#include <TPZYCSandlerDimaggio.h>

Inheritance diagram for TPZYCSandlerDimaggio:

Collaboration diagram for TPZYCSandlerDimaggio:

Public Types
enum	{ NYield }

Public Member Functions
virtual int	ClassId () const override
	Define the class id associated with the class. More...

	TPZYCSandlerDimaggio ()

	TPZYCSandlerDimaggio (const TPZYCSandlerDimaggio &source)

TPZYCSandlerDimaggio &	operator= (const TPZYCSandlerDimaggio &source)

void	Write (TPZStream &buf, int withclassid) const override
	Writes this object to the TPZStream buffer. Include the classid if withclassid = true. More...

void	Read (TPZStream &buf, void *context) override
	read objects from the stream More...

virtual	~TPZYCSandlerDimaggio ()

const char *	Name () const

void	Print (std::ostream &out) const override

int	GetForceYield ()

void	SetForceYield (const int forceYield)

void	SetYieldStatusMode (const TPZTensor< REAL > &sigma, const REAL &A)

template<class T >
void	Compute (const TPZTensor< T > &sigma, const T &A, TPZVec< T > &res, int checkForcedYield) const
	Calculo do criterio de plastificacao. More...

template<class T >
void	N (const TPZTensor< T > &sigma, const T &A, TPZVec< TPZTensor< T > > &Ndir, int checkForcedYield) const

template<class T >
void	H (const TPZTensor< T > &sigma, const T &A, TPZVec< T > &h, int checkForcedYield) const

void	SetUp (REAL A, REAL B, REAL C, REAL D, REAL R, REAL W)

template<class T >
void	AlphaMultiplier (const T &A, T &multiplier) const

REAL	InitialDamage ()

void	InitialGuess (const TPZElasticResponse &ER, REAL epsp, TPZTensor< REAL > &sigtrial, REAL &epspproj, TPZVec< REAL > &delgamma, TPZTensor< REAL > &sigproj)

REAL	FZero () const

REAL	LMax () const

template<class T >
void	EpspFromL (const T &L, T &epsp) const

template<class T >
void	DEpspDL (const T &L, T &depspdL) const

template<class T >
void	D2EpspDL2 (const T &L, T &d2epspdL2) const

void	YieldFunction (const TPZVec< STATE > &sigma, STATE kprev, TPZVec< STATE > &yield) const override

virtual int	GetNYield () const override

template<class T >
void	SolveL (const T &X, T &L, REAL relTol=1.e-10) const

template<class T >
void	ComputeF (const T &L, T &F) const

template<class T >
void	ComputedF (const T &L, T &dF) const

template<class T >
void	ComputeX (const T &A, T &X) const

int	NumCases ()

void	LoadState (TPZFMatrix< REAL > &state)

void	ComputeTangent (TPZFMatrix< REAL > &tangent, TPZVec< REAL > &, int icase)

void	Residual (TPZFMatrix< REAL > &res, int icase)

Public Member Functions inherited from TPZSavable
	TPZSavable ()

virtual	~TPZSavable ()

virtual std::list< std::map< std::string, uint64_t > >	VersionHistory () const

virtual std::pair< std::string, uint64_t >	Version () const

virtual bool	Compare (TPZSavable *copy, bool override=false)
	Compares the object for identity with the object pointed to, eventually copy the object. More...

virtual bool	Compare (TPZSavable *copy, bool override=false) const
	Compares the object for identity with the object pointed to, eventually copy the object. More...

Public Member Functions inherited from TPZRegisterClassId
template<typename T >
	TPZRegisterClassId (int(T::*)() const)

	TPZRegisterClassId ()=default

Static Public Member Functions
static void	CheckConv ()

static void	TestSolveL ()

static void	McCormicRanchSand (TPZYCSandlerDimaggio &material)

Static Public Member Functions inherited from TPZSavable
static std::set< TPZRestoreClassBase * > &	RestoreClassSet ()
	This static function guarantees that the gMap object is available when needed. More...

static std::map< int, TPZRestore_t > &	ClassIdMap ()
	This static function guarantees that the gMap object is available when needed. More...

static std::pair< std::string, uint64_t >	NeoPZVersion ()

static void	Register (TPZRestoreClassBase *restore)

static void	RegisterClassId (int classid, TPZRestore_t fun)

static TPZSavable *	CreateInstance (const int &classId)

Public Attributes
REAL	fA

REAL	fB

REAL	fC

REAL	fD

REAL	fW

REAL	fR

bool	fIsonCap

Static Public Attributes
static TPZTensor< REAL >	gRefTension

Protected Member Functions
template<class T >
void	ComputeDL (const T &L, const T &A, T &DL) const

template<class T >
void	LInitialGuess (const T &X, T &L) const

void	ComputeD2F (REAL L, REAL &D2F) const

REAL	Distance (const TPZElasticResponse &ER, REAL L, TPZVec< REAL > &sigtrialIJ) const
	compute the distance between the trial point and the point on the F1 curve More...

REAL	DDistance (const TPZElasticResponse &ER, REAL L, TPZVec< REAL > &sigtrialIJ) const
	compute the derivative of the distance with respect to L More...

REAL	D2Distance (const TPZElasticResponse &ER, REAL L, TPZVec< REAL > &sigtrialIJ) const
	compute the second derivative of the distance with respect to L More...

REAL	ComputeEpsp (const REAL L) const

REAL	FuncEpsp (const TPZElasticResponse &ER, REAL theta, REAL epsp, REAL delepsp, TPZVec< REAL > &sigtrialIJ)

REAL	FuncEpspUsingL (const TPZElasticResponse &ER, REAL theta, REAL epspini, REAL L, TPZVec< REAL > &sigtrialIJ)

void	DFuncEpspUsingL (const TPZElasticResponse &ER, REAL theta, REAL L, TPZVec< REAL > &sigtrialIJ, TPZVec< REAL > &result) const

void	DFuncEpsp (const TPZElasticResponse &ER, REAL theta, REAL epsp, REAL delepsp, TPZVec< REAL > &result) const

REAL	FuncEpspL (const TPZElasticResponse &ER, REAL theta, REAL L, REAL deltaL, TPZVec< REAL > &sigtrialIJ)

void	DFuncEpspL (const TPZElasticResponse &ER, REAL theta, REAL L, REAL deltaL, TPZVec< REAL > &sigtrialIJ, TPZVec< REAL > &result) const

REAL	FuncThetaL (const TPZElasticResponse &ER, REAL theta, REAL L, TPZVec< REAL > &sigtrialIJ) const

REAL	FuncTheta (const TPZElasticResponse &ER, REAL theta, REAL epsp, REAL delepsp, TPZVec< REAL > &sigtrialIJ) const

REAL	FuncTheta2L (const TPZElasticResponse &ER, REAL theta, REAL L, TPZVec< REAL > &sigtrialIJ) const

REAL	FuncTheta2 (const TPZElasticResponse &ER, REAL theta, REAL epsp, REAL delepsp, TPZVec< REAL > &sigtrialIJ) const

REAL	DistThetaL (const TPZElasticResponse &ER, REAL theta, REAL L, TPZVec< REAL > &sigtrialIJ) const

REAL	DistTheta (const TPZElasticResponse &ER, REAL theta, REAL epsp, REAL delepsp, TPZVec< REAL > &sigtrialIJ) const

void	DFuncTheta (const TPZElasticResponse &ER, REAL theta, REAL epsp, REAL delepsp, TPZVec< REAL > &sigtrialIJ, TPZVec< REAL > &result) const

void	DFuncTheta2 (const TPZElasticResponse &ER, REAL theta, REAL epsp, REAL delepsp, TPZVec< REAL > &sigtrialIJ, TPZVec< REAL > &result) const

void	DFuncTheta2L (const TPZElasticResponse &ER, REAL theta, REAL L, TPZVec< REAL > &sigtrialIJ, TPZVec< REAL > &result) const

void	UpdateSigtrialIJ (const TPZElasticResponse &ER, REAL epsp, REAL theta, TPZVec< REAL > &sigtrialIJ)

void	UpdateSigtrialIJL (const TPZElasticResponse &ER, REAL L, REAL theta, TPZVec< REAL > &sigtrialIJ)

void	NewtonF1 (const TPZElasticResponse &ER, REAL &L, TPZVec< REAL > &sigtrialIJ)
	Projeto o ponto sobre a superficie F1, atualiza o L. More...

void	NewtonF2 (const TPZElasticResponse &ER, REAL &epsp, TPZVec< REAL > &sigtrialIJ)

void	NewtonF3 (const TPZElasticResponse &ER, REAL &epsp, TPZVec< REAL > &sigtrialIJ)

void	NewtonF2L (const TPZElasticResponse &ER, REAL &L, TPZVec< REAL > &sigtrialIJ)

Detailed Description

Implementa as funções de potencial plástico e yield criterium do modelo constitutivo associativo de Sandler e Dimaggio (1971), desenvolvido inicialmente para arenitos (Ranch McCormic Sand)

Definition at line 31 of file TPZYCSandlerDimaggio.h.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum

Enumerator
NYield

Definition at line 34 of file TPZYCSandlerDimaggio.h.

Constructor & Destructor Documentation

◆ TPZYCSandlerDimaggio() [1/2]

TPZYCSandlerDimaggio::TPZYCSandlerDimaggio ( )

inline

Definition at line 40 of file TPZYCSandlerDimaggio.h.

◆ TPZYCSandlerDimaggio() [2/2]

TPZYCSandlerDimaggio::TPZYCSandlerDimaggio ( const TPZYCSandlerDimaggio & source )

inline

Definition at line 43 of file TPZYCSandlerDimaggio.h.

References fA, fB, fC, fD, fIsonCap, fR, and fW.

◆ ~TPZYCSandlerDimaggio()

virtual TPZYCSandlerDimaggio::~TPZYCSandlerDimaggio ( )

inlinevirtual

Definition at line 82 of file TPZYCSandlerDimaggio.h.

Member Function Documentation

◆ AlphaMultiplier()

template<class T >

void TPZYCSandlerDimaggio::AlphaMultiplier	(	const T &	A,
		T &	multiplier
	)		const

inline

Multiplicador para o caso onde utilizamos uma variavel de dano modificada

Definition at line 164 of file TPZYCSandlerDimaggio.h.

◆ CheckConv()

void TPZYCSandlerDimaggio::CheckConv ( )

inlinestatic

Definition at line 1442 of file TPZYCSandlerDimaggio.h.

References _XX_, _XY_, _XZ_, _YY_, _ZZ_, CheckConvergence(), and McCormicRanchSand().

◆ ClassId()

int TPZYCSandlerDimaggio::ClassId ( ) const

overridevirtual

Define the class id associated with the class.

This id has to be unique for all classes A non unique id is flagged at the startup of the program

Implements TPZSavable.

Reimplemented in TPZYCSandlerDimaggioL, and TPZYCSandlerDimaggioL2.

Definition at line 4 of file TPZYCSandlerDimaggio.cpp.

References Hash().

Referenced by TPZYCSandlerDimaggioL::ClassId().

◆ Compute()

template<class T >

void TPZYCSandlerDimaggio::Compute	(	const TPZTensor< T > &	sigma,
		const T &	A,
		TPZVec< T > &	res,
		int	checkForcedYield
	)		const

inline

Calculo do criterio de plastificacao.

Parameters

[in]	sigma	tensao atual
[in]	A	forca thermodinamica atual
[out]	res	Result
[in]	checkForcedYield	indicates whether to force post-peak failure behavior

Definition at line 1008 of file TPZYCSandlerDimaggio.h.

References ComputeF(), ComputeX(), fabs, FL, fR, TPZTensor< T >::I1(), TPZTensor< T >::J2(), LInitialGuess(), LOGPZ_INFO, LOGPZ_WARN, SolveL(), sqrt, and TPZExtractVal::val().

Referenced by InitialGuess(), Residual(), SetYieldStatusMode(), TestSolveL(), TPZPlasticTest::UndocumentedTest4(), and YieldFunction().

◆ ComputeD2F()

void TPZYCSandlerDimaggio::ComputeD2F	(	REAL	L,
		REAL &	D2F
	)		const

inlineprotected

Compute the second derivative of F

Definition at line 1311 of file TPZYCSandlerDimaggio.h.

References exp, fB, and fC.

Referenced by D2Distance(), and GetNYield().

◆ ComputedF()

template<class T >

void TPZYCSandlerDimaggio::ComputedF	(	const T &	L,
		T &	dF
	)		const

inline

Evaluates the F(L) grouping total derivative

Definition at line 1307 of file TPZYCSandlerDimaggio.h.

References exp, fB, and fC.

Referenced by D2Distance(), DDistance(), DFuncEpsp(), DFuncEpspL(), DFuncEpspUsingL(), DFuncTheta(), DFuncTheta2(), DFuncTheta2L(), GetNYield(), SolveL(), and TestSolveL().

◆ ComputeDL()

template<class T >

void TPZYCSandlerDimaggio::ComputeDL	(	const T &	L,
		const T &	A,
		T &	DL
	)		const

inlineprotected

compute the derivative of the L function as a function of epsp (A)

Parameters

[in]	L	value of the L function corresponding to A
[in]	value	of the volumetric plastic strain
[out]	derivative	of L with respect to A

Definition at line 1292 of file TPZYCSandlerDimaggio.h.

References exp, fB, fC, fD, fR, fW, LMax(), and TPZExtractVal::val().

Referenced by DFuncEpsp(), DFuncTheta(), DFuncTheta2(), and GetNYield().

◆ ComputeEpsp()

REAL TPZYCSandlerDimaggio::ComputeEpsp ( const REAL L ) const

inlineprotected

Computes the value of volumetric plastic strain as a function of L

Definition at line 303 of file TPZYCSandlerDimaggio.h.

References ComputeF(), exp, fD, FL, fR, and fW.

Referenced by FuncEpspUsingL(), NewtonF2(), and NewtonF3().

◆ ComputeF()

template<class T >

void TPZYCSandlerDimaggio::ComputeF	(	const T &	L,
		T &	F
	)		const

inline

Evaluates the F(L) grouping

Definition at line 1302 of file TPZYCSandlerDimaggio.h.

References exp, fA, fB, and fC.

◆ ComputeTangent()

void TPZYCSandlerDimaggio::ComputeTangent	(	TPZFMatrix< REAL > &	tangent,
		TPZVec< REAL > &	,
		int	icase
	)

inline

Definition at line 1363 of file TPZYCSandlerDimaggio.h.

References TPZTensor< T >::CopyTo(), TPZTensor< T >::fData, gRefTension, LOGPZ_DEBUG, N(), and TPZFMatrix< TVar >::Redim().

◆ ComputeX()

template<class T >

void TPZYCSandlerDimaggio::ComputeX	(	const T &	A,
		T &	X
	)		const

inline

Evaluates X(EpsilonPvol), the value of the first invariant of an hydrostatic stress tensor at the cap yield surface. In this implementation X should negative in compression.

Definition at line 1316 of file TPZYCSandlerDimaggio.h.

References DebugStop, fD, fW, log, LOGPZ_WARN, and TPZExtractVal::val().

Referenced by Compute(), DFuncEpsp(), DFuncTheta(), DFuncTheta2(), DistTheta(), FuncEpsp(), FuncTheta(), FuncTheta2(), GetNYield(), H(), TPZYCSandlerDimaggioL2::InitialDamage(), TPZYCSandlerDimaggioL::InitialDamage(), N(), NewtonF2(), NewtonF3(), TestSolveL(), and UpdateSigtrialIJ().

◆ D2Distance()

REAL TPZYCSandlerDimaggio::D2Distance	(	const TPZElasticResponse &	ER,
		REAL	L,
		TPZVec< REAL > &	sigtrialIJ
	)		const

inlineprotected

compute the second derivative of the distance with respect to L

Definition at line 1850 of file TPZYCSandlerDimaggio.h.

References ComputeD2F(), ComputedF(), ComputeF(), TPZElasticResponse::G(), and TPZElasticResponse::K().

Referenced by GetNYield(), and NewtonF1().

◆ D2EpspDL2()

template<class T >

void TPZYCSandlerDimaggio::D2EpspDL2	(	const T &	L,
		T &	d2epspdL2
	)		const

compute the second derivative of epsp as a function from L

Definition at line 1726 of file TPZYCSandlerDimaggio.h.

References ComputeF(), exp, fB, fC, fD, FL, fR, and fW.

Referenced by TPZYCSandlerDimaggioL::ComputeLatIntersectionLeft(), DFuncEpspL(), LMax(), NewtonF1(), and TPZYCSandlerDimaggioL2::ProjectBorder().

◆ DDistance()

REAL TPZYCSandlerDimaggio::DDistance	(	const TPZElasticResponse &	ER,
		REAL	L,
		TPZVec< REAL > &	sigtrialIJ
	)		const

inlineprotected

compute the derivative of the distance with respect to L

Definition at line 1832 of file TPZYCSandlerDimaggio.h.

References ComputedF(), ComputeF(), TPZElasticResponse::G(), and TPZElasticResponse::K().

Referenced by GetNYield(), and NewtonF1().

◆ DEpspDL()

template<class T >

void TPZYCSandlerDimaggio::DEpspDL	(	const T &	L,
		T &	depspdL
	)		const

compute the derivative of epsp as a function from L

Definition at line 1714 of file TPZYCSandlerDimaggio.h.

References ComputeF(), exp, fB, fC, fD, FL, fR, and fW.

Referenced by TPZYCSandlerDimaggioL::AlphaMultiplier(), TPZYCSandlerDimaggioL::ComputeLatIntersectionLeft(), DFuncEpspL(), DFuncEpspUsingL(), FuncEpspL(), LMax(), NewtonF1(), and TPZYCSandlerDimaggioL2::ProjectBorder().

◆ DFuncEpsp()

void TPZYCSandlerDimaggio::DFuncEpsp	(	const TPZElasticResponse &	ER,
		REAL	theta,
		REAL	epsp,
		REAL	delepsp,
		TPZVec< REAL > &	result
	)		const

inlineprotected

compute the derivative of the function FuncEpsp with respect to theta and delepsp

Definition at line 365 of file TPZYCSandlerDimaggio.h.

References ComputedF(), ComputeDL(), ComputeF(), ComputeX(), cos(), fR, TPZElasticResponse::Lambda(), LInitialGuess(), TPZElasticResponse::Mu(), sin, and SolveL().

Referenced by NewtonF2().

◆ DFuncEpspL()

void TPZYCSandlerDimaggio::DFuncEpspL	(	const TPZElasticResponse &	ER,
		REAL	theta,
		REAL	L,
		REAL	deltaL,
		TPZVec< REAL > &	sigtrialIJ,
		TPZVec< REAL > &	result
	)		const

inlineprotected

compute the derivative of the function FuncEpsp with respect to theta and delepsp

Definition at line 414 of file TPZYCSandlerDimaggio.h.

References ComputedF(), ComputeF(), cos(), D2EpspDL2(), DEpspDL(), fR, TPZElasticResponse::Lambda(), TPZElasticResponse::Mu(), and sin.

Referenced by NewtonF2L().

◆ DFuncEpspUsingL()

void TPZYCSandlerDimaggio::DFuncEpspUsingL	(	const TPZElasticResponse &	ER,
		REAL	theta,
		REAL	L,
		TPZVec< REAL > &	sigtrialIJ,
		TPZVec< REAL > &	result
	)		const

inlineprotected

compute the derivative of the function FuncEpsp with respect to theta and delepsp

Definition at line 348 of file TPZYCSandlerDimaggio.h.

References ComputedF(), ComputeF(), cos(), DEpspDL(), fR, TPZElasticResponse::Lambda(), TPZElasticResponse::Mu(), and sin.

Referenced by NewtonF3().

◆ DFuncTheta()

void TPZYCSandlerDimaggio::DFuncTheta	(	const TPZElasticResponse &	ER,
		REAL	theta,
		REAL	epsp,
		REAL	delepsp,
		TPZVec< REAL > &	sigtrialIJ,
		TPZVec< REAL > &	result
	)		const

inlineprotected

compute the derivative of the function FuncTheta with respect to theta and delepsp

Definition at line 518 of file TPZYCSandlerDimaggio.h.

References ComputedF(), ComputeDL(), ComputeF(), ComputeX(), cos(), fR, TPZElasticResponse::Lambda(), LInitialGuess(), TPZElasticResponse::Mu(), sin, and SolveL().

◆ DFuncTheta2()

void TPZYCSandlerDimaggio::DFuncTheta2	(	const TPZElasticResponse &	ER,
		REAL	theta,
		REAL	epsp,
		REAL	delepsp,
		TPZVec< REAL > &	sigtrialIJ,
		TPZVec< REAL > &	result
	)		const

inlineprotected

compute the derivative of the function FuncTheta with respect to theta and delepsp

Definition at line 547 of file TPZYCSandlerDimaggio.h.

References ComputedF(), ComputeDL(), ComputeF(), ComputeX(), cos(), fR, TPZElasticResponse::Lambda(), LInitialGuess(), TPZElasticResponse::Mu(), sin, and SolveL().

Referenced by NewtonF2().

◆ DFuncTheta2L()

void TPZYCSandlerDimaggio::DFuncTheta2L	(	const TPZElasticResponse &	ER,
		REAL	theta,
		REAL	L,
		TPZVec< REAL > &	sigtrialIJ,
		TPZVec< REAL > &	result
	)		const

inlineprotected

compute the derivative of the function FuncTheta with respect to theta and delepsp

Definition at line 575 of file TPZYCSandlerDimaggio.h.

References ComputedF(), ComputeF(), cos(), fR, TPZElasticResponse::Lambda(), TPZElasticResponse::Mu(), and sin.

Referenced by NewtonF2L(), and NewtonF3().

◆ Distance()

REAL TPZYCSandlerDimaggio::Distance	(	const TPZElasticResponse &	ER,
		REAL	L,
		TPZVec< REAL > &	sigtrialIJ
	)		const

inlineprotected

compute the distance between the trial point and the point on the F1 curve

Definition at line 1817 of file TPZYCSandlerDimaggio.h.

References ComputeF(), dist(), TPZElasticResponse::G(), and TPZElasticResponse::K().

Referenced by GetNYield().

◆ DistTheta()

REAL TPZYCSandlerDimaggio::DistTheta	(	const TPZElasticResponse &	ER,
		REAL	theta,
		REAL	epsp,
		REAL	delepsp,
		TPZVec< REAL > &	sigtrialIJ
	)		const

inlineprotected

compute the value of the distance which determines the orthogonality of the projection

Definition at line 508 of file TPZYCSandlerDimaggio.h.

References ComputeX(), DistThetaL(), and SolveL().

Referenced by NewtonF2().

◆ DistThetaL()

REAL TPZYCSandlerDimaggio::DistThetaL	(	const TPZElasticResponse &	ER,
		REAL	theta,
		REAL	L,
		TPZVec< REAL > &	sigtrialIJ
	)		const

inlineprotected

compute the value of the distance which determines the orthogonality of the projection

Definition at line 492 of file TPZYCSandlerDimaggio.h.

References ComputeF(), cos(), dist(), fR, TPZElasticResponse::Lambda(), TPZElasticResponse::Mu(), and sin.

Referenced by DistTheta(), NewtonF2L(), and NewtonF3().

◆ EpspFromL()

template<class T >

void TPZYCSandlerDimaggio::EpspFromL	(	const T &	L,
		T &	epsp
	)		const

compute epsp as a function from L

Definition at line 1703 of file TPZYCSandlerDimaggio.h.

References ComputeF(), exp, fD, FL, fR, and fW.

Referenced by FuncEpspL(), and LMax().

◆ FuncEpsp()

REAL TPZYCSandlerDimaggio::FuncEpsp	(	const TPZElasticResponse &	ER,
		REAL	theta,
		REAL	epsp,
		REAL	delepsp,
		TPZVec< REAL > &	sigtrialIJ
	)

inlineprotected

Compute the value of the equation which equates the evolution of the plastic deformation

Definition at line 314 of file TPZYCSandlerDimaggio.h.

References ComputeF(), ComputeX(), cos(), fR, TPZElasticResponse::Lambda(), LInitialGuess(), TPZElasticResponse::Mu(), and SolveL().

Referenced by NewtonF2().

◆ FuncEpspL()

REAL TPZYCSandlerDimaggio::FuncEpspL	(	const TPZElasticResponse &	ER,
		REAL	theta,
		REAL	L,
		REAL	deltaL,
		TPZVec< REAL > &	sigtrialIJ
	)

inlineprotected

Compute the value of the equation which equates the evolution of the plastic deformation

Definition at line 384 of file TPZYCSandlerDimaggio.h.

References ComputeF(), cos(), DEpspDL(), EpspFromL(), fR, TPZElasticResponse::Lambda(), LOGPZ_DEBUG, and TPZElasticResponse::Mu().

Referenced by NewtonF2L().

◆ FuncEpspUsingL()

REAL TPZYCSandlerDimaggio::FuncEpspUsingL	(	const TPZElasticResponse &	ER,
		REAL	theta,
		REAL	epspini,
		REAL	L,
		TPZVec< REAL > &	sigtrialIJ
	)

inlineprotected

Compute the value of the equation which equates the evolution of the plastic deformation

Definition at line 332 of file TPZYCSandlerDimaggio.h.

References ComputeEpsp(), ComputeF(), cos(), fR, TPZElasticResponse::Lambda(), and TPZElasticResponse::Mu().

Referenced by NewtonF3().

◆ FuncTheta()

REAL TPZYCSandlerDimaggio::FuncTheta	(	const TPZElasticResponse &	ER,
		REAL	theta,
		REAL	epsp,
		REAL	delepsp,
		TPZVec< REAL > &	sigtrialIJ
	)		const

inlineprotected

compute the value of the equation which determines the orthogonality of the projection

Definition at line 448 of file TPZYCSandlerDimaggio.h.

References ComputeX(), FuncThetaL(), test::res, and SolveL().

◆ FuncTheta2()

REAL TPZYCSandlerDimaggio::FuncTheta2	(	const TPZElasticResponse &	ER,
		REAL	theta,
		REAL	epsp,
		REAL	delepsp,
		TPZVec< REAL > &	sigtrialIJ
	)		const

inlineprotected

compute the value of the equation which determines the orthogonality of the projection

Definition at line 482 of file TPZYCSandlerDimaggio.h.

References ComputeX(), FuncTheta2L(), and SolveL().

Referenced by NewtonF2().

◆ FuncTheta2L()

REAL TPZYCSandlerDimaggio::FuncTheta2L	(	const TPZElasticResponse &	ER,
		REAL	theta,
		REAL	L,
		TPZVec< REAL > &	sigtrialIJ
	)		const

inlineprotected

compute the value of the equation which determines the orthogonality of the projection

Definition at line 459 of file TPZYCSandlerDimaggio.h.

References ComputeF(), cos(), fR, TPZElasticResponse::Lambda(), LOGPZ_DEBUG, TPZElasticResponse::Mu(), test::res, and sin.

Referenced by FuncTheta2(), TPZYCSandlerDimaggioL2::InitialGuess(), TPZYCSandlerDimaggioL::InitialGuess(), NewtonF2L(), and NewtonF3().

◆ FuncThetaL()

REAL TPZYCSandlerDimaggio::FuncThetaL	(	const TPZElasticResponse &	ER,
		REAL	theta,
		REAL	L,
		TPZVec< REAL > &	sigtrialIJ
	)		const

inlineprotected

compute the value of the equation which determines the orthogonality of the projection

Definition at line 432 of file TPZYCSandlerDimaggio.h.

References atan2(), ComputeF(), cos(), fR, TPZElasticResponse::Lambda(), TPZElasticResponse::Mu(), test::res, and sin.

Referenced by FuncTheta().

◆ FZero()

REAL TPZYCSandlerDimaggio::FZero ( ) const

inline

value of x for which F(x)=0.1 fA

Definition at line 188 of file TPZYCSandlerDimaggio.h.

References fA, fB, fC, and log.

Referenced by LMax(), TPZYCSandlerDimaggioL2::N(), TPZYCSandlerDimaggioL::N(), and N().

◆ GetForceYield()

int TPZYCSandlerDimaggio::GetForceYield ( )

inline

Definition at line 101 of file TPZYCSandlerDimaggio.h.

◆ GetNYield()

virtual int TPZYCSandlerDimaggio::GetNYield ( ) const

inlineoverridevirtual

Implements TPZPlasticCriterion.

Reimplemented in TPZYCSandlerDimaggioL, and TPZYCSandlerDimaggioL2.

Definition at line 225 of file TPZYCSandlerDimaggio.h.

References as_integer(), ComputeD2F(), ComputedF(), ComputeDL(), ComputeF(), ComputeX(), D2Distance(), DDistance(), Distance(), LInitialGuess(), NYield, and SolveL().

◆ H()

template<class T >

void TPZYCSandlerDimaggio::H	(	const TPZTensor< T > &	sigma,
		const T &	A,
		TPZVec< T > &	h,
		int	checkForcedYield
	)		const

inline

Derivada da funcao de plastificacao com respeito a forca termodinamica

Parameters

[in]	sigma	tensao atual
[in]	A	forca termodinamica atual
[out]	h	Derivada com respeito a forca termodinamica
[in]	checkForcedYield	indicates whether to force post-peak failure behavior

Definition at line 1202 of file TPZYCSandlerDimaggio.h.

References ComputeF(), ComputeX(), exp, fB, fC, FL, fR, TPZTensor< T >::I1(), LInitialGuess(), LOGPZ_INFO, SolveL(), and TPZExtractVal::val().

Referenced by SetYieldStatusMode(), and TestSolveL().

◆ InitialDamage()

REAL TPZYCSandlerDimaggio::InitialDamage ( )

inline

Definition at line 168 of file TPZYCSandlerDimaggio.h.

References InitialGuess().

◆ InitialGuess()

void TPZYCSandlerDimaggio::InitialGuess	(	const TPZElasticResponse &	ER,
		REAL	epsp,
		TPZTensor< REAL > &	sigtrial,
		REAL &	epspproj,
		TPZVec< REAL > &	delgamma,
		TPZTensor< REAL > &	sigproj
	)

inline

Projeto o ponto sigtrial sobre a superficie de plastificacao (se precisar) e atualiza a variavel de dano Este metodo utiliza backtracking

Parameters

[in]	ER	resposta elastica
[in]	variavel	de dano atual
[in]	tensao	da resposta elastica
[out]	epspproj	dano apos a projecao
[out]	delgamma	fatores multiplicadores para projetar o ponto sobre a superficie

Definition at line 1627 of file TPZYCSandlerDimaggio.h.

References TPZTensor< T >::Add(), TPZTensor< T >::Adjust(), Compute(), TPZElasticResponse::ComputeStrain(), DebugStop, fabs, TPZVec< T >::Fill(), TPZTensor< T >::I1(), LOGPZ_DEBUG, N(), NewtonF3(), TPZTensor< T >::Norm(), TPZTensor< T >::S(), and sqrt.

Referenced by InitialDamage().

◆ LInitialGuess()

template<class T >

void TPZYCSandlerDimaggio::LInitialGuess	(	const T &	X,
		T &	L
	)		const

inlineprotected

Might be a reasonable initial guess for L when no better data is available. In this implementation L should be negative in compression.

Definition at line 1280 of file TPZYCSandlerDimaggio.h.

References ComputeF(), and fR.

Referenced by Compute(), DFuncEpsp(), DFuncTheta(), DFuncTheta2(), FuncEpsp(), GetNYield(), H(), N(), NewtonF2(), NewtonF3(), TestSolveL(), and UpdateSigtrialIJ().

◆ LMax()

REAL TPZYCSandlerDimaggio::LMax ( ) const

inline

maximum value of L allowed

Definition at line 195 of file TPZYCSandlerDimaggio.h.

References D2EpspDL2(), DEpspDL(), EpspFromL(), and FZero().

Referenced by TPZYCSandlerDimaggioL2::Compute(), TPZYCSandlerDimaggioL::Compute(), ComputeDL(), TPZYCSandlerDimaggioL2::InitialGuess(), TPZYCSandlerDimaggioL::InitialGuess(), and SolveL().

◆ LoadState()

void TPZYCSandlerDimaggio::LoadState ( TPZFMatrix< REAL > & state )

inline

LoadState will keep a given state as static variable of the class

Definition at line 1347 of file TPZYCSandlerDimaggio.h.

References TPZTensor< T >::fData, gRefTension, and LOGPZ_DEBUG.

◆ McCormicRanchSand()

void TPZYCSandlerDimaggio::McCormicRanchSand ( TPZYCSandlerDimaggio & material )

inlinestatic

Definition at line 1593 of file TPZYCSandlerDimaggio.h.

References LOGPZ_INFO, and SetUp().

Referenced by CheckConv(), TPZSandlerDimaggio< SANDLERDIMAGGIOPARENT >::McCormicRanchSand(), TPZSandlerDimaggio< SANDLERDIMAGGIOPARENT >::McCormicRanchSandMod(), TestSolveL(), and TPZPlasticTest::UndocumentedTest4().

◆ N()

template<class T >

void TPZYCSandlerDimaggio::N	(	const TPZTensor< T > &	sigma,
		const T &	A,
		TPZVec< TPZTensor< T > > &	Ndir,
		int	checkForcedYield
	)		const

inline

Derivada da derivada da funcao de potencial plastico (direção de plastificação)

Parameters

[in]	sigma	tensao atual
[in]	A	forca termodinamica atual
[out]	Ndir	Derivada com respeito a tensao
[in]	checkForcedYield	indicates whether to force post-peak failure behavior

Definition at line 1073 of file TPZYCSandlerDimaggio.h.

References ComputeF(), ComputeX(), DebugStop, exp, fB, fC, FL, fR, FZero(), TPZTensor< T >::I1(), TPZTensor< T >::J2(), LInitialGuess(), LOGPZ_DEBUG, LOGPZ_INFO, LOGPZ_WARN, SolveL(), sqrt, TPZExtractVal::val(), TPZTensor< T >::XX(), TPZTensor< T >::XY(), TPZTensor< T >::XZ(), TPZTensor< T >::YY(), TPZTensor< T >::YZ(), and TPZTensor< T >::ZZ().

Referenced by ComputeTangent(), InitialGuess(), Residual(), SetYieldStatusMode(), TestSolveL(), and TPZPlasticTest::UndocumentedTest4().

◆ Name()

const char* TPZYCSandlerDimaggio::Name ( ) const

inline

Definition at line 86 of file TPZYCSandlerDimaggio.h.

Referenced by Print().

◆ NewtonF1()

void TPZYCSandlerDimaggio::NewtonF1	(	const TPZElasticResponse &	ER,
		REAL &	L,
		TPZVec< REAL > &	sigtrialIJ
	)

inlineprotected

Projeto o ponto sobre a superficie F1, atualiza o L.

Projeto o ponto sobre a superficie F1, atualiza o L e sigtrialIJ.

Definition at line 1739 of file TPZYCSandlerDimaggio.h.

References ComputeF(), D2Distance(), D2EpspDL2(), DDistance(), DEpspDL(), EMathematicaInput, fabs, TPZElasticResponse::K(), TPZMatrix< TVar >::Print(), and TPZFMatrix< TVar >::Resize().

Referenced by TPZYCSandlerDimaggioL2::InitialGuess(), TPZYCSandlerDimaggioL::InitialGuess(), and UpdateSigtrialIJL().

◆ NewtonF2()

void TPZYCSandlerDimaggio::NewtonF2	(	const TPZElasticResponse &	ER,
		REAL &	epsp,
		TPZVec< REAL > &	sigtrialIJ
	)

inlineprotected

Definition at line 615 of file TPZYCSandlerDimaggio.h.

References asin, ComputeEpsp(), ComputeF(), ComputeX(), cos(), DFuncEpsp(), DFuncTheta2(), DistTheta(), ELU, error(), fabs, fR, FuncEpsp(), FuncTheta2(), fW, LInitialGuess(), LOGPZ_DEBUG, TPZMatrix< TVar >::Print(), TPZMatrix< TVar >::SolveDirect(), SolveL(), sqrt, and UpdateSigtrialIJ().

◆ NewtonF2L()

void TPZYCSandlerDimaggio::NewtonF2L	(	const TPZElasticResponse &	ER,
		REAL &	L,
		TPZVec< REAL > &	sigtrialIJ
	)

inlineprotected

Definition at line 832 of file TPZYCSandlerDimaggio.h.

References asin, ComputeF(), cos(), DFuncEpspL(), DFuncTheta2L(), DistThetaL(), ELU, error(), fabs, fB, fC, fR, FuncEpspL(), FuncTheta2L(), log, LOGPZ_DEBUG, TPZMatrix< TVar >::Print(), TPZMatrix< TVar >::SolveDirect(), sqrt, and UpdateSigtrialIJL().

Referenced by TPZYCSandlerDimaggioL2::InitialGuess(), and TPZYCSandlerDimaggioL::InitialGuess().

◆ NewtonF3()

void TPZYCSandlerDimaggio::NewtonF3	(	const TPZElasticResponse &	ER,
		REAL &	epsp,
		TPZVec< REAL > &	sigtrialIJ
	)

inlineprotected

Definition at line 725 of file TPZYCSandlerDimaggio.h.

References asin, ComputeEpsp(), ComputeF(), ComputeX(), cos(), DFuncEpspUsingL(), DFuncTheta2L(), DistThetaL(), ELU, error(), fabs, fR, FuncEpspUsingL(), FuncTheta2L(), LInitialGuess(), LOGPZ_DEBUG, TPZMatrix< TVar >::Print(), TPZMatrix< TVar >::SolveDirect(), SolveL(), sqrt, and UpdateSigtrialIJL().

Referenced by InitialGuess().

◆ NumCases()

int TPZYCSandlerDimaggio::NumCases ( )

inline

number of types of residuals

Definition at line 1343 of file TPZYCSandlerDimaggio.h.

◆ operator=()

TPZYCSandlerDimaggio& TPZYCSandlerDimaggio::operator= ( const TPZYCSandlerDimaggio & source )

inline

Definition at line 53 of file TPZYCSandlerDimaggio.h.

References fA, fB, fC, fD, fIsonCap, fR, and fW.

Referenced by TPZYCSandlerDimaggioL::operator=().

◆ Print()

void TPZYCSandlerDimaggio::Print ( std::ostream & out ) const

inlineoverridevirtual

Reimplemented from TPZPlasticCriterion.

Reimplemented in TPZYCSandlerDimaggioL, and TPZYCSandlerDimaggioL2.

Definition at line 90 of file TPZYCSandlerDimaggio.h.

References fA, fB, fC, fD, fIsonCap, fR, fW, and Name().

Referenced by TPZYCSandlerDimaggioL::Print().

◆ Read()

void TPZYCSandlerDimaggio::Read	(	TPZStream &	buf,
		void *	context
	)

inlineoverridevirtual

read objects from the stream

Reimplemented from TPZSavable.

Definition at line 73 of file TPZYCSandlerDimaggio.h.

References fA, fB, fC, fD, fR, fW, and TPZStream::Read().

◆ Residual()

void TPZYCSandlerDimaggio::Residual	(	TPZFMatrix< REAL > &	res,
		int	icase
	)

inline

Definition at line 1406 of file TPZYCSandlerDimaggio.h.

References Compute(), gRefTension, LOGPZ_DEBUG, N(), TPZFMatrix< TVar >::Redim(), and test::res.

◆ SetForceYield()

void TPZYCSandlerDimaggio::SetForceYield ( const int forceYield )

inline

Definition at line 105 of file TPZYCSandlerDimaggio.h.

◆ SetUp()

void TPZYCSandlerDimaggio::SetUp	(	REAL	A,
		REAL	B,
		REAL	C,
		REAL	D,
		REAL	R,
		REAL	W
	)

inline

Definition at line 150 of file TPZYCSandlerDimaggio.h.

References fA, fB, fC, fD, fIsonCap, fR, and fW.

Referenced by McCormicRanchSand().

◆ SetYieldStatusMode()

void TPZYCSandlerDimaggio::SetYieldStatusMode	(	const TPZTensor< REAL > &	sigma,
		const REAL &	A
	)

inline

Checks if the proposed yield state leads to post-peak material behaviour. If so, the material is forced to behave in post-peak in order to avoid equation switching during Newton's method in the PlasticLoop routines.

Parameters

[in]	sigma	stress state
[in]	A	Thermo Force

Definition at line 116 of file TPZYCSandlerDimaggio.h.

References Compute(), h, H(), N(), and test::res.

◆ SolveL()

template<class T >

void TPZYCSandlerDimaggio::SolveL	(	const T &	X,
		T &	L,
		REAL	relTol = `1.e-10`
	)		const

inline

Solves for the invariant I1 value at the intersection of shear and hardening cap yield criteria. The current value of L when entering the function is assumed to be the initial guess. In this implementation L should be negative in compression.

Definition at line 1252 of file TPZYCSandlerDimaggio.h.

References ComputedF(), ComputeF(), fabs, fR, LMax(), test::res, and TPZExtractVal::val().

Referenced by Compute(), DFuncEpsp(), DFuncTheta(), DFuncTheta2(), DistTheta(), FuncEpsp(), FuncTheta(), FuncTheta2(), GetNYield(), H(), TPZYCSandlerDimaggioL2::InitialDamage(), TPZYCSandlerDimaggioL::InitialDamage(), N(), NewtonF2(), NewtonF3(), TestSolveL(), and UpdateSigtrialIJ().

◆ TestSolveL()

void TPZYCSandlerDimaggio::TestSolveL ( )

inlinestatic

Definition at line 1471 of file TPZYCSandlerDimaggio.h.

References Compute(), ComputedF(), ComputeF(), ComputeX(), h, H(), LInitialGuess(), LOGPZ_DEBUG, LOGPZ_INFO, McCormicRanchSand(), N(), NYield, SolveL(), TPZExtractVal::val(), TPZTensor< T >::XX(), TPZTensor< T >::XY(), TPZTensor< T >::XZ(), TPZTensor< T >::YY(), TPZTensor< T >::YZ(), and TPZTensor< T >::ZZ().

◆ UpdateSigtrialIJ()

void TPZYCSandlerDimaggio::UpdateSigtrialIJ	(	const TPZElasticResponse &	ER,
		REAL	epsp,
		REAL	theta,
		TPZVec< REAL > &	sigtrialIJ
	)

inlineprotected

Definition at line 596 of file TPZYCSandlerDimaggio.h.

References ComputeX(), LInitialGuess(), SolveL(), and UpdateSigtrialIJL().

Referenced by NewtonF2().

◆ UpdateSigtrialIJL()

void TPZYCSandlerDimaggio::UpdateSigtrialIJL	(	const TPZElasticResponse &	ER,
		REAL	L,
		REAL	theta,
		TPZVec< REAL > &	sigtrialIJ
	)

inlineprotected

Definition at line 604 of file TPZYCSandlerDimaggio.h.

References ComputeF(), cos(), fR, NewtonF1(), and sin.

Referenced by NewtonF2L(), NewtonF3(), and UpdateSigtrialIJ().

◆ Write()

void TPZYCSandlerDimaggio::Write	(	TPZStream &	buf,
		int	withclassid
	)		const

inlineoverridevirtual

Writes this object to the TPZStream buffer. Include the classid if withclassid = true.

Writes this object to the TPZStream buffer. Include the classid if withclassid = true

Reimplemented from TPZSavable.

Definition at line 64 of file TPZYCSandlerDimaggio.h.

References fA, fB, fC, fD, fR, fW, and TPZStream::Write().

◆ YieldFunction()

void TPZYCSandlerDimaggio::YieldFunction	(	const TPZVec< STATE > &	sigma,
		STATE	kprev,
		TPZVec< STATE > &	yield
	)		const

inlineoverridevirtual

Implements TPZPlasticCriterion.

Definition at line 217 of file TPZYCSandlerDimaggio.h.

References Compute(), TPZTensor< T >::XX(), TPZTensor< T >::YY(), and TPZTensor< T >::ZZ().

Member Data Documentation

◆ fA

REAL TPZYCSandlerDimaggio::fA

Parameter related to the YC and Plastic Potential A, B and C are constants in the modified Drucker-Prager shear yield criteria.

Definition at line 952 of file TPZYCSandlerDimaggio.h.

Referenced by ComputeF(), FZero(), operator=(), Print(), Read(), SetUp(), TPZYCSandlerDimaggio(), and Write().

◆ fB

REAL TPZYCSandlerDimaggio::fB

Definition at line 952 of file TPZYCSandlerDimaggio.h.

Referenced by ComputeD2F(), ComputedF(), ComputeDL(), ComputeF(), D2EpspDL2(), DEpspDL(), FZero(), TPZYCSandlerDimaggioL2::H(), TPZYCSandlerDimaggioL::H(), H(), TPZYCSandlerDimaggioL2::N(), TPZYCSandlerDimaggioL::N(), N(), NewtonF2L(), operator=(), Print(), Read(), SetUp(), TPZYCSandlerDimaggio(), and Write().

◆ fC

REAL TPZYCSandlerDimaggio::fC

Definition at line 952 of file TPZYCSandlerDimaggio.h.

Referenced by ComputeD2F(), ComputedF(), ComputeDL(), ComputeF(), D2EpspDL2(), DEpspDL(), FZero(), TPZYCSandlerDimaggioL2::H(), TPZYCSandlerDimaggioL::H(), H(), TPZYCSandlerDimaggioL2::N(), TPZYCSandlerDimaggioL::N(), N(), NewtonF2L(), operator=(), Print(), Read(), SetUp(), TPZYCSandlerDimaggio(), and Write().

◆ fD

REAL TPZYCSandlerDimaggio::fD

Parameters related to the YC and Plastic Potential The D and W parameters correlate the total plastic strain to the hydrostatic loading level. It is thus related to the cap hardening/softening.

Definition at line 960 of file TPZYCSandlerDimaggio.h.

Referenced by ComputeDL(), ComputeEpsp(), ComputeX(), D2EpspDL2(), DEpspDL(), EpspFromL(), operator=(), Print(), Read(), SetUp(), TPZYCSandlerDimaggio(), and Write().

◆ fIsonCap

bool TPZYCSandlerDimaggio::fIsonCap

Flag indicating whether the point is projected on the cap or not

Definition at line 972 of file TPZYCSandlerDimaggio.h.

Referenced by TPZYCSandlerDimaggioL2::Compute(), TPZYCSandlerDimaggioL::Compute(), TPZYCSandlerDimaggioL2::H(), TPZYCSandlerDimaggioL::H(), TPZYCSandlerDimaggioL2::InitialGuess(), TPZYCSandlerDimaggioL::InitialGuess(), TPZYCSandlerDimaggioL2::N(), TPZYCSandlerDimaggioL::N(), operator=(), Print(), SetUp(), and TPZYCSandlerDimaggio().

◆ fR

REAL TPZYCSandlerDimaggio::fR

Parameter related to the YC and Plastic Potential half-axis ratio for the ellipsoidal hardening/softening cap.

Definition at line 967 of file TPZYCSandlerDimaggio.h.

◆ fW

REAL TPZYCSandlerDimaggio::fW

Definition at line 960 of file TPZYCSandlerDimaggio.h.

Referenced by ComputeDL(), ComputeEpsp(), ComputeX(), D2EpspDL2(), DEpspDL(), EpspFromL(), NewtonF2(), operator=(), Print(), Read(), SetUp(), TPZYCSandlerDimaggio(), and Write().

◆ gRefTension

TPZTensor<REAL> TPZYCSandlerDimaggio::gRefTension

static

Definition at line 983 of file TPZYCSandlerDimaggio.h.

Referenced by ComputeTangent(), LoadState(), and Residual().

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

Material/REAL/Plasticity/TPZYCSandlerDimaggio.h
Material/REAL/Plasticity/TPZYCSandlerDimaggio.cpp

Public Types

Public Member Functions

Static Public Member Functions

Public Attributes

Static Public Attributes

Protected Member Functions

Detailed Description

Member Enumeration Documentation

◆ anonymous enum

Constructor & Destructor Documentation

◆ TPZYCSandlerDimaggio() [1/2]

◆ TPZYCSandlerDimaggio() [2/2]

◆ ~TPZYCSandlerDimaggio()

Member Function Documentation

◆ AlphaMultiplier()

◆ CheckConv()

◆ ClassId()

◆ Compute()

◆ ComputeD2F()

◆ ComputedF()

◆ ComputeDL()

◆ ComputeEpsp()

◆ ComputeF()

◆ ComputeTangent()

◆ ComputeX()

◆ D2Distance()

◆ D2EpspDL2()

◆ DDistance()

◆ DEpspDL()

◆ DFuncEpsp()

◆ DFuncEpspL()

◆ DFuncEpspUsingL()

◆ DFuncTheta()

◆ DFuncTheta2()

◆ DFuncTheta2L()

◆ Distance()

◆ DistTheta()

◆ DistThetaL()

◆ EpspFromL()

◆ FuncEpsp()

◆ FuncEpspL()

◆ FuncEpspUsingL()

◆ FuncTheta()

◆ FuncTheta2()

◆ FuncTheta2L()

◆ FuncThetaL()

◆ FZero()

◆ GetForceYield()

◆ GetNYield()

◆ H()

◆ InitialDamage()

◆ InitialGuess()

◆ LInitialGuess()

◆ LMax()

◆ LoadState()

◆ McCormicRanchSand()

◆ N()

◆ Name()

◆ NewtonF1()

◆ NewtonF2()

◆ NewtonF2L()

◆ NewtonF3()

◆ NumCases()

◆ operator=()

◆ Print()

◆ Read()

◆ Residual()

◆ SetForceYield()

◆ SetUp()

◆ SetYieldStatusMode()

◆ SolveL()

◆ TestSolveL()

◆ UpdateSigtrialIJ()

◆ UpdateSigtrialIJL()

◆ Write()

◆ YieldFunction()

Member Data Documentation

◆ fA

◆ fB

◆ fC