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

#include <esei_OblateSpheroid.h>

Inheritance diagram for mumech::eshelbySoluEllipticIntegralsOblateSpheroid:

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

virtual	~eshelbySoluEllipticIntegralsOblateSpheroid ()
	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 lambda, bool intpoint)

double	I2 (double I1)

double	I3 (double a1, double a3, double I1, double lambda, bool intpoint)

double	I11 (double I12)

double	I12 (double a1, double a3, double I13, double lambda, bool intpoint)

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

double	I22 (double I12)

double	I23 (double I13)

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 oblate spheroid (a1 = a2 > a3).

Definition at line 45 of file esei_OblateSpheroid.h.

Constructor & Destructor Documentation

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

inline

Constructor.

Definition at line 49 of file esei_OblateSpheroid.h.

virtual mumech::eshelbySoluEllipticIntegralsOblateSpheroid::~eshelbySoluEllipticIntegralsOblateSpheroid ( )

inlinevirtual

Destructor.

Definition at line 51 of file esei_OblateSpheroid.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::eshelbySoluEllipticIntegralsOblateSpheroid::eI	(	double	a[3],
		double	k,
		double	Theta,
		double	mult
	)

private

Definition at line 162 of file esei_OblateSpheroid.cpp.

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

Referenced by ~eshelbySoluEllipticIntegralsOblateSpheroid().

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

private

Definition at line 280 of file esei_OblateSpheroid.cpp.

References SQR.

Referenced by I1(), I3(), and ~eshelbySoluEllipticIntegralsOblateSpheroid().

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

private

Definition at line 286 of file esei_OblateSpheroid.cpp.

References SQR.

Referenced by I1(), I3(), and ~eshelbySoluEllipticIntegralsOblateSpheroid().

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

private

Definition at line 292 of file esei_OblateSpheroid.cpp.

References SQR.

Referenced by I12(), I33(), and ~eshelbySoluEllipticIntegralsOblateSpheroid().

double mumech::eshelbySoluEllipticIntegralsOblateSpheroid::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 298 of file esei_OblateSpheroid.cpp.

References SQR.

Referenced by ~eshelbySoluEllipticIntegralsOblateSpheroid().

void mumech::eshelbySoluEllipticIntegralsOblateSpheroid::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 89 of file esei_OblateSpheroid.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 ~eshelbySoluEllipticIntegralsOblateSpheroid().

void mumech::eshelbySoluEllipticIntegralsOblateSpheroid::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 49 of file esei_OblateSpheroid.cpp.

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

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

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

private

Definition at line 172 of file esei_OblateSpheroid.cpp.

References get_b(), get_d(), PI, and SQR.

Referenced by giveEllipticIntegrals(), I2(), I3(), and ~eshelbySoluEllipticIntegralsOblateSpheroid().

double mumech::eshelbySoluEllipticIntegralsOblateSpheroid::I11 ( double I12 )

private

Definition at line 216 of file esei_OblateSpheroid.cpp.

References I12().

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

double mumech::eshelbySoluEllipticIntegralsOblateSpheroid::I12	(	double	a1,
		double	a3,
		double	I13,
		double	lambda,
		bool	intpoint
	)

private

Definition at line 224 of file esei_OblateSpheroid.cpp.

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

Referenced by giveEllipticIntegrals(), I11(), I22(), and ~eshelbySoluEllipticIntegralsOblateSpheroid().

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

private

Definition at line 241 of file esei_OblateSpheroid.cpp.

References SQR.

Referenced by giveEllipticIntegrals(), I23(), I33(), and ~eshelbySoluEllipticIntegralsOblateSpheroid().

double mumech::eshelbySoluEllipticIntegralsOblateSpheroid::I2 ( double I1 )

private

Definition at line 190 of file esei_OblateSpheroid.cpp.

References I1().

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

double mumech::eshelbySoluEllipticIntegralsOblateSpheroid::I22 ( double I12 )

private

Definition at line 249 of file esei_OblateSpheroid.cpp.

References I12().

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

double mumech::eshelbySoluEllipticIntegralsOblateSpheroid::I23 ( double I13 )

private

Definition at line 257 of file esei_OblateSpheroid.cpp.

References I13().

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

double mumech::eshelbySoluEllipticIntegralsOblateSpheroid::I3	(	double	a1,
		double	a3,
		double	I1,
		double	lambda,
		bool	intpoint
	)

private

Definition at line 198 of file esei_OblateSpheroid.cpp.

References _4PI_, get_b(), get_d(), I1(), and SQR.

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

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

private

Definition at line 264 of file esei_OblateSpheroid.cpp.

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

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

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

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

Public Member Functions

Private Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation