Detailed Description

template<class T_N, class T_DNDR, class T_J, class T_DNDX>
struct NumLib::ShapeMatrices< T_N, T_DNDR, T_J, T_DNDX >

Coordinates mapping matrices at particular location.

Template Parameters

T_N	Vector type for shape functions
T_DNDR	Matrix type for gradient of shape functions in natural coordinates
T_J	Jacobian matrix type
T_DNDX	Matrix type for gradient of shape functions in physical coordinates

Definition at line 44 of file ShapeMatrices.h.

#include <ShapeMatrices.h>

Public Types
using	ShapeType = T_N
using	DrShapeType = T_DNDR
using	JacobianType = T_J
using	DxShapeType = T_DNDX

Public Member Functions
	ShapeMatrices ()=delete
	ShapeMatrices (std::size_t local_dim, std::size_t global_dim, std::size_t n_nodes)
void	setZero ()
	reset all data with zero
template<ShapeMatrixType T_SHAPE_MATRIX_TYPE>
void	setZero ()
void	write (std::ostream &out) const

Public Attributes
ShapeType	N
	Vector of shape functions, N(r)
DrShapeType	dNdr
JacobianType	J
	Jacobian matrix, J=dx/dr.
double	detJ
	Determinant of the Jacobian.
JacobianType	invJ
	Inverse matrix of the Jacobian.
DxShapeType	dNdx
double	integralMeasure
	EIGEN_MAKE_ALIGNED_OPERATOR_NEW

Member Typedef Documentation

◆ DrShapeType

template<class T_N, class T_DNDR, class T_J, class T_DNDX>

using NumLib::ShapeMatrices< T_N, T_DNDR, T_J, T_DNDX >::DrShapeType = T_DNDR

Definition at line 47 of file ShapeMatrices.h.

◆ DxShapeType

template<class T_N, class T_DNDR, class T_J, class T_DNDX>

using NumLib::ShapeMatrices< T_N, T_DNDR, T_J, T_DNDX >::DxShapeType = T_DNDX

Definition at line 49 of file ShapeMatrices.h.

◆ JacobianType

template<class T_N, class T_DNDR, class T_J, class T_DNDX>

using NumLib::ShapeMatrices< T_N, T_DNDR, T_J, T_DNDX >::JacobianType = T_J

Definition at line 48 of file ShapeMatrices.h.

◆ ShapeType

template<class T_N, class T_DNDR, class T_J, class T_DNDX>

using NumLib::ShapeMatrices< T_N, T_DNDR, T_J, T_DNDX >::ShapeType = T_N

Definition at line 46 of file ShapeMatrices.h.

Constructor & Destructor Documentation

◆ ShapeMatrices() [1/2]

template<class T_N, class T_DNDR, class T_J, class T_DNDX>

NumLib::ShapeMatrices< T_N, T_DNDR, T_J, T_DNDX >::ShapeMatrices ( )

delete

Not default constructible, dimensions always must be given.

The default constructor has been deleted explicitly, because with dynamically allocated matrices it is rather easy to forget the required resize() call. Note: the resize() member is also deleted now.

◆ ShapeMatrices() [2/2]

template<class T_N, class T_DNDR, class T_J, class T_DNDX>

NumLib::ShapeMatrices< T_N, T_DNDR, T_J, T_DNDX >::ShapeMatrices	(	std::size_t	local_dim,
		std::size_t	global_dim,
		std::size_t	n_nodes )

inline

Initialize matrices and vectors

Parameters

local_dim	Spatial dimension of the element e.g. 1 for line, 2 for quad, and 3 hex etc.
global_dim	Spatial dimension of the element's exterior space e.g. 3 for a quad representing a boundary of a hex element.
n_nodes	The number of element nodes

Definition at line 79 of file ShapeMatrices.h.

        : N(n_nodes),
          dNdr(local_dim, n_nodes),
          J(local_dim, local_dim),
          detJ(.0),
          invJ(local_dim, local_dim),
          dNdx(global_dim, n_nodes),
          integralMeasure(0.0)
    {
        setZero();
    }

Member Function Documentation

◆ setZero() [1/2]

template<class T_N, class T_DNDR, class T_J, class T_DNDX>

void NumLib::ShapeMatrices< T_N, T_DNDR, T_J, T_DNDX >::setZero ( )

inline

reset all data with zero

Definition at line 105 of file ShapeMatrices-impl.h.

{
    detail::setZero(*this, detail::ShapeDataFieldType<ShapeMatrixType::ALL>());
}

References NumLib::detail::setZero().

Referenced by NumLib::ShapeMatrices< NodalRowVectorType, DimNodalMatrixType, DimMatrixType, GlobalDimNodalMatrixType >::ShapeMatrices().

