Kratos::DualLagrangeMultiplierOperators< TNumNodes, TNumNodesMaster > Class Template Reference

This is the definition dual lagrange multiplier operators according to the work of Alexander Popp: https://www.lnm.mw.tum.de/staff/alexander-popp/. More...

#include <mortar_classes.h>

Collaboration diagram for Kratos::DualLagrangeMultiplierOperators< TNumNodes, TNumNodesMaster >:

Public Member Functions
Operations
void	Initialize ()
	This method initialized the operators. More...
void	CalculateAeComponents (KinematicVariables &rKinematicVariables, const double rIntegrationWeight)
	Calculates the Ae components necessary to compute the Phi_LagrangeMultipliers shape functions. More...
bool	CalculateAe (GeometryMatrixType &Ae)
	Calculates the matrix Ae. To avoid problems in the inversion the matrix is normalized. More...
template<class TArray >
GeometryMatrixType	ComputeDe (const TArray &N1, const double detJ) const
	Calculates the matrix De. More...
void	PrintInfo (std::ostream &rOStream) const
	Print information about this object. More...

Type Definitions
using	KinematicVariables = MortarKinematicVariables< TNumNodes, TNumNodesMaster >
	The kinematic variables class. More...
using	GeometryMatrixType = BoundedMatrix< double, TNumNodes, TNumNodes >
	The bounded matrix employed class. More...
	KRATOS_CLASS_POINTER_DEFINITION (DualLagrangeMultiplierOperators)
	Counted pointer of DualLagrangeMultiplierOperators. More...

Life Cycle
GeometryMatrixType	Me
	The auxiliary operators needed to build the dual LM Ae operator. More...
GeometryMatrixType	De
	DualLagrangeMultiplierOperators ()
virtual	~DualLagrangeMultiplierOperators ()

Serialization
class	Serializer

Detailed Description

template<const SizeType TNumNodes, const SizeType TNumNodesMaster = TNumNodes>
class Kratos::DualLagrangeMultiplierOperators< TNumNodes, TNumNodesMaster >

This is the definition dual lagrange multiplier operators according to the work of Alexander Popp: https://www.lnm.mw.tum.de/staff/alexander-popp/.

In particular the thesis of contact mechanics based in mortar method available at: https://mediatum.ub.tum.de/?id=1109994 In order to compute the dual LM shape function the Ae operator must be computed, which depends of the Me and De operators. Phi = Ae * NSlave. In a similar way to the mortar operators, the De corresponds with a diagonal operator and Me with a sparse operator respectively. Ae = De * inv(Me) Popp thesis page 69 and following

Author

Vicente Mataix Ferrandiz

Template Parameters

TNumNodes	The number of nodes of the slave
TNumNodesMaster	The number of nodes of the master

Member Typedef Documentation

GeometryMatrixType

template<const SizeType TNumNodes, const SizeType TNumNodesMaster = TNumNodes>

using Kratos::DualLagrangeMultiplierOperators< TNumNodes, TNumNodesMaster >::GeometryMatrixType = BoundedMatrix<double, TNumNodes, TNumNodes>

The bounded matrix employed class.

KinematicVariables

template<const SizeType TNumNodes, const SizeType TNumNodesMaster = TNumNodes>

using Kratos::DualLagrangeMultiplierOperators< TNumNodes, TNumNodesMaster >::KinematicVariables = MortarKinematicVariables<TNumNodes, TNumNodesMaster>

The kinematic variables class.

Constructor & Destructor Documentation

DualLagrangeMultiplierOperators()

template<const SizeType TNumNodes, const SizeType TNumNodesMaster = TNumNodes>

Kratos::DualLagrangeMultiplierOperators< TNumNodes, TNumNodesMaster >::DualLagrangeMultiplierOperators ( )

inline

~DualLagrangeMultiplierOperators()

template<const SizeType TNumNodes, const SizeType TNumNodesMaster = TNumNodes>

virtual Kratos::DualLagrangeMultiplierOperators< TNumNodes, TNumNodesMaster >::~DualLagrangeMultiplierOperators ( )

inlinevirtual

Member Function Documentation

CalculateAe()

template<const SizeType TNumNodes, const SizeType TNumNodesMaster = TNumNodes>

bool Kratos::DualLagrangeMultiplierOperators< TNumNodes, TNumNodesMaster >::CalculateAe ( GeometryMatrixType &  Ae )

inline

Calculates the matrix Ae. To avoid problems in the inversion the matrix is normalized.

Popp thesis page 70. Equation 3.65

Parameters

Ae	The dual Lagrange Multiplier operator

CalculateAeComponents()

template<const SizeType TNumNodes, const SizeType TNumNodesMaster = TNumNodes>

void Kratos::DualLagrangeMultiplierOperators< TNumNodes, TNumNodesMaster >::CalculateAeComponents ( KinematicVariables &  rKinematicVariables, const double  rIntegrationWeight  )

inline

Calculates the Ae components necessary to compute the Phi_LagrangeMultipliers shape functions.

For that it integrates De and Me. Popp thesis page 70 eq. 3.65

Parameters

rKinematicVariables	The kinematic variables
rIntegrationWeight	The integration weight considered

ComputeDe()

template<const SizeType TNumNodes, const SizeType TNumNodesMaster = TNumNodes>

template<class TArray >

GeometryMatrixType Kratos::DualLagrangeMultiplierOperators< TNumNodes, TNumNodesMaster >::ComputeDe ( const TArray &  N1, const double  detJ  ) const

inline

Calculates the matrix De.

Parameters

N1	The shape function
detJ	The jacobian of the geometry

Initialize()

template<const SizeType TNumNodes, const SizeType TNumNodesMaster = TNumNodes>

void Kratos::DualLagrangeMultiplierOperators< TNumNodes, TNumNodesMaster >::Initialize ( )

inline

This method initialized the operators.

KRATOS_CLASS_POINTER_DEFINITION()

template<const SizeType TNumNodes, const SizeType TNumNodesMaster = TNumNodes>

Kratos::DualLagrangeMultiplierOperators< TNumNodes, TNumNodesMaster >::KRATOS_CLASS_POINTER_DEFINITION

(

DualLagrangeMultiplierOperators< TNumNodes, TNumNodesMaster >

)

Counted pointer of DualLagrangeMultiplierOperators.

PrintInfo()

template<const SizeType TNumNodes, const SizeType TNumNodesMaster = TNumNodes>

void Kratos::DualLagrangeMultiplierOperators< TNumNodes, TNumNodesMaster >::PrintInfo ( std::ostream &  rOStream ) const

inline

Print information about this object.

Friends And Related Function Documentation

Serializer

template<const SizeType TNumNodes, const SizeType TNumNodesMaster = TNumNodes>

friend class Serializer

friend

Member Data Documentation

De

template<const SizeType TNumNodes, const SizeType TNumNodesMaster = TNumNodes>

GeometryMatrixType Kratos::DualLagrangeMultiplierOperators< TNumNodes, TNumNodesMaster >::De

Me

template<const SizeType TNumNodes, const SizeType TNumNodesMaster = TNumNodes>

GeometryMatrixType Kratos::DualLagrangeMultiplierOperators< TNumNodes, TNumNodesMaster >::Me

The auxiliary operators needed to build the dual LM Ae operator.

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

• /home/runner/work/Documentation/Documentation/master/kratos/includes/mortar_classes.h