#include <TPZSandlerExtended.h>

Inheritance diagram for TPZSandlerExtended:

Collaboration diagram for TPZSandlerExtended:

Public Types
enum	{ NYield }

Public Member Functions
	TPZSandlerExtended (STATE A, STATE B, STATE C, STATE D, STATE K, STATE G, STATE W, STATE R, STATE Phi, STATE N, STATE Psi, STATE kappa_0)
	Constructor, with all parameters which define the Sandler DiMaggio model. More...

	TPZSandlerExtended (const TPZSandlerExtended &copy)
	Copy constructor. More...

	TPZSandlerExtended ()
	Empty constructor. More...

TPZSandlerExtended &	operator= (const TPZSandlerExtended &source)

virtual	~TPZSandlerExtended ()
	Desctructor. More...

STATE	GetX (STATE k)

void	Firstk (STATE &epsp, STATE &k) const
	Compute k as a function of epsp using Newton iterations. More...

TPZElasticResponse	GetElasticResponse ()

void	SetElasticResponse (const TPZElasticResponse &ER)

virtual TPZElasticResponse	GetElasticResponse () const

STATE	GetR ()

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

virtual int	GetNYield () const override

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

template<class T >
T	F (const T x) const

template<class T >
T	DF (const T x) const

STATE	GetF (STATE x) const

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

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

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

REAL	InitialDamage (const TPZVec< REAL > &stress_p) const
	Compute initial damage variable from the given principal stress state. More...

void	Phi (TPZVec< REAL > sigma, STATE alpha, TPZVec< STATE > &phi) const

void	SurfaceParamF1 (TPZVec< STATE > &sigproj, STATE &xi, STATE &beta) const

void	SurfaceParamF2 (const TPZVec< STATE > &sigproj, const STATE k, STATE &theta, STATE &beta) const

STATE	NormalFunctionToF1 (STATE &I1, STATE &k) const

void	ProjectApex (const TPZVec< STATE > &trial_stress, STATE kprev, TPZVec< STATE > &projected_stress, STATE &kproj) const

void	ProjectF1 (const TPZVec< STATE > &trial_stress, STATE kprev, TPZVec< STATE > &projected_stress, STATE &kproj) const

void	ProjectF2 (const TPZVec< STATE > &trial_stress, STATE kprev, TPZVec< STATE > &projected_stress, STATE &kproj) const

void	ProjectCapVertex (const TPZVec< STATE > &trial_stress, STATE kprev, TPZVec< STATE > &projected_stress, STATE &kproj) const

void	ProjectCapCoVertex (const TPZVec< STATE > &trial_stress, STATE kprev, TPZVec< STATE > &projected_stress, STATE &kproj) const

void	ProjectCoVertex (const TPZVec< STATE > &trial_stress, STATE kprev, TPZVec< STATE > &projected_stress, STATE &kproj) const

void	ProjectVertex (const TPZVec< STATE > &trial_stress, STATE kprev, TPZVec< STATE > &projected_stress, STATE &kproj) const

void	ProjectRing (const TPZVec< STATE > &trial_stress, STATE kprev, TPZVec< STATE > &projected_stress, STATE &kproj) const

void	ProjectBetaConstF2 (const TPZVec< STATE > &trial_stress, STATE kprev, TPZVec< STATE > &projected_stress, STATE &kproj) const

void	ApplyStrainComputeSigma (TPZVec< STATE > &epst, TPZVec< STATE > &epsp, STATE &kprev, TPZVec< STATE > &epspnext, TPZVec< STATE > &stressnext, STATE &knext, TPZFMatrix< REAL > *tangent=NULL) const

void	ComputeI1 (TPZVec< STATE > stress, STATE &I1) const

void	ComputeJ2 (TPZVec< STATE > stress, STATE &J2) const

void	ApplyStrainComputeElasticStress (TPZVec< STATE > &strain, TPZVec< STATE > &stress) const

void	ApplyStressComputeElasticStrain (TPZVec< STATE > &stress, TPZVec< STATE > &strain) const

void	ProjectSigma (const TPZVec< STATE > &sigmatrial, STATE kprev, TPZVec< STATE > &sigmaproj, STATE &kproj, int &m_type, TPZFMatrix< REAL > *gradient=NULL) const

void	ProjectSigmaDep (const TPZVec< STATE > &sigmatrial, STATE kprev, TPZVec< STATE > &sigmaproj, STATE &kproj, TPZFMatrix< STATE > &GradSigma) const

void	TaylorCheckDistF1 (const TPZVec< STATE > &sigmatrial, STATE xi, STATE beta, TPZVec< STATE > &xnorm, TPZVec< STATE > &errnorm) const

void	TaylorCheckDDistF1 (const TPZVec< STATE > &sigmatrial, STATE xi, STATE beta, TPZVec< STATE > &xnorm, TPZVec< STATE > &errnorm) const

void	TaylorCheckDDistF1DSigtrial (const TPZVec< STATE > &sigmatrial, STATE xi, STATE beta, TPZVec< STATE > &xnorm, TPZVec< STATE > &errnorm) const

void	TaylorCheckDistF2 (const TPZVec< STATE > &sigmatrial, STATE theta, STATE beta, STATE k, STATE kprev, TPZVec< STATE > &xnorm, TPZVec< STATE > &errnorm) const

void	TaylorCheckDDistF2 (const TPZVec< STATE > &sigmatrial, STATE theta, STATE beta, STATE k, STATE kprev, TPZVec< STATE > &xnorm, TPZVec< STATE > &errnorm) const

void	TaylorCheckDDistF2DSigtrial (const TPZVec< STATE > &sigmatrial, STATE theta, STATE beta, STATE k, STATE kprev, TPZVec< STATE > &xnorm, TPZVec< STATE > &errnorm) const
	teste da derivada D(ResF2)/D(sigtrial) More...

void	TaylorCheckDF1Cart (STATE xi, STATE beta, TPZVec< STATE > &xnorm, TPZVec< STATE > &errnorm) const

void	TaylorCheckDF2Cart (STATE theta, STATE beta, STATE k, TPZVec< STATE > &xnorm, TPZVec< STATE > &errnorm) const

void	TaylorCheckParamF1Sigtrial (const TPZVec< STATE > &sigtrial, STATE kprev, TPZVec< STATE > &xnorm, TPZVec< STATE > &errnorm) const
	verifies the validity of dxi/dsigtrial and dbeta/dsigtrial More...

void	TaylorCheckProjectF1 (const TPZVec< STATE > &sigtrial, STATE kprev, TPZVec< STATE > &xnorm, TPZVec< STATE > &errnorm) const

void	TaylorCheckDtbkDsigtrial (const TPZVec< STATE > &sigtrial, STATE kprev, TPZVec< STATE > &xnorm, TPZVec< STATE > &errnorm) const
	verify D(theta,beta,k)/D(sigtrial) More...

void	TaylorCheckProjectF2 (const TPZVec< STATE > &sigtrial, STATE kprev, TPZVec< STATE > &xnorm, TPZVec< STATE > &errnorm) const

void	ComputeCapTangent (const TPZVec< STATE > &trial_stress, STATE kprev, TPZVec< STATE > &projected_stress, STATE &kproj, TPZFMatrix< REAL > *gradient) const
	Compute the derivative of the projected stresses respect to trial stresses (tangent) over the cap. More...

void	ComputeCapVertexTangent (const TPZVec< STATE > &trial_stress, STATE kprev, TPZVec< STATE > &projected_stress, STATE &kproj, TPZFMatrix< REAL > *gradient) const
	Compute the derivative of the projected stresses respect to trial stresses (tangent) over the cap. More...

void	ComputeCapCoVertexTangent (const TPZVec< STATE > &trial_stress, STATE kprev, TPZVec< STATE > &projected_stress, STATE &kproj, TPZFMatrix< REAL > *gradient) const
	Compute the derivative of the projected stresses respect to trial stresses (tangent) over the cap. More...

void	ComputeFailureTangent (const TPZVec< STATE > &trial_stress, STATE kprev, TPZVec< STATE > &projected_stress, STATE &kproj, TPZFMatrix< REAL > *gradient) const
	Compute the derivative of the projected stresses respect to trial stresses (tangent) over the failure. More...

void	TaylorCheckProjectSigma (const TPZVec< STATE > &trial_stress, STATE kprev, TPZVec< STATE > &xnorm, TPZVec< STATE > &errnorm) const
	Compute the approximation rate for the derivative of the projected stresses respect to trial stresses. More...

void	SetUp (STATE A, STATE B, STATE C, STATE D, STATE K, STATE G, STATE W, STATE R, STATE Phi, STATE N, STATE Psi)

void	SetInitialDamage (STATE kappa_0)

STATE	A ()

void	SetA (STATE A)

STATE	B ()

void	SetB (STATE B)

STATE	C ()

void	SetC (STATE C)

STATE	D ()

STATE	W ()

STATE	K ()

STATE	R ()

STATE	G ()

STATE	E ()

STATE	N ()

STATE	Poisson ()

STATE	InitialDamage ()

STATE	Apex () const

STATE	X_0 () const

STATE	CPerturbation () const

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	ConvergenceRate (TPZVec< STATE > &xnorm, TPZVec< STATE > &errnorm, TPZVec< STATE > &convergence)

static void	CheckCoordinateTransformation (TPZVec< STATE > &cart)

static void	MCormicRanchSand (TPZSandlerExtended &mat)

static void	ReservoirSandstone (TPZSandlerExtended &mat)

static void	SalemLimestone (TPZSandlerExtended &mat)

static void	PreSMat (TPZSandlerExtended &mat)

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
STATE	ftol

Private Member Functions
template<class T >
T	X (const T k) const
	The function which defines the plastic surface. More...

template<class T >
T	EpsEqX (T X) const
	compute the damage variable as a function of the X function More...

template<class T >
T	EpsEqk (const T k) const
	Compute the damage variable as a function of the position of the cap k. More...

template<class T >
T	ResLF2 (const TPZVec< T > &pt, T theta, T beta, T k, STATE kprev) const
	Compute the residual of the equation which defines the update of the damage variable. More...

template<class T >
T	ResLF2IJ (const TPZVec< T > &sigtrIJ, T theta, T k, STATE kprev) const
	Compute the residual of the equation which defines the update of the damage variable. More...

STATE	NormalToF1 (STATE I1, STATE I1_ref) const
	Compute the normal function to the failure surface based on a reference point (I1_ref,f1(I1_ref)) More...

STATE	ResLF1 (const TPZVec< STATE > &sigtrial, const TPZVec< STATE > &sigproj, const STATE k, const STATE kprev) const
	Compute the residual of the equation which defines the update of the damage variable. More...

STATE	DistF1 (const TPZVec< STATE > &pt, const STATE xi, const STATE beta) const
	Compute the distance of sigtrial to the point on the yield surface. More...

STATE	DistF2 (const TPZVec< STATE > &pt, const STATE theta, const STATE beta, const STATE k) const
	Compute the distance of sigtrial to the point on the cap. More...

STATE	DistF2IJ (const TPZVec< STATE > &sigtrialIJ, STATE theta, STATE k) const
	Compute the distance considering the sigtrial is given as a funcion of I1, sqJ2. More...

void	DDistFunc1 (const TPZVec< STATE > &pt, STATE xi, STATE beta, TPZFMatrix< STATE > &ddistf1) const
	Compute the derivative of the distance function to the yield surface as a function of xi and beta. More...

template<class T >
void	Res1 (const TPZVec< T > &trial_stress, T i1, T beta, T k, T kprev, TPZVec< T > &residue_1) const
	Compute the derivative of the distance function to the failure function and the result of Residue 1 (failure) More...

template<class T >
void	Res2 (const TPZVec< T > &trial_stress, T theta, T beta, T k, T kprev, TPZVec< T > &residue_2) const
	Compute the derivative of the distance function to the cap function and the result of Residue 2 (Cap) More...

template<class T >
void	Res2CoVertex (const TPZVec< T > &trial_stress, T beta, T k, T kprev, TPZVec< T > &residue_covertex) const
	Compute the derivative of the distance function to the covertex cap function and the result of covertex Residue. More...

template<class T >
void	Res2Vertex (const TPZVec< T > &trial_stress, T k, T kprev, T &residue_vertex) const
	Compute the derivative of the distance function to the vertex cap function and the result of vertex Residue. More...

template<class T >
void	DDistF2IJ (TPZVec< T > &sigtrialIJ, T theta, T L, STATE Lprev, TPZVec< T > &ddistf2) const
	Compute the value of the equation which determines the orthogonality of the projection. More...

void	D2DistFunc1 (const TPZVec< STATE > &pt, STATE xi, STATE beta, TPZFMatrix< STATE > &d2distf1) const
	Compute the second derivative of the distance as a function of xi and beta. More...

void	Jacobianf1 (const TPZVec< STATE > &trial_stress, STATE i1, STATE beta, STATE k, TPZFMatrix< STATE > &jacobianf1) const
	Compute the jacobian function of the f1 (failure) distance as a function of i1, beta and k. More...

void	Jacobianf2 (const TPZVec< STATE > &trial_stress, STATE theta, STATE beta, STATE k, TPZFMatrix< STATE > &jacobianf2) const
	Compute the jacobian function of the f2 (cap) distance as a function of theta, beta and k. More...

void	Jacobianf2CoVertex (const TPZVec< STATE > &trial_stress, STATE beta, STATE k, TPZFMatrix< STATE > &jacobianf2_covertex) const
	Compute the jacobian function of the f2 (cap) distance as a function of beta and k. More...

void	Jacobianf2Vertex (const TPZVec< STATE > &trial_stress, STATE k, STATE &jacobianf2_vertex) const
	Compute the jacobian function of the vertex on f2 (cap) distance as a function of k. More...

void	JacobianVertex (const TPZVec< STATE > &trial_stress, STATE k, STATE &jacobian_vertex) const
	Compute the jacobian of the distance function to the cap vertex function and the result of Vertex residue (Cap) More...

void	JacobianCoVertex (const TPZVec< STATE > &trial_stress, STATE beta, STATE k, TPZFMatrix< STATE > &jacobian_covertex) const
	Compute the jacobian of the distance function to the cap covertex function and the result of Covertex Residue (Cap intersection with Failure) More...

void	DResLF2 (const TPZVec< STATE > &pt, STATE theta, STATE beta, STATE k, STATE kprev, TPZVec< STATE > &dresl) const
	Compute the derivative of the equation which determines the evolution of k. More...

STATE	DResLF1 (const TPZVec< STATE > &sigtrial, const TPZVec< STATE > &sigproj, const STATE k, const STATE kprev) const
	Compute the derivative of the equation which determines the evolution of k. More...

template<class T >
void	FromThetaKToSigIJ (const T &theta, const T &K, TPZVec< T > &sigIJ) const

void	DF1Cart (STATE xi, STATE beta, TPZFMatrix< STATE > &DF1) const
	Compute the derivative of the stress (principal s;tresses) as a function of xi and beta. More...

void	DF2Cart (STATE theta, STATE beta, STATE k, TPZFMatrix< STATE > &DF1) const
	Compute the derivative of the stress (principal s;tresses) as a function of xi and beta. More...

void	GradF1SigmaTrial (const TPZVec< STATE > &sigtrial, STATE xi, STATE beta, TPZFMatrix< STATE > &deriv) const
	Compute the derivative of the residual with respect to sigtrial. More...

void	GradF2SigmaTrial (const TPZVec< STATE > &sigtrial, STATE theta, STATE beta, STATE k, STATE kprev, TPZFMatrix< STATE > &deriv) const
	Compute the derivative of the F2 residual with respecto do sigtrial. More...

void	F1Cyl (STATE xi, STATE beta, TPZVec< STATE > &f1cyl) const
	Compute the point on F1 in HW Cylindrical coordinates. More...

void	F2Cyl (const STATE theta, const STATE beta, const STATE k, TPZVec< STATE > &f2cyl) const

Private Attributes
STATE	fA

STATE	fB

STATE	fC

STATE	fD

STATE	fW

STATE	fK

STATE	fR

STATE	fG

STATE	fPhi

STATE	fN

STATE	fPsi

STATE	fE

STATE	fnu

STATE	fkappa_0

TPZElasticResponse	fElasticResponse

Detailed Description

Definition at line 18 of file TPZSandlerExtended.h.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum

Enumerator
NYield

Definition at line 21 of file TPZSandlerExtended.h.

Constructor & Destructor Documentation

◆ TPZSandlerExtended() [1/3]

TPZSandlerExtended::TPZSandlerExtended	(	STATE	A,
		STATE	B,
		STATE	C,
		STATE	D,
		STATE	K,
		STATE	G,
		STATE	W,
		STATE	R,
		STATE	Phi,
		STATE	N,
		STATE	Psi,
		STATE	kappa_0
	)

Constructor, with all parameters which define the Sandler DiMaggio model.

Definition at line 46 of file TPZSandlerExtended.cpp.

References fE, fElasticResponse, fG, fK, fnu, ftol, and TPZElasticResponse::SetEngineeringData().

◆ TPZSandlerExtended() [2/3]

TPZSandlerExtended::TPZSandlerExtended ( const TPZSandlerExtended & copy )

Copy constructor.

Definition at line 27 of file TPZSandlerExtended.cpp.

References fA, fB, fC, fD, fE, fElasticResponse, fG, fK, fkappa_0, fN, fnu, fPhi, fPsi, fR, ftol, and fW.

◆ TPZSandlerExtended() [3/3]

TPZSandlerExtended::TPZSandlerExtended ( )

Empty constructor.

Definition at line 24 of file TPZSandlerExtended.cpp.

◆ ~TPZSandlerExtended()

TPZSandlerExtended::~TPZSandlerExtended ( )

virtual

Desctructor.

Definition at line 56 of file TPZSandlerExtended.cpp.

Referenced by operator=().

Member Function Documentation

◆ A()

STATE TPZSandlerExtended::A ( )

inline

Definition at line 318 of file TPZSandlerExtended.h.

References fA.

Referenced by GetNYield(), MCormicRanchSand(), PreSMat(), ReservoirSandstone(), SalemLimestone(), SetA(), and SetUp().

◆ Apex()

STATE TPZSandlerExtended::Apex ( ) const

inline

Definition at line 381 of file TPZSandlerExtended.h.

References fA, fB, fC, and log.

Referenced by ProjectApex(), and ProjectSigma().

◆ ApplyStrainComputeElasticStress()

void TPZSandlerExtended::ApplyStrainComputeElasticStress	(	TPZVec< STATE > &	strain,
		TPZVec< STATE > &	stress
	)		const

Definition at line 1699 of file TPZSandlerExtended.cpp.

