pbat::sim::algorithm::pd Namespace Reference

Namespace for Projective Dynamics simulation algorithms. More...

Functions
template<common::CArithmetic TScalar>
TScalar	ValanisLandelQuasiNewtonStiffness (TScalar mu, TScalar lambda, Eigen::Vector< TScalar, 3 > const &sigma, TScalar sigmalo, TScalar sigmahi, physics::EHyperElasticEnergy energy)
	Computes the element constraint stiffness for the quasi-Newton Projective Dynamics hessian approximation [9] .
template<class TDerivedMu, class TDerivedLambda, class TDerivedSigma, class TDerivedSigmaLo, class TDerivedSigmaHi, class TDerivedK>
void	ValanisLandelQuasiNewtonStiffness (Eigen::DenseBase< TDerivedMu > const &mu, Eigen::DenseBase< TDerivedLambda > const &lambda, Eigen::DenseBase< TDerivedSigma > const &sigma, Eigen::DenseBase< TDerivedSigmaLo > const &sigmalo, Eigen::DenseBase< TDerivedSigmaHi > const &sigmahi, physics::EHyperElasticEnergy energy, Eigen::DenseBase< TDerivedK > &k)
	Vectorized version of ValanisLandelQuasiNewtonStiffness.

Detailed Description

Namespace for Projective Dynamics simulation algorithms.

Function Documentation

ValanisLandelQuasiNewtonStiffness() [1/2]

template<class TDerivedMu, class TDerivedLambda, class TDerivedSigma, class TDerivedSigmaLo, class TDerivedSigmaHi, class TDerivedK>

void pbat::sim::algorithm::pd::ValanisLandelQuasiNewtonStiffness	(	Eigen::DenseBase< TDerivedMu > const &	mu,
		Eigen::DenseBase< TDerivedLambda > const &	lambda,
		Eigen::DenseBase< TDerivedSigma > const &	sigma,
		Eigen::DenseBase< TDerivedSigmaLo > const &	sigmalo,
		Eigen::DenseBase< TDerivedSigmaHi > const &	sigmahi,
		physics::EHyperElasticEnergy	energy,
		Eigen::DenseBase< TDerivedK > &	k )

Vectorized version of ValanisLandelQuasiNewtonStiffness.

Template Parameters

TDerivedMu	Matrix type for mu
TDerivedLambda	Matrix type for lambda
TDerivedSigmaLo	Matrix type for sigmalo
TDerivedSigmaHi	Matrix type for sigmahi
TDerivedK	Matrix type for k

Parameters

mu	|# constraints| x 1 matrix of first Lame coefficients
lambda	|# constraints| x 1 matrix of second Lame coefficients
sigma	|# constraints| x 3 matrix of singular values of deformation gradients
sigmalo	|# constraints| x 1 matrix of lowest singular values of deformation gradients
sigmahi	|# constraints| x 1 matrix of highest singular values of deformation gradients
energy	Hyperelastic energy model
k	|# constraints| x 1 matrix of constraint stiffnesses

ValanisLandelQuasiNewtonStiffness() [2/2]

template<common::CArithmetic TScalar>

TScalar pbat::sim::algorithm::pd::ValanisLandelQuasiNewtonStiffness	(	TScalar	mu,
		TScalar	lambda,
		Eigen::Vector< TScalar, 3 > const &	sigma,
		TScalar	sigmalo,
		TScalar	sigmahi,
		physics::EHyperElasticEnergy	energy )

Computes the element constraint stiffness for the quasi-Newton Projective Dynamics hessian approximation [9] .

Template Parameters

TScalar

Scalar type

Parameters

mu	First Lame coefficient
lambda	Second Lame coefficient
sigma	Singular values of deformation gradient
sigmalo	Lowest singular value of deformation gradient
sigmahi	Highest singular value of deformation gradient
energy	Hyperelastic energy model

Returns

Quasi-Newton stiffness for Projective Dynamics element constraints