Class of the functions calculating the values of elliptic integrals and its derivatives of prolate spheroid (a1 > a2 = a3). More...

#include <esei_ProlateSpheroid.h>

Inheritance diagram for mumech::eshelbySoluEllipticIntegralsProlateSpheroid:

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

virtual	~eshelbySoluEllipticIntegralsProlateSpheroid ()
	Destructor. More...

void	giveEllipticIntegrals (double J[13], double lambda, bool intpoint)
	Function gives the values of Ferers-Dyson's elliptic integrals of the inclusion this->I. More...

void	giveDerivativesOfEllipticIntegrals (Point *point, bool intpoint)
	Function gives the values of Ferers-Dyson's elliptic integral derivatives of the inclusion this->I. More...

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

virtual	~eshelbySoluEllipticIntegrals ()
	Destructor. More...

void	getPerturbatedLambdas (double *lambdas, const double loc_x[3])
	Helper function. More...

Private Member Functions
double	eI (double a[3], double k, double Theta, double mult)

double	I1 (double a1, double a3, double I13, double lambda, bool intpoint)

double	I2 (double a1, double a3, double lambda, bool intpoint)

double	I3 (double I2)

double	I11 (double a1, double a3, double I13, double lambda, bool intpoint)

double	I12 (double I3)

double	I13 (double a1, double a3, double I1, double I3)

double	I22 (double I33)

double	I23 (double I33)

double	I33 (double a1, double a3, double I13, double lambda, bool intpoint)

double	get_b (double a1, double a3, double lambda)

double	get_d (double a1, double a3, double lambda)

double	get_delta_lambda (double a1, double a3, double lambda)

double	getLambda (const double a[3], double x1, double x2, double x3)
	Returns lambda for a given point (x1, x2, x3) More...

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

Detailed Description

Class of the functions calculating the values of elliptic integrals and its derivatives of prolate spheroid (a1 > a2 = a3).

Definition at line 45 of file esei_ProlateSpheroid.h.

Constructor & Destructor Documentation

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

inline

Constructor.

Definition at line 49 of file esei_ProlateSpheroid.h.

virtual mumech::eshelbySoluEllipticIntegralsProlateSpheroid::~eshelbySoluEllipticIntegralsProlateSpheroid ( )

inlinevirtual

Destructor.

Definition at line 51 of file esei_ProlateSpheroid.h.

References eI(), get_b(), get_d(), get_delta_lambda(), getLambda(), giveDerivativesOfEllipticIntegrals(), giveEllipticIntegrals(), I1(), I11(), I12(), I13(), I2(), I22(), I23(), I3(), and I33().

Member Function Documentation

double mumech::eshelbySoluEllipticIntegralsProlateSpheroid::eI	(	double	a[3],
		double	k,
		double	Theta,
		double	mult
	)

private

Definition at line 153 of file esei_ProlateSpheroid.cpp.

References mumech::legendreIntegrals::ellf(), and SQR.

Referenced by ~eshelbySoluEllipticIntegralsProlateSpheroid().

double mumech::eshelbySoluEllipticIntegralsProlateSpheroid::get_b	(	double	a1,
		double	a3,
		double	lambda
	)

private

Definition at line 270 of file esei_ProlateSpheroid.cpp.

References SQR.

Referenced by I1(), I2(), and ~eshelbySoluEllipticIntegralsProlateSpheroid().

double mumech::eshelbySoluEllipticIntegralsProlateSpheroid::get_d	(	double	a1,
		double	a3,
		double	lambda
	)

private

Definition at line 276 of file esei_ProlateSpheroid.cpp.

References SQR.

Referenced by I1(), I2(), and ~eshelbySoluEllipticIntegralsProlateSpheroid().

double mumech::eshelbySoluEllipticIntegralsProlateSpheroid::get_delta_lambda	(	double	a1,
		double	a3,
		double	lambda
	)

private

Definition at line 282 of file esei_ProlateSpheroid.cpp.

References SQR.

Referenced by I11(), I33(), and ~eshelbySoluEllipticIntegralsProlateSpheroid().

double mumech::eshelbySoluEllipticIntegralsProlateSpheroid::getLambda	(	const double	a[3],
		double	x1,
		double	x2,
		double	x3
	)

privatevirtual

Returns lambda for a given point (x1, x2, x3)

Implements mumech::eshelbySoluEllipticIntegrals.

Definition at line 288 of file esei_ProlateSpheroid.cpp.

References SQR.

Referenced by ~eshelbySoluEllipticIntegralsProlateSpheroid().

void mumech::eshelbySoluEllipticIntegralsProlateSpheroid::giveDerivativesOfEllipticIntegrals	(	Point *	point,
		bool	intpoint
	)

virtual

Function gives the values of Ferers-Dyson's elliptic integral derivatives of the inclusion this->I.

Parameters

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

Implements mumech::eshelbySoluEllipticIntegrals.

Definition at line 78 of file esei_ProlateSpheroid.cpp.

References mumech::_CENTER_, _errorr, mumech::_Xm_, mumech::_XmYm_, mumech::_XmYp_, mumech::_XmZm_, mumech::_XmZp_, mumech::_Xp_, mumech::_XpYm_, mumech::_XpYp_, mumech::_XpZm_, mumech::_XpZp_, mumech::_Ym_, mumech::_YmZm_, mumech::_YmZp_, mumech::_Yp_, mumech::_YpZm_, mumech::_YpZp_, mumech::_Zm_, mumech::_Zp_, mumech::Point::ddJi, mumech::Point::ddJij, mumech::Point::dJi, mumech::Point::dJij, mumech::eshelbySoluEllipticIntegrals::getPerturbatedLambdas(), giveEllipticIntegrals(), mumech::eshelbySoluEllipticIntegrals::I, mumech::Point::loc_x, mumech::Inclusion::ndiff_1, and NUM_PERTURB.

Referenced by ~eshelbySoluEllipticIntegralsProlateSpheroid().

void mumech::eshelbySoluEllipticIntegralsProlateSpheroid::giveEllipticIntegrals	(	double	integrArray[13],
		double	lambda,
		bool	intpoint
	)

virtual

Function gives the values of Ferers-Dyson's elliptic integrals of the inclusion this->I.

Parameters

integrArray[13]	Array with elliptic integrals values.
lambda	Lambda parameter (not a Lame constant !!!).

Implements mumech::eshelbySoluEllipticIntegrals.

Definition at line 45 of file esei_ProlateSpheroid.cpp.

References _errorr, mumech::Inclusion::a, mumech::eshelbySoluEllipticIntegrals::I, I1(), I11(), I12(), I13(), I2(), I22(), I23(), I3(), and I33().

Referenced by giveDerivativesOfEllipticIntegrals(), and ~eshelbySoluEllipticIntegralsProlateSpheroid().

double mumech::eshelbySoluEllipticIntegralsProlateSpheroid::I1	(	double	a1,
		double	a3,
		double	I13,
		double	lambda,
		bool	intpoint
	)

private

Definition at line 163 of file esei_ProlateSpheroid.cpp.

References _4PI_, mumech::acosh(), get_b(), get_d(), I2(), and SQR.

Referenced by giveEllipticIntegrals(), and ~eshelbySoluEllipticIntegralsProlateSpheroid().

double mumech::eshelbySoluEllipticIntegralsProlateSpheroid::I11	(	double	a1,
		double	a3,
		double	I13,
		double	lambda,
		bool	intpoint
	)

private

Definition at line 206 of file esei_ProlateSpheroid.cpp.

References _4PI_, get_delta_lambda(), I13(), and SQR.

Referenced by giveEllipticIntegrals(), and ~eshelbySoluEllipticIntegralsProlateSpheroid().

double mumech::eshelbySoluEllipticIntegralsProlateSpheroid::I12 ( double I3 )

private

Definition at line 223 of file esei_ProlateSpheroid.cpp.

References I13().

Referenced by giveEllipticIntegrals(), and ~eshelbySoluEllipticIntegralsProlateSpheroid().

double mumech::eshelbySoluEllipticIntegralsProlateSpheroid::I13	(	double	a1,
		double	a3,
		double	I1,
		double	I3
	)

private

Definition at line 231 of file esei_ProlateSpheroid.cpp.

References SQR.

Referenced by giveEllipticIntegrals(), I11(), I12(), and ~eshelbySoluEllipticIntegralsProlateSpheroid().

double mumech::eshelbySoluEllipticIntegralsProlateSpheroid::I2	(	double	a1,
		double	a3,
		double	lambda,
		bool	intpoint
	)

private

Definition at line 181 of file esei_ProlateSpheroid.cpp.

References mumech::acosh(), get_b(), get_d(), PI, and SQR.

Referenced by giveEllipticIntegrals(), I1(), I3(), and ~eshelbySoluEllipticIntegralsProlateSpheroid().

double mumech::eshelbySoluEllipticIntegralsProlateSpheroid::I22 ( double I33 )

private

Definition at line 239 of file esei_ProlateSpheroid.cpp.

References I33().

Referenced by giveEllipticIntegrals(), and ~eshelbySoluEllipticIntegralsProlateSpheroid().

double mumech::eshelbySoluEllipticIntegralsProlateSpheroid::I23 ( double I33 )

private

Definition at line 247 of file esei_ProlateSpheroid.cpp.

References I33().

Referenced by giveEllipticIntegrals(), and ~eshelbySoluEllipticIntegralsProlateSpheroid().

double mumech::eshelbySoluEllipticIntegralsProlateSpheroid::I3 ( double I2 )

private

Definition at line 199 of file esei_ProlateSpheroid.cpp.

References I2().

Referenced by giveEllipticIntegrals(), and ~eshelbySoluEllipticIntegralsProlateSpheroid().

double mumech::eshelbySoluEllipticIntegralsProlateSpheroid::I33	(	double	a1,
		double	a3,
		double	I13,
		double	lambda,
		bool	intpoint
	)

private

Definition at line 254 of file esei_ProlateSpheroid.cpp.

References _4PI_, get_delta_lambda(), PI, and SQR.

Referenced by giveEllipticIntegrals(), I22(), I23(), and ~eshelbySoluEllipticIntegralsProlateSpheroid().

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

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

Public Member Functions

Private Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation