), compute_stress_grad_multiply_stress(), lame_params(), parameters(), set_params(), and update_lame_params().

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The documentation for this class was generated from the following files:

• src/polyfem/assembler/FixedCorotational.hpp
• src/polyfem/assembler/FixedCorotational.cpp