Class of the functions returning the Eshelby solution of an inclusion of an ellipsoidal shape loaded by the uniform strain/stress field. More...

#include <esuf.h>

Inheritance diagram for mumech::eshelbySoluUniformField:

Public Member Functions
	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	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	eshelbyTensUniformField (double eshTens[12], const double sort_a[3], const double eInt[13])

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...

Protected Attributes
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

Class of the functions returning the Eshelby solution of an inclusion of an ellipsoidal shape loaded by the uniform strain/stress field.

Definition at line 46 of file esuf.h.

Constructor & Destructor Documentation

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

Constructor.

Definition at line 54 of file esuf.cpp.

References _1Min2nu, _1MinNu, _1Plus2nu, _2nu, _2nuMin1, _3Min4nu, I, mumech::Problem::matrix, mult, MULT, multTRN, nu, mumech::MatrixRecord::nu(), mumech::Inclusion::P, and PI.

virtual mumech::eshelbySoluUniformField::~eshelbySoluUniformField ( )

inlinevirtual

Destructor.

Definition at line 66 of file esuf.h.

References eshelbyTensCompUniformField(), eshelbyTensUniformField(), giveDijkl(), giveDisplacementPerturbTensor_EXTpoint(), giveDisplacementPerturbTensor_INTpoint(), giveEshelbyDisplacementOfOnePoint(), giveEshelbyDisplacementUniformField(), giveEshelbyFieldsOfOnePoint(), giveEshelbyStrainOfOnePoint(), giveEshelbyStrainUniformField(), giveEshelbyTensor(), giveEshelbyTensorInverse(), giveLijkEXT(), giveLijkINT(), giveSijkl(), and giveStrainPerturbTensor().

Member Function Documentation

double mumech::eshelbySoluUniformField::eshelbyTensCompUniformField	(	const double	sort_a[3],
		const double	eSInt[13],
		double	nu,
		EshelbyTensComponent	flag
	)

protectedvirtual

Reimplemented in mumech::eshelbySoluUniformFieldCylinder, mumech::eshelbySoluUniformFieldEllipticCylinder, mumech::eshelbySoluUniformFieldFlatEllipsoid, mumech::eshelbySoluUniformFieldOblateSpheroid, mumech::eshelbySoluUniformFieldPenny, and mumech::eshelbySoluUniformFieldProlateSpheroid.

Definition at line 246 of file esuf.cpp.

References __I, _Int11_, _Int12_, _Int13_, _Int1_, _Int21_, _Int22_, _Int23_, _Int2_, _Int31_, _Int32_, _Int33_, _Int3_, mumech::_S1111_, mumech::_S1122_, mumech::_S1133_, mumech::_S1212_, mumech::_S1313_, mumech::_S2211_, mumech::_S2222_, mumech::_S2233_, mumech::_S2323_, mumech::_S3311_, mumech::_S3322_, mumech::_S3333_, MULT, nu, and SQR.

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

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

protectedvirtual

Reimplemented in mumech::eshelbySoluUniformFieldCylinder, mumech::eshelbySoluUniformFieldEllipticCylinder, and mumech::eshelbySoluUniformFieldSphere.

Definition at line 317 of file esuf.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_, eshelbyTensCompUniformField(), and nu.

Referenced by giveEshelbyTensor(), and ~eshelbySoluUniformField().

void mumech::eshelbySoluUniformField::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]
	)

protectedvirtual

Reimplemented in mumech::eshelbySoluUniformFieldCylinder, mumech::eshelbySoluUniformFieldEllipticCylinder, mumech::eshelbySoluUniformFieldFlatEllipsoid, mumech::eshelbySoluUniformFieldOblateSpheroid, mumech::eshelbySoluUniformFieldProlateSpheroid, and mumech::eshelbySoluUniformFieldPenny.

Definition at line 648 of file esuf.cpp.

References _1111_, _1112_, _1113_, _1122_, _1123_, _1133_, _1211_, _1212_, _1213_, _1222_, _1223_, _1233_, _1311_, _1312_, _1313_, _1322_, _1323_, _1333_, _1Min2nu, _1MinNu, _1Plus2nu, _2211_, _2212_, _2213_, _2222_, _2223_, _2233_, _2311_, _2312_, _2313_, _2322_, _2323_, _2333_, _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, multTRN, nu, SQR, X1, X2, and X3.

Referenced by giveStrainPerturbTensor(), and ~eshelbySoluUniformField().

void mumech::eshelbySoluUniformField::giveDisplacementPerturbTensor_EXTpoint ( Point * point )

protected

Function gives the Displacement perturbation tensor of a EXTERNAL point with respect to owner inclusion.

Parameters

point Point record (data structure of a given point).

Definition at line 910 of file esuf.cpp.

References mumech::Inclusion::a, mumech::Point::dJi, mumech::Point::dJij, mumech::Point::eInt, giveLijkEXT(), giveLijkINT(), I, mumech::Point::L, and mumech::Point::loc_x.

Referenced by giveEshelbyFieldsOfOnePoint(), and ~eshelbySoluUniformField().

void mumech::eshelbySoluUniformField::giveDisplacementPerturbTensor_INTpoint	(	double	L[18],
		const double	x[3]
	)

protected

Function gives the Displacement perturbation tensor of a INTERNAL point with respect to owner inclusion.

Parameters

L[18]	Perturbation (Eshelby's-like) displacement tensor to be evaluated and saved.
x[3]	Local coordinates of a point.

Definition at line 922 of file esuf.cpp.

References mumech::Inclusion::a, mumech::InclusionRecord3D::eInt, giveLijkINT(), and I.

Referenced by giveEshelbyDisplacementOfOnePoint(), and ~eshelbySoluUniformField().

void mumech::eshelbySoluUniformField::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.

This field depends on the presence of an ellipsoidal-like inclusion.

Parameters

globPert_displc	Resulting displacement vector.
coords	Coordinates of the point.
lc	ID number of computed load case.

Definition at line 209 of file esuf.cpp.

References giveDisplacementPerturbTensor_INTpoint(), giveEshelbyDisplacementUniformField(), I, mumech::InclusionRecord3D::locEigStrain_LC, mumech::Inclusion::rotateDisplc_L2G(), and mumech::Inclusion::transformCoords_G2L().

Referenced by ~eshelbySoluUniformField().

void mumech::eshelbySoluUniformField::giveEshelbyDisplacementUniformField	(	double	displacement[3],
		const double	pertDispTens[18],
		const double	unifStrain[6]
	)

protected

Function gives the 'Eshelby' perturbation displacement vector of an arbitrary point of an ellipsoidal inclusion.

answer = L * unifStrain Solution derived on the basis of Toshio Mura's book (1982).

Parameters

displacement[3]	Pointer to array of the displacement vector to be saved.
pertDispTens[18]	L_ijkl tensor, i.e. pointer to perturbation displacemtn tensor
unifStrain[6]	Uniform "transformation" strain field inside the inclusion domain.

Definition at line 79 of file esuf.cpp.

Referenced by giveEshelbyDisplacementOfOnePoint(), giveEshelbyFieldsOfOnePoint(), and ~eshelbySoluUniformField().

void mumech::eshelbySoluUniformField::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.

These fields depend on the presence of an ellipsoidal-like inclusion.

Parameters

point	Point record (data structure of a given point).
lc	ID number of first computed load case.
nlc	Number of computed loadcases.
disp	YES/NO flag controls computing of displacement fields.
strn	YES/NO flag controls computing of strain fields.

Definition at line 162 of file esuf.cpp.

References mumech::Inclusion::a, mumech::Point::D, mumech::Point::displacement, mumech::Point::eInt, mumech::InclusionRecord3D::ellInt, mumech::eshelbySoluEllipticIntegrals::giveDerivativesOfEllipticIntegrals(), giveDisplacementPerturbTensor_EXTpoint(), mumech::eshelbySoluEllipticIntegrals::giveEllipticIntegrals(), giveEshelbyDisplacementUniformField(), giveEshelbyStrainUniformField(), giveEshelbyTensor(), mumech::eshelbySoluLambda::giveLambda(), giveStrainPerturbTensor(), I, mumech::Point::L, mumech::Point::la, mumech::Point::loc_x, mumech::InclusionRecord3D::locEigStrain_LC, mumech::Inclusion::rotateDisplc_L2G(), mumech::Inclusion::rotateStrain_L2G(), mumech::Point::S, mumech::Inclusion::shape, mumech::Point::strain, mumech::Inclusion::transformCoords_G2L(), and mumech::Point::x.

Referenced by ~eshelbySoluUniformField().

void mumech::eshelbySoluUniformField::giveEshelbyStrainOfOnePoint ( Point * point )

Function gives the 'Eshelby' STRAIN field in an arbitrary EXTERNAL point.

This field depends on the presence of an ellipsoidal-like inclusion and incremental eigenstrain saved in the first LoadCase position, so the function can be used only in BALANCING ALGORITHM!

Parameters

point Point record (data structure of a given point).

Definition at line 134 of file esuf.cpp.

References mumech::Inclusion::a, mumech::Point::D, mumech::Point::eInt, mumech::InclusionRecord3D::ellInt, mumech::eshelbySoluEllipticIntegrals::giveDerivativesOfEllipticIntegrals(), mumech::eshelbySoluEllipticIntegrals::giveEllipticIntegrals(), giveEshelbyStrainUniformField(), giveEshelbyTensor(), mumech::eshelbySoluLambda::giveLambda(), giveStrainPerturbTensor(), I, mumech::Point::la, mumech::Point::loc_x, mumech::InclusionRecord3D::locEigStrain, mumech::Inclusion::rotateStrain_L2G(), mumech::Point::S, mumech::Inclusion::shape, mumech::Point::strain, mumech::Inclusion::transformCoords_G2L(), and mumech::Point::x.

Referenced by mumech::selfBalanceAlgorithm::totalEigStrainInInclCentroidsUpdate(), and ~eshelbySoluUniformField().

void mumech::eshelbySoluUniformField::giveEshelbyStrainUniformField	(	double	strain[6],
		const double	pertTens[36],
		const double	unifStrain[6]
	)

protected

Function gives the 'Eshelby' perturbation strain tensor of an arbitrary point of an ellipsoidal inclusion.

answer = D * unifStrain Solution adopted from Toshio Mura's book (1982).

Parameters

strain[6]	Pointer to array of the strain tensor to be saved
pertTens[36]	Pointer to strain perturbation tensor 'D_ijkl'
unifStrain[6]	Uniform "transformation" strain field inside the inclusion domain

Definition at line 107 of file esuf.cpp.

Referenced by giveEshelbyFieldsOfOnePoint(), giveEshelbyStrainOfOnePoint(), and ~eshelbySoluUniformField().

void mumech::eshelbySoluUniformField::giveEshelbyTensor	(	double	S[12],
		const double	eInt[13]
	)

Function gives the Eshelby tensor of an inclusion of arbitrary shape.

Parameters

S[12]	Eshelby tensor to be calculated
eInt[13]	Values of elliptical integrals for lambda = 0, (i.e. internal fields)

Definition at line 225 of file esuf.cpp.

References mumech::Inclusion::a, eshelbyTensUniformField(), and I.

Referenced by giveEshelbyFieldsOfOnePoint(), giveEshelbyStrainOfOnePoint(), mumech::InclusionRecord3D::initialize(), and ~eshelbySoluUniformField().

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

virtual

Function gives the inverse of the Eshelby tensor of an inclusion of arbitrary shape.

(last edit: 12. 12. 2009)

Parameters

SInv[12]	- eshelby tensor to be calculated
S[12]	- eshelby tensor

Definition at line 348 of file esuf.cpp.

References mumech::giveInverseMatrix6x6to12().

Referenced by mumech::InclusionRecord3D::initialize(), and ~eshelbySoluUniformField().

void mumech::eshelbySoluUniformField::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]
	)

protected

Function gives the displacement perturbation tensor of external fields.

(last edit: 15. 07. 2010)

Parameters

Lext[18]	Perturbation (generalized Eshelby's) displacement tensor to be evaluated and saved
Lint[18]	Perturbation (Eshelby's-like) displacement tensor
dJi[9]	first derivatives of Ferers-Dysons' elliptic integrals Ii
dJij[27]	first derivatives of Ferers-Dysons' elliptic integrals Iij
sort_a[3]	sorted semiaxes' dimensions
x[3]	coordinates of a point

Definition at line 938 of file esuf.cpp.

References _111_, _112_, _113_, _122_, _123_, _133_, _211_, _212_, _213_, _222_, _223_, _233_, _311_, _312_, _313_, _322_, _323_, _333_, mumech::CopyVector(), J11_1, J11_2, J11_3, J12_2, J12_3, J13_3, J1_1, J1_2, J1_3, J21_1, J21_2, J21_3, J22_2, J22_3, J23_3, J2_2, J2_3, J31_1, J31_2, J31_3, J32_2, J32_3, J33_3, J3_3, multTRN, SQR, X1, X2, and X3.

Referenced by giveDisplacementPerturbTensor_EXTpoint(), and ~eshelbySoluUniformField().

void mumech::eshelbySoluUniformField::giveLijkINT	(	double	Lint[18],
		const double	J[13],
		const double	sort_a[3],
		const double	x[3]
	)

protected

Function gives the displacement perturbation tensor of internal fields.

Parameters

Lint[18]	Perturbation (Eshelby's-like) displacement tensor to be evaluated and saved
J[13]	Ferers-Dysons' elliptic integrals
sort_a[3]	sorted semiaxes' dimensions
x[3]	coordinates of a point

Definition at line 982 of file esuf.cpp.

References _111_, _112_, _113_, _122_, _123_, _133_, _1Min2nu, _211_, _212_, _213_, _222_, _223_, _233_, _2nu, _311_, _312_, _313_, _322_, _323_, _333_, J1, J11, J12, J13, J2, J21, J22, J23, J3, J31, J32, J33, multTRN, SQR, X1, X2, and X3.

Referenced by giveDisplacementPerturbTensor_EXTpoint(), giveDisplacementPerturbTensor_INTpoint(), and ~eshelbySoluUniformField().

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

virtual

Definition at line 473 of file esuf.cpp.

References _errorr, meso2d::epsilon, mumech::polynomialRootSolution::GauLegF(), and PI.

Referenced by giveDijkl(), mumech::Dilute::giveFullDiluteConcentrationFactorOfInclusionInLC(), and ~eshelbySoluUniformField().

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

protectedvirtual

Reimplemented in mumech::eshelbySoluUniformFieldCylinder, mumech::eshelbySoluUniformFieldEllipticCylinder, mumech::eshelbySoluUniformFieldOblateSpheroid, mumech::eshelbySoluUniformFieldProlateSpheroid, mumech::eshelbySoluUniformFieldFlatEllipsoid, and mumech::eshelbySoluUniformFieldPenny.

Definition at line 383 of file esuf.cpp.

References _1111_, _1112_, _1113_, _1122_, _1123_, _1133_, _1211_, _1212_, _1213_, _1222_, _1223_, _1233_, _1311_, _1312_, _1313_, _1322_, _1323_, _1333_, _1Min2nu, _1MinNu, _2211_, _2212_, _2213_, _2222_, _2223_, _2233_, _2311_, _2312_, _2313_, _2322_, _2323_, _2333_, _2nu, _3311_, _3312_, _3313_, _3322_, _3323_, _3333_, J1, J11, J12, J13, J2, J21, J22, J23, J3, J31, J32, J33, mult, multTRN, and SQR.

void mumech::eshelbySoluUniformField::giveStrainPerturbTensor ( Point * point )

protected

Function gives the strain perturbation tensor of a point with respect to an inclusion of arbitrary shape.

Parameters

point	Point record (data structure of a given point)
point	Point record (data structure of a given point)
sort_a[3]	Sorted dimensions of ellipsoidal semiaxes (a1>a2,>a3)
inclGeometry	Geometry of inclusion, defined in "eshelbySoluUniformField.h"

Definition at line 366 of file esuf.cpp.

References mumech::Inclusion::a, mumech::Point::D, mumech::Point::ddJi, mumech::Point::ddJij, mumech::Point::dJi, mumech::Point::dJij, mumech::Point::eInt, giveDijkl(), I, mumech::Point::loc_x, and mumech::Point::S.