References fG, and fK.

Referenced by ApplyStrainComputeSigma(), and GetNYield().

◆ ApplyStrainComputeSigma()

void TPZSandlerExtended::ApplyStrainComputeSigma	(	TPZVec< STATE > &	epst,
		TPZVec< STATE > &	epsp,
		STATE &	kprev,
		TPZVec< STATE > &	epspnext,
		TPZVec< STATE > &	stressnext,
		STATE &	knext,
		TPZFMatrix< REAL > *	tangent = `NULL`
	)		const

Imposes the specified strain tensor and returns the correspondent stress state.

Parameters

[in]	epsTotal	Imposed total strain tensor
[out]	sigma	Resultant stress

Definition at line 1735 of file TPZSandlerExtended.cpp.

References ApplyStrainComputeElasticStress(), ApplyStressComputeElasticStrain(), TPZMatrix< TVar >::Cols(), ComputeI1(), DebugStop, ProjectF1(), ProjectF2(), ProjectRing(), TPZMatrix< TVar >::Rows(), and YieldFunction().

Referenced by GetNYield().

◆ ApplyStressComputeElasticStrain()

void TPZSandlerExtended::ApplyStressComputeElasticStrain	(	TPZVec< STATE > &	stress,
		TPZVec< STATE > &	strain
	)		const

Definition at line 1714 of file TPZSandlerExtended.cpp.

References fG, and fK.

Referenced by ApplyStrainComputeSigma(), and GetNYield().

◆ B()

STATE TPZSandlerExtended::B ( )

inline

Definition at line 327 of file TPZSandlerExtended.h.

References fB.

Referenced by GetNYield(), MCormicRanchSand(), PreSMat(), ReservoirSandstone(), SalemLimestone(), SetB(), and SetUp().

◆ C()

STATE TPZSandlerExtended::C ( )

inline

Definition at line 336 of file TPZSandlerExtended.h.

References fC.

Referenced by GetNYield(), MCormicRanchSand(), PreSMat(), ReservoirSandstone(), SalemLimestone(), SetC(), and SetUp().

◆ CheckCoordinateTransformation()

void TPZSandlerExtended::CheckCoordinateTransformation ( TPZVec< STATE > & cart )

static

Definition at line 2672 of file TPZSandlerExtended.cpp.

References dist(), TPZHWTools::FromHWCylToHWCart(), TPZHWTools::FromHWCylToPrincipal(), TPZHWTools::FromPrincipalToHWCart(), and TPZHWTools::FromPrincipalToHWCyl().

Referenced by GetNYield().

◆ ClassId()

int TPZSandlerExtended::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.

Definition at line 3176 of file TPZSandlerExtended.cpp.

References Hash().

Referenced by GetNYield().

◆ ComputeCapCoVertexTangent()

void TPZSandlerExtended::ComputeCapCoVertexTangent	(	const TPZVec< STATE > &	trial_stress,
		STATE	kprev,
		TPZVec< STATE > &	projected_stress,
		STATE &	kproj,
		TPZFMatrix< REAL > *	gradient
	)		const

Compute the derivative of the projected stresses respect to trial stresses (tangent) over the cap.

Definition at line 2054 of file TPZSandlerExtended.cpp.

References TPZHWTools::A2x2Inverse(), atan2(), CG(), cos(), exp, F(), fA, fB, fC, fE, fnu, fPsi, TPZHWTools::FromPrincipalToHWCart(), TPZHWTools::FromPrincipalToHWCyl(), TPZHWTools::GetRotMatrix(), Jacobianf2CoVertex(), TPZMatrix< TVar >::Multiply(), pow(), sin, and sqrt.

Referenced by GetNYield(), and ProjectSigma().

◆ ComputeCapTangent()

void TPZSandlerExtended::ComputeCapTangent	(	const TPZVec< STATE > &	trial_stress,
		STATE	kprev,
		TPZVec< STATE > &	projected_stress,
		STATE &	kproj,
		TPZFMatrix< REAL > *	gradient
	)		const

Compute the derivative of the projected stresses respect to trial stresses (tangent) over the cap.

Definition at line 1913 of file TPZSandlerExtended.cpp.

References TPZHWTools::A3x3Inverse(), acos, atan2(), CG(), ComputeCapVertexTangent(), cos(), exp, F(), fA, fabs, fB, fC, fE, fnu, fPsi, fR, TPZHWTools::FromPrincipalToHWCart(), TPZHWTools::FromPrincipalToHWCyl(), ftol, TPZHWTools::GetRotMatrix(), Jacobianf2(), TPZMatrix< TVar >::Multiply(), pow(), sin, and sqrt.

Referenced by GetNYield(), and ProjectSigma().

◆ ComputeCapVertexTangent()

void TPZSandlerExtended::ComputeCapVertexTangent	(	const TPZVec< STATE > &	trial_stress,
		STATE	kprev,
		TPZVec< STATE > &	projected_stress,
		STATE &	kproj,
		TPZFMatrix< REAL > *	gradient
	)		const

Compute the derivative of the projected stresses respect to trial stresses (tangent) over the cap.

Definition at line 2008 of file TPZSandlerExtended.cpp.

References CG(), cos(), exp, F(), fB, fC, fE, fnu, fR, TPZHWTools::FromPrincipalToHWCart(), TPZHWTools::FromPrincipalToHWCyl(), TPZHWTools::GetRotMatrix(), Jacobianf2Vertex(), TPZMatrix< TVar >::Multiply(), and sqrt.

Referenced by ComputeCapTangent(), and GetNYield().

◆ ComputeFailureTangent()

void TPZSandlerExtended::ComputeFailureTangent	(	const TPZVec< STATE > &	trial_stress,
		STATE	kprev,
		TPZVec< STATE > &	projected_stress,
		STATE &	kproj,
		TPZFMatrix< REAL > *	gradient
	)		const

Compute the derivative of the projected stresses respect to trial stresses (tangent) over the failure.

Definition at line 2127 of file TPZSandlerExtended.cpp.

References TPZHWTools::A3x3Inverse(), atan2(), CG(), cos(), exp, F(), fA, fB, fC, fE, fnu, fPsi, TPZHWTools::FromPrincipalToHWCart(), TPZHWTools::FromPrincipalToHWCyl(), TPZHWTools::GetRotMatrix(), Jacobianf1(), TPZMatrix< TVar >::Multiply(), pow(), sin, and sqrt.

Referenced by GetNYield(), and ProjectSigma().

◆ ComputeI1()

void TPZSandlerExtended::ComputeI1	(	TPZVec< STATE >	stress,
		STATE &	I1
	)		const

Definition at line 1680 of file TPZSandlerExtended.cpp.

Referenced by ApplyStrainComputeSigma(), and GetNYield().

◆ ComputeJ2()

void TPZSandlerExtended::ComputeJ2	(	TPZVec< STATE >	stress,
		STATE &	J2
	)		const

Definition at line 1689 of file TPZSandlerExtended.cpp.

References pow().

Referenced by GetNYield().

◆ ConvergenceRate()

void TPZSandlerExtended::ConvergenceRate	(	TPZVec< STATE > &	xnorm,
		TPZVec< STATE > &	errnorm,
		TPZVec< STATE > &	convergence
	)

static

Definition at line 2566 of file TPZSandlerExtended.cpp.

References log, TPZVec< T >::resize(), and TPZVec< T >::size().

Referenced by GetNYield().

◆ CPerturbation()

STATE TPZSandlerExtended::CPerturbation ( ) const

inline

Definition at line 391 of file TPZSandlerExtended.h.

References fC, fD, fE, and fnu.

Referenced by EpsEqX(), JacobianCoVertex(), Jacobianf1(), Jacobianf2(), Jacobianf2CoVertex(), Jacobianf2Vertex(), JacobianVertex(), Res1(), Res2(), Res2CoVertex(), and Res2Vertex().

◆ D()

STATE TPZSandlerExtended::D ( )

inline

Definition at line 345 of file TPZSandlerExtended.h.

References fD.

Referenced by GetNYield(), MCormicRanchSand(), PreSMat(), ReservoirSandstone(), SalemLimestone(), and SetUp().

◆ D2DistFunc1()

void TPZSandlerExtended::D2DistFunc1	(	const TPZVec< STATE > &	pt,
		STATE	xi,
		STATE	beta,
		TPZFMatrix< STATE > &	d2distf1
	)		const

private

Compute the second derivative of the distance as a function of xi and beta.

Definition at line 505 of file TPZSandlerExtended.cpp.

References cos(), DF(), exp, F(), fB, fC, fG, fK, fPsi, TPZHWTools::FromPrincipalToHWCart(), pow(), TPZFMatrix< TVar >::Resize(), sin, and sqrt.

Referenced by GetNYield(), ProjectSigmaDep(), TaylorCheckDDistF1(), TaylorCheckParamF1Sigtrial(), and TaylorCheckProjectF1().

◆ DDistF2IJ()

template<class T >

void TPZSandlerExtended::DDistF2IJ	(	TPZVec< T > &	sigtrialIJ,
		T	theta,
		T	L,
		STATE	LPrev,
		TPZVec< T > &	ddistf2
	)		const

private

Compute the value of the equation which determines the orthogonality of the projection.

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

Definition at line 460 of file TPZSandlerExtended.cpp.

References cos(), F(), fK, fR, LOGPZ_DEBUG, ResLF2IJ(), and sin.

Referenced by GetNYield(), and ProjectSigmaDep().

◆ DDistFunc1()

void TPZSandlerExtended::DDistFunc1	(	const TPZVec< STATE > &	pt,
		STATE	xi,
		STATE	beta,
		TPZFMatrix< STATE > &	ddistf1
	)		const

private

Compute the derivative of the distance function to the yield surface as a function of xi and beta.

Definition at line 478 of file TPZSandlerExtended.cpp.

References cos(), DF(), F(), fG, fK, fPsi, TPZHWTools::FromPrincipalToHWCart(), gamma(), TPZFMatrix< TVar >::Resize(), sin, and sqrt.

Referenced by GetNYield(), TaylorCheckDDistF1(), TaylorCheckDDistF1DSigtrial(), and TaylorCheckDistF1().

◆ DF()

template<class T >

T TPZSandlerExtended::DF ( const T x ) const

Definition at line 66 of file TPZSandlerExtended.cpp.

References exp, fB, fC, and fPhi.

Referenced by D2DistFunc1(), DDistFunc1(), and GetNYield().

◆ DF1Cart()

void TPZSandlerExtended::DF1Cart	(	STATE	xi,
		STATE	beta,
		TPZFMatrix< STATE > &	DF1
	)		const

private

Compute the derivative of the stress (principal s;tresses) as a function of xi and beta.

Definition at line 2686 of file TPZSandlerExtended.cpp.

References cos(), Cos, exp, fA, fB, fC, fN, fPhi, fPsi, TPZFMatrix< TVar >::Resize(), sin, Sin, and sqrt.

Referenced by GetNYield(), ProjectSigmaDep(), TaylorCheckDF1Cart(), and TaylorCheckProjectF1().

◆ DF2Cart()

void TPZSandlerExtended::DF2Cart	(	STATE	theta,
		STATE	beta,
		STATE	k,
		TPZFMatrix< STATE > &	DF1
	)		const

private

Compute the derivative of the stress (principal s;tresses) as a function of xi and beta.

Compute the derivative of the stress (principal stresses) as a function of xi and beta.

Definition at line 2713 of file TPZSandlerExtended.cpp.

References cos(), Cos, exp, fA, fB, fC, fN, fPhi, fPsi, fR, TPZFMatrix< TVar >::Resize(), sin, Sin, and sqrt.

Referenced by GetNYield(), ProjectSigmaDep(), TaylorCheckDF2Cart(), and TaylorCheckProjectF2().

◆ DistF1()

STATE TPZSandlerExtended::DistF1	(	const TPZVec< STATE > &	pt,
		const STATE	xi,
		const STATE	beta
	)		const

private

Compute the distance of sigtrial to the point on the yield surface.

Definition at line 414 of file TPZSandlerExtended.cpp.

References F1Cyl(), fG, fK, TPZHWTools::FromHWCylToHWCart(), and TPZHWTools::FromPrincipalToHWCart().

Referenced by GetNYield(), SurfaceParamF1(), and TaylorCheckDistF1().

◆ DistF2()

STATE TPZSandlerExtended::DistF2	(	const TPZVec< STATE > &	pt,
		const STATE	theta,
		const STATE	beta,
		const STATE	k
	)		const

private

Compute the distance of sigtrial to the point on the cap.

Definition at line 426 of file TPZSandlerExtended.cpp.

References F2Cyl(), fG, fK, TPZHWTools::FromHWCylToHWCart(), and TPZHWTools::FromPrincipalToHWCart().

Referenced by GetNYield(), ProjectBetaConstF2(), ProjectRing(), SurfaceParamF2(), and TaylorCheckDistF2().

◆ DistF2IJ()

STATE TPZSandlerExtended::DistF2IJ	(	const TPZVec< STATE > &	sigtrialIJ,
		STATE	theta,
		STATE	k
	)		const

private

Compute the distance considering the sigtrial is given as a funcion of I1, sqJ2.

Definition at line 437 of file TPZSandlerExtended.cpp.

References cos(), F(), fG, fK, fR, test::res, and sin.

Referenced by GetNYield().

◆ DResLF1()

STATE TPZSandlerExtended::DResLF1	(	const TPZVec< STATE > &	sigtrial,
		const TPZVec< STATE > &	sigproj,
		const STATE	k,
		const STATE	kprev
	)		const

private

Compute the derivative of the equation which determines the evolution of k.

Definition at line 319 of file TPZSandlerExtended.cpp.

References exp, fA, fB, fC, fD, fK, fR, and fW.

Referenced by GetNYield().

◆ DResLF2()

void TPZSandlerExtended::DResLF2	(	const TPZVec< STATE > &	pt,
		STATE	theta,
		STATE	beta,
		STATE	k,
		STATE	kprev,
		TPZVec< STATE > &	dresl
	)		const

private

Compute the derivative of the equation which determines the evolution of k.

Definition at line 329 of file TPZSandlerExtended.cpp.

References cos(), exp, fA, fB, fC, fD, fK, fPhi, fR, fW, and sin.

Referenced by GetNYield().

◆ E()

STATE TPZSandlerExtended::E ( )

inline

Definition at line 365 of file TPZSandlerExtended.h.

References fE.

Referenced by MCormicRanchSand(), PreSMat(), ReservoirSandstone(), and SalemLimestone().

◆ EpsEqk()

template<class T >

T TPZSandlerExtended::EpsEqk ( const T k ) const

private

Compute the damage variable as a function of the position of the cap k.

Definition at line 172 of file TPZSandlerExtended.cpp.

References EpsEqX(), and X().

Referenced by Firstk(), GetNYield(), ResLF1(), ResLF2(), and ResLF2IJ().

◆ EpsEqX()

template<class T >

T TPZSandlerExtended::EpsEqX ( T X ) const

private

compute the damage variable as a function of the X function

Definition at line 166 of file TPZSandlerExtended.cpp.

References CPerturbation(), exp, fD, and fW.

Referenced by EpsEqk(), and GetNYield().

◆ F()

template<class T >

T TPZSandlerExtended::F ( const T x ) const

Definition at line 61 of file TPZSandlerExtended.cpp.

References exp, fA, fB, fC, and fPhi.

Referenced by ComputeCapCoVertexTangent(), ComputeCapTangent(), ComputeCapVertexTangent(), ComputeFailureTangent(), D2DistFunc1(), DDistF2IJ(), DDistFunc1(), DistF2IJ(), F1Cyl(), F2Cyl(), FromThetaKToSigIJ(), GetF(), GetNYield(), ProjectVertex(), ResLF2(), ResLF2IJ(), SurfaceParamF2(), X(), and YieldFunction().

◆ F1Cyl()

void TPZSandlerExtended::F1Cyl	(	STATE	xi,
		STATE	beta,
		TPZVec< STATE > &	f1cyl
	)		const

private

Compute the point on F1 in HW Cylindrical coordinates.

Definition at line 347 of file TPZSandlerExtended.cpp.

References F(), fPsi, gamma(), sin, and sqrt.

Referenced by DistF1(), GetNYield(), ProjectF1(), and TaylorCheckDF1Cart().

◆ F2Cyl()

void TPZSandlerExtended::F2Cyl	(	const STATE	theta,
		const STATE	beta,
		const STATE	k,
		TPZVec< STATE > &	f2cyl
	)		const

private

Definition at line 374 of file TPZSandlerExtended.cpp.

References cos(), F(), fPsi, fR, gamma(), sin, and sqrt.

Referenced by DistF2(), GetNYield(), ProjectBetaConstF2(), ProjectCapCoVertex(), ProjectCapVertex(), ProjectCoVertex(), ProjectF2(), ProjectRing(), and TaylorCheckDF2Cart().

◆ Firstk()

void TPZSandlerExtended::Firstk	(	STATE &	epsp,
		STATE &	k
	)		const

Compute k as a function of epsp using Newton iterations.

Definition at line 176 of file TPZSandlerExtended.cpp.

References EpsEqk(), exp, test::f, fA, fB, fC, fD, fR, ftol, fW, and sqrt.

Referenced by operator=().

◆ FromThetaKToSigIJ()

template<class T >

void TPZSandlerExtended::FromThetaKToSigIJ	(	const T &	theta,
		const T &	K,
		TPZVec< T > &	sigIJ
	)		const

private

Definition at line 450 of file TPZSandlerExtended.cpp.

References cos(), F(), fR, and sin.

Referenced by GetNYield(), and ProjectSigmaDep().

◆ G()

STATE TPZSandlerExtended::G ( )

inline

Definition at line 361 of file TPZSandlerExtended.h.

References fG.

Referenced by GetNYield(), MCormicRanchSand(), PreSMat(), ReservoirSandstone(), SalemLimestone(), and SetUp().

◆ GetElasticResponse() [1/2]

TPZElasticResponse TPZSandlerExtended::GetElasticResponse ( )

Definition at line 157 of file TPZSandlerExtended.cpp.

References fElasticResponse.

Referenced by operator=().

◆ GetElasticResponse() [2/2]

TPZElasticResponse TPZSandlerExtended::GetElasticResponse ( ) const

virtual

Definition at line 115 of file TPZSandlerExtended.cpp.

References fElasticResponse.

◆ GetF()

STATE TPZSandlerExtended::GetF ( STATE x ) const

Definition at line 70 of file TPZSandlerExtended.cpp.

References F().

Referenced by GetNYield().

◆ GetNYield()

virtual int TPZSandlerExtended::GetNYield ( ) const

inlineoverridevirtual

Implements TPZPlasticCriterion.

Definition at line 71 of file TPZSandlerExtended.h.

References A(), ApplyStrainComputeElasticStress(), ApplyStrainComputeSigma(), ApplyStressComputeElasticStrain(), as_integer(), B(), C(), CheckCoordinateTransformation(), ClassId(), ComputeCapCoVertexTangent(), ComputeCapTangent(), ComputeCapVertexTangent(), ComputeFailureTangent(), ComputeI1(), ComputeJ2(), ConvergenceRate(), D(), D2DistFunc1(), DDistF2IJ(), DDistFunc1(), DF(), DF1Cart(), DF2Cart(), DistF1(), DistF2(), DistF2IJ(), DResLF1(), DResLF2(), EpsEqk(), EpsEqX(), F(), F1Cyl(), F2Cyl(), FromThetaKToSigIJ(), G(), GetF(), GradF1SigmaTrial(), GradF2SigmaTrial(), InitialDamage(), JacobianCoVertex(), Jacobianf1(), Jacobianf2(), Jacobianf2CoVertex(), Jacobianf2Vertex(), JacobianVertex(), K(), MCormicRanchSand(), N(), NormalFunctionToF1(), NormalToF1(), NYield, Phi(), PreSMat(), Print(), ProjectApex(), ProjectBetaConstF2(), ProjectCapCoVertex(), ProjectCapVertex(), ProjectCoVertex(), ProjectF1(), ProjectF2(), ProjectRing(), ProjectSigma(), ProjectSigmaDep(), ProjectVertex(), R(), Read(), Res1(), Res2(), Res2CoVertex(), Res2Vertex(), ReservoirSandstone(), ResLF1(), ResLF2(), ResLF2IJ(), SalemLimestone(), SetInitialDamage(), SetUp(), SurfaceParamF1(), SurfaceParamF2(), TaylorCheckDDistF1(), TaylorCheckDDistF1DSigtrial(), TaylorCheckDDistF2(), TaylorCheckDDistF2DSigtrial(), TaylorCheckDF1Cart(), TaylorCheckDF2Cart(), TaylorCheckDistF1(), TaylorCheckDistF2(), TaylorCheckDtbkDsigtrial(), TaylorCheckParamF1Sigtrial(), TaylorCheckProjectF1(), TaylorCheckProjectF2(), TaylorCheckProjectSigma(), W(), Write(), and X().

◆ GetR()

STATE TPZSandlerExtended::GetR ( )

Definition at line 161 of file TPZSandlerExtended.cpp.

References fR.

Referenced by operator=().

◆ GetX()

STATE TPZSandlerExtended::GetX ( STATE k )

Definition at line 79 of file TPZSandlerExtended.cpp.

References X().

Referenced by operator=().

◆ GradF1SigmaTrial()

void TPZSandlerExtended::GradF1SigmaTrial	(	const TPZVec< STATE > &	sigtrial,
		STATE	xi,
		STATE	beta,
		TPZFMatrix< STATE > &	deriv
	)		const

private

Compute the derivative of the residual with respect to sigtrial.

Definition at line 2448 of file TPZSandlerExtended.cpp.

References cos(), Cos, exp, fA, fB, fC, fG, fK, fN, fPhi, fPsi, TPZFMatrix< TVar >::Redim(), sin, Sin, and sqrt.

Referenced by GetNYield(), ProjectSigmaDep(), TaylorCheckDDistF1DSigtrial(), TaylorCheckParamF1Sigtrial(), and TaylorCheckProjectF1().

◆ GradF2SigmaTrial()

void TPZSandlerExtended::GradF2SigmaTrial	(	const TPZVec< STATE > &	sigtrial,
		STATE	theta,
		STATE	beta,
		STATE	k,
		STATE	kprev,
		TPZFMatrix< STATE > &	deriv
	)		const

private

Compute the derivative of the F2 residual with respecto do sigtrial.

Compute the derivative of the F2 residual with respect to sigtrial.

Definition at line 2471 of file TPZSandlerExtended.cpp.

References cos(), Cos, exp, fA, fB, fC, fG, fK, fN, fPhi, fPsi, fR, TPZFMatrix< TVar >::Redim(), sin, Sin, and sqrt.

Referenced by GetNYield(), ProjectSigmaDep(), TaylorCheckDDistF2DSigtrial(), TaylorCheckDtbkDsigtrial(), and TaylorCheckProjectF2().

◆ InitialDamage() [1/2]

REAL TPZSandlerExtended::InitialDamage ( const TPZVec< REAL > & stress_p ) const

Compute initial damage variable from the given principal stress state.

Definition at line 210 of file TPZSandlerExtended.cpp.

References exp, test::f, fA, fabs, fB, fC, fR, ftol, IsZero(), pow(), test::res, X(), and YieldFunction().

◆ InitialDamage() [2/2]

STATE TPZSandlerExtended::InitialDamage ( )

inline

Definition at line 377 of file TPZSandlerExtended.h.

References fkappa_0.

Referenced by GetNYield().

◆ JacobianCoVertex()

void TPZSandlerExtended::JacobianCoVertex	(	const TPZVec< STATE > &	trial_stress,
		STATE	beta,
		STATE	k,
		TPZFMatrix< STATE > &	jacobian_covertex
	)		const

private

Compute the jacobian of the distance function to the cap covertex function and the result of Covertex Residue (Cap intersection with Failure)

Definition at line 977 of file TPZSandlerExtended.cpp.

References CG(), cos(), CPerturbation(), exp, fA, fB, fC, fD, fE, fnu, fPsi, fR, TPZHWTools::FromPrincipalToHWCart(), fW, pow(), TPZFMatrix< TVar >::Resize(), sin, sqrt, and X_0().

Referenced by GetNYield(), and ProjectCoVertex().

◆ Jacobianf1()

void TPZSandlerExtended::Jacobianf1	(	const TPZVec< STATE > &	trial_stress,
		STATE	i1,
		STATE	beta,
		STATE	k,
		TPZFMatrix< STATE > &	jacobianf1
	)		const

private

Compute the jacobian function of the f1 (failure) distance as a function of i1, beta and k.

Definition at line 674 of file TPZSandlerExtended.cpp.

References CG(), cos(), CPerturbation(), exp, fA, fB, fC, fD, fE, fnu, fPsi, fR, TPZHWTools::FromPrincipalToHWCart(), fW, pow(), TPZFMatrix< TVar >::Resize(), sin, sqrt, and X_0().

Referenced by ComputeFailureTangent(), GetNYield(), and ProjectF1().

◆ Jacobianf2()

void TPZSandlerExtended::Jacobianf2	(	const TPZVec< STATE > &	trial_stress,
		STATE	theta,
		STATE	beta,
		STATE	k,
		TPZFMatrix< STATE > &	jacobianf2
	)		const

private

Compute the jacobian function of the f2 (cap) distance as a function of theta, beta and k.

Definition at line 758 of file TPZSandlerExtended.cpp.

References CG(), cos(), CPerturbation(), exp, fA, fB, fC, fD, fE, fnu, fPsi, fR, TPZHWTools::FromPrincipalToHWCart(), fW, pow(), TPZFMatrix< TVar >::Resize(), sin, sqrt, and X_0().

Referenced by ComputeCapTangent(), GetNYield(), ProjectBetaConstF2(), ProjectF2(), ProjectRing(), ProjectSigmaDep(), TaylorCheckDDistF2(), TaylorCheckDtbkDsigtrial(), and TaylorCheckProjectF2().

◆ Jacobianf2CoVertex()

void TPZSandlerExtended::Jacobianf2CoVertex	(	const TPZVec< STATE > &	trial_stress,
		STATE	beta,
		STATE	k,
		TPZFMatrix< STATE > &	jacobianf2_covertex
	)		const

private

Compute the jacobian function of the f2 (cap) distance as a function of beta and k.

Definition at line 886 of file TPZSandlerExtended.cpp.

References CG(), cos(), CPerturbation(), exp, fA, fB, fC, fD, fE, fnu, fPsi, fR, TPZHWTools::FromPrincipalToHWCart(), fW, pow(), TPZFMatrix< TVar >::Resize(), sin, sqrt, and X_0().

Referenced by ComputeCapCoVertexTangent(), GetNYield(), and ProjectCapCoVertex().

◆ Jacobianf2Vertex()

void TPZSandlerExtended::Jacobianf2Vertex	(	const TPZVec< STATE > &	trial_stress,
		STATE	k,
		STATE &	jacobianf2_vertex
	)		const

private

Compute the jacobian function of the vertex on f2 (cap) distance as a function of k.

Definition at line 950 of file TPZSandlerExtended.cpp.

References cos(), CPerturbation(), exp, fA, fB, fC, fD, fE, fnu, fR, fW, and X_0().

Referenced by ComputeCapVertexTangent(), GetNYield(), and ProjectCapVertex().

◆ JacobianVertex()

void TPZSandlerExtended::JacobianVertex	(	const TPZVec< STATE > &	trial_stress,
		STATE	k,
		STATE &	jacobian_vertex
	)		const

private

Compute the jacobian of the distance function to the cap vertex function and the result of Vertex residue (Cap)

Definition at line 964 of file TPZSandlerExtended.cpp.

References CG(), cos(), CPerturbation(), exp, fA, fB, fC, fD, fE, fnu, fR, fW, and X_0().

Referenced by GetNYield(), and ProjectVertex().

◆ K()

STATE TPZSandlerExtended::K ( )

inline

Definition at line 353 of file TPZSandlerExtended.h.

References fK.

Referenced by GetNYield(), MCormicRanchSand(), PreSMat(), ProjectApex(), ReservoirSandstone(), SalemLimestone(), and SetUp().

◆ MCormicRanchSand()

void TPZSandlerExtended::MCormicRanchSand ( TPZSandlerExtended & mat )

static

Definition at line 3078 of file TPZSandlerExtended.cpp.

References A(), B(), C(), D(), E(), fA, fB, fC, fD, fE, fElasticResponse, fG, fK, fN, fnu, fPhi, fPsi, fR, fW, G(), K(), N(), R(), TPZElasticResponse::SetEngineeringData(), and W().

Referenced by GetNYield().

◆ N()

STATE TPZSandlerExtended::N ( )

inline

Definition at line 369 of file TPZSandlerExtended.h.

References fN.

Referenced by GetNYield(), MCormicRanchSand(), PreSMat(), ReservoirSandstone(), SalemLimestone(), and SetUp().

◆ NormalFunctionToF1()

STATE TPZSandlerExtended::NormalFunctionToF1	(	STATE &	I1,
		STATE &	k
	)		const

Definition at line 1123 of file TPZSandlerExtended.cpp.

References exp, fA, fB, fC, pow(), and sqrt.

Referenced by GetNYield().

◆ NormalToF1()

STATE TPZSandlerExtended::NormalToF1	(	STATE	I1,
		STATE	I1_ref
	)		const

private

Compute the normal function to the failure surface based on a reference point (I1_ref,f1(I1_ref))

Definition at line 198 of file TPZSandlerExtended.cpp.

References exp, fA, fB, fC, and pow().

Referenced by GetNYield(), and ProjectSigma().

◆ operator=()

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

inline

Definition at line 32 of file TPZSandlerExtended.h.

References fA, fB, fC, fD, fE, fElasticResponse, fG, Firstk(), fK, fkappa_0, fN, fnu, fPhi, fPsi, fR, ftol, fW, GetElasticResponse(), GetR(), GetX(), SetElasticResponse(), YieldFunction(), and ~TPZSandlerExtended().

◆ Phi()

void TPZSandlerExtended::Phi	(	TPZVec< REAL >	sigma,
		STATE	alpha,
		TPZVec< STATE > &	phi
	)		const

Definition at line 1109 of file TPZSandlerExtended.cpp.

References YieldFunction().

Referenced by GetNYield(), and SetUp().

◆ Poisson()

STATE TPZSandlerExtended::Poisson ( )

inline

Definition at line 373 of file TPZSandlerExtended.h.

References fnu.

◆ PreSMat()

void TPZSandlerExtended::PreSMat ( TPZSandlerExtended & mat )

static

Definition at line 3151 of file TPZSandlerExtended.cpp.

References A(), B(), C(), D(), E(), fA, fB, fC, fD, fE, fElasticResponse, fG, fK, fN, fnu, fPhi, fPsi, fR, fW, G(), K(), N(), R(), TPZElasticResponse::SetEngineeringData(), and W().

Referenced by GetNYield().

◆ Print()

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

overridevirtual

Reimplemented from TPZPlasticCriterion.

Definition at line 1097 of file TPZSandlerExtended.cpp.

References fA, fB, fC, fD, fkappa_0, fR, and fW.

Referenced by GetNYield().

◆ ProjectApex()

void TPZSandlerExtended::ProjectApex	(	const TPZVec< STATE > &	trial_stress,
		STATE	kprev,
		TPZVec< STATE > &	projected_stress,
		STATE &	kproj
	)		const

Definition at line 1133 of file TPZSandlerExtended.cpp.

References Apex(), fabs, fElasticResponse, ftol, TPZElasticResponse::K(), K(), test::res, and pzgeom::tol.

Referenced by GetNYield(), and ProjectSigma().

◆ ProjectBetaConstF2()

void TPZSandlerExtended::ProjectBetaConstF2	(	const TPZVec< STATE > &	trial_stress,
		STATE	kprev,
		TPZVec< STATE > &	projected_stress,
		STATE &	kproj
	)		const

Definition at line 1609 of file TPZSandlerExtended.cpp.

References DistF2(), F2Cyl(), fabs, TPZHWTools::FromHWCylToPrincipal(), ftol, Jacobianf2(), Norm(), Res2(), and TPZMatrix< TVar >::Solve_LU().

Referenced by GetNYield(), and ProjectSigmaDep().

◆ ProjectCapCoVertex()

void TPZSandlerExtended::ProjectCapCoVertex	(	const TPZVec< STATE > &	trial_stress,
		STATE	kprev,
		TPZVec< STATE > &	projected_stress,
		STATE &	kproj
	)		const

Definition at line 1468 of file TPZSandlerExtended.cpp.

References TPZHWTools::A2x2Inverse(), atan2(), F2Cyl(), fabs, TPZHWTools::FromHWCylToPrincipal(), TPZHWTools::FromPrincipalToHWCart(), TPZHWTools::FromPrincipalToHWCyl(), ftol, Jacobianf2CoVertex(), TPZMatrix< TVar >::Multiply(), Norm(), and Res2CoVertex().

Referenced by GetNYield(), and ProjectSigma().

◆ ProjectCapVertex()

void TPZSandlerExtended::ProjectCapVertex	(	const TPZVec< STATE > &	trial_stress,
		STATE	kprev,
		TPZVec< STATE > &	projected_stress,
		STATE &	kproj
	)		const

Definition at line 1422 of file TPZSandlerExtended.cpp.

References atan2(), F2Cyl(), fabs, TPZHWTools::FromHWCylToPrincipal(), TPZHWTools::FromPrincipalToHWCart(), TPZHWTools::FromPrincipalToHWCyl(), ftol, Jacobianf2Vertex(), and Res2Vertex().

Referenced by GetNYield(), and ProjectF2().

◆ ProjectCoVertex()

void TPZSandlerExtended::ProjectCoVertex	(	const TPZVec< STATE > &	trial_stress,
		STATE	kprev,
		TPZVec< STATE > &	projected_stress,
		STATE &	kproj
	)		const

Definition at line 1322 of file TPZSandlerExtended.cpp.

References TPZHWTools::A2x2Inverse(), atan2(), F2Cyl(), fabs, TPZHWTools::FromHWCylToPrincipal(), TPZHWTools::FromPrincipalToHWCart(), TPZHWTools::FromPrincipalToHWCyl(), ftol, JacobianCoVertex(), TPZMatrix< TVar >::Multiply(), Norm(), and Res2CoVertex().

Referenced by GetNYield().

◆ ProjectF1()

void TPZSandlerExtended::ProjectF1	(	const TPZVec< STATE > &	trial_stress,
		STATE	kprev,
		TPZVec< STATE > &	projected_stress,
		STATE &	kproj
	)		const

Definition at line 1181 of file TPZSandlerExtended.cpp.

References TPZHWTools::A3x3Inverse(), atan2(), F1Cyl(), fabs, TPZHWTools::FromHWCylToPrincipal(), TPZHWTools::FromPrincipalToHWCart(), TPZHWTools::FromPrincipalToHWCyl(), ftol, Jacobianf1(), LOGPZ_DEBUG, TPZMatrix< TVar >::Multiply(), Norm(), Res1(), and sqrt.

Referenced by ApplyStrainComputeSigma(), GetNYield(), ProjectSigma(), ProjectSigmaDep(), TaylorCheckParamF1Sigtrial(), and TaylorCheckProjectF1().

◆ ProjectF2()

void TPZSandlerExtended::ProjectF2	(	const TPZVec< STATE > &	trial_stress,
		STATE	kprev,
		TPZVec< STATE > &	projected_stress,
		STATE &	kproj
	)		const

Definition at line 1246 of file TPZSandlerExtended.cpp.

References TPZHWTools::A3x3Inverse(), atan2(), F2Cyl(), fabs, TPZHWTools::FromHWCylToPrincipal(), TPZHWTools::FromPrincipalToHWCart(), TPZHWTools::FromPrincipalToHWCyl(), ftol, Jacobianf2(), TPZMatrix< TVar >::Multiply(), Norm(), ProjectCapVertex(), Res2(), and sqrt.

Referenced by ApplyStrainComputeSigma(), GetNYield(), ProjectSigma(), ProjectSigmaDep(), TaylorCheckDtbkDsigtrial(), and TaylorCheckProjectF2().

◆ ProjectRing()

void TPZSandlerExtended::ProjectRing	(	const TPZVec< STATE > &	trial_stress,
		STATE	kprev,
		TPZVec< STATE > &	projected_stress,
		STATE &	kproj
	)		const

Definition at line 1523 of file TPZSandlerExtended.cpp.

References DistF2(), F2Cyl(), fabs, TPZHWTools::FromHWCylToPrincipal(), ftol, Jacobianf2(), log, LOGPZ_DEBUG, Norm(), Res2(), and TPZMatrix< TVar >::Solve_LU().

Referenced by ApplyStrainComputeSigma(), GetNYield(), and ProjectSigmaDep().

◆ ProjectSigma()

void TPZSandlerExtended::ProjectSigma	(	const TPZVec< STATE > &	sigmatrial,
		STATE	kprev,
		TPZVec< STATE > &	sigmaproj,
		STATE &	kproj,
		int &	m_type,
		TPZFMatrix< REAL > *	gradient = `NULL`
	)		const

Definition at line 1796 of file TPZSandlerExtended.cpp.

References Apex(), TPZMatrix< TVar >::Cols(), ComputeCapCoVertexTangent(), ComputeCapTangent(), ComputeFailureTangent(), DebugStop, TPZMatrix< TVar >::Identity(), IsZero(), NormalToF1(), ProjectApex(), ProjectCapCoVertex(), ProjectF1(), ProjectF2(), TPZMatrix< TVar >::Rows(), sqrt, and YieldFunction().

Referenced by GetNYield(), and TaylorCheckProjectSigma().

◆ ProjectSigmaDep()

void TPZSandlerExtended::ProjectSigmaDep	(	const TPZVec< STATE > &	sigmatrial,
		STATE	kprev,
		TPZVec< STATE > &	sigmaproj,
		STATE &	kproj,
		TPZFMatrix< STATE > &	GradSigma
	)		const

Definition at line 2211 of file TPZSandlerExtended.cpp.

References D2DistFunc1(), DDistF2IJ(), DebugStop, DF1Cart(), DF2Cart(), fabs, FromThetaKToSigIJ(), ftol, GradF1SigmaTrial(), GradF2SigmaTrial(), TPZMatrix< TVar >::Identity(), Jacobianf2(), LOGPZ_DEBUG, TPZMatrix< TVar >::Multiply(), TPZVec< T >::Print(), ProjectBetaConstF2(), ProjectF1(), ProjectF2(), ProjectRing(), SurfaceParamF1(), SurfaceParamF2(), and YieldFunction().

Referenced by GetNYield(), and TaylorCheckProjectSigma().

◆ ProjectVertex()

void TPZSandlerExtended::ProjectVertex	(	const TPZVec< STATE > &	trial_stress,
		STATE	kprev,
		TPZVec< STATE > &	projected_stress,
		STATE &	kproj
	)		const

Definition at line 1380 of file TPZSandlerExtended.cpp.

References F(), fabs, fR, TPZHWTools::FromHWCylToPrincipal(), TPZHWTools::FromPrincipalToHWCart(), TPZHWTools::FromPrincipalToHWCyl(), ftol, JacobianVertex(), Res2Vertex(), and sqrt.

Referenced by GetNYield().

◆ R()

STATE TPZSandlerExtended::R ( )

inline

Definition at line 357 of file TPZSandlerExtended.h.

References fR.

Referenced by GetNYield(), MCormicRanchSand(), PreSMat(), ReservoirSandstone(), SalemLimestone(), and SetUp().

◆ Read()

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

overridevirtual

read objects from the stream

Reimplemented from TPZSavable.

Definition at line 119 of file TPZSandlerExtended.cpp.

References fA, fB, fC, fD, fE, fElasticResponse, fG, fK, fkappa_0, fN, fnu, fPhi, fPsi, fR, ftol, fW, TPZElasticResponse::Read(), and TPZStream::Read().

Referenced by GetNYield().

◆ Res1()

template<class T >

void TPZSandlerExtended::Res1	(	const TPZVec< T > &	trial_stress,
		T	i1,
		T	beta,
		T	k,
		T	kprev,
		TPZVec< T > &	residue_1
	)		const

private

Compute the derivative of the distance function to the failure function and the result of Residue 1 (failure)

Definition at line 550 of file TPZSandlerExtended.cpp.

References CG(), cos(), CPerturbation(), exp, fA, fB, fC, fD, fE, fnu, fPsi, fR, TPZHWTools::FromPrincipalToHWCart(), fW, pow(), TPZVec< T >::Resize(), sin, sqrt, and X_0().

Referenced by GetNYield(), and ProjectF1().

◆ Res2()

template<class T >

void TPZSandlerExtended::Res2	(	const TPZVec< T > &	trial_stress,
		T	theta,
		T	beta,
		T	k,
		T	kprev,
		TPZVec< T > &	residue_2
	)		const

private

Compute the derivative of the distance function to the cap function and the result of Residue 2 (Cap)

Definition at line 586 of file TPZSandlerExtended.cpp.

References CG(), cos(), CPerturbation(), exp, fA, fB, fC, fD, fE, fnu, fPsi, fR, TPZHWTools::FromPrincipalToHWCart(), fW, pow(), TPZVec< T >::Resize(), sin, sqrt, and X_0().

Referenced by GetNYield(), ProjectBetaConstF2(), ProjectF2(), ProjectRing(), TaylorCheckDDistF2(), TaylorCheckDDistF2DSigtrial(), and TaylorCheckDistF2().

◆ Res2CoVertex()

template<class T >

void TPZSandlerExtended::Res2CoVertex	(	const TPZVec< T > &	trial_stress,
		T	beta,
		T	k,
		T	kprev,
		TPZVec< T > &	residue_covertex
	)		const

private

Compute the derivative of the distance function to the covertex cap function and the result of covertex Residue.

Definition at line 629 of file TPZSandlerExtended.cpp.

References CG(), cos(), CPerturbation(), exp, fA, fB, fC, fD, fE, fnu, fPsi, fR, TPZHWTools::FromPrincipalToHWCart(), fW, pow(), TPZVec< T >::Resize(), sin, sqrt, and X_0().

Referenced by GetNYield(), ProjectCapCoVertex(), and ProjectCoVertex().

◆ Res2Vertex()

template<class T >

void TPZSandlerExtended::Res2Vertex	(	const TPZVec< T > &	trial_stress,
		T	k,
		T	kprev,
		T &	residue_vertex
	)		const

private

Compute the derivative of the distance function to the vertex cap function and the result of vertex Residue.

Definition at line 658 of file TPZSandlerExtended.cpp.

References cos(), CPerturbation(), exp, fA, fB, fC, fD, fE, fnu, fR, TPZHWTools::FromPrincipalToHWCart(), fW, sqrt, and X_0().

Referenced by GetNYield(), ProjectCapVertex(), and ProjectVertex().

◆ ReservoirSandstone()

void TPZSandlerExtended::ReservoirSandstone ( TPZSandlerExtended & mat )

static

Definition at line 3102 of file TPZSandlerExtended.cpp.

References A(), B(), C(), D(), E(), fA, fB, fC, fD, fE, fElasticResponse, fG, fK, fN, fnu, fPhi, fPsi, fR, fW, G(), K(), N(), R(), TPZElasticResponse::SetEngineeringData(), and W().

Referenced by GetNYield().

◆ ResLF1()

STATE TPZSandlerExtended::ResLF1	(	const TPZVec< STATE > &	sigtrial,
		const TPZVec< STATE > &	sigproj,
		const STATE	k,
		const STATE	kprev
	)		const

private

Compute the residual of the equation which defines the update of the damage variable.

Definition at line 308 of file TPZSandlerExtended.cpp.

References EpsEqk(), and fK.

Referenced by GetNYield().

◆ ResLF2()

template<class T >

T TPZSandlerExtended::ResLF2	(	const TPZVec< T > &	pt,
		T	theta,
		T	beta,
		T	k,
		STATE	kprev
	)		const

private

Compute the residual of the equation which defines the update of the damage variable.

Definition at line 290 of file TPZSandlerExtended.cpp.

References cos(), EpsEqk(), F(), fK, and fR.

Referenced by GetNYield().

◆ ResLF2IJ()

template<class T >

T TPZSandlerExtended::ResLF2IJ	(	const TPZVec< T > &	sigtrIJ,
		T	theta,
		T	k,
		STATE	kprev
	)		const

private

Compute the residual of the equation which defines the update of the damage variable.

Definition at line 298 of file TPZSandlerExtended.cpp.

References cos(), EpsEqk(), F(), fK, and fR.

Referenced by DDistF2IJ(), and GetNYield().

◆ SalemLimestone()

void TPZSandlerExtended::SalemLimestone ( TPZSandlerExtended & mat )

static

Definition at line 3127 of file TPZSandlerExtended.cpp.

References A(), B(), C(), D(), E(), fA, fB, fC, fD, fE, fElasticResponse, fG, fK, fN, fnu, fPhi, fPsi, fR, fW, G(), K(), N(), R(), TPZElasticResponse::SetEngineeringData(), and W().

Referenced by GetNYield().

◆ SetA()

void TPZSandlerExtended::SetA ( STATE A )

inline

Definition at line 322 of file TPZSandlerExtended.h.

References A(), and fA.

◆ SetB()

void TPZSandlerExtended::SetB ( STATE B )

inline

Definition at line 331 of file TPZSandlerExtended.h.

References B(), and fB.

◆ SetC()

void TPZSandlerExtended::SetC ( STATE C )

inline

Definition at line 340 of file TPZSandlerExtended.h.

References C(), and fC.

◆ SetElasticResponse()

void TPZSandlerExtended::SetElasticResponse ( const TPZElasticResponse & ER )

Definition at line 107 of file TPZSandlerExtended.cpp.

References TPZElasticResponse::E(), fE, fElasticResponse, fG, fK, fnu, TPZElasticResponse::G(), TPZElasticResponse::K(), and TPZElasticResponse::Poisson().

Referenced by operator=().

