#include <TPZLadeKim.h>

Inheritance diagram for TPZLadeKim:

Collaboration diagram for TPZLadeKim:

Public Types
enum	{ NYield }

Public Member Functions
	TPZLadeKim ()

	TPZLadeKim (const TPZLadeKim &source)

TPZLadeKim &	operator= (const TPZLadeKim &source)

virtual const char *	Name () const override

void	SetUp (REAL poisson, REAL M, REAL lambda, REAL a, REAL m, REAL neta1, REAL ksi2, REAL mu, REAL C, REAL p, REAL h, REAL alpha, REAL pa)

virtual void	SetUp (const TPZTensor< REAL > &epsTotal) override

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

int	ClassId () const override

void	Write (TPZStream &buf, int withclassid) const override

void	Read (TPZStream &buf, void *context) override

virtual void	SetState (const TPZPlasticState< REAL > &state) override

virtual TPZPlasticState< REAL >	GetState () const override

virtual void	ApplyLoad (const TPZTensor< REAL > &sigma, TPZTensor< REAL > &epsTotal) override

virtual void	ApplyStrain (const TPZTensor< REAL > &epsTotal) override

virtual void	ApplyStrainComputeDep (const TPZTensor< REAL > &epsTotal, TPZTensor< REAL > &sigma, TPZFMatrix< REAL > &Dep) override

virtual void	ApplyStrainComputeSigma (const TPZTensor< REAL > &epsTotal, TPZTensor< REAL > &sigma, TPZFMatrix< REAL > *tangent=NULL) override

virtual void	Phi (const TPZTensor< REAL > &epsTotal, TPZVec< REAL > &phi) const override

int	NumCases ()

void	LoadState (TPZFMatrix< REAL > &state)

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

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

virtual int	GetNYield () const

Static Public Member Functions
static void	PlainConcrete (TPZLadeKim &material)

static void	PlainConcreteMPa (TPZLadeKim &material)

static void	LooseSacrRiverSand (TPZLadeKim &material)

static void	DenseSacrRiverSand (TPZLadeKim &material)

static void	FineSilicaSand (TPZLadeKim &material)

static void	FineSilicaSandPaperIII (TPZLadeKim &material)

static void	LooseSantaMonicaBeachSand (TPZLadeKim &material)

static void	CheckConv ()

Static Public Attributes
static TPZManVector< REAL, 6+6+1+TPZYCLadeKim::NYield >	gRefResidual

Private Attributes
REAL	faPa

TPZPlasticState< REAL >	fInitialEps

Detailed Description

This class implements the LADE KIM constitutive model comprised of a LadeKim Plastic flow rule and yield criterium and of a LadeNelson elastic response. The initialization takes care of ensuring that the starting plastic state is consistent with the starting stress state (unstressed) Because of some numerical instabilities presented by this model, the first steps in loading a material may lead to unexpected problems, generally leading to invalid numerical evaluations and NotANumbers. To avoid this, it is suggested that the material be loaded with low stress state (let's say, 0.001 strain hydrostatic) with error tolerances of the same magnitude. Greater values for these variales may lead to undesired integration deviations and values lower night cause the integration to crash. after this first step any integration tolerance and strain increment sizes might be used. This problem is likely to be related to the fact that the elastic response and the plastic flow rules are singular at null stresses.

Definition at line 39 of file TPZLadeKim.h.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum

Enumerator
NYield

Definition at line 43 of file TPZLadeKim.h.

Constructor & Destructor Documentation

◆ TPZLadeKim() [1/2]

TPZLadeKim::TPZLadeKim ( )

inline

Definition at line 48 of file TPZLadeKim.h.

◆ TPZLadeKim() [2/2]

TPZLadeKim::TPZLadeKim ( const TPZLadeKim & source )

inline

Definition at line 54 of file TPZLadeKim.h.

References faPa, and fInitialEps.

Member Function Documentation

◆ ApplyLoad()

virtual void TPZLadeKim::ApplyLoad	(	const TPZTensor< REAL > &	sigma,
		TPZTensor< REAL > &	epsTotal
	)

inlineoverridevirtual

Computes the strain tensor as a function of the stress state. This function returns the inverse of function void Sigma(...) using a Newton's scheme. It first performs the Stress translation to remove the effect of apparent cohesion, making it possible to use the cohesionless Lade Kim model simulating the cohesion effect.

Parameters

[in]	sigma	stress tensor
[out]	epsTotal	deformation tensor

Definition at line 187 of file TPZLadeKim.h.

References TPZTensor< T >::Add(), faPa, fInitialEps, TPZTensor< T >::Identity(), and TPZPlasticState< T >::m_eps_t.

Referenced by LadeKimTriaxialLooseSand(), LKBiaxialTest(), LKFineSilicaLoadTest(), LKIsotropicCompression(), LKKoCompressionLoadTest(), LKLoadingTest(), and SetUp().

◆ ApplyStrain()

virtual void TPZLadeKim::ApplyStrain ( const TPZTensor< REAL > & epsTotal )

inlineoverridevirtual

Load the converged solution, updating the damage variables

Definition at line 203 of file TPZLadeKim.h.

References TPZTensor< T >::Add(), fInitialEps, and TPZPlasticState< T >::m_eps_t.

◆ ApplyStrainComputeDep()

virtual void TPZLadeKim::ApplyStrainComputeDep	(	const TPZTensor< REAL > &	epsTotal,
		TPZTensor< REAL > &	sigma,
		TPZFMatrix< REAL > &	Dep
	)

inlineoverridevirtual

Load the converged solution, updating the damage variables

Definition at line 214 of file TPZLadeKim.h.

References TPZTensor< T >::Add(), faPa, fInitialEps, TPZTensor< T >::Identity(), and TPZPlasticState< T >::m_eps_t.

Referenced by LKBiaxialTest(), LKKoCompressionLoadTest(), LKLoadingTest(), and TPZPlasticTest::UndocumentedTest2().

◆ ApplyStrainComputeSigma()

virtual void TPZLadeKim::ApplyStrainComputeSigma	(	const TPZTensor< REAL > &	epsTotal,
		TPZTensor< REAL > &	sigma,
		TPZFMatrix< REAL > *	tangent = `NULL`
	)

inlineoverridevirtual

Definition at line 227 of file TPZLadeKim.h.

References TPZTensor< T >::Add(), DebugStop, faPa, fInitialEps, TPZTensor< T >::Identity(), and TPZPlasticState< T >::m_eps_t.

◆ CheckConv()

static void TPZLadeKim::CheckConv ( )

inlinestatic

Definition at line 516 of file TPZLadeKim.h.

References _XX_, _XY_, _XZ_, _YY_, _YZ_, _ZZ_, CheckConvergence(), input, TPZYCLadeKim::NYield, PlainConcrete(), and TPZManVector< T, NumExtAlloc >::Resize().

◆ ClassId()

int TPZLadeKim::ClassId ( ) const

override

Definition at line 4 of file TPZLadeKim.cpp.

References Hash().

Referenced by Print().

◆ ComputeTangent()

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

inline

Definition at line 585 of file TPZLadeKim.h.

References gRefResidual, TPZPlasticState< T >::m_eps_p, TPZPlasticState< T >::m_eps_t, TPZPlasticState< T >::m_hardening, TPZYCLadeKim::NYield, and TPZFMatrix< TVar >::Redim().

◆ DenseSacrRiverSand()

static void TPZLadeKim::DenseSacrRiverSand ( TPZLadeKim & material )

inlinestatic

Definition at line 383 of file TPZLadeKim.h.

References h, m, and SetUp().

Referenced by TPZPlasticTest::CreatePlasticModel(), LKBiaxialTest(), and TPZPlasticTest::UndocumentedTest2().

◆ FineSilicaSand()

static void TPZLadeKim::FineSilicaSand ( TPZLadeKim & material )

inlinestatic

Definition at line 411 of file TPZLadeKim.h.

References h, m, and SetUp().

Referenced by TPZPlasticTest::CreatePlasticModel(), LKBiaxialTest(), LKFineSilicaLoadTest(), LKKoCompressionLoadTest(), LKLoadingTest(), and TPZPlasticTest::UndocumentedTest2().

◆ FineSilicaSandPaperIII()

static void TPZLadeKim::FineSilicaSandPaperIII ( TPZLadeKim & material )

inlinestatic

Definition at line 439 of file TPZLadeKim.h.

References h, m, and SetUp().

◆ GetNYield()

virtual int TPZLadeKim::GetNYield ( ) const

inlinevirtual

Definition at line 556 of file TPZLadeKim.h.

References as_integer(), and NYield.

◆ GetState()

virtual TPZPlasticState<REAL> TPZLadeKim::GetState ( ) const

inlineoverridevirtual

Retrieve the plastic state variables

Definition at line 172 of file TPZLadeKim.h.

References fInitialEps.

◆ LoadState()

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

inline

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

Definition at line 570 of file TPZLadeKim.h.

References gRefResidual, and TPZYCLadeKim::NYield.

◆ LooseSacrRiverSand()

static void TPZLadeKim::LooseSacrRiverSand ( TPZLadeKim & material )

inlinestatic

Definition at line 355 of file TPZLadeKim.h.

References h, m, and SetUp().

Referenced by TPZPlasticTest::CreatePlasticModel(), and LKBiaxialTest().

◆ LooseSantaMonicaBeachSand()

static void TPZLadeKim::LooseSantaMonicaBeachSand ( TPZLadeKim & material )

inlinestatic

Definition at line 467 of file TPZLadeKim.h.

References h, m, NumCases(), and SetUp().

Referenced by LadeKimTriaxialLooseSand().

◆ Name()

virtual const char* TPZLadeKim::Name ( ) const

inlineoverridevirtual

Definition at line 69 of file TPZLadeKim.h.

Referenced by Print().

◆ NumCases()

int TPZLadeKim::NumCases ( )

inline

number of types of residuals

Definition at line 565 of file TPZLadeKim.h.

Referenced by LooseSantaMonicaBeachSand().

◆ operator=()

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

inline

Definition at line 60 of file TPZLadeKim.h.

References faPa, and fInitialEps.

◆ Phi()

virtual void TPZLadeKim::Phi	(	const TPZTensor< REAL > &	epsTotal,
		TPZVec< REAL > &	phi
	)		const

inlineoverridevirtual

return the value of the yield functions for the given deformation

Parameters

epsTotal	[in] deformation tensor (total deformation
phi	[out] vector of yield functions

Definition at line 263 of file TPZLadeKim.h.

References TPZTensor< T >::Add(), fInitialEps, and TPZPlasticState< T >::m_eps_t.

◆ PlainConcrete()

static void TPZLadeKim::PlainConcrete ( TPZLadeKim & material )

inlinestatic

Definition at line 299 of file TPZLadeKim.h.

References h, m, and SetUp().

Referenced by CheckConv(), TPZPlasticTest::CreatePlasticModel(), TPZPlasticTest::DruckerTest(), LKBiaxialTest(), LKIsotropicCompression(), and LKLoadingTest().

◆ PlainConcreteMPa()

static void TPZLadeKim::PlainConcreteMPa ( TPZLadeKim & material )

inlinestatic

Definition at line 326 of file TPZLadeKim.h.

References h, m, and SetUp().

◆ Print()

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

inlineoverridevirtual

Definition at line 111 of file TPZLadeKim.h.

References ClassId(), faPa, fInitialEps, and Name().

◆ Read()

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

inlineoverride

Definition at line 142 of file TPZLadeKim.h.

References faPa, fInitialEps, TPZPlasticState< T >::m_eps_p, TPZPlasticState< T >::m_eps_t, TPZPlasticState< T >::m_hardening, TPZPlasticState< T >::Read(), and TPZStream::Read().

◆ Residual()

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

inline

Definition at line 639 of file TPZLadeKim.h.

References gRefResidual, TPZPlasticState< T >::m_eps_p, TPZPlasticState< T >::m_eps_t, TPZPlasticState< T >::m_hardening, TPZYCLadeKim::NYield, TPZFMatrix< TVar >::Redim(), and test::res.

◆ SetState()

virtual void TPZLadeKim::SetState ( const TPZPlasticState< REAL > & state )

inlineoverridevirtual

Set the plastic state variables

Definition at line 162 of file TPZLadeKim.h.

References fInitialEps.

Referenced by TPZPlasticTest::UndocumentedTest2().

◆ SetUp() [1/2]

void TPZLadeKim::SetUp	(	REAL	poisson,
		REAL	M,
		REAL	lambda,
		REAL	a,
		REAL	m,
		REAL	neta1,
		REAL	ksi2,
		REAL	mu,
		REAL	C,
		REAL	p,
		REAL	h,
		REAL	alpha,
		REAL	pa
	)

inline

SetUp feeds all the parameters necessary to the method, distributing its values inside the aggregation hierarchy and computing the correct initial plasticity parameter to ensure the irreversibility effect of plastic deformations. Elastic Mudulus: poisson, M, lambda Failure Criterion: a, m, neta1 Plastic Potential: ksi2, mu Hardening Function: C, p Yield Function: h, alpha Atmospheric pression pa - to dimensionalize/adim. the stresses

Definition at line 85 of file TPZLadeKim.h.

References ApplyLoad(), fabs, faPa, fInitialEps, and pow().

Referenced by DenseSacrRiverSand(), FineSilicaSand(), FineSilicaSandPaperIII(), LKBiaxialTest(), LooseSacrRiverSand(), LooseSantaMonicaBeachSand(), PlainConcrete(), and PlainConcreteMPa().

◆ SetUp() [2/2]

virtual void TPZLadeKim::SetUp ( const TPZTensor< REAL > & epsTotal )

inlineoverridevirtual

Definition at line 107 of file TPZLadeKim.h.

◆ Write()

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

inlineoverride

Definition at line 125 of file TPZLadeKim.h.

References faPa, fInitialEps, TPZPlasticState< T >::m_eps_p, TPZPlasticState< T >::m_eps_t, TPZPlasticState< T >::m_hardening, TPZStream::Write(), and TPZPlasticState< T >::Write().

Member Data Documentation

◆ faPa

REAL TPZLadeKim::faPa

private

variable related to the stress translation to simulate material cohesion Already contains dimensional factor

Definition at line 278 of file TPZLadeKim.h.

Referenced by ApplyLoad(), ApplyStrainComputeDep(), ApplyStrainComputeSigma(), operator=(), Print(), Read(), SetUp(), TPZLadeKim(), and Write().

◆ fInitialEps

TPZPlasticState<REAL> TPZLadeKim::fInitialEps

private

variable to store the plastic state related to the unstressed state in a framework of a cohesion material. Since LadeKim models the cohesion material with the stress axis translated from a value of a, it is important to keep the related elastic deformation in this variable to subtract it from the epstotal answers. It is done because, intuitively, the initially nonstressed state should relate to an initially undeformed state.

Definition at line 289 of file TPZLadeKim.h.

Referenced by ApplyLoad(), ApplyStrain(), ApplyStrainComputeDep(), ApplyStrainComputeSigma(), GetState(), operator=(), Phi(), Print(), Read(), SetState(), SetUp(), TPZLadeKim(), and Write().

◆ gRefResidual

TPZManVector<REAL,6+6+1+TPZYCLadeKim::NYield> TPZLadeKim::gRefResidual

static

Definition at line 504 of file TPZLadeKim.h.

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

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

Material/REAL/Plasticity/TPZLadeKim.h
Material/REAL/Plasticity/TPZLadeKim.cpp

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Private Attributes

Detailed Description

Member Enumeration Documentation

◆ anonymous enum

Constructor & Destructor Documentation

◆ TPZLadeKim() [1/2]

◆ TPZLadeKim() [2/2]

Member Function Documentation

◆ ApplyLoad()

◆ ApplyStrain()

◆ ApplyStrainComputeDep()

◆ ApplyStrainComputeSigma()

◆ CheckConv()

◆ ClassId()

◆ ComputeTangent()

◆ DenseSacrRiverSand()

◆ FineSilicaSand()

◆ FineSilicaSandPaperIII()

◆ GetNYield()

◆ GetState()

◆ LoadState()

◆ LooseSacrRiverSand()

◆ LooseSantaMonicaBeachSand()

◆ Name()

◆ NumCases()

◆ operator=()

◆ Phi()

◆ PlainConcrete()

◆ PlainConcreteMPa()

◆ Print()

◆ Read()

◆ Residual()

◆ SetState()

◆ SetUp() [1/2]

◆ SetUp() [2/2]

◆ Write()

Member Data Documentation

◆ faPa

◆ fInitialEps

◆ gRefResidual