Referenced by giveEshelbyFieldsOfOnePoint(), giveEshelbyStrainOfOnePoint(), and ~eshelbySoluUniformField().

Member Data Documentation

double mumech::eshelbySoluUniformField::_1Min2nu

protected

- 2. * nu

Definition at line 58 of file esuf.h.

double mumech::eshelbySoluUniformField::_1MinNu

protected

- nu

Definition at line 54 of file esuf.h.

double mumech::eshelbySoluUniformField::_1Plus2nu

protected

+ 2. * nu

Definition at line 53 of file esuf.h.

Referenced by eshelbySoluUniformField(), mumech::eshelbySoluUniformFieldOblateSpheroid::giveDijkl(), mumech::eshelbySoluUniformFieldProlateSpheroid::giveDijkl(), mumech::eshelbySoluUniformFieldEllipticCylinder::giveDijkl(), mumech::eshelbySoluUniformFieldCylinder::giveDijkl(), mumech::eshelbySoluUniformFieldSphere::giveDijkl(), and giveDijkl().

double mumech::eshelbySoluUniformField::_2nu

protected

* nu

Definition at line 52 of file esuf.h.

double mumech::eshelbySoluUniformField::_2nuMin1

protected

* nu - 1.

Definition at line 59 of file esuf.h.

Referenced by eshelbySoluUniformField().

double mumech::eshelbySoluUniformField::_3Min4nu

protected

- 4. * nu

Definition at line 60 of file esuf.h.

Referenced by eshelbySoluUniformField().

const InclusionRecord3D* mumech::eshelbySoluUniformField::I

protected

Definition at line 49 of file esuf.h.

Referenced by eshelbySoluUniformField(), giveDisplacementPerturbTensor_EXTpoint(), giveDisplacementPerturbTensor_INTpoint(), giveEshelbyDisplacementOfOnePoint(), giveEshelbyFieldsOfOnePoint(), giveEshelbyStrainOfOnePoint(), giveEshelbyTensor(), and giveStrainPerturbTensor().

double mumech::eshelbySoluUniformField::mult

protected

* PI * ( nu - 1. )

Definition at line 55 of file esuf.h.

Referenced by eshelbySoluUniformField(), mumech::eshelbySoluUniformFieldPenny::giveSijkl(), mumech::eshelbySoluUniformFieldFlatEllipsoid::giveSijkl(), mumech::eshelbySoluUniformFieldProlateSpheroid::giveSijkl(), mumech::eshelbySoluUniformFieldOblateSpheroid::giveSijkl(), mumech::eshelbySoluUniformFieldEllipticCylinder::giveSijkl(), mumech::eshelbySoluUniformFieldCylinder::giveSijkl(), mumech::eshelbySoluUniformFieldSphere::giveSijkl(), and giveSijkl().

double mumech::eshelbySoluUniformField::MULT

protected

/ ( 8. * PI * ( 1. - nu ) )

Definition at line 56 of file esuf.h.

Referenced by eshelbySoluUniformField(), mumech::eshelbySoluUniformFieldEllipticCylinder::eshelbyTensCompUniformField(), mumech::eshelbySoluUniformFieldPenny::eshelbyTensCompUniformField(), mumech::eshelbySoluUniformFieldOblateSpheroid::eshelbyTensCompUniformField(), mumech::eshelbySoluUniformFieldFlatEllipsoid::eshelbyTensCompUniformField(), mumech::eshelbySoluUniformFieldProlateSpheroid::eshelbyTensCompUniformField(), mumech::eshelbySoluUniformFieldCylinder::eshelbyTensCompUniformField(), and eshelbyTensCompUniformField().

double mumech::eshelbySoluUniformField::multTRN

protected

1./mult

Definition at line 57 of file esuf.h.

double mumech::eshelbySoluUniformField::nu

protected

nu of matrix

Definition at line 51 of file esuf.h.

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

/home/termit/CVUT/GRANT_micromechanics/muMECH/src/libmumech/esuf.h
/home/termit/CVUT/GRANT_micromechanics/muMECH/src/libmumech/esuf.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation