HyperElasticity.h File Reference

#include "PhysicsBasedAnimationToolkitExport.h"
#include "pbat/Aliases.h"
#include "pbat/math/linalg/mini/Matrix.h"
#include <concepts>
#include <exception>
#include <fmt/core.h>
#include <string>

Go to the source code of this file.

Namespaces
namespace	pbat
	The main namespace of the library.

Concepts
concept	pbat::physics::CHyperElasticEnergy
	Concept for hyperelastic energy.

Functions
std::pair< Scalar, Scalar >	pbat::physics::LameCoefficients (Scalar Y, Scalar nu)
	Compute the Lame coefficients from Young's modulus and Poisson's ratio.
template<class TDerivedY, class TDerivednu>
std::pair< VectorX, VectorX >	pbat::physics::LameCoefficients (Eigen::DenseBase< TDerivedY > const &Y, Eigen::DenseBase< TDerivednu > const &nu)
	Compute the Lame coefficients from Young's modulus and Poisson's ratio.

Detailed Description

Author

Quoc-Minh Ton-That (tonth.nosp@m.at.q.nosp@m.uocmi.nosp@m.nh@g.nosp@m.mail..nosp@m.com)

Date

2025-02-10

Copyright

Copyright (c) 2025

Function Documentation

LameCoefficients() [1/2]

template<class TDerivedY, class TDerivednu>

std::pair< VectorX, VectorX > pbat::physics::LameCoefficients	(	Eigen::DenseBase< TDerivedY > const &	Y,
		Eigen::DenseBase< TDerivednu > const &	nu )

Compute the Lame coefficients from Young's modulus and Poisson's ratio.

Template Parameters

TDerivedY	Eigen dense expression of vector of Young's moduli
TDerivednu	Eigen dense expression of vector of Poisson's ratios

Parameters

Y	Vector of Young's moduli
nu	Vector of Poisson's ratios

Returns

Lame coefficients (mu, lambda)

LameCoefficients() [2/2]

PBAT_API std::pair< Scalar, Scalar > pbat::physics::LameCoefficients	(	Scalar	Y,
		Scalar	nu )

Compute the Lame coefficients from Young's modulus and Poisson's ratio.

Parameters

Y	Young's modulus
nu	Poisson's ratio

Returns

Lame coefficients (mu, lambda)