Return the Eshelby solution of a spherical inclusion loaded by the uniform strain/stress field. More...

#include <esuf_Sphere.h>

Inheritance diagram for mumech::eshelbySoluUniformFieldSphere:

Public Member Functions
	eshelbySoluUniformFieldSphere (const InclusionRecord3D *i)
	Constructor. More...

virtual	~eshelbySoluUniformFieldSphere ()
	Destructor. More...

double	giveEshelbyTensCompUniformField (EshelbyTensComponent flag, double nu, double a)

void	eshelbyTensUniformField (double eshTens[12], const double sort_a[3], const double eSInt[13])

void	giveEshelbyTensorInverse (double SInv[12], const double S[])

void	giveDijkl (double D[12], const double S[], const double J[], const double dJi[], const double dJij[], const double ddJi[], const double ddJij[], const double sort_a[3], const double x[])

Public Member Functions inherited from mumech::eshelbySoluUniformField
	eshelbySoluUniformField (const InclusionRecord3D *i)
	Constructor. More...

virtual	~eshelbySoluUniformField ()
	Destructor. More...

void	giveEshelbyStrainOfOnePoint (Point *point)
	Function gives the 'Eshelby' STRAIN field in an arbitrary EXTERNAL point. More...

void	giveEshelbyFieldsOfOnePoint (Point *point, int lc, int nlc, bool disp, bool strn)
	Function gives the 'Eshelby' STRAIN and DISPLACEMENT field in an arbitrary EXTERNAL point for given load cases. More...

void	giveEshelbyDisplacementOfOnePoint (double *globPert_displc, const double coords, int lc, int nlc)
	Function gives the 'Eshelby' DISPLACEMENT field in an arbitrary INTERNAL point for given load cases. More...

void	giveEshelbyTensor (double S[12], const double eInt[13])
	Function gives the Eshelby tensor of an inclusion of arbitrary shape. More...

virtual void	giveEshelbyTensorInverse (double SInv[12], const double S[12])
	Function gives the inverse of the Eshelby tensor of an inclusion of arbitrary shape. More...

virtual void	giveSijkl (double S[36], const double sort_a[3], const double stiffMat[36], int M_partition, int N_partition)

Protected Member Functions
void	giveLijkEXT (double Lext[18], const double Lint[18], const double dJi[9], const double dJij[27], const double sort_a[3], const double x[3])

void	giveLijkINT (double Lint[18], const double J[13], const double a[3], const double x[3])

void	giveSijkl (double S[36], const double J[], const double sort_a[], double nu, bool newFormulation)

Protected Member Functions inherited from mumech::eshelbySoluUniformField
void	giveEshelbyDisplacementUniformField (double displacement[3], const double pertDispTens[18], const double unifStrain[6])
	Function gives the 'Eshelby' perturbation displacement vector of an arbitrary point of an ellipsoidal inclusion. More...

void	giveDisplacementPerturbTensor_EXTpoint (Point *point)
	Function gives the Displacement perturbation tensor of a EXTERNAL point with respect to owner inclusion. More...

void	giveDisplacementPerturbTensor_INTpoint (double L[18], const double x[3])
	Function gives the Displacement perturbation tensor of a INTERNAL point with respect to owner inclusion. More...

void	giveEshelbyStrainUniformField (double strain[6], const double pertTens[36], const double unifStrain[6])
	Function gives the 'Eshelby' perturbation strain tensor of an arbitrary point of an ellipsoidal inclusion. More...

void	giveStrainPerturbTensor (Point *point)
	Function gives the strain perturbation tensor of a point with respect to an inclusion of arbitrary shape. More...

virtual double	eshelbyTensCompUniformField (const double sort_a[3], const double eSInt[13], double nu, EshelbyTensComponent flag)

virtual void	giveDijkl (double D[36], const double S[12], const double J[13], const double dJi[9], const double dJij[27], const double ddJi[27], const double ddJij[81], const double sort_a[3], const double x[3])

virtual void	giveSijkl (double S[36], const double J[13], const double sort_a[3], double nu, bool newFormulation)

void	giveLijkEXT (double Lext[18], const double Lint[18], const double dJi[9], const double dJij[27], const double sort_a[3], const double x[3])
	Function gives the displacement perturbation tensor of external fields. More...

void	giveLijkINT (double Lint[18], const double J[13], const double sort_a[3], const double x[3])
	Function gives the displacement perturbation tensor of internal fields. More...

Additional Inherited Members
Protected Attributes inherited from mumech::eshelbySoluUniformField
const InclusionRecord3D *	I

double	nu
	nu of matrix More...

double	_2nu

double	_1Plus2nu

double	_1MinNu

double	mult

double	MULT

double	multTRN
	1./mult More...

double	_1Min2nu

double	_2nuMin1

double	_3Min4nu

Detailed Description

Return the Eshelby solution of a spherical inclusion loaded by the uniform strain/stress field.

Definition at line 41 of file esuf_Sphere.h.

Constructor & Destructor Documentation

mumech::eshelbySoluUniformFieldSphere::eshelbySoluUniformFieldSphere ( const InclusionRecord3D * i )

inline

Constructor.

Definition at line 45 of file esuf_Sphere.h.

virtual mumech::eshelbySoluUniformFieldSphere::~eshelbySoluUniformFieldSphere ( )

inlinevirtual

Destructor.

Definition at line 47 of file esuf_Sphere.h.

References eshelbyTensUniformField(), giveDijkl(), giveEshelbyTensCompUniformField(), giveEshelbyTensorInverse(), giveLijkEXT(), giveLijkINT(), giveSijkl(), and mumech::eshelbySoluUniformField::nu.

Member Function Documentation

void mumech::eshelbySoluUniformFieldSphere::eshelbyTensUniformField	(	double	eshTens[12],
		const double	sort_a[3],
		const double	eSInt[13]
	)

virtual

Reimplemented from mumech::eshelbySoluUniformField.

Definition at line 93 of file esuf_Sphere.cpp.

References mumech::_S1111_, mumech::_S1122_, mumech::_S1212_, giveEshelbyTensCompUniformField(), and mumech::eshelbySoluUniformField::nu.

Referenced by ~eshelbySoluUniformFieldSphere().

void mumech::eshelbySoluUniformFieldSphere::giveDijkl	(	double	D[12],
		const double	S[],
		const double	J[],
		const double	dJi[],
		const double	dJij[],
		const double	ddJi[],
		const double	ddJij[],
		const double	sort_a[3],
		const double	x[]
	)

Definition at line 155 of file esuf_Sphere.cpp.

References _1111_, _1112_, _1113_, _1122_, _1123_, _1133_, _1211_, _1212_, _1213_, _1222_, _1223_, _1233_, _1311_, _1312_, _1313_, _1322_, _1323_, _1333_, mumech::eshelbySoluUniformField::_1Min2nu, mumech::eshelbySoluUniformField::_1MinNu, mumech::eshelbySoluUniformField::_1Plus2nu, _2211_, _2212_, _2213_, _2222_, _2223_, _2233_, _2311_, _2312_, _2313_, _2322_, _2323_, _2333_, mumech::eshelbySoluUniformField::_2nu, _3311_, _3312_, _3313_, _3322_, _3323_, _3333_, giveSijkl(), J11_1, J11_11, J11_2, J11_21, J11_22, J11_3, J11_31, J11_32, J11_33, J12_1, J12_11, J12_2, J12_21, J12_22, J12_3, J12_31, J12_32, J12_33, J13_1, J13_11, J13_2, J13_21, J13_22, J13_3, J13_31, J13_32, J13_33, J1_1, J1_11, J1_2, J1_21, J1_22, J1_3, J1_31, J1_32, J1_33, J21_2, J21_3, J22_1, J22_11, J22_2, J22_21, J22_22, J22_3, J22_31, J22_32, J22_33, J23_1, J23_11, J23_2, J23_21, J23_22, J23_3, J23_31, J23_32, J23_33, J2_1, J2_11, J2_2, J2_21, J2_22, J2_3, J2_31, J2_32, J2_33, J31_3, J32_3, J33_1, J33_11, J33_2, J33_21, J33_22, J33_3, J33_31, J33_32, J33_33, J3_1, J3_11, J3_2, J3_21, J3_22, J3_3, J3_31, J3_32, J3_33, mumech::eshelbySoluUniformField::multTRN, mumech::eshelbySoluUniformField::nu, SQR, X1, X2, and X3.

Referenced by ~eshelbySoluUniformFieldSphere().

double mumech::eshelbySoluUniformFieldSphere::giveEshelbyTensCompUniformField	(	EshelbyTensComponent	flag,
		double	nu,
		double	a
	)

Definition at line 60 of file esuf_Sphere.cpp.

References mumech::_S1111_, mumech::_S1122_, mumech::_S1133_, mumech::_S1212_, mumech::_S1313_, mumech::_S2211_, mumech::_S2222_, mumech::_S2233_, mumech::_S2323_, mumech::_S3311_, mumech::_S3322_, mumech::_S3333_, and mumech::eshelbySoluUniformField::nu.

Referenced by eshelbyTensUniformField(), and ~eshelbySoluUniformFieldSphere().

void mumech::eshelbySoluUniformFieldSphere::giveEshelbyTensorInverse	(	double	SInv[12],
		const double	S[]
	)

Definition at line 122 of file esuf_Sphere.cpp.

References _11_, _12_, _13_, _21_, _22_, _23_, _31_, _32_, _33_, _44_, _55_, _66_, and SQR.

Referenced by ~eshelbySoluUniformFieldSphere().

void mumech::eshelbySoluUniformFieldSphere::giveLijkEXT	(	double	Lext[18],
		const double	Lint[18],
		const double	dJi[9],
		const double	dJij[27],
		const double	sort_a[3],
		const double	x[3]
	)