◆ SetInitialDamage()

void TPZSandlerExtended::SetInitialDamage ( STATE kappa_0 )

Definition at line 103 of file TPZSandlerExtended.cpp.

References fkappa_0.

Referenced by GetNYield().

◆ SetUp()

void TPZSandlerExtended::SetUp	(	STATE	A,
		STATE	B,
		STATE	C,
		STATE	D,
		STATE	K,
		STATE	G,
		STATE	W,
		STATE	R,
		STATE	Phi,
		STATE	N,
		STATE	Psi
	)

Definition at line 83 of file TPZSandlerExtended.cpp.

References A(), B(), C(), D(), fA, fB, fC, fD, fE, fElasticResponse, fG, fK, fN, fnu, fPhi, fPsi, fR, fW, G(), K(), N(), Phi(), R(), TPZElasticResponse::SetEngineeringData(), and W().

Referenced by GetNYield().

◆ SurfaceParamF1()

void TPZSandlerExtended::SurfaceParamF1	(	TPZVec< STATE > &	sigproj,
		STATE &	xi,
		STATE &	beta
	)		const

Definition at line 361 of file TPZSandlerExtended.cpp.

References DebugStop, dist(), DistF1(), fabs, TPZHWTools::FromPrincipalToHWCyl(), and ftol.

Referenced by GetNYield(), ProjectSigmaDep(), TaylorCheckParamF1Sigtrial(), and TaylorCheckProjectF1().

◆ SurfaceParamF2()

void TPZSandlerExtended::SurfaceParamF2	(	const TPZVec< STATE > &	sigproj,
		const STATE	k,
		STATE &	theta,
		STATE &	beta
	)		const

Definition at line 389 of file TPZSandlerExtended.cpp.

References atan2(), DebugStop, dist(), DistF2(), F(), fabs, fN, fPsi, fR, TPZHWTools::FromPrincipalToHWCyl(), ftol, gamma(), sin, and sqrt.

Referenced by GetNYield(), ProjectSigmaDep(), TaylorCheckDtbkDsigtrial(), and TaylorCheckProjectF2().

◆ TaylorCheckDDistF1()

void TPZSandlerExtended::TaylorCheckDDistF1	(	const TPZVec< STATE > &	sigmatrial,
		STATE	xi,
		STATE	beta,
		TPZVec< STATE > &	xnorm,
		TPZVec< STATE > &	errnorm
	)		const

Definition at line 2515 of file TPZSandlerExtended.cpp.

References D2DistFunc1(), DDistFunc1(), TPZMatrix< TVar >::Multiply(), Norm(), and TPZVec< T >::resize().

Referenced by GetNYield().

◆ TaylorCheckDDistF1DSigtrial()

void TPZSandlerExtended::TaylorCheckDDistF1DSigtrial	(	const TPZVec< STATE > &	sigmatrial,
		STATE	xi,
		STATE	beta,
		TPZVec< STATE > &	xnorm,
		TPZVec< STATE > &	errnorm
	)		const

Definition at line 2541 of file TPZSandlerExtended.cpp.

References DDistFunc1(), GradF1SigmaTrial(), TPZMatrix< TVar >::Multiply(), Norm(), and TPZVec< T >::resize().

Referenced by GetNYield().

◆ TaylorCheckDDistF2()

void TPZSandlerExtended::TaylorCheckDDistF2	(	const TPZVec< STATE > &	sigmatrial,
		STATE	theta,
		STATE	beta,
		STATE	k,
		STATE	kprev,
		TPZVec< STATE > &	xnorm,
		TPZVec< STATE > &	errnorm
	)		const

Definition at line 2601 of file TPZSandlerExtended.cpp.

References Jacobianf2(), TPZMatrix< TVar >::Multiply(), Norm(), Res2(), and TPZVec< T >::resize().

Referenced by GetNYield().

◆ TaylorCheckDDistF2DSigtrial()

void TPZSandlerExtended::TaylorCheckDDistF2DSigtrial	(	const TPZVec< STATE > &	sigmatrial,
		STATE	theta,
		STATE	beta,
		STATE	k,
		STATE	kprev,
		TPZVec< STATE > &	xnorm,
		TPZVec< STATE > &	errnorm
	)		const

teste da derivada D(ResF2)/D(sigtrial)

Definition at line 2639 of file TPZSandlerExtended.cpp.

References GradF2SigmaTrial(), TPZMatrix< TVar >::Multiply(), Norm(), Res2(), and TPZVec< T >::resize().

Referenced by GetNYield().

◆ TaylorCheckDF1Cart()

void TPZSandlerExtended::TaylorCheckDF1Cart	(	STATE	xi,
		STATE	beta,
		TPZVec< STATE > &	xnorm,
		TPZVec< STATE > &	errnorm
	)		const

Definition at line 2737 of file TPZSandlerExtended.cpp.

References DF1Cart(), F1Cyl(), TPZHWTools::FromHWCylToPrincipal(), TPZMatrix< TVar >::Multiply(), Norm(), and TPZVec< T >::resize().

Referenced by GetNYield().

◆ TaylorCheckDF2Cart()

void TPZSandlerExtended::TaylorCheckDF2Cart	(	STATE	theta,
		STATE	beta,
		STATE	k,
		TPZVec< STATE > &	xnorm,
		TPZVec< STATE > &	errnorm
	)		const

Definition at line 2770 of file TPZSandlerExtended.cpp.

References DF2Cart(), F2Cyl(), TPZHWTools::FromHWCylToPrincipal(), TPZMatrix< TVar >::Multiply(), Norm(), and TPZVec< T >::resize().

Referenced by GetNYield().

◆ TaylorCheckDistF1()

void TPZSandlerExtended::TaylorCheckDistF1	(	const TPZVec< STATE > &	sigmatrial,
		STATE	xi,
		STATE	beta,
		TPZVec< STATE > &	xnorm,
		TPZVec< STATE > &	errnorm
	)		const

Set of methods to verify if the tangent matrices are computed correctly

Definition at line 2493 of file TPZSandlerExtended.cpp.

References DDistFunc1(), DistF1(), fabs, TPZVec< T >::resize(), and sqrt.

Referenced by GetNYield().

◆ TaylorCheckDistF2()

void TPZSandlerExtended::TaylorCheckDistF2	(	const TPZVec< STATE > &	sigmatrial,
		STATE	theta,
		STATE	beta,
		STATE	k,
		STATE	kprev,
		TPZVec< STATE > &	xnorm,
		TPZVec< STATE > &	errnorm
	)		const

Definition at line 2573 of file TPZSandlerExtended.cpp.

References DistF2(), fabs, Res2(), TPZVec< T >::resize(), and sqrt.

Referenced by GetNYield().

◆ TaylorCheckDtbkDsigtrial()

void TPZSandlerExtended::TaylorCheckDtbkDsigtrial	(	const TPZVec< STATE > &	sigtrial,
		STATE	kprev,
		TPZVec< STATE > &	xnorm,
		TPZVec< STATE > &	errnorm
	)		const

verify D(theta,beta,k)/D(sigtrial)

Definition at line 2987 of file TPZSandlerExtended.cpp.

References fabs, GradF2SigmaTrial(), Jacobianf2(), m, Norm(), TPZMatrix< TVar >::Print(), ProjectF2(), TPZVec< T >::resize(), TPZMatrix< TVar >::Solve_LU(), and SurfaceParamF2().

Referenced by GetNYield().

◆ TaylorCheckParamF1Sigtrial()

void TPZSandlerExtended::TaylorCheckParamF1Sigtrial	(	const TPZVec< STATE > &	sigtrial,
		STATE	kprev,
		TPZVec< STATE > &	xnorm,
		TPZVec< STATE > &	errnorm
	)		const

verifies the validity of dxi/dsigtrial and dbeta/dsigtrial

Definition at line 2842 of file TPZSandlerExtended.cpp.

References D2DistFunc1(), GradF1SigmaTrial(), Norm(), ProjectF1(), TPZVec< T >::resize(), and SurfaceParamF1().

Referenced by GetNYield().

◆ TaylorCheckProjectF1()

void TPZSandlerExtended::TaylorCheckProjectF1	(	const TPZVec< STATE > &	sigtrial,
		STATE	kprev,
		TPZVec< STATE > &	xnorm,
		TPZVec< STATE > &	errnorm
	)		const

Definition at line 2880 of file TPZSandlerExtended.cpp.

References D2DistFunc1(), DF1Cart(), GradF1SigmaTrial(), Norm(), ProjectF1(), TPZVec< T >::resize(), and SurfaceParamF1().

Referenced by GetNYield().

◆ TaylorCheckProjectF2()

void TPZSandlerExtended::TaylorCheckProjectF2	(	const TPZVec< STATE > &	sigtrial,
		STATE	kprev,
		TPZVec< STATE > &	xnorm,
		TPZVec< STATE > &	errnorm
	)		const

Definition at line 2924 of file TPZSandlerExtended.cpp.

References DF2Cart(), GradF2SigmaTrial(), Jacobianf2(), m, Norm(), ProjectF2(), TPZVec< T >::resize(), and SurfaceParamF2().

Referenced by GetNYield().

◆ TaylorCheckProjectSigma()

void TPZSandlerExtended::TaylorCheckProjectSigma	(	const TPZVec< STATE > &	trial_stress,
		STATE	kprev,
		TPZVec< STATE > &	xnorm,
		TPZVec< STATE > &	errnorm
	)		const