◆ setZero() [2/2]

template<class T_N, class T_DNDR, class T_J, class T_DNDX>

template<ShapeMatrixType T_SHAPE_MATRIX_TYPE>

void NumLib::ShapeMatrices< T_N, T_DNDR, T_J, T_DNDX >::setZero ( )

inline

reset specified data with zero

Template Parameters

T_SHAPE_MATRIX_TYPE shape matrix types to be initialized

Definition at line 112 of file ShapeMatrices-impl.h.

{
    detail::setZero(*this, detail::ShapeDataFieldType<T_SHAPE_MATRIX_TYPE>());
}

References NumLib::detail::setZero().

◆ write()

template<class T_N, class T_DNDR, class T_J, class T_DNDX>

void NumLib::ShapeMatrices< T_N, T_DNDR, T_J, T_DNDX >::write ( std::ostream & out ) const

writes the matrix entries into the output stream

Parameters

out	the output stream

Definition at line 118 of file ShapeMatrices-impl.h.

{
    out << "N   :\n" << N << "\n";
    out << "dNdr:\n" << dNdr << "\n";
    out << "J   :\n" << J << "\n";
    out << "|J| : " << detJ << "\n";
    out << "invJ:\n" << invJ << "\n";
    out << "dNdx:\n" << dNdx << "\n";
}

References detJ, dNdr, dNdx, invJ, J, and N.

Referenced by NumLib::operator<<().

Member Data Documentation

◆ detJ

template<class T_N, class T_DNDR, class T_J, class T_DNDX>

double NumLib::ShapeMatrices< T_N, T_DNDR, T_J, T_DNDX >::detJ

Determinant of the Jacobian.

Definition at line 55 of file ShapeMatrices.h.

Referenced by NumLib::detail::setZero(), and write().

◆ dNdr

template<class T_N, class T_DNDR, class T_J, class T_DNDX>

DrShapeType NumLib::ShapeMatrices< T_N, T_DNDR, T_J, T_DNDX >::dNdr

Matrix of gradient of shape functions in natural coordinates, dN(r)/dr

Definition at line 52 of file ShapeMatrices.h.

Referenced by NumLib::detail::setZero(), and write().

◆ dNdx

template<class T_N, class T_DNDR, class T_J, class T_DNDX>

DxShapeType NumLib::ShapeMatrices< T_N, T_DNDR, T_J, T_DNDX >::dNdx

Matrix of gradient of shape functions in physical coordinates, dN(r)/dx

Definition at line 57 of file ShapeMatrices.h.

Referenced by NumLib::detail::setZero(), and write().

◆ EIGEN_MAKE_ALIGNED_OPERATOR_NEW

template<class T_N, class T_DNDR, class T_J, class T_DNDX>

NumLib::ShapeMatrices< T_N, T_DNDR, T_J, T_DNDX >::EIGEN_MAKE_ALIGNED_OPERATOR_NEW

Definition at line 109 of file ShapeMatrices.h.

◆ integralMeasure

template<class T_N, class T_DNDR, class T_J, class T_DNDX>

double NumLib::ShapeMatrices< T_N, T_DNDR, T_J, T_DNDX >::integralMeasure

Definition at line 59 of file ShapeMatrices.h.

Referenced by NumLib::detail::setZero().

◆ invJ

template<class T_N, class T_DNDR, class T_J, class T_DNDX>

JacobianType NumLib::ShapeMatrices< T_N, T_DNDR, T_J, T_DNDX >::invJ

Inverse matrix of the Jacobian.

Definition at line 56 of file ShapeMatrices.h.

Referenced by NumLib::detail::setZero(), and write().

◆ J

template<class T_N, class T_DNDR, class T_J, class T_DNDX>

JacobianType NumLib::ShapeMatrices< T_N, T_DNDR, T_J, T_DNDX >::J

Jacobian matrix, J=dx/dr.

Definition at line 54 of file ShapeMatrices.h.

Referenced by NumLib::detail::setZero(), and write().

◆ N

template<class T_N, class T_DNDR, class T_J, class T_DNDX>

ShapeType NumLib::ShapeMatrices< T_N, T_DNDR, T_J, T_DNDX >::N

Vector of shape functions, N(r)

Definition at line 51 of file ShapeMatrices.h.

Referenced by NumLib::detail::setZero(), and write().

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

NumLib/Fem/CoordinatesMapping/ShapeMatrices.h
NumLib/Fem/CoordinatesMapping/ShapeMatrices-impl.h

Detailed Description

Public Types

Public Member Functions

Public Attributes

Member Typedef Documentation

◆ DrShapeType

◆ DxShapeType

◆ JacobianType

◆ ShapeType

Constructor & Destructor Documentation

◆ ShapeMatrices() [1/2]

◆ ShapeMatrices() [2/2]

Member Function Documentation

◆ setZero() [1/2]

◆ setZero() [2/2]

◆ write()

Member Data Documentation

◆ detJ

◆ dNdr

◆ dNdx

◆ EIGEN_MAKE_ALIGNED_OPERATOR_NEW

◆ integralMeasure

◆ invJ

◆ J

◆ N