Triangular element which represents yarn bending. More...

#include <Elements.h>

Inheritance diagram for TexGen::CElementTriBending:

Public Member Functions
	CElementTriBending (const CMatrix &P=CMatrix(), int iOrder=3)
	CElementTriBending ///. More...

void	SetLongitudinalBendingModulus (double E1)

double	GetLongitudinalBendingModulus ()

void	SetTransverseBendingModulus (double E2)

double	GetTransverseBendingModulus ()

double	GetArea ()

void	SetNodeCoordinates (const CMatrix &P)

void	SetIntegrationOrder (int iOrder)

void	GetKeMatrix (CMatrix &KeMatrix)

void	SetFibreDirection (XYZ FibreDirection)

XYZ	GetFibreDirection ()

Protected Member Functions
void	GetAMatrix (CMatrix &AMatrix)
	This is the coordinate matrix given nodal coordinates P. More...

void	GetXMatrix (CMatrix &XMatrix, CMatrix &Position)
	This is the matrix which defines strain in terms of the coefficients. More...

void	GetDMatrix (CMatrix &DMatrix)
	This is the material properties matrix (typically involving E and v) More...

CMatrix	GetvMatrix (CMatrix &Position)
	This is the matrix of displacement v in terms of coefficients C1, C2 ... C10. More...

CMatrix	GetTheta_xMatrix (CMatrix &Position)
	This is dv/dx. More...

CMatrix	GetTheta_yMatrix (CMatrix &Position)
	This is dv/dy. More...

CMatrix	GetEpsilon_xMatrix (CMatrix &Position)
	This is d^2v/dx^2. More...

CMatrix	GetEpsilon_yMatrix (CMatrix &Position)
	This is d^2v/dy^2. More...

CMatrix	GetEpsilon_xyMatrix (CMatrix &Position)
	This is d^2v/dxdy. More...

void	GetIntegrationPoints (vector< INTEGRATION_POINT > &IntegrationPoints)
	Defines a series of integration points. More...

void	GetBMatrix (CMatrix &BMatrix, CMatrix &Position)
	This is the dimension matrix which is composed of the A and X matrices (B=X*A^-1) More...

Protected Attributes
double	m_E1

double	m_E2

CMatrix	m_P

int	m_iIntegrationOrder

XYZ	m_FibreDirection

Detailed Description

Triangular element which represents yarn bending.

The bending modulus of the yarn can be set independantly for along the length and transverse to the yarn. If this where considered to be a regular plate such as a sheet of metal, the bending modulus Eb would be equal to E * t^3/12 where E is the young's modulus of the material and t is the thickness of the sheet. However it is not sensible to represent a yarn as such, thus a value for Eb should be specified directly rather than E and t.

Definition at line 98 of file Elements.h.

Constructor & Destructor Documentation

◆ CElementTriBending()

CElementTriBending::CElementTriBending	(	const CMatrix &	P = `CMatrix()`,
		int	iOrder = `3`
	)

CElementTriBending ///.

Definition at line 172 of file Elements.cpp.

Member Function Documentation

◆ GetAMatrix()

void CElementTriBending::GetAMatrix ( CMatrix & AMatrix )

protectedvirtual

This is the coordinate matrix given nodal coordinates P.

Implements TexGen::CElement.

Definition at line 179 of file Elements.cpp.

References GetTheta_xMatrix(), GetTheta_yMatrix(), GetvMatrix(), TexGen::CMatrix::Initialise(), and TexGen::CElement::m_P.

◆ GetArea()

double CElementTri::GetArea ( )

inherited

Definition at line 151 of file Elements.cpp.

References TexGen::CMatrix::GetDeterminant(), and TexGen::CElement::m_P.

◆ GetBMatrix()

void CElement::GetBMatrix	(	CMatrix &	BMatrix,
		CMatrix &	Position
	)

protectedinherited

This is the dimension matrix which is composed of the A and X matrices (B=X*A^-1)

Definition at line 60 of file Elements.cpp.

