sofa::component::solidmechanics::fem::elastic::StrainDisplacement< DataTypes, ElementType > Struct Template Reference

#include <StrainDisplacement.h>

Detailed Description

template<class DataTypes, class ElementType>
struct sofa::component::solidmechanics::fem::elastic::StrainDisplacement< DataTypes, ElementType >

Represents the strain-displacement matrix (B-matrix) for a finite element.

The B-matrix relates the strain vector (in Voigt notation) to the nodal displacement vector: ε = B * u.

Template Parameters

DataTypes

The traits defining the simulation's data types (e.g., Vec3d).

Parameters

ElementType

The type of finite element (e.g., Tetrahedron).

Public Attributes
sofa::type::Mat< nbLines, nbColumns, sofa::Real_t< DataTypes > >	B

Static Public Attributes
static constexpr auto	spatial_dimensions = DataTypes::spatial_dimensions
static constexpr auto	nbLines = sofa::type::NumberOfIndependentElements<spatial_dimensions>
static constexpr auto	nbNodesInElement = ElementType::NumberOfNodes
static constexpr auto	nbColumns = nbNodesInElement * spatial_dimensions

Public Member Functions
constexpr Real &	operator() (sofa::Size i, sofa::Size j) noexcept
constexpr const Real &	operator() (sofa::Size i, sofa::Size j) const noexcept
constexpr sofa::type::Vec< nbLines, Real >	operator* (const sofa::type::Vec< nbColumns, Real > &v) const
template<sofa::Size C>
constexpr sofa::type::Mat< nbColumns, C, Real >	multTranspose (const sofa::type::Mat< nbLines, C, Real > &v) const noexcept
constexpr sofa::type::Vec< nbColumns, Real >	multTranspose (const sofa::type::Vec< nbLines, Real > &v) const noexcept

Friends
std::ostream &	operator<< (std::ostream &out, const StrainDisplacement &B)

Attribute details

B

template<class DataTypes , class ElementType >

sofa::type::Mat<nbLines, nbColumns, sofa::Real_t<DataTypes> > sofa::component::solidmechanics::fem::elastic::StrainDisplacement< DataTypes, ElementType >::B

Internal representation of the strain-displacement matrix.

nbColumns

template<class DataTypes , class ElementType >

constexpr auto sofa::component::solidmechanics::fem::elastic::StrainDisplacement< DataTypes, ElementType >::nbColumns = nbNodesInElement * spatial_dimensions

staticconstexpr

nbLines

template<class DataTypes , class ElementType >

constexpr auto sofa::component::solidmechanics::fem::elastic::StrainDisplacement< DataTypes, ElementType >::nbLines = sofa::type::NumberOfIndependentElements<spatial_dimensions>

staticconstexpr

nbNodesInElement

template<class DataTypes , class ElementType >

constexpr auto sofa::component::solidmechanics::fem::elastic::StrainDisplacement< DataTypes, ElementType >::nbNodesInElement = ElementType::NumberOfNodes

staticconstexpr

spatial_dimensions

template<class DataTypes , class ElementType >

constexpr auto sofa::component::solidmechanics::fem::elastic::StrainDisplacement< DataTypes, ElementType >::spatial_dimensions = DataTypes::spatial_dimensions

staticconstexpr

Function details

multTranspose() [1/2]

template<class DataTypes , class ElementType >

template<sofa::Size C>

constexpr sofa::type::Mat<nbColumns, C, Real> sofa::component::solidmechanics::fem::elastic::StrainDisplacement< DataTypes, ElementType >::multTranspose ( const sofa::type::Mat< nbLines, C, Real > &  v ) const

inlineconstexprnoexcept

Multiplies the transpose of the B-matrix by a matrix.

Template Parameters

C	Number of columns in the matrix v.

Parameters

v	Matrix to multiply with B^T.

Returns

Resulting matrix B^T * v.

multTranspose() [2/2]

template<class DataTypes , class ElementType >

constexpr sofa::type::Vec<nbColumns, Real> sofa::component::solidmechanics::fem::elastic::StrainDisplacement< DataTypes, ElementType >::multTranspose ( const sofa::type::Vec< nbLines, Real > &  v ) const

inlineconstexprnoexcept

Multiplies the transpose of the B-matrix by a strain vector.

Parameters

v	Strain (or stress) vector in Voigt notation.

Returns

Resulting nodal force vector.

operator()() [1/2]

template<class DataTypes , class ElementType >

constexpr const Real& sofa::component::solidmechanics::fem::elastic::StrainDisplacement< DataTypes, ElementType >::operator() ( sofa::Size  i, sofa::Size  j  ) const

inlineconstexprnoexcept

Accesses the element at (i, j) in the strain-displacement matrix (const).

operator()() [2/2]

template<class DataTypes , class ElementType >

constexpr Real& sofa::component::solidmechanics::fem::elastic::StrainDisplacement< DataTypes, ElementType >::operator() ( sofa::Size  i, sofa::Size  j  )

inlineconstexprnoexcept

Accesses the element at (i, j) in the strain-displacement matrix.

operator*()

template<class DataTypes , class ElementType >

constexpr sofa::type::Vec<nbLines, Real> sofa::component::solidmechanics::fem::elastic::StrainDisplacement< DataTypes, ElementType >::operator* ( const sofa::type::Vec< nbColumns, Real > &  v ) const

inlineconstexpr

Multiplies the B-matrix by a displacement vector.

Parameters

v	Displacement vector.

Returns

Resulting strain vector in Voigt notation.

Related details

operator<<

template<class DataTypes , class ElementType >

std::ostream& operator<< ( std::ostream &  out, const StrainDisplacement< DataTypes, ElementType > &  B  )

friend

Outputs the B-matrix to a stream.