Description Linear elastic equations. More...

#include <TPZMatElasticity2D.h>

Inheritance diagram for TPZMatElasticity2D:

Collaboration diagram for TPZMatElasticity2D:

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

	TPZMatElasticity2D ()

	TPZMatElasticity2D (int matid, REAL E, REAL nu, REAL fx, REAL fy, int plainstress=1)
	Creates an elastic material with: More...

	TPZMatElasticity2D (int matid)

TPZMatElasticity2D &	operator= (const TPZMatElasticity2D &copy)

virtual	~TPZMatElasticity2D ()

	TPZMatElasticity2D (const TPZMatElasticity2D &cp)
	Copy constructor. More...

virtual TPZMaterial *	NewMaterial () override
	To create another material of the same type. More...

virtual void	Print (std::ostream &out) override
	Prints out the data associated with the material. More...

virtual std::string	Name () override
	Returns the name of the material. More...

int	Dimension () const override
	Returns the integrable dimension of the material. More...

virtual int	NStateVariables () const override
	Returns the number of state variables associated with the material. More...

void	SetParameters (REAL Lambda, REAL mu, REAL fx, REAL fy)
	Set parameters of elastic material: More...

void	SetElasticParameters (REAL Eyoung, REAL nu)
	Set parameters of elastic material: More...

void	SetElasticity (REAL Ey, REAL nu)
	Set parameters of elastic material: More...

void	SetPlaneStress ()
	Set plane stress problem. More...

void	SetPlaneStrain ()
	Set plane strain problem. More...

void	SetPreStress (REAL SigmaXX, REAL SigmaXY, REAL SigmaYY, REAL SigmaZZ)
	Set Initial Stress. More...

void	ComputeSigma (const TPZFMatrix< STATE > &dudx, TPZFMatrix< STATE > &sigma)
	compute the stress tensor as a function of the solution gradient More...

void	GetElasticParameters (REAL &Ey, REAL &nu, REAL &Lambda, REAL &G)

STATE	GetEyoung ()
	Get Eyoung and Poisson m_E young modulus m_nu Poisson ratio. More...

STATE	GetNu ()

STATE	GetLambda ()
	Get lame parameters Lambda first lame Mu Second lame. More...

STATE	GetMu ()

virtual void	FillDataRequirements (TPZMaterialData &data) override
	Fill material data parameter with necessary requirements for the. More...

virtual void	FillBoundaryConditionDataRequirement (int type, TPZMaterialData &data) override
	This method defines which parameters need to be initialized in order to compute the contribution of the boundary condition. More...

virtual void	Contribute (TPZMaterialData &data, REAL weight, TPZFMatrix< STATE > &ek, TPZFMatrix< STATE > &ef) override
	It computes a contribution to the stiffness matrix and load vector at one integration point to multiphysics simulation. More...

virtual void	Contribute (TPZMaterialData &data, REAL weight, TPZFMatrix< STATE > &ef) override
	It computes a contribution to the residual vector at one integration point. More...

void	ContributeVec (TPZMaterialData &data, REAL weight, TPZFMatrix< STATE > &ek, TPZFMatrix< STATE > &ef)

void	ContributeVec (TPZMaterialData &data, REAL weight, TPZFMatrix< STATE > &ef)

virtual void	ContributeBC (TPZMaterialData &data, REAL weight, TPZFMatrix< STATE > &ek, TPZFMatrix< STATE > &ef, TPZBndCond &bc) override
	It computes a contribution to the stiffness matrix and load vector at one BC integration point. More...

virtual void	ContributeBC (TPZMaterialData &data, REAL weight, TPZFMatrix< STATE > &ef, TPZBndCond &bc) override
	It computes a contribution to the stiffness matrix and load vector at one BC integration point. More...

virtual int	VariableIndex (const std::string &name) override

virtual int	NSolutionVariables (int var) override
	Returns the number of variables associated with the variable indexed by var. More...

virtual void	Solution (TPZMaterialData &data, int var, TPZVec< STATE > &Solout) override
	Returns the solution associated with the var index based on the finite element approximation. More...

virtual void	Solution (TPZMaterialData &data, TPZVec< TPZMaterialData > &dataleftvec, TPZVec< TPZMaterialData > &datarightvec, int var, TPZVec< STATE > &Solout, TPZCompEl Left, TPZCompEl Right) override
	Returns the solution associated with the var index based on the finite element approximation around one interface element. More...

virtual void	Errors (TPZVec< REAL > &x, TPZVec< STATE > &sol, TPZFMatrix< STATE > &dsol, TPZFMatrix< REAL > &axes, TPZVec< STATE > &flux, TPZVec< STATE > &uexact, TPZFMatrix< STATE > &duexact, TPZVec< REAL > &val) override
	Computes the error due to the difference between the interpolated flux and the flux computed based on the derivative of the solution. More...

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

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

Public Member Functions inherited from TPZMaterial
	TPZMaterial (int id)
	Creates a material object and inserts it in the vector of material pointers of the mesh. More...

	TPZMaterial ()
	Default constructor. More...

	TPZMaterial (const TPZMaterial &mat)
	Creates a material object based on the referred object and inserts it in the vector of material pointers of the mesh. More...

TPZMaterial &	operator= (const TPZMaterial &copy)
	operator = More...

virtual	~TPZMaterial ()
	Default destructor. More...

virtual void	FillDataRequirements (TPZVec< TPZMaterialData > &datavec)
	Fill material data parameter with necessary requirements for the Contribute method. Here, in base class, all requirements are considered as necessary. Each derived class may optimize performance by selecting only the necessary data. More...

virtual void	FillBoundaryConditionDataRequirement (int type, TPZVec< TPZMaterialData > &datavec)
	This method defines which parameters need to be initialized in order to compute the contribution of the boundary condition. More...

virtual void	FillDataRequirementsInterface (TPZMaterialData &data)
	This method defines which parameters need to be initialized in order to compute the contribution of interface elements. More...

virtual void	FillDataRequirementsInterface (TPZMaterialData &data, TPZVec< TPZMaterialData > &datavec_left, TPZVec< TPZMaterialData > &datavec_right)
	This method defines which parameters need to be initialized in order to compute the contribution of interface elements. More...

int	Id () const

void	SetId (int id)

virtual int	NFluxes ()
	Returns the number of components which form the flux function. More...

int	NumLoadCases ()
	returns the number of load cases for this material object More...

virtual int	MinimumNumberofLoadCases ()
	returns the minimum number of load cases for this material More...

void	SetNumLoadCases (int numloadcases)
	changes the number of load cases for this material More...

void	SetPostProcessIndex (int index)
	indicates which variable should be post processed More...

virtual TPZBndCond *	CreateBC (TPZMaterial *reference, int id, int typ, TPZFMatrix< STATE > &val1, TPZFMatrix< STATE > &val2)
	Creates an object TPZBndCond derived of TPZMaterial. More...

void	SetForcingFunction (TPZAutoPointer< TPZFunction< STATE > > fp)
	Sets a procedure as source function for the material. More...

void	SetForcingFunction (void(*fp)(const TPZVec< REAL > &loc, TPZVec< STATE > &result), int porder)

void	SetForcingFunction (void(*fp)(const TPZVec< REAL > &loc, TPZVec< STATE > &result, TPZFMatrix< STATE > &gradu), int porder)

TPZAutoPointer< TPZFunction< STATE > > &	ForcingFunction ()
	Returns a procedure as source function for the material. More...

void	SetForcingFunctionExact (TPZAutoPointer< TPZFunction< STATE > > fp)
	Sets a procedure as exact solution for the problem. More...

TPZAutoPointer< TPZFunction< STATE > > &	ForcingFunctionExact ()
	Returns a procedure as exact solution for the problem. More...

void	SetTimeDependentForcingFunction (TPZAutoPointer< TPZFunction< STATE > > fp)
	Sets a procedure as time dependent source function for the material. More...

TPZAutoPointer< TPZFunction< STATE > > &	TimeDependentForcingFunction ()
	Returns a procedure as time dependent source function for the material. More...

void	SetTimeDependentFunctionExact (TPZAutoPointer< TPZFunction< STATE > > fp)
	Sets a procedure as time dependent exact solution for the problem. More...

TPZAutoPointer< TPZFunction< STATE > > &	TimedependentFunctionExact ()
	Returns a procedure as time dependent exact solution for the problem. More...

void	SetBCForcingFunction (TPZAutoPointer< TPZFunction< STATE > > fp)
	Sets a procedure as variable boundary condition. More...

TPZAutoPointer< TPZFunction< STATE > > &	BCForcingFunction ()
	Returns a procedure as variable boundary condition. More...

void	SetTimedependentBCForcingFunction (TPZAutoPointer< TPZFunction< STATE > > fp)
	Sets a procedure as time variable boundary condition. More...

TPZAutoPointer< TPZFunction< STATE > > &	TimedependentBCForcingFunction ()
	Returns a procedure as time variable boundary condition. More...

virtual int	HasForcingFunction ()
	Directive that gives true if the material has a forcing function. More...

virtual int	HasForcingFunctionExact ()
	Directive that gives true if the material has a function exact. More...

virtual int	HasBCForcingFunction ()
	Directive that gives true if the material has a bc forcing function exact. More...

virtual int	HasTimedependentFunctionExact ()
	Directive that gives true if the material has a time dependent function exact. More...

virtual int	HasTimedependentForcingFunction ()
	Directive that gives true if the material has a time dependent forcing function. More...

virtual int	HasTimedependentBCForcingFunction ()
	Directive that gives true if the material has a time dependent bc forcing function. More...

virtual int	IntegrationRuleOrder (int elPMaxOrder) const
	Gets the order of the integration rule necessary to integrate an element with polinomial order p. More...

virtual int	IntegrationRuleOrder (TPZVec< int > &elPMaxOrder) const
	Gets the order of the integration rule necessary to integrate an element multiphysic. More...

virtual void	Errors (TPZMaterialData &data, TPZVec< STATE > &u_exact, TPZFMatrix< STATE > &du_exact, TPZVec< REAL > &errors)

virtual void	Errors (TPZVec< TPZMaterialData > &data, TPZVec< STATE > &u_exact, TPZFMatrix< STATE > &du_exact, TPZVec< REAL > &errors)

virtual void	ErrorsHdiv (TPZMaterialData &data, TPZVec< STATE > &u_exact, TPZFMatrix< STATE > &du_exact, TPZVec< REAL > &values)

virtual int	NEvalErrors ()
	Returns the number of norm errors. Default is 3: energy, L2 and H1. More...

virtual void	SetData (std::istream &data)
	Reads data of the material from a istream (file data) More...

virtual void	Clone (std::map< int, TPZMaterial * > &matvec)
	Creates a copy of the material object and put it in the vector which is passed on. More...

virtual int	FluxType ()
	To return a numerical flux type to apply over the interfaces of the elements. More...

virtual void	ContributeErrors (TPZMaterialData &data, REAL weight, TPZVec< REAL > &nk, int &errorid)

virtual REAL	ComputeSquareResidual (TPZVec< REAL > &X, TPZVec< STATE > &sol, TPZFMatrix< STATE > &dsol)
	Computes square of residual of the differential equation at one integration point. More...

virtual int	PushMemItem (int sourceIndex=-1)
	Pushes a new entry in the context of materials with memory, returning its index at the internal storage stack. More...

virtual void	FreeMemItem (int index)
	Frees an entry in the material with memory internal history storage. More...

void	SetLinearContext (bool IsLinear)
	Sets fLinearContext attribute. More...

bool	GetLinearContext () const
	Returns fLinearContext attribute. More...

virtual void	Contribute (TPZVec< TPZMaterialData > &datavec, REAL weight, TPZFMatrix< STATE > &ek, TPZFMatrix< STATE > &ef)
	It computes a contribution to the stiffness matrix and load vector at one integration point to multiphysics simulation. More...

virtual void	Contribute (TPZVec< TPZMaterialData > &datavec, REAL weight, TPZFMatrix< STATE > &ef)
	It computes a contribution to the stiffness matrix and load vector at one integration point to multiphysics simulation. More...

virtual void	ContributeBC (TPZVec< TPZMaterialData > &datavec, REAL weight, TPZFMatrix< STATE > &ef, TPZBndCond &bc)
	It computes a contribution to the stiffness matrix and load vector at one BC integration point to multiphysics simulation. More...

virtual void	ContributeBC (TPZVec< TPZMaterialData > &datavec, REAL weight, TPZFMatrix< STATE > &ek, TPZFMatrix< STATE > &ef, TPZBndCond &bc)
	It computes a contribution to the stiffness matrix and load vector at one BC integration point to multiphysics simulation. More...

int	ClassId () const override
	Unique identifier for serialization purposes. More...

void	Write (TPZStream &buf, int withclassid) const override
	Saves the element data to a stream. More...

void	Read (TPZStream &buf, void *context) override
	Reads the element data from a stream. More...

virtual void	Solution (TPZVec< TPZMaterialData > &datavec, int var, TPZVec< STATE > &Solout)
	Returns the solution associated with the var index based on the finite element approximation. More...

virtual void	Solution (TPZMaterialData &data, TPZVec< TPZMaterialData > &dataleftvec, TPZVec< TPZMaterialData > &datarightvec, int var, TPZVec< STATE > &Solout)
	Returns the solution associated with the var index based on the finite element approximation around one interface element. More...

virtual void	Flux (TPZVec< REAL > &x, TPZVec< STATE > &Sol, TPZFMatrix< STATE > &DSol, TPZFMatrix< REAL > &axes, TPZVec< STATE > &flux)
	Computes the value of the flux function to be used by ZZ error estimator. More...

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

Protected Attributes
TPZManVector< STATE, 2 >	m_f
	Forcing vector. More...

REAL	m_E
	Elasticity modulus. More...

REAL	m_nu
	Poison coeficient. More...

REAL	m_lambda
	first Lame Parameter More...

REAL	m_mu
	Second Lame Parameter. More...

REAL	m_s0_xx
	Initial Stress. More...

REAL	m_s0_xy

REAL	m_s0_yy

REAL	m_s0_zz

int	m_plane_stress
	plain stress directive More...

Protected Attributes inherited from TPZMaterial
TPZAutoPointer< TPZFunction< STATE > >	fForcingFunction
	Pointer to forcing function, it is the right member at differential equation. More...

TPZAutoPointer< TPZFunction< STATE > >	fForcingFunctionExact
	Pointer to exact solution function, needed to calculate exact error. More...

TPZAutoPointer< TPZFunction< STATE > >	fTimeDependentForcingFunction
	Pointer to time dependent forcing function, it is the right member at differential equation. More...

TPZAutoPointer< TPZFunction< STATE > >	fTimedependentFunctionExact
	Pointer to time dependent exact solution function, needed to calculate exact error. More...

TPZAutoPointer< TPZFunction< STATE > >	fBCForcingFunction
	Pointer to bc forcing function, it is a variable boundary condition at differential equation. More...

TPZAutoPointer< TPZFunction< STATE > >	fTimedependentBCForcingFunction
	Pointer to time dependent bc forcing function, it is a variable boundary condition at differential equation. More...

bool	fLinearContext
	Defines whether the equation context is linear solver or non linear. More...

int	fNumLoadCases
	Defines the number of load cases generated by this material. More...

int	fPostProcIndex
	indicates which solution should be used for post processing More...

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)

Static Public Attributes inherited from TPZMaterial
static REAL	gBigNumber
	Big number to penalization method, used for Dirichlet conditions. More...

Protected Member Functions inherited from TPZMaterial
virtual void	Solution (TPZVec< STATE > &Sol, TPZFMatrix< STATE > &DSol, TPZFMatrix< REAL > &axes, int var, TPZVec< STATE > &Solout)

Detailed Description

Description Linear elastic equations.

$ div(T(u)) + b = 0 ==> Int{Grad(v).T(u)}dx - Int{v.gN}ds = Int{b.v}dx $ (Eq. 1)

$ T(u) = lambda*Trace(E(u)I + 2*mu*(E(u)) - $

$ E(u) = (1/2)(Grad(u) + Transpose(Grad(u)) $

Definition at line 32 of file TPZMatElasticity2D.h.

Constructor & Destructor Documentation

◆ TPZMatElasticity2D() [1/4]

TPZMatElasticity2D::TPZMatElasticity2D ( )

Definition at line 22 of file TPZMatElasticity2D.cpp.

References m_E, m_f, m_lambda, m_mu, m_nu, m_plane_stress, m_s0_xx, m_s0_xy, m_s0_yy, m_s0_zz, and TPZVec< T >::resize().

Referenced by NewMaterial().

◆ TPZMatElasticity2D() [2/4]

TPZMatElasticity2D::TPZMatElasticity2D	(	int	matid,
		REAL	E,
		REAL	nu,
		REAL	fx,
		REAL	fy,
		int	plainstress = `1`
	)

Creates an elastic material with:

Parameters

id	material id
E	elasticity modulus
nu	poisson coefficient
fx	forcing function
fy	forcing function
plainstress	indicates use of plainstress

Definition at line 57 of file TPZMatElasticity2D.cpp.

References m_E, m_f, m_lambda, m_mu, m_nu, m_plane_stress, m_s0_xx, m_s0_xy, m_s0_yy, m_s0_zz, and TPZVec< T >::resize().

◆ TPZMatElasticity2D() [3/4]

TPZMatElasticity2D::TPZMatElasticity2D ( int matid )

Definition at line 40 of file TPZMatElasticity2D.cpp.

References m_E, m_f, m_lambda, m_mu, m_nu, m_plane_stress, m_s0_xx, m_s0_xy, m_s0_yy, m_s0_zz, and TPZVec< T >::resize().

◆ ~TPZMatElasticity2D()

TPZMatElasticity2D::~TPZMatElasticity2D ( )

virtual

Definition at line 74 of file TPZMatElasticity2D.cpp.

◆ TPZMatElasticity2D() [4/4]

TPZMatElasticity2D::TPZMatElasticity2D ( const TPZMatElasticity2D & cp )

Copy constructor.

Definition at line 79 of file TPZMatElasticity2D.cpp.

References m_E, m_f, m_lambda, m_mu, m_nu, m_plane_stress, m_s0_xx, m_s0_xy, m_s0_yy, m_s0_zz, TPZVec< T >::resize(), and TPZVec< T >::size().

Member Function Documentation

◆ ClassId()

int TPZMatElasticity2D::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 1128 of file TPZMatElasticity2D.cpp.

References TPZMaterial::ClassId(), and Hash().

◆ ComputeSigma()

void TPZMatElasticity2D::ComputeSigma	(	const TPZFMatrix< STATE > &	dudx,
		TPZFMatrix< STATE > &	sigma
	)

compute the stress tensor as a function of the solution gradient

Definition at line 447 of file TPZMatElasticity2D.cpp.

References TPZMatrix< TVar >::Cols(), DebugStop, TPZFMatrix< TVar >::g(), m_lambda, m_mu, m_plane_stress, and TPZMatrix< TVar >::Rows().

Referenced by Errors(), and SetPreStress().

◆ Contribute() [1/2]

void TPZMatElasticity2D::Contribute	(	TPZMaterialData &	data,
		REAL	weight,
		TPZFMatrix< STATE > &	ek,
		TPZFMatrix< STATE > &	ef
	)

overridevirtual

It computes a contribution to the stiffness matrix and load vector at one integration point to multiphysics simulation.

Parameters

datavec	[in] stores all input data
weight	[in] is the weight of the integration rule
ek	[out] is the stiffness matrix
ef	[out] is the load vector

Implements TPZMaterial.

Definition at line 121 of file TPZMatElasticity2D.cpp.

References TPZMaterialData::axes, TPZAxesTools< TVar >::Axes2XYZ(), ContributeVec(), TPZMaterialData::dphix, TPZMaterialData::dsol, TPZMaterialData::EVecShape, TPZFunction< TVar >::Execute(), TPZMaterial::fForcingFunction, TPZMaterialData::fShapeType, TPZMaterial::HasForcingFunction(), m_f, m_lambda, m_mu, m_plane_stress, m_s0_xx, m_s0_xy, m_s0_yy, TPZMaterialData::phi, TPZMatrix< TVar >::Rows(), and TPZMaterialData::x.

Referenced by GetMu().

◆ Contribute() [2/2]

void TPZMatElasticity2D::Contribute	(	TPZMaterialData &	data,
		REAL	weight,
		TPZFMatrix< STATE > &	ef
	)

overridevirtual

It computes a contribution to the residual vector at one integration point.

Parameters

data	[in] stores all input data
weight	[in] is the weight of the integration rule
ef	[out] is the residual vector

Since: April 16, 2007

Reimplemented from TPZMaterial.

Definition at line 375 of file TPZMatElasticity2D.cpp.

References TPZMaterialData::axes, TPZAxesTools< TVar >::Axes2XYZ(), ContributeVec(), TPZMaterialData::dphix, TPZMaterialData::dsol, TPZMaterialData::EVecShape, TPZFunction< TVar >::Execute(), TPZMaterial::fForcingFunction, TPZMaterialData::fShapeType, TPZMaterial::HasForcingFunction(), m_f, m_lambda, m_mu, m_plane_stress, m_s0_xx, m_s0_xy, m_s0_yy, TPZMaterialData::phi, TPZMatrix< TVar >::Rows(), and TPZMaterialData::x.

◆ ContributeBC() [1/2]

void TPZMatElasticity2D::ContributeBC	(	TPZMaterialData &	data,
		REAL	weight,
		TPZFMatrix< STATE > &	ek,
		TPZFMatrix< STATE > &	ef,
		TPZBndCond &	bc
	)

overridevirtual

It computes a contribution to the stiffness matrix and load vector at one BC integration point.

Parameters

data	[in] stores all input data
weight	[in] is the weight of the integration rule
ek	[out] is the stiffness matrix
ef	[out] is the load vector
bc	[in] is the boundary condition material

Since: October 07, 2011

Implements TPZMaterial.

Definition at line 476 of file TPZMatElasticity2D.cpp.

References DebugStop, Dimension(), TPZMaterialData::dsol, TPZFunction< TVar >::Execute(), TPZMaterial::ForcingFunction(), TPZMaterial::gBigNumber, TPZMaterial::HasForcingFunction(), idf, TPZMaterialData::normal, TPZMaterialData::phi, PZError, test::res, TPZMatrix< TVar >::Rows(), TPZMaterialData::sol, TPZBndCond::Type(), TPZBndCond::Val1(), TPZBndCond::Val2(), and TPZMaterialData::x.

Referenced by GetMu().

◆ ContributeBC() [2/2]

void TPZMatElasticity2D::ContributeBC	(	TPZMaterialData &	data,
		REAL	weight,
		TPZFMatrix< STATE > &	ef,
		TPZBndCond &	bc
	)

overridevirtual

It computes a contribution to the stiffness matrix and load vector at one BC integration point.

Parameters

data	[in] stores all input data
weight	[in] is the weight of the integration rule
ef	[out] is the load vector
bc	[in] is the boundary condition material

Since: April 16, 2007

Reimplemented from TPZMaterial.

Definition at line 725 of file TPZMatElasticity2D.cpp.

References DebugStop, Dimension(), TPZMaterialData::dsol, TPZMaterial::gBigNumber, TPZMaterialData::normal, TPZMaterialData::phi, PZError, test::res, TPZMatrix< TVar >::Rows(), TPZMaterialData::sol, TPZBndCond::Type(), TPZBndCond::Val1(), and TPZBndCond::Val2().

◆ ContributeVec() [1/2]

void TPZMatElasticity2D::ContributeVec	(	TPZMaterialData &	data,
		REAL	weight,
		TPZFMatrix< STATE > &	ek,
		TPZFMatrix< STATE > &	ef
	)

Definition at line 221 of file TPZMatElasticity2D.cpp.

References TPZMaterialData::axes, TPZAxesTools< TVar >::Axes2XYZ(), TPZMatrix< TVar >::Cols(), DebugStop, TPZMaterialData::dphix, TPZMaterialData::EVecShape, TPZMaterialData::fShapeType, m_E, m_lambda, m_mu, m_nu, and m_plane_stress.

Referenced by Contribute(), and GetMu().

◆ ContributeVec() [2/2]

void TPZMatElasticity2D::ContributeVec	(	TPZMaterialData &	data,
		REAL	weight,
		TPZFMatrix< STATE > &	ef
	)

◆ Dimension()

int TPZMatElasticity2D::Dimension ( ) const

inlineoverridevirtual

Returns the integrable dimension of the material.

Implements TPZMaterial.

Definition at line 97 of file TPZMatElasticity2D.h.

References NStateVariables().

Referenced by ContributeBC().

◆ Errors()

void TPZMatElasticity2D::Errors	(	TPZVec< REAL > &	x,
		TPZVec< STATE > &	sol,
		TPZFMatrix< STATE > &	dsol,
		TPZFMatrix< REAL > &	axes,
		TPZVec< STATE > &	flux,
		TPZVec< STATE > &	uexact,
		TPZFMatrix< STATE > &	duexact,
		TPZVec< REAL > &	val
	)

overridevirtual

Computes the error due to the difference between the interpolated flux
and the flux computed based on the derivative of the solution.

Reimplemented from TPZMaterial.

Definition at line 1136 of file TPZMatElasticity2D.cpp.

References TPZAxesTools< TVar >::Axes2XYZ(), and ComputeSigma().

Referenced by Solution().

◆ FillBoundaryConditionDataRequirement()

void TPZMatElasticity2D::FillBoundaryConditionDataRequirement	(	int	type,
		TPZMaterialData &	data
	)

overridevirtual

This method defines which parameters need to be initialized in order to compute the contribution of the boundary condition.

Reimplemented from TPZMaterial.

Definition at line 901 of file TPZMatElasticity2D.cpp.

References TPZMaterialData::fNeedsNormal, TPZMaterialData::fNeedsSol, and TPZMaterialData::SetAllRequirements().

Referenced by GetMu().

◆ FillDataRequirements()

void TPZMatElasticity2D::FillDataRequirements ( TPZMaterialData & data )

overridevirtual

Fill material data parameter with necessary requirements for the.

Since: April 10, 2007 Contribute method. Here, in base class, all requirements are considered as necessary. Each derived class may optimize performance by selecting only the necessary data.

Reimplemented from TPZMaterial.

Definition at line 892 of file TPZMatElasticity2D.cpp.

References TPZMaterialData::fNeedsNeighborCenter, TPZMaterialData::fNeedsNeighborSol, TPZMaterialData::fNeedsNormal, TPZMaterialData::fNeedsSol, and TPZMaterialData::SetAllRequirements().

Referenced by GetMu().

◆ GetElasticParameters()

void TPZMatElasticity2D::GetElasticParameters	(	REAL &	Ey,
		REAL &	nu,
		REAL &	Lambda,
		REAL &	G
	)

inline

Definition at line 171 of file TPZMatElasticity2D.h.

References m_E, m_lambda, m_mu, and m_nu.

◆ GetEyoung()

STATE TPZMatElasticity2D::GetEyoung ( )

inline

Get Eyoung and Poisson m_E young modulus m_nu Poisson ratio.

Definition at line 183 of file TPZMatElasticity2D.h.

References m_E.

◆ GetLambda()

STATE TPZMatElasticity2D::GetLambda ( )

inline

Get lame parameters Lambda first lame Mu Second lame.

Definition at line 191 of file TPZMatElasticity2D.h.

References m_lambda.

◆ GetMu()

STATE TPZMatElasticity2D::GetMu ( )

inline

Definition at line 193 of file TPZMatElasticity2D.h.

References bc, Contribute(), ContributeBC(), ContributeVec(), FillBoundaryConditionDataRequirement(), FillDataRequirements(), m_mu, NSolutionVariables(), Solution(), and VariableIndex().

◆ GetNu()

STATE TPZMatElasticity2D::GetNu ( )

inline

Definition at line 185 of file TPZMatElasticity2D.h.

References m_nu.

◆ Name()

virtual std::string TPZMatElasticity2D::Name ( )

inlineoverridevirtual

Returns the name of the material.

Reimplemented from TPZMaterial.

Definition at line 95 of file TPZMatElasticity2D.h.

Referenced by Print().

◆ NewMaterial()

virtual TPZMaterial* TPZMatElasticity2D::NewMaterial ( )

inlineoverridevirtual

To create another material of the same type.

Reimplemented from TPZMaterial.

Definition at line 88 of file TPZMatElasticity2D.h.

References Print(), and TPZMatElasticity2D().

◆ NSolutionVariables()

int TPZMatElasticity2D::NSolutionVariables ( int var )

overridevirtual

Returns the number of variables associated with the variable indexed by var.

Parameters

var	Index variable into the solution, is obtained by calling VariableIndex

Reimplemented from TPZMaterial.

Definition at line 985 of file TPZMatElasticity2D.cpp.

References TPZMaterial::NSolutionVariables().

Referenced by GetMu(), and Solution().

◆ NStateVariables()

int TPZMatElasticity2D::NStateVariables ( ) const

overridevirtual

Returns the number of state variables associated with the material.

Implements TPZMaterial.

Definition at line 116 of file TPZMatElasticity2D.cpp.

Referenced by Dimension().

◆ operator=()

TPZMatElasticity2D & TPZMatElasticity2D::operator= ( const TPZMatElasticity2D & copy )

Definition at line 97 of file TPZMatElasticity2D.cpp.

References m_E, m_f, m_lambda, m_mu, m_nu, m_plane_stress, m_s0_xx, m_s0_xy, m_s0_yy, m_s0_zz, TPZMaterial::operator=(), TPZVec< T >::resize(), and TPZVec< T >::size().

◆ Print()

void TPZMatElasticity2D::Print ( std::ostream & out )

overridevirtual

Prints out the data associated with the material.

Reimplemented from TPZMaterial.

Definition at line 908 of file TPZMatElasticity2D.cpp.

References m_E, m_f, m_lambda, m_mu, m_nu, m_plane_stress, m_s0_xx, m_s0_xy, m_s0_yy, m_s0_zz, Name(), and TPZMaterial::Print().

Referenced by NewMaterial().

◆ Read()

void TPZMatElasticity2D::Read	(	TPZStream &	buf,
		void *	context
	)

overridevirtual

Read the element data from a stream

Reimplemented from TPZSavable.

Definition at line 969 of file TPZMatElasticity2D.cpp.

References m_E, m_f, m_lambda, m_mu, m_nu, m_plane_stress, m_s0_xx, m_s0_xy, m_s0_yy, m_s0_zz, TPZStream::Read(), and TPZMaterial::Read().

Referenced by Solution().

◆ SetElasticity()

void TPZMatElasticity2D::SetElasticity	(	REAL	Ey,
		REAL	nu
	)

inline

Set parameters of elastic material:

Parameters

Eyoung	Young modulus
nu	poisson ratio

Definition at line 135 of file TPZMatElasticity2D.h.

Referenced by SetElasticParameters().

◆ SetElasticParameters()

void TPZMatElasticity2D::SetElasticParameters	(	REAL	Eyoung,
		REAL	nu
	)

inline

Set parameters of elastic material:

Parameters

Eyoung	Young modulus
nu	poisson ratio

Definition at line 125 of file TPZMatElasticity2D.h.

References SetElasticity().

◆ SetParameters()

void TPZMatElasticity2D::SetParameters	(	REAL	Lambda,
		REAL	mu,
		REAL	fx,
		REAL	fy
	)

inline

Set parameters of elastic material:

Parameters

First	Lame Parameter Lambda
Second	Lame Parameter Mu -> G
fx	forcing function
fy	forcing function
plainstress	indicates use of plainstress

Definition at line 109 of file TPZMatElasticity2D.h.

◆ SetPlaneStrain()

void TPZMatElasticity2D::SetPlaneStrain ( )

inline

Set plane strain problem.

Definition at line 153 of file TPZMatElasticity2D.h.

◆ SetPlaneStress()

void TPZMatElasticity2D::SetPlaneStress ( )

inline

Set plane stress problem.

Definition at line 146 of file TPZMatElasticity2D.h.

◆ SetPreStress()

void TPZMatElasticity2D::SetPreStress	(	REAL	SigmaXX,
		REAL	SigmaXY,
		REAL	SigmaYY,
		REAL	SigmaZZ
	)

inline

Set Initial Stress.

Definition at line 159 of file TPZMatElasticity2D.h.

References ComputeSigma().

◆ Solution() [1/2]

void TPZMatElasticity2D::Solution	(	TPZMaterialData &	data,
		int	var,
		TPZVec< STATE > &	Solout
	)

overridevirtual

Returns the solution associated with the var index based on the finite element approximation.

Reimplemented from TPZMaterial.

Definition at line 1001 of file TPZMatElasticity2D.cpp.

References TPZMaterialData::axes, DebugStop, TPZMaterialData::dsol, m_lambda, m_mu, m_nu, m_plane_stress, m_s0_xx, m_s0_xy, m_s0_yy, m_s0_zz, NSolutionVariables(), TPZVec< T >::Resize(), TPZVec< T >::size(), and TPZMaterialData::sol.

Referenced by GetMu().

◆ Solution() [2/2]

virtual void TPZMatElasticity2D::Solution	(	TPZMaterialData &	data,
		TPZVec< TPZMaterialData > &	dataleftvec,
		TPZVec< TPZMaterialData > &	datarightvec,
		int	var,
		TPZVec< STATE > &	Solout,
		TPZCompEl *	left,
		TPZCompEl *	ritgh
	)

inlineoverridevirtual

Returns the solution associated with the var index based on the finite element approximation around one interface element.

Reimplemented from TPZMaterial.

Definition at line 221 of file TPZMatElasticity2D.h.

References DebugStop, Errors(), Read(), val(), and Write().

◆ VariableIndex()

int TPZMatElasticity2D::VariableIndex ( const std::string & name )

overridevirtual

Returns the variable index associated with the name

Reimplemented from TPZMaterial.

Definition at line 929 of file TPZMatElasticity2D.cpp.

References TPZMaterial::VariableIndex().

Referenced by GetMu().

◆ Write()

void TPZMatElasticity2D::Write	(	TPZStream &	buf,
		int	withclassid
	)		const

overridevirtual

Save the element data to a stream

Reimplemented from TPZSavable.

Definition at line 950 of file TPZMatElasticity2D.cpp.

References m_E, m_f, m_lambda, m_mu, m_nu, m_plane_stress, m_s0_xx, m_s0_xy, m_s0_yy, m_s0_zz, TPZStream::Write(), and TPZMaterial::Write().

Referenced by Solution().

Member Data Documentation

◆ m_E

REAL TPZMatElasticity2D::m_E

protected

Elasticity modulus.

Definition at line 40 of file TPZMatElasticity2D.h.

Referenced by ContributeVec(), GetElasticParameters(), GetEyoung(), operator=(), Print(), Read(), TPZMatElasticity2D(), and Write().

◆ m_f

TPZManVector<STATE,2> TPZMatElasticity2D::m_f

protected

Forcing vector.

Definition at line 37 of file TPZMatElasticity2D.h.

Referenced by Contribute(), ContributeVec(), operator=(), Print(), Read(), TPZMatElasticity2D(), and Write().

◆ m_lambda

REAL TPZMatElasticity2D::m_lambda

protected

first Lame Parameter

Definition at line 46 of file TPZMatElasticity2D.h.

Referenced by ComputeSigma(), Contribute(), ContributeVec(), GetElasticParameters(), GetLambda(), operator=(), Print(), Read(), Solution(), TPZMatElasticity2D(), and Write().

◆ m_mu

REAL TPZMatElasticity2D::m_mu

protected

Second Lame Parameter.

Definition at line 49 of file TPZMatElasticity2D.h.

Referenced by ComputeSigma(), Contribute(), ContributeVec(), GetElasticParameters(), GetMu(), operator=(), Print(), Read(), Solution(), TPZMatElasticity2D(), and Write().

◆ m_nu

REAL TPZMatElasticity2D::m_nu

protected

Poison coeficient.

Definition at line 43 of file TPZMatElasticity2D.h.

Referenced by ContributeVec(), GetElasticParameters(), GetNu(), operator=(), Print(), Read(), Solution(), TPZMatElasticity2D(), and Write().

◆ m_plane_stress

int TPZMatElasticity2D::m_plane_stress

protected

plain stress directive

Definition at line 59 of file TPZMatElasticity2D.h.

Referenced by ComputeSigma(), Contribute(), ContributeVec(), operator=(), Print(), Read(), Solution(), TPZMatElasticity2D(), and Write().

◆ m_s0_xx

REAL TPZMatElasticity2D::m_s0_xx

protected

Initial Stress.

Definition at line 52 of file TPZMatElasticity2D.h.

Referenced by Contribute(), ContributeVec(), operator=(), Print(), Read(), Solution(), TPZMatElasticity2D(), and Write().

◆ m_s0_xy

REAL TPZMatElasticity2D::m_s0_xy

protected

Definition at line 53 of file TPZMatElasticity2D.h.

Referenced by Contribute(), ContributeVec(), operator=(), Print(), Read(), Solution(), TPZMatElasticity2D(), and Write().

◆ m_s0_yy

REAL TPZMatElasticity2D::m_s0_yy

protected

Definition at line 54 of file TPZMatElasticity2D.h.

Referenced by Contribute(), ContributeVec(), operator=(), Print(), Read(), Solution(), TPZMatElasticity2D(), and Write().

◆ m_s0_zz

REAL TPZMatElasticity2D::m_s0_zz

protected

Definition at line 55 of file TPZMatElasticity2D.h.

Referenced by operator=(), Print(), Read(), Solution(), TPZMatElasticity2D(), and Write().

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

Material/REAL/TPZMatElasticity2D.h
Material/REAL/TPZMatElasticity2D.cpp

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ TPZMatElasticity2D() [1/4]

◆ TPZMatElasticity2D() [2/4]

◆ TPZMatElasticity2D() [3/4]

◆ ~TPZMatElasticity2D()

◆ TPZMatElasticity2D() [4/4]

Member Function Documentation

◆ ClassId()

◆ ComputeSigma()

◆ Contribute() [1/2]

◆ Contribute() [2/2]

◆ ContributeBC() [1/2]

◆ ContributeBC() [2/2]

◆ ContributeVec() [1/2]

◆ ContributeVec() [2/2]

◆ Dimension()

◆ Errors()

◆ FillBoundaryConditionDataRequirement()

◆ FillDataRequirements()

◆ GetElasticParameters()

◆ GetEyoung()

◆ GetLambda()

◆ GetMu()

◆ GetNu()

◆ Name()

◆ NewMaterial()

◆ NSolutionVariables()

◆ NStateVariables()

◆ operator=()

◆ Print()

◆ Read()

◆ SetElasticity()

◆ SetElasticParameters()

◆ SetParameters()

◆ SetPlaneStrain()

◆ SetPlaneStress()

◆ SetPreStress()

◆ Solution() [1/2]

◆ Solution() [2/2]

◆ VariableIndex()

◆ Write()

Member Data Documentation

◆ m_E

◆ m_f

◆ m_lambda

◆ m_mu

◆ m_nu

◆ m_plane_stress

◆ m_s0_xx

◆ m_s0_xy

◆ m_s0_yy

◆ m_s0_zz