References TexGen::CMatrix::EqualsMultiple(), TexGen::CElement::GetAMatrix(), TexGen::CMatrix::GetInverse(), and TexGen::CElement::GetXMatrix().

Referenced by TexGen::CElement::GetKeMatrix().

◆ GetDMatrix()

void CElementTriBending::GetDMatrix ( CMatrix & DMatrix )

protectedvirtual

This is the material properties matrix (typically involving E and v)

Implements TexGen::CElement.

Definition at line 230 of file Elements.cpp.

References TexGen::CMatrix::EqualsMultipleTranspose(), TexGen::CMatrix::GetInverse(), TexGen::CMatrix::Initialise(), m_E1, m_E2, TexGen::CElement::m_FibreDirection, TexGen::Normalise(), TexGen::XYZ::x, TexGen::XY::x, TexGen::XYZ::y, and TexGen::XY::y.

◆ GetEpsilon_xMatrix()

CMatrix CElementTriBending::GetEpsilon_xMatrix ( CMatrix & Position )

protected

This is d^2v/dx^2.

Definition at line 336 of file Elements.cpp.

Referenced by GetXMatrix().

◆ GetEpsilon_xyMatrix()

CMatrix CElementTriBending::GetEpsilon_xyMatrix ( CMatrix & Position )

protected

This is d^2v/dxdy.

Definition at line 370 of file Elements.cpp.

Referenced by GetXMatrix().

◆ GetEpsilon_yMatrix()

CMatrix CElementTriBending::GetEpsilon_yMatrix ( CMatrix & Position )

protected

This is d^2v/dy^2.

Definition at line 353 of file Elements.cpp.

Referenced by GetXMatrix().

◆ GetFibreDirection()

XYZ TexGen::CElement::GetFibreDirection ( )

inlineinherited

Definition at line 44 of file Elements.h.

◆ GetIntegrationPoints()

void CElementTri::GetIntegrationPoints ( vector< INTEGRATION_POINT > & IntegrationPoints )

protectedvirtualinherited

Defines a series of integration points.

The number of integration points depends on the element shape and integration order

Implements TexGen::CElement.

Definition at line 70 of file Elements.cpp.

References TexGen::CElement::INTEGRATION_POINT::dWeight, TexGen::CMatrix::Initialise(), TexGen::CElement::m_iIntegrationOrder, TexGen::CElement::m_P, and TexGen::CElement::INTEGRATION_POINT::Position.

◆ GetKeMatrix()

void CElement::GetKeMatrix ( CMatrix & KeMatrix )

inherited

Definition at line 41 of file Elements.cpp.

References TexGen::CMatrix::EqualsTransposeMultiple(), TexGen::CElement::GetBMatrix(), TexGen::CElement::GetDMatrix(), TexGen::CElement::GetIntegrationPoints(), and TexGen::CMatrix::ZeroMatrix().

◆ GetLongitudinalBendingModulus()

double TexGen::CElementTriBending::GetLongitudinalBendingModulus ( )

inline

Definition at line 104 of file Elements.h.

◆ GetTheta_xMatrix()

CMatrix CElementTriBending::GetTheta_xMatrix ( CMatrix & Position )

protected

This is dv/dx.

Definition at line 302 of file Elements.cpp.

Referenced by GetAMatrix().

◆ GetTheta_yMatrix()

CMatrix CElementTriBending::GetTheta_yMatrix ( CMatrix & Position )

protected

This is dv/dy.

Definition at line 319 of file Elements.cpp.

Referenced by GetAMatrix().

◆ GetTransverseBendingModulus()

double TexGen::CElementTriBending::GetTransverseBendingModulus ( )

inline

Definition at line 107 of file Elements.h.

◆ GetvMatrix()

CMatrix CElementTriBending::GetvMatrix ( CMatrix & Position )

protected

This is the matrix of displacement v in terms of coefficients C1, C2 ... C10.

Definition at line 285 of file Elements.cpp.

Referenced by GetAMatrix().

◆ GetXMatrix()

void CElementTriBending::GetXMatrix	(	CMatrix &	XMatrix,
		CMatrix &	Position
	)

protectedvirtual

This is the matrix which defines strain in terms of the coefficients.

Implements TexGen::CElement.

Definition at line 215 of file Elements.cpp.

References GetEpsilon_xMatrix(), GetEpsilon_xyMatrix(), GetEpsilon_yMatrix(), and TexGen::CMatrix::Initialise().

◆ SetFibreDirection()

void TexGen::CElement::SetFibreDirection ( XYZ FibreDirection )

inlineinherited

Definition at line 43 of file Elements.h.

Referenced by TexGen::CGeometrySolver::AssignFibreDirectionToElements().

◆ SetIntegrationOrder()

void CElement::SetIntegrationOrder ( int iOrder )

inherited

Definition at line 36 of file Elements.cpp.

References TexGen::CElement::m_iIntegrationOrder.

◆ SetLongitudinalBendingModulus()

void TexGen::CElementTriBending::SetLongitudinalBendingModulus ( double E1 )

inline

Definition at line 103 of file Elements.h.

Referenced by TexGen::CGeometrySolver::CreatePlateElements().

◆ SetNodeCoordinates()

void CElement::SetNodeCoordinates ( const CMatrix & P )

inherited

Definition at line 31 of file Elements.cpp.

References TexGen::CElement::m_P.

Referenced by TexGen::CGeometrySolver::CreatePlateElements().

◆ SetTransverseBendingModulus()

void TexGen::CElementTriBending::SetTransverseBendingModulus ( double E2 )

inline

Definition at line 106 of file Elements.h.

Referenced by TexGen::CGeometrySolver::CreatePlateElements().

Member Data Documentation

◆ m_E1

double TexGen::CElementTriBending::m_E1

protected

Definition at line 127 of file Elements.h.

Referenced by GetDMatrix().

◆ m_E2

double TexGen::CElementTriBending::m_E2

protected

Definition at line 128 of file Elements.h.

Referenced by GetDMatrix().

◆ m_FibreDirection

XYZ TexGen::CElement::m_FibreDirection

protectedinherited

Definition at line 70 of file Elements.h.

Referenced by GetDMatrix(), and TexGen::CElementTriTension::GetDMatrix().

◆ m_iIntegrationOrder

int TexGen::CElement::m_iIntegrationOrder

protectedinherited

Definition at line 69 of file Elements.h.

Referenced by TexGen::CElementTri::GetIntegrationPoints(), and TexGen::CElement::SetIntegrationOrder().

◆ m_P

CMatrix TexGen::CElement::m_P

protectedinherited

Definition at line 68 of file Elements.h.

Referenced by GetAMatrix(), TexGen::CElementTriTension::GetAMatrix(), TexGen::CElementTri::GetArea(), TexGen::CElementTri::GetIntegrationPoints(), and TexGen::CElement::SetNodeCoordinates().

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

C:/Users/epzlpb/Documents/Code/TexGen/Core/Elements.h
C:/Users/epzlpb/Documents/Code/TexGen/Core/Elements.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ CElementTriBending()

Member Function Documentation

◆ GetAMatrix()

◆ GetArea()

◆ GetBMatrix()

◆ GetDMatrix()

◆ GetEpsilon_xMatrix()

◆ GetEpsilon_xyMatrix()

◆ GetEpsilon_yMatrix()

◆ GetFibreDirection()

◆ GetIntegrationPoints()

◆ GetKeMatrix()

◆ GetLongitudinalBendingModulus()

◆ GetTheta_xMatrix()

◆ GetTheta_yMatrix()

◆ GetTransverseBendingModulus()

◆ GetvMatrix()

◆ GetXMatrix()

◆ SetFibreDirection()

◆ SetIntegrationOrder()

◆ SetLongitudinalBendingModulus()

◆ SetNodeCoordinates()

◆ SetTransverseBendingModulus()

Member Data Documentation

◆ m_E1

◆ m_E2

◆ m_FibreDirection

◆ m_iIntegrationOrder

◆ m_P