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TPZTensor< T > Class Template Reference

#include <TPZTensor.h>

Inheritance diagram for TPZTensor< T >:
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Collaboration diagram for TPZTensor< T >:
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Classes

struct  TPZDecomposed
 

Public Member Functions

 TPZTensor ()
 
 TPZTensor (const T &Init)
 
 TPZTensor (const TPZTensor< T > &source)
 
 TPZTensor (const TPZDecomposed &eigensystem)
 
int ClassId () const override
 Define the class id associated with the class. More...
 
void Write (TPZStream &buf, int withclassid) const override
 Method to write to a pzstream. More...
 
void Read (TPZStream &buf, void *context) override
 Method to read the object from a pzstream. More...
 
 operator TPZFMatrix< T > () const
 
 TPZTensor (const TPZFMatrix< T > &input)
 
void Print (std::ostream &out) const
 
const TPZTensor< T > & operator= (const TPZTensor< T > &source)
 
const TPZTensor< T > & operator+= (const TPZTensor< T > &source)
 
const TPZTensor< T > & operator-= (const TPZTensor< T > &source)
 
const TPZTensor< T > & operator*= (const T &multipl)
 
TPZTensor< T > operator+ (const TPZTensor< T > &source) const
 
TPZTensor< T > operator- (const TPZTensor< T > &source) const
 
TPZTensor< T > operator* (const T &multipl) const
 
T & operator() (const int64_t row, const int64_t col)
 
T & operator() (const int64_t row, const int64_t col) const
 
template<class TBASE >
void Identity_T (TBASE &)
 
void Identity ()
 
template<class T1 , class T2 >
void Add (const TPZTensor< T1 > &tensor, const T2 &constant)
 
template<class T1 , class T2 >
void Multiply (const T1 &multipl, const T2 &constant)
 
void Multiply (const TPZTensor< T > tensor, TPZTensor< T > &resp) const
 
template<class T2 >
void Scale (const T2 &constant)
 
void Zero ()
 
void EigenVector (TPZVec< TPZVec< T > > &eigVec) const
 
T J2 () const
 
void dJ2 (TPZTensor< T > &Tangent) const
 
T Det () const
 
void dDet (TPZTensor< T > &grad) const
 
T I1 () const
 
T I2 () const
 
T I3 () const
 
T Norm () const
 
void S (TPZTensor< T > &s) const
 
T J3 () const
 
void dJ3 (TPZTensor< T > &deriv) const
 
void Adjust (TPZVec< T > &sigIJ, TPZTensor< T > &result) const
 adjust the tensor to the given values of I1 and sqj2 More...
 
void HaighWestergaard (T &LodeAngle, T &qsi, T &rho) const
 
void HaighWestergaard (T &LodeAngle, T &qsi, T &rho, TPZTensor< T > &dLodeAngle, TPZTensor< T > &dQsi, TPZTensor< T > &dRho) const
 
void ComputeEigenvalues (TPZDecomposed &eigensystem, const bool compute_eigenvectors=false) const
 
void Eigenvalue (TPZTensor< T > &eigenval, TPZTensor< T > &dSigma1, TPZTensor< T > &dSigma2, TPZTensor< T > &dSigma3) const
 
void Lodeangle (TPZTensor< T > &GradLode, T &Lode) const
 
bool IsZeroTensor (T tol=1.e-9) const
 
bool IsDiagonal (T tol=1.e-9) const
 
void EigenSystem (TPZDecomposed &eigensystem) const
 
void EigenSystemJacobi (TPZDecomposed &eigensystem) const
 
T & XX () const
 
T & XY () const
 
T & XZ () const
 
T & YY () const
 
T & YZ () const
 
T & ZZ () const
 
T & operator[] (int i) const
 
template<class T1 >
void CopyTo (TPZTensor< T1 > &target) const
 
void CopyTo (TPZFMatrix< REAL > &target) const
 
void CopyFrom (const TPZFMatrix< T > &source)
 
void CopyToTensor (TPZFMatrix< T > &Tensor) const
 
void SetUp (const TPZVec< REAL > &Solution)
 
void ComputeEigenvectors (TPZDecomposed &eigensystem) const
 
template<>
void Print (std::ostream &output) const
 
template<>
void Print (std::ostream &output) 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
 

Public Attributes

TPZManVector< T, 6 > fData
 

Protected Member Functions

bool AreEqual (const T &val1, const T &val2, const T tol=T(1.e-9)) const
 
void DirectEigenValues (TPZDecomposed &eigensystem, bool compute_eigenvectors) const
 
void Precondition (REAL &conditionFactor, TPZTensor< T > &A, TPZDecomposed &decomposition) const
 
void ComputeEigenvector0 (const T &eigenvalue, TPZManVector< T, 3 > &eigenvector) const
 
void ComputeEigenvector1 (const TPZManVector< T, 3 > &eigenvector0, const T &eigenvalue1, TPZManVector< T, 3 > &eigenvector1) const
 
void ComputeEigenvectorsInternal (TPZDecomposed &eigensystem) const
 
void EigenProjection (const TPZVec< T > &EigenVals, int index, const TPZVec< int > &DistinctEigenvalues, TPZTensor< T > &Ei) const
 

Static Protected Member Functions

static bool IsZeroVal (const T &val, T tol=1.e-9)
 

Private Member Functions

template<class TBASE >
void DeviatoricDiagonal_T (TPZVec< T > &vec) const
 
void DeviatoricDiagonal (TPZVec< T > &vec) const
 

Additional Inherited Members

- 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)
 

Detailed Description

template<class T>
class TPZTensor< T >

Classe que implementa o comportamento de um tensor simetrico

Definition at line 42 of file TPZTensor.h.

Constructor & Destructor Documentation

◆ TPZTensor() [1/5]

template<class T>
TPZTensor< T >::TPZTensor ( )
inline

Construtor vazio inicializando com zero

Definition at line 245 of file TPZTensor.h.

◆ TPZTensor() [2/5]

template<class T>
TPZTensor< T >::TPZTensor ( const T &  Init)
inline

Construtor inicializando com Init

Definition at line 251 of file TPZTensor.h.

◆ TPZTensor() [3/5]

template<class T>
TPZTensor< T >::TPZTensor ( const TPZTensor< T > &  source)
inline

Copy Constructor

Definition at line 257 of file TPZTensor.h.

◆ TPZTensor() [4/5]

template<class T>
TPZTensor< T >::TPZTensor ( const TPZDecomposed &  eigensystem)
inline

Construct a tensor based on its eigensystem decomposition

Definition at line 263 of file TPZTensor.h.

◆ TPZTensor() [5/5]

template<class T>
TPZTensor< T >::TPZTensor ( const TPZFMatrix< T > &  input)
inline

Definition at line 296 of file TPZTensor.h.

Member Function Documentation

◆ Add()

template<class T >
template<class T1 , class T2 >
void TPZTensor< T >::Add ( const TPZTensor< T1 > &  tensor,
const T2 &  constant 
)

Adiciona um tensor no tensor atual

Parameters
[in]tensortensor sendo adicionado
[in]constantfator multiplicativo

Definition at line 757 of file TPZTensor.h.

Referenced by TPZMatElastoPlastic< T, TMEM >::ApplyDeltaStrain(), TPZMatElastoPlastic< T, TMEM >::ApplyDeltaStrainComputeDep(), TPZLadeNelsonElasticResponse::ApplyElasticTensor(), TPZPlasticStepPV< YC_t, ER_t >::ApplyLoad(), TPZLadeKim::ApplyLoad(), TPZLadeKim::ApplyStrain(), TPZLadeKim::ApplyStrainComputeDep(), TPZLadeKim::ApplyStrainComputeSigma(), TPZMohrCoulombNeto::CommitDeformation(), TPZMohrCoulombPV::CommitDeformation(), TPZPlasticStep< YC_t, TF_t, ER_t >::ComputePlasticVars(), TPZElasticResponse::ComputeStrain(), TPZElasticResponse::ComputeStress(), TPZPorousElasticResponse::ComputeStress(), TPZTensor< STATE >::EigenSystem(), TPZPlasticStep< YC_t, TF_t, ER_t >::FindPointAtYield(), TPZPlasticTest::GlobalCheckConv(), TPZYCTresca::GradInverseAngle(), TPZYCSandlerDimaggioL2::InitialGuess(), TPZYCSandlerDimaggioL::InitialGuess(), TPZYCSandlerDimaggio::InitialGuess(), TPZPlasticStep< YC_t, TF_t, ER_t >::InitialGuess(), TPZTensor< STATE >::Lodeangle(), TPZYCTresca::N(), TPZYCWillamWarnke::N(), TPZYCModifiedMohrCoulomb::N(), TPZTensor< STATE >::operator()(), TPZLadeKim::Phi(), TPZPlasticStep< YC_t, TF_t, ER_t >::PlasticIntegrate(), TPZPlasticStep< YC_t, TF_t, ER_t >::PlasticLoop(), TPZPlasticStep< YC_t, TF_t, ER_t >::PlasticResidual(), TPZPlasticStep< YC_t, TF_t, ER_t >::PlasticResidualRK(), TPZPlasticStep< YC_t, TF_t, ER_t >::ProcessStrain(), TPZPlasticStep< YC_t, TF_t, ER_t >::ProcessStrainNoSubIncrement(), TPZMohrCoulombPV::SigmaElast(), TPZMohrCoulombNeto::SigmaElast(), TPZPlasticStepPV< YC_t, ER_t >::TaylorCheck(), and TPZTensor< STATE >::TPZTensor().

◆ Adjust()

template<class T>
void TPZTensor< T >::Adjust ( TPZVec< T > &  sigIJ,
TPZTensor< T > &  result 
) const
inline

adjust the tensor to the given values of I1 and sqj2

Definition at line 490 of file TPZTensor.h.

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

◆ AreEqual()

template<class T>
bool TPZTensor< T >::AreEqual ( const T &  val1,
const T &  val2,
const T  tol = T(1.e-9) 
) const
inlineprotected

Definition at line 660 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::ComputeEigenvalues(), TPZTensor< STATE >::ComputeEigenvectors(), TPZTensor< STATE >::EigenProjection(), TPZTensor< STATE >::EigenSystem(), and TPZTensor< STATE >::EigenSystemJacobi().

◆ ClassId()

template<class T>
int TPZTensor< T >::ClassId ( ) const
inlineoverridevirtual

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 275 of file TPZTensor.h.

◆ ComputeEigenvalues()

template<class T >
void TPZTensor< T >::ComputeEigenvalues ( TPZDecomposed &  eigensystem,
const bool  compute_eigenvectors = false 
) const

Definition at line 1122 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::Adjust(), and TPZTensor< STATE >::ComputeEigenvectors().

◆ ComputeEigenvector0()

template<class T>
void TPZTensor< T >::ComputeEigenvector0 ( const T &  eigenvalue,
TPZManVector< T, 3 > &  eigenvector 
) const
protected

Definition at line 1410 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::AreEqual(), and TPZTensor< STATE >::ComputeEigenvectorsInternal().

◆ ComputeEigenvector1()

template<class T>
void TPZTensor< T >::ComputeEigenvector1 ( const TPZManVector< T, 3 > &  eigenvector0,
const T &  eigenvalue1,
TPZManVector< T, 3 > &  eigenvector1 
) const
protected

Definition at line 1466 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::AreEqual(), and TPZTensor< STATE >::ComputeEigenvectorsInternal().

◆ ComputeEigenvectors()

template<class T >
void TPZTensor< T >::ComputeEigenvectors ( TPZDecomposed &  eigensystem) const

Updates the eigen decomposition object, filling the eigenvectors.

Computes the eigen projections if it wasn't done yet.

Parameters
decomposed

Definition at line 1321 of file TPZTensor.h.

Referenced by TPZPlasticStepPV< YC_t, ER_t >::ApplyStrainComputeDep(), TPZTensor< STATE >::EigenSystem(), and TPZTensor< STATE >::operator[]().

◆ ComputeEigenvectorsInternal()

template<class T >
void TPZTensor< T >::ComputeEigenvectorsInternal ( TPZDecomposed &  eigensystem) const
protected

Definition at line 1569 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::AreEqual(), TPZTensor< STATE >::ComputeEigenvectors(), and TPZTensor< STATE >::DirectEigenValues().

◆ CopyFrom()

template<class T>
void TPZTensor< T >::CopyFrom ( const TPZFMatrix< T > &  source)

Copia os valores do vetor para o tensor Derivadas sao zeradas

Parameters
[in]sourceonde os valores serao copiados

Definition at line 833 of file TPZTensor.h.

Referenced by TPZMatElastoPlastic< T, TMEM >::ApplyDeltaStrain(), TPZMatElastoPlastic< T, TMEM >::ApplyDeltaStrainComputeDep(), TPZMatElastoPlastic< T, TMEM >::CheckConvergence(), TPZPorousElasticResponse::ComputeStrain(), TPZTensor< STATE >::operator[](), and TPZMatElastoPlastic< T, TMEM >::vectorToTensor().

◆ CopyTo() [1/2]

template<class T >
template<class T1 >
void TPZTensor< T >::CopyTo ( TPZTensor< T1 > &  target) const

Copia os valores do tensor no tensor indicado Derivadas sao decartadas

Parameters
[out]targetonde os valores serao copiados

Definition at line 819 of file TPZTensor.h.

Referenced by TPZMatElastoPlastic< T, TMEM >::ApplyDeltaStrain(), TPZMatElastoPlastic< T, TMEM >::ApplyDeltaStrainComputeDep(), TPZPlasticStep< YC_t, TF_t, ER_t >::ComputeDep(), TPZPorousElasticResponse::ComputeStrain(), TPZLadeNelsonElasticResponse::ComputeStress(), TPZLadeNelsonElasticResponse::ComputeTangent(), TPZYCLadeKim::ComputeTangent(), TPZYCSandlerDimaggio::ComputeTangent(), TPZPlasticStep< YC_t, TF_t, ER_t >::FindPointAtYield(), TPZPlasticTest::LoadTest(), TPZTensor< STATE >::operator[](), TPZPlasticTest::ReciprocityTest(), TPZLadeNelsonElasticResponse::Residual(), and TPZPlasticTest::UndocumentedTest4().

◆ CopyTo() [2/2]

template<class T >
void TPZTensor< T >::CopyTo ( TPZFMatrix< REAL > &  target) const

Copia os valores do tensor no vetor indicado Derivadas sao decartadas

Parameters
[out]targetonde os valores serao copiados

Definition at line 826 of file TPZTensor.h.

◆ CopyToTensor()

template<class T>
void TPZTensor< T >::CopyToTensor ( TPZFMatrix< T > &  Tensor) const

Converts the stress vector onto a symmetric stress tensor

Parameters
Tensor[out]

Definition at line 988 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::EigenProjection(), TPZTensor< STATE >::operator[](), and TPZMatElastoPlastic< T, TMEM >::vectorToTensor().

◆ dDet()

template<class T>
void TPZTensor< T >::dDet ( TPZTensor< T > &  grad) const

Metodo que calcula o determinante do tensor

Metodo que calcula a derivada do determinante do tensor

Definition at line 884 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::operator()().

◆ Det()

template<class T >
T TPZTensor< T >::Det ( ) const

Metodo que calcula o determinante do tensor

Definition at line 875 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::J3(), and TPZTensor< STATE >::operator()().

◆ DeviatoricDiagonal()

template<class T>
void TPZTensor< T >::DeviatoricDiagonal ( TPZVec< T > &  vec) const
private

Definition at line 849 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::operator[]().

◆ DeviatoricDiagonal_T()

template<class T>
template<class TBASE >
void TPZTensor< T >::DeviatoricDiagonal_T ( TPZVec< T > &  vec) const
private

Metodo que calcula a diagonal do tensor deviatorico

Parameters
[out]vecdiagonal

Definition at line 841 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::operator[]().

◆ DirectEigenValues()

template<class T >
void TPZTensor< T >::DirectEigenValues ( TPZDecomposed &  eigensystem,
bool  compute_eigenvectors 
) const
protected

Returns the tensor eigenvalues through an analytical approach

Definition at line 1612 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::AreEqual(), and TPZTensor< STATE >::ComputeEigenvalues().

◆ dJ2()

template<class T>
void TPZTensor< T >::dJ2 ( TPZTensor< T > &  Tangent) const

Metodo que calcula a derivada de J2

Definition at line 935 of file TPZTensor.h.

Referenced by TPZYCWillamWarnke::Compute(), TPZYCVonMises::ComputeTangent(), TPZYCTresca::ComputeTangent(), TPZYCDruckerPrager::ComputeTangent(), TPZTensor< STATE >::Eigenvalue(), TPZYCTresca::GradInverseAngle(), TPZTensor< STATE >::Lodeangle(), TPZYCTrescaRegularized::N(), TPZYCTresca::N(), TPZYCVonMises::N(), TPZYCWillamWarnke::N(), TPZYCDruckerPrager::N(), and TPZTensor< STATE >::operator()().

◆ dJ3()

template<class T>
void TPZTensor< T >::dJ3 ( TPZTensor< T > &  deriv) const

The derivative of the 3rd invariant of deviatoric tensor

Definition at line 956 of file TPZTensor.h.

Referenced by TPZYCWillamWarnke::Compute(), TPZYCTresca::ComputeTangent(), TPZTensor< STATE >::Eigenvalue(), TPZYCTresca::GradInverseAngle(), TPZTensor< STATE >::Lodeangle(), TPZYCWillamWarnke::N(), and TPZTensor< STATE >::operator()().

◆ EigenProjection()

template<class T>
void TPZTensor< T >::EigenProjection ( const TPZVec< T > &  EigenVals,
int  index,
const TPZVec< int > &  DistinctEigenvalues,
TPZTensor< T > &  Ei 
) const
protected

Computes the eigenprojections and eigenvalues based on the Geometric Tools code. https://www.geometrictools.com/

Definition at line 1381 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::AreEqual().

◆ EigenSystem()

template<class T >
void TPZTensor< T >::EigenSystem ( TPZDecomposed &  eigensystem) const

Computes the eigenvectors and eigenvalues based on the Geometric Tools code. https://www.geometrictools.com/

Definition at line 1265 of file TPZTensor.h.

Referenced by TPZPlasticStepPV< YC_t, ER_t >::ApplyStrainComputeDep(), TPZPlasticStepPV< YC_t, ER_t >::ApplyStrainComputeSigma(), TPZPlasticStepPV< YC_t, ER_t >::ApplyStressComputeStrain(), TPZPlasticStepPV< YC_t, ER_t >::InitialDamage(), TPZTensor< STATE >::IsDiagonal(), TPZPlasticStepPV< YC_t, ER_t >::Phi(), TPZMohrCoulombNeto::SigmaTrial(), TPZMohrCoulombPV::SigmaTrial(), TPZMatElastoPlastic< T, TMEM >::Solution(), and TPZTensor< T >::TPZDecomposed::TPZDecomposed().

◆ EigenSystemJacobi()

template<class T >
void TPZTensor< T >::EigenSystemJacobi ( TPZDecomposed &  eigensystem) const

Computes the eigenvectors and eigenvalues based on Jacobi method

Definition at line 1018 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::IsDiagonal().

◆ Eigenvalue()

template<class T>
void TPZTensor< T >::Eigenvalue ( TPZTensor< T > &  eigenval,
TPZTensor< T > &  dSigma1,
TPZTensor< T > &  dSigma2,
TPZTensor< T > &  dSigma3 
) const

Returns the tensor eigenvalues and derivatives through an analytical approach

Definition at line 1744 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::Adjust(), TPZYCWillamWarnke::Compute(), TPZYCModifiedMohrCoulomb::Compute(), TPZYCModifiedMohrCoulomb::N(), and TPZPlasticTest::WillamWarnkeTest().

◆ EigenVector()

template<class T>
void TPZTensor< T >::EigenVector ( TPZVec< TPZVec< T > > &  eigVec) const

Metodo que calcula os autovetores to tensor

Parameters
[out]eigVecautovetores

Referenced by TPZTensor< STATE >::operator()().

◆ HaighWestergaard() [1/2]

template<class T>
void TPZTensor< T >::HaighWestergaard ( T &  LodeAngle,
T &  qsi,
T &  rho 
) const

Returns the Haigh-Westergaard stress representation

Referenced by TPZTensor< STATE >::Adjust().

◆ HaighWestergaard() [2/2]

template<class T>
void TPZTensor< T >::HaighWestergaard ( T &  LodeAngle,
T &  qsi,
T &  rho,
TPZTensor< T > &  dLodeAngle,
TPZTensor< T > &  dQsi,
TPZTensor< T > &  dRho 
) const

Returns the Haigh-Westergaard stress representation and derivatives

◆ I1()

template<class T >
T TPZTensor< T >::I1 ( ) const

Metodo que calcula o primeiro invariante

Definition at line 903 of file TPZTensor.h.

Referenced by TPZLadeNelsonElasticResponse::ApplyElasticTensor(), TPZMohrCoulombPV::CommitDeformation(), TPZMohrCoulombNeto::CommitDeformation(), TPZYCRankine< T_YCBASE >::Compute(), TPZYCSandlerDimaggioL2::Compute(), TPZYCSandlerDimaggioL::Compute(), TPZYCWillamWarnke::Compute(), TPZYCModifiedMohrCoulomb::Compute(), TPZYCDruckerPrager::Compute(), TPZYCLadeKim::Compute(), TPZYCSandlerDimaggio::Compute(), TPZYCLadeKim::ComputePlasticPotential(), TPZElasticResponse::ComputeStrain(), TPZPorousElasticResponse::ComputeStrain(), TPZElasticResponse::ComputeStress(), TPZPorousElasticResponse::ComputeStress(), TPZLadeNelsonElasticResponse::ComputeYoung(), TPZTensor< STATE >::DeviatoricDiagonal_T(), TPZTensor< STATE >::DirectEigenValues(), TPZTensor< STATE >::dJ2(), TPZPlasticTest::DruckerTest(), TPZTensor< STATE >::Eigenvalue(), TPZPorousElasticResponse::G(), TPZYCSandlerDimaggioL2::H(), TPZYCSandlerDimaggioL::H(), TPZYCSandlerDimaggio::H(), TPZYCSandlerDimaggioL2::InitialGuess(), TPZYCSandlerDimaggioL::InitialGuess(), TPZYCSandlerDimaggio::InitialGuess(), TPZPorousElasticResponse::K(), LKFineSilicaLoadTest(), LKKoCompressionLoadTest(), LKLoadingTest(), TPZPlasticTest::ModifiedMohrCoulombTest(), TPZYCSandlerDimaggioL2::N(), TPZYCSandlerDimaggioL::N(), TPZYCWillamWarnke::N(), TPZYCSandlerDimaggio::N(), TPZYCLadeKim::N(), TPZTensor< STATE >::operator()(), TPZYCDruckerPragerPV::Phi(), TPZYCCamClayPV::Phi(), TPZPorousElasticResponse::Poisson_linearized(), TPZTensor< STATE >::S(), TPZYCLadeKim::SetYieldStatusMode(), TPZMohrCoulombNeto::SigmaElast(), TPZMohrCoulombPV::SigmaElast(), and TPZMatElastoPlastic< T, TMEM >::Solution().

◆ I2()

template<class T >
T TPZTensor< T >::I2 ( ) const

Metodo que calcula o segundo invariante

Definition at line 908 of file TPZTensor.h.

Referenced by TPZYCLadeKim::Compute(), TPZYCLadeKim::ComputePlasticPotential(), DerivPolynom(), TPZPlasticTest::ModifiedMohrCoulombTest(), TPZYCLadeKim::N(), and TPZTensor< STATE >::operator()().

◆ I3()

template<class T >
T TPZTensor< T >::I3 ( ) const

Metodo que calcula o terceiro invariante

Definition at line 918 of file TPZTensor.h.

Referenced by TPZYCLadeKim::Compute(), TPZYCLadeKim::ComputePlasticPotential(), TPZPlasticTest::ModifiedMohrCoulombTest(), TPZYCLadeKim::N(), TPZTensor< STATE >::operator()(), Polynom(), and TPZYCLadeKim::SetYieldStatusMode().

◆ Identity()

template<class T >
void TPZTensor< T >::Identity ( )
inline

Definition at line 705 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::Adjust(), TPZLadeKim::ApplyLoad(), TPZLadeKim::ApplyStrainComputeDep(), TPZLadeKim::ApplyStrainComputeSigma(), TPZElasticResponse::ComputeStrain(), TPZElasticResponse::ComputeStress(), TPZPorousElasticResponse::ComputeStress(), TPZTensor< STATE >::EigenProjection(), TPZTensor< STATE >::Eigenvalue(), TPZYCWillamWarnke::N(), TPZTensor< STATE >::operator()(), TPZMohrCoulombNeto::SigmaElast(), and TPZMohrCoulombPV::SigmaElast().

◆ Identity_T()

template<class T >
template<class TBASE >
void TPZTensor< T >::Identity_T ( TBASE &  )
inline

Identity Matrix TBASE is needed when 3rd derivatives are of interest. In such cases the FAD promotion fails.

Definition at line 694 of file TPZTensor.h.

Referenced by TPZLadeNelsonElasticResponse::ApplyElasticTensor(), TPZTensor< STATE >::Identity(), and TPZTensor< STATE >::operator()().

◆ IsDiagonal()

template<class T>
bool TPZTensor< T >::IsDiagonal ( T  tol = 1.e-9) const
inline

Definition at line 544 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::ComputeEigenvalues(), and TPZTensor< STATE >::ComputeEigenvectors().

◆ IsZeroTensor()

template<class T>
bool TPZTensor< T >::IsZeroTensor ( T  tol = 1.e-9) const
inline

Definition at line 534 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::ComputeEigenvalues().

◆ IsZeroVal()

template<class T>
static bool TPZTensor< T >::IsZeroVal ( const T &  val,
T  tol = 1.e-9 
)
inlinestaticprotected

Definition at line 656 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::ComputeEigenvector1(), and TPZTensor< STATE >::DirectEigenValues().

◆ J2()

template<class T >
T TPZTensor< T >::J2 ( ) const

Metodo que calcula os autovalores to tensor

Parameters
[out]eigValautovalores Metodo que calcula o negativo do segundo invariante da parte deviatorica do tensor TBASE is needed when 3rd derivatives are of interest. In such cases the FAD promotion fails.

Definition at line 927 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::Adjust(), TPZYCTrescaRegularized::Compute(), TPZYCRankine< T_YCBASE >::Compute(), TPZYCTresca::Compute(), TPZYCVonMises::Compute(), TPZYCSandlerDimaggioL2::Compute(), TPZYCSandlerDimaggioL::Compute(), TPZYCWillamWarnke::Compute(), TPZYCModifiedMohrCoulomb::Compute(), TPZYCDruckerPrager::Compute(), TPZYCSandlerDimaggio::Compute(), TPZYCVonMises::ComputeTangent(), TPZLadeNelsonElasticResponse::ComputeYoung(), TPZTensor< STATE >::Eigenvalue(), TPZYCTresca::GradInverseAngle(), TPZYCSandlerDimaggioL2::InitialGuess(), TPZYCSandlerDimaggioL::InitialGuess(), TPZYCTresca::InverseAngle(), TPZTensor< STATE >::Lodeangle(), TPZPlasticTest::ModifiedMohrCoulombTest(), TPZYCVonMises::N(), TPZYCSandlerDimaggioL2::N(), TPZYCSandlerDimaggioL::N(), TPZYCWillamWarnke::N(), TPZYCModifiedMohrCoulomb::N(), TPZYCDruckerPrager::N(), TPZYCSandlerDimaggio::N(), TPZTensor< STATE >::operator()(), TPZYCDruckerPragerPV::Phi(), TPZYCCamClayPV::Phi(), TPZYCVonMises::Residual(), TPZYCDruckerPrager::Residual(), TPZYCTresca::Residual(), and TPZMatElastoPlastic< T, TMEM >::Solution().

◆ J3()

template<class T >
T TPZTensor< T >::J3 ( ) const

Return the 3rd invariant of deviatoric tensor

Definition at line 946 of file TPZTensor.h.

Referenced by TPZYCRankine< T_YCBASE >::Compute(), TPZYCWillamWarnke::Compute(), TPZYCTresca::GradInverseAngle(), TPZYCTresca::InverseAngle(), TPZTensor< STATE >::Lodeangle(), TPZPlasticTest::ModifiedMohrCoulombTest(), TPZYCWillamWarnke::N(), TPZTensor< STATE >::operator()(), and TPZYCTresca::Residual().

◆ Lodeangle()

template<class T>
void TPZTensor< T >::Lodeangle ( TPZTensor< T > &  GradLode,
T &  Lode 
) const

Computes the Lode angle and its derivatives

Definition at line 1675 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::Adjust(), TPZYCWillamWarnke::Compute(), TPZTensor< STATE >::Eigenvalue(), and TPZYCWillamWarnke::N().

◆ Multiply() [1/2]

template<class T >
template<class T1 , class T2 >
void TPZTensor< T >::Multiply ( const T1 &  multipl,
const T2 &  constant 
)

multiplica um scalar com o tensor atual

Parameters
[in]multiplvalor sendo multiplicada
[in]constantfator multiplicativo

Definition at line 766 of file TPZTensor.h.

Referenced by TPZLadeNelsonElasticResponse::ApplyElasticTensor(), TPZMohrCoulombNeto::CommitDeformation(), TPZMohrCoulombPV::CommitDeformation(), TPZElasticResponse::ComputeStrain(), TPZElasticResponse::ComputeStress(), TPZPorousElasticResponse::ComputeStress(), TPZYCVonMises::ComputeTangent(), TPZLadeNelsonElasticResponse::ComputeTangent(), TPZYCTresca::GradInverseAngle(), TPZYCTrescaRegularized::GradTheta(), TPZYCTresca::GradTheta(), TPZTensor< STATE >::Lodeangle(), TPZYCTrescaRegularized::N(), TPZYCTresca::N(), TPZYCWillamWarnke::N(), TPZTensor< STATE >::operator()(), and TPZLadeNelsonElasticResponse::Residual().

◆ Multiply() [2/2]

template<class T>
void TPZTensor< T >::Multiply ( const TPZTensor< T >  tensor,
TPZTensor< T > &  resp 
) const

realiza a multiplicacao tradicional entre matrizes

Parameters
[in]tensora ser multiplicado
[out]tensorresposta

Definition at line 775 of file TPZTensor.h.

◆ Norm()

template<class T >
T TPZTensor< T >::Norm ( ) const

Definition at line 854 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::ComputeEigenvalues(), TPZTensor< STATE >::ComputeEigenvectors(), TPZTensor< STATE >::EigenSystem(), TPZYCSandlerDimaggioL2::InitialGuess(), TPZYCSandlerDimaggioL::InitialGuess(), TPZYCSandlerDimaggio::InitialGuess(), TPZTensor< STATE >::operator()(), TPZPlasticStep< YC_t, TF_t, ER_t >::PlasticResidual(), TPZPlasticStep< YC_t, TF_t, ER_t >::PlasticResidualRK(), and TPZPlasticTest::Residual().

◆ operator TPZFMatrix< T >()

template<class T>
TPZTensor< T >::operator TPZFMatrix< T > ( ) const
inline

Definition at line 285 of file TPZTensor.h.

References TPZTensor< T >::XX(), TPZTensor< T >::XY(), TPZTensor< T >::XZ(), TPZTensor< T >::YY(), TPZTensor< T >::YZ(), and TPZTensor< T >::ZZ().

◆ operator()() [1/2]

template<class T>
T& TPZTensor< T >::operator() ( const int64_t  row,
const int64_t  col 
)
inline

Definition at line 359 of file TPZTensor.h.

◆ operator()() [2/2]

template<class T>
T& TPZTensor< T >::operator() ( const int64_t  row,
const int64_t  col 
) const
inline

Definition at line 367 of file TPZTensor.h.

◆ operator*()

template<class T>
TPZTensor< T > TPZTensor< T >::operator* ( const T &  multipl) const

Operator*

Definition at line 750 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::TPZTensor().

◆ operator*=()

template<class T>
const TPZTensor< T > & TPZTensor< T >::operator*= ( const T &  multipl)

Operator*=

Definition at line 731 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::TPZTensor().

◆ operator+()

template<class T>
TPZTensor< T > TPZTensor< T >::operator+ ( const TPZTensor< T > &  source) const

Operator+

Definition at line 738 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::TPZTensor().

◆ operator+=()

template<class T>
const TPZTensor< T > & TPZTensor< T >::operator+= ( const TPZTensor< T > &  source)

Operator+=

Definition at line 717 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::TPZTensor().

◆ operator-()

template<class T>
TPZTensor< T > TPZTensor< T >::operator- ( const TPZTensor< T > &  source) const

Operator-

Definition at line 744 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::TPZTensor().

◆ operator-=()

template<class T>
const TPZTensor< T > & TPZTensor< T >::operator-= ( const TPZTensor< T > &  source)

Operator-=

Definition at line 724 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::TPZTensor().

◆ operator=()

template<class T>
const TPZTensor< T > & TPZTensor< T >::operator= ( const TPZTensor< T > &  source)

Operator=

Definition at line 711 of file TPZTensor.h.

◆ operator[]()

template<class T>
T& TPZTensor< T >::operator[] ( int  i) const
inline

Definition at line 590 of file TPZTensor.h.

◆ Precondition()

template<class T>
void TPZTensor< T >::Precondition ( REAL &  conditionFactor,
TPZTensor< T > &  A,
TPZDecomposed &  decomposition 
) const
protected

Definition at line 1591 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::AreEqual(), TPZTensor< STATE >::ComputeEigenvectors(), and TPZTensor< STATE >::DirectEigenValues().

◆ Print() [1/3]

template<class T >
void TPZTensor< T >::Print ( std::ostream &  out) const
inline

Method to print the tensor

Definition at line 1847 of file TPZTensor.h.

Referenced by TPZPlasticStepPV< YC_t, ER_t >::ApplyStrainComputeDep(), TPZTensor< STATE >::EigenSystem(), TPZPlasticStep< YC_t, TF_t, ER_t >::PlasticLoop(), TPZMohrCoulombPV::TPlasticState::Print(), TPZMohrCoulombNeto::TPlasticState::Print(), TPZMohrCoulombPV::SigmaTrial(), and TPZMohrCoulombNeto::SigmaTrial().

◆ Print() [2/3]

template<>
void TPZTensor< TFad< 6, REAL > >::Print ( std::ostream &  output) const
inline

Definition at line 1837 of file TPZTensor.h.

◆ Print() [3/3]

template<>
void TPZTensor< TFad< 9, REAL > >::Print ( std::ostream &  output) const
inline

Definition at line 1842 of file TPZTensor.h.

◆ Read()

template<class T >
void TPZTensor< T >::Read ( TPZStream &  buf,
void *  context 
)
overridevirtual

Method to read the object from a pzstream.

Reimplemented from TPZSavable.

Definition at line 683 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::ClassId(), TPZElastoPlasticMem::Read(), TPZPorousElastoPlasticMem::Read(), TPZElasticResponse::Read(), and TPZPlasticState< STATE >::Read().

◆ S()

template<class T>
void TPZTensor< T >::S ( TPZTensor< T > &  s) const

Metodo que calcula o tensor deviatorio

Parameters
[out]sretorna o tensor deviatorio calculado

Definition at line 894 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::Adjust(), TPZMohrCoulombNeto::CommitDeformation(), TPZMohrCoulombPV::CommitDeformation(), TPZYCTrescaRegularized::Compute(), TPZYCSandlerDimaggioL2::InitialGuess(), TPZYCSandlerDimaggioL::InitialGuess(), TPZYCSandlerDimaggio::InitialGuess(), TPZTensor< STATE >::J3(), TPZYCVonMises::N(), TPZYCSandlerDimaggioL2::N(), TPZYCSandlerDimaggioL::N(), TPZYCWillamWarnke::N(), TPZYCModifiedMohrCoulomb::N(), and TPZTensor< STATE >::operator()().

◆ Scale()

template<class T >
template<class T2 >
void TPZTensor< T >::Scale ( const T2 &  constant)

multiplica um scalar com o tensor atual

Parameters
[in]constantfator multiplicativo

Definition at line 792 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::operator()(), and TPZPlasticStepPV< YC_t, ER_t >::TaylorCheck().

◆ SetUp()

template<class T >
void TPZTensor< T >::SetUp ( const TPZVec< REAL > &  Solution)

Initializa o valor do tensor (tensor de deformacao)

Definition at line 810 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::operator[]().

◆ Write()

template<class T >
void TPZTensor< T >::Write ( TPZStream &  buf,
int  withclassid 
) const
overridevirtual

Method to write to a pzstream.

Reimplemented from TPZSavable.

Definition at line 688 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::ClassId(), TPZElastoPlasticMem::Write(), TPZPorousElastoPlasticMem::Write(), TPZElasticResponse::Write(), and TPZPlasticState< STATE >::Write().

◆ XX()

template<class T>
T& TPZTensor< T >::XX ( ) const
inline

Mnemonical access

Definition at line 566 of file TPZTensor.h.

Referenced by TPZTensor< T >::TPZDecomposed::ApplyStrainComputeElasticStress(), TPZMohrCoulombNeto::CommitDeformation(), TPZMohrCoulombPV::CommitDeformation(), TPZYCMohrCoulomb::Compute(), TPZYCModifiedMohrCoulomb::Compute(), TPZTensor< STATE >::ComputeEigenvalues(), TPZTensor< STATE >::ComputeEigenvector0(), TPZTensor< STATE >::ComputeEigenvector1(), TPZPorousElasticResponse::ComputeStrain(), TPZElasticResponse::ComputeStress(), TPZPlasticStepPV< YC_t, ER_t >::CopyFromFMatrixToTensor(), TPZPlasticStepPV< YC_t, ER_t >::CopyFromTensorToFMatrix(), TPZTensor< STATE >::CopyToTensor(), TPZPorousElasticResponse::De_G_constant(), TPZPorousElasticResponse::De_Poisson_constant(), TPZTensor< STATE >::DirectEigenValues(), DruckerBiaxialTest(), DruckerIsotropicCompression(), TPZPlasticTest::DruckerPragerTest(), TPZPlasticTest::DruckerTest(), TPZTensor< STATE >::Eigenvalue(), LadeKimTriaxialLooseSand(), LKBiaxialTest(), LKFineSilicaLoadTest(), LKIsotropicCompression(), LKKoCompressionLoadTest(), LKLoadingTest(), TPZPlasticTest::LoadTest(), TPZPlasticTest::ModifiedMohrCoulombTest(), TPZPlasticTest::MohrCoulombTest(), MultiDirectionsMaterialPointTest(), TPZTensor< STATE >::Multiply(), TPZYCRankine< T_YCBASE >::N(), TPZYCSandlerDimaggioL2::N(), TPZYCSandlerDimaggioL::N(), TPZYCModifiedMohrCoulomb::N(), TPZYCDruckerPrager::N(), TPZYCSandlerDimaggio::N(), TPZYCLadeKim::N(), TPZTensor< T >::operator TPZFMatrix< T >(), TPZYCDruckerPragerPV::Phi(), TPZYCCamClayPV::Phi(), TPZPlasticTest::PlasticIntegratorCheck(), TPZTensor< STATE >::Precondition(), TPZTensor< STATE >::Print(), SandlerDimaggioIsotropicCompression(), TPZMatElastoPlastic< T, TMEM >::Solution(), TPZYCSandlerDimaggio::TestSolveL(), TPZPlasticTest::UndocumentedTest3(), TPZPlasticTest::UndocumentedTest4(), TPZPlasticTest::VonMisesTest(), TPZPlasticTest::WillamWarnkeTest(), TPZPorousElasticCriterion::YieldFunction(), TPZYCVonMises::YieldFunction(), TPZYCTresca::YieldFunction(), TPZYCMohrCoulomb::YieldFunction(), TPZYCVonMisesCombTresca::YieldFunction(), TPZYCModifiedMohrCoulomb::YieldFunction(), TPZYCDruckerPrager::YieldFunction(), TPZYCLadeKim::YieldFunction(), TPZElasticCriterion::YieldFunction(), TPZYCWillamWarnke::YieldFunction(), and TPZYCSandlerDimaggio::YieldFunction().

◆ XY()

template<class T>
T& TPZTensor< T >::XY ( ) const
inline

Definition at line 570 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::ComputeEigenvector0(), TPZTensor< STATE >::ComputeEigenvector1(), TPZElasticResponse::ComputeStress(), TPZPlasticStepPV< YC_t, ER_t >::CopyFromFMatrixToTensor(), TPZPlasticStepPV< YC_t, ER_t >::CopyFromTensorToFMatrix(), TPZTensor< STATE >::CopyToTensor(), TPZPorousElasticResponse::De_Poisson_constant(), TPZTensor< STATE >::DirectEigenValues(), DruckerBiaxialTest(), DruckerIsotropicCompression(), TPZPlasticTest::DruckerTest(), TPZTensor< STATE >::Eigenvalue(), TPZTensor< STATE >::IsDiagonal(), LadeKimTriaxialLooseSand(), LKBiaxialTest(), LKFineSilicaLoadTest(), LKIsotropicCompression(), LKLoadingTest(), TPZPlasticTest::MohrCoulombTest(), TPZTensor< STATE >::Multiply(), TPZYCRankine< T_YCBASE >::N(), TPZYCSandlerDimaggioL2::N(), TPZYCSandlerDimaggioL::N(), TPZYCSandlerDimaggio::N(), TPZYCLadeKim::N(), TPZTensor< T >::operator TPZFMatrix< T >(), TPZTensor< STATE >::Precondition(), TPZTensor< STATE >::Print(), SandlerDimaggioIsotropicCompression(), TPZMatElastoPlastic< T, TMEM >::Solution(), TPZTensor< T >::TPZDecomposed::TangentCheckConv(), TPZYCSandlerDimaggio::TestSolveL(), TPZPlasticTest::UndocumentedTest3(), TPZPlasticTest::UndocumentedTest4(), TPZPlasticTest::VonMisesTest(), and TPZPlasticTest::WillamWarnkeTest().

◆ XZ()

template<class T>
T& TPZTensor< T >::XZ ( ) const
inline

Definition at line 574 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::ComputeEigenvector0(), TPZTensor< STATE >::ComputeEigenvector1(), TPZElasticResponse::ComputeStress(), TPZPlasticStepPV< YC_t, ER_t >::CopyFromFMatrixToTensor(), TPZPlasticStepPV< YC_t, ER_t >::CopyFromTensorToFMatrix(), TPZTensor< STATE >::CopyToTensor(), TPZPorousElasticResponse::De_Poisson_constant(), TPZTensor< STATE >::DirectEigenValues(), DruckerBiaxialTest(), DruckerIsotropicCompression(), TPZPlasticTest::DruckerTest(), TPZTensor< STATE >::Eigenvalue(), TPZTensor< STATE >::IsDiagonal(), LadeKimTriaxialLooseSand(), LKBiaxialTest(), LKFineSilicaLoadTest(), LKIsotropicCompression(), LKLoadingTest(), TPZPlasticTest::MohrCoulombTest(), TPZTensor< STATE >::Multiply(), TPZYCRankine< T_YCBASE >::N(), TPZYCSandlerDimaggioL2::N(), TPZYCSandlerDimaggioL::N(), TPZYCSandlerDimaggio::N(), TPZYCLadeKim::N(), TPZTensor< T >::operator TPZFMatrix< T >(), TPZTensor< STATE >::Precondition(), TPZTensor< STATE >::Print(), SandlerDimaggioIsotropicCompression(), TPZMatElastoPlastic< T, TMEM >::Solution(), TPZTensor< T >::TPZDecomposed::TangentCheckConv(), TPZYCSandlerDimaggio::TestSolveL(), TPZPlasticTest::UndocumentedTest3(), TPZPlasticTest::UndocumentedTest4(), and TPZPlasticTest::WillamWarnkeTest().

◆ YY()

template<class T>
T& TPZTensor< T >::YY ( ) const
inline

Definition at line 578 of file TPZTensor.h.

Referenced by TPZTensor< T >::TPZDecomposed::ApplyStrainComputeElasticStress(), TPZMohrCoulombPV::CommitDeformation(), TPZMohrCoulombNeto::CommitDeformation(), TPZYCMohrCoulomb::Compute(), TPZYCModifiedMohrCoulomb::Compute(), TPZTensor< STATE >::ComputeEigenvalues(), TPZTensor< STATE >::ComputeEigenvector0(), TPZTensor< STATE >::ComputeEigenvector1(), TPZPorousElasticResponse::ComputeStrain(), TPZElasticResponse::ComputeStress(), TPZPlasticStepPV< YC_t, ER_t >::CopyFromFMatrixToTensor(), TPZPlasticStepPV< YC_t, ER_t >::CopyFromTensorToFMatrix(), TPZTensor< STATE >::CopyToTensor(), TPZPorousElasticResponse::De_G_constant(), TPZPorousElasticResponse::De_Poisson_constant(), TPZTensor< STATE >::DirectEigenValues(), DruckerBiaxialTest(), DruckerIsotropicCompression(), TPZPlasticTest::DruckerTest(), TPZTensor< STATE >::Eigenvalue(), LadeKimTriaxialLooseSand(), LKBiaxialTest(), LKFineSilicaLoadTest(), LKIsotropicCompression(), LKKoCompressionLoadTest(), LKLoadingTest(), TPZPlasticTest::ModifiedMohrCoulombTest(), TPZPlasticTest::MohrCoulombTest(), MultiDirectionsMaterialPointTest(), TPZTensor< STATE >::Multiply(), TPZYCRankine< T_YCBASE >::N(), TPZYCSandlerDimaggioL2::N(), TPZYCSandlerDimaggioL::N(), TPZYCModifiedMohrCoulomb::N(), TPZYCDruckerPrager::N(), TPZYCSandlerDimaggio::N(), TPZYCLadeKim::N(), TPZTensor< T >::operator TPZFMatrix< T >(), TPZYCDruckerPragerPV::Phi(), TPZYCCamClayPV::Phi(), TPZPlasticTest::PlasticIntegratorCheck(), TPZTensor< STATE >::Precondition(), TPZTensor< STATE >::Print(), SandlerDimaggioIsotropicCompression(), TPZMatElastoPlastic< T, TMEM >::Solution(), TPZYCSandlerDimaggio::TestSolveL(), TPZPlasticTest::UndocumentedTest3(), TPZPlasticTest::UndocumentedTest4(), TPZPlasticTest::VonMisesTest(), TPZPlasticTest::WillamWarnkeTest(), TPZPorousElasticCriterion::YieldFunction(), TPZYCVonMises::YieldFunction(), TPZYCTresca::YieldFunction(), TPZYCMohrCoulomb::YieldFunction(), TPZYCVonMisesCombTresca::YieldFunction(), TPZYCModifiedMohrCoulomb::YieldFunction(), TPZYCDruckerPrager::YieldFunction(), TPZYCLadeKim::YieldFunction(), TPZElasticCriterion::YieldFunction(), TPZYCWillamWarnke::YieldFunction(), and TPZYCSandlerDimaggio::YieldFunction().

◆ YZ()

template<class T>
T& TPZTensor< T >::YZ ( ) const
inline

Definition at line 582 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::ComputeEigenvector0(), TPZTensor< STATE >::ComputeEigenvector1(), TPZElasticResponse::ComputeStress(), TPZPlasticStepPV< YC_t, ER_t >::CopyFromFMatrixToTensor(), TPZPlasticStepPV< YC_t, ER_t >::CopyFromTensorToFMatrix(), TPZTensor< STATE >::CopyToTensor(), TPZPorousElasticResponse::De_Poisson_constant(), TPZTensor< STATE >::DirectEigenValues(), DruckerBiaxialTest(), DruckerIsotropicCompression(), TPZPlasticTest::DruckerTest(), TPZTensor< STATE >::Eigenvalue(), TPZTensor< STATE >::IsDiagonal(), LadeKimTriaxialLooseSand(), LKBiaxialTest(), LKFineSilicaLoadTest(), LKIsotropicCompression(), LKLoadingTest(), TPZPlasticTest::MohrCoulombTest(), TPZTensor< STATE >::Multiply(), TPZYCRankine< T_YCBASE >::N(), TPZYCSandlerDimaggioL2::N(), TPZYCSandlerDimaggioL::N(), TPZYCSandlerDimaggio::N(), TPZYCLadeKim::N(), TPZTensor< T >::operator TPZFMatrix< T >(), TPZTensor< STATE >::Precondition(), TPZTensor< STATE >::Print(), SandlerDimaggioIsotropicCompression(), TPZMatElastoPlastic< T, TMEM >::Solution(), TPZTensor< T >::TPZDecomposed::TangentCheckConv(), TPZYCSandlerDimaggio::TestSolveL(), TPZPlasticTest::UndocumentedTest3(), TPZPlasticTest::UndocumentedTest4(), TPZPlasticTest::VonMisesTest(), and TPZPlasticTest::WillamWarnkeTest().

◆ Zero()

template<class T >
void TPZTensor< T >::Zero ( )

Zera o tensor

Definition at line 801 of file TPZTensor.h.

Referenced by TPZPlasticState< STATE >::CleanUp(), TPZTensor< STATE >::operator()(), and TPZElasticResponse::TPZElasticResponse().

◆ ZZ()

template<class T>
T& TPZTensor< T >::ZZ ( ) const
inline

Definition at line 586 of file TPZTensor.h.

Referenced by TPZTensor< T >::TPZDecomposed::ApplyStrainComputeElasticStress(), TPZMohrCoulombPV::CommitDeformation(), TPZMohrCoulombNeto::CommitDeformation(), TPZYCMohrCoulomb::Compute(), TPZYCModifiedMohrCoulomb::Compute(), TPZTensor< STATE >::ComputeEigenvalues(), TPZTensor< STATE >::ComputeEigenvector0(), TPZTensor< STATE >::ComputeEigenvector1(), TPZPorousElasticResponse::ComputeStrain(), TPZElasticResponse::ComputeStress(), TPZPlasticStepPV< YC_t, ER_t >::CopyFromFMatrixToTensor(), TPZPlasticStepPV< YC_t, ER_t >::CopyFromTensorToFMatrix(), TPZTensor< STATE >::CopyToTensor(), TPZPorousElasticResponse::De_G_constant(), TPZPorousElasticResponse::De_Poisson_constant(), TPZTensor< STATE >::DirectEigenValues(), DruckerBiaxialTest(), DruckerIsotropicCompression(), TPZPlasticTest::DruckerPragerTest(), TPZPlasticTest::DruckerTest(), TPZTensor< STATE >::Eigenvalue(), LadeKimTriaxialLooseSand(), LKBiaxialTest(), LKFineSilicaLoadTest(), LKIsotropicCompression(), LKKoCompressionLoadTest(), LKLoadingTest(), TPZPlasticTest::MohrCoulombTest(), MultiDirectionsMaterialPointTest(), TPZTensor< STATE >::Multiply(), TPZYCRankine< T_YCBASE >::N(), TPZYCSandlerDimaggioL2::N(), TPZYCSandlerDimaggioL::N(), TPZYCModifiedMohrCoulomb::N(), TPZYCDruckerPrager::N(), TPZYCSandlerDimaggio::N(), TPZYCLadeKim::N(), TPZTensor< T >::operator TPZFMatrix< T >(), TPZYCDruckerPragerPV::Phi(), TPZYCCamClayPV::Phi(), TPZPlasticTest::PlasticIntegratorCheck(), TPZTensor< STATE >::Precondition(), TPZTensor< STATE >::Print(), SandlerDimaggioIsotropicCompression(), TPZMatElastoPlastic< T, TMEM >::Solution(), TPZYCSandlerDimaggio::TestSolveL(), TPZPlasticTest::UndocumentedTest3(), TPZPlasticTest::UndocumentedTest4(), TPZPlasticTest::VonMisesTest(), TPZPlasticTest::WillamWarnkeTest(), TPZPorousElasticCriterion::YieldFunction(), TPZYCVonMises::YieldFunction(), TPZYCTresca::YieldFunction(), TPZYCMohrCoulomb::YieldFunction(), TPZYCVonMisesCombTresca::YieldFunction(), TPZYCModifiedMohrCoulomb::YieldFunction(), TPZYCDruckerPrager::YieldFunction(), TPZYCLadeKim::YieldFunction(), TPZElasticCriterion::YieldFunction(), TPZYCWillamWarnke::YieldFunction(), and TPZYCSandlerDimaggio::YieldFunction().

Member Data Documentation

◆ fData

template<class T>
TPZManVector<T, 6> TPZTensor< T >::fData

Dados do tensor

Definition at line 652 of file TPZTensor.h.

Referenced by TPZTensor< STATE >::Add(), TPZMatElastoPlastic< T, TMEM >::CheckConvergence(), TPZPlasticStep< YC_t, TF_t, ER_t >::ComputeDep(), TPZMatElastoPlastic< T, TMEM >::ComputeStrainVector(), TPZYCTrescaRegularized::ComputeTangent(), TPZYCTresca::ComputeTangent(), TPZYCDruckerPrager::ComputeTangent(), TPZYCSandlerDimaggio::ComputeTangent(), TPZTensor< STATE >::dDet(), TPZTensor< STATE >::dJ2(), TPZTensor< STATE >::dJ3(), TPZLadeNelsonElasticResponse::ExtractTangent(), TPZPlasticTest::GlobalCheckConv(), TPZTensor< STATE >::IsZeroTensor(), TPZYCTrescaRegularized::LoadState(), TPZPlasticTest::LoadState(), TPZYCMohrCoulomb::LoadState(), TPZYCTresca::LoadState(), TPZYCDruckerPrager::LoadState(), TPZYCSandlerDimaggio::LoadState(), TPZPlasticTest::LoadTest(), TPZTensor< STATE >::Multiply(), TPZTensor< STATE >::operator()(), TPZTensor< STATE >::operator+=(), TPZTensor< STATE >::operator-=(), TPZTensor< STATE >::operator=(), TPZTensor< STATE >::operator[](), TPZPlasticStep< YC_t, TF_t, ER_t >::PlasticResidual(), TPZPlasticStep< YC_t, TF_t, ER_t >::PlasticResidualRK(), TPZTensor< STATE >::Precondition(), TPZPlasticStep< YC_t, TF_t, ER_t >::ProcessLoad(), TPZPlasticStep< YC_t, TF_t, ER_t >::ProcessStrainNoSubIncrement(), TPZTensor< STATE >::S(), TPZLadeNelsonElasticResponse::SolveSigma(), TPZPlasticTest::StrainTest(), TPZPlasticTest::StressTest(), TPZTensor< STATE >::TPZTensor(), TPZPlasticTest::UndocumentedTest2(), TPZPlasticTest::UndocumentedTest4(), TPZPlasticStep< YC_t, TF_t, ER_t >::UpdatePlasticVars(), TPZTensor< STATE >::XX(), TPZTensor< STATE >::XY(), TPZTensor< STATE >::XZ(), TPZTensor< STATE >::YY(), TPZTensor< STATE >::YZ(), and TPZTensor< STATE >::ZZ().

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