This utilities are used in order to compute the directional derivatives during mortar contact. More...

#include <derivatives_utilities.h>

Collaboration diagram for Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >:

Type Definitions
using	IndexType = std::size_t
	The index type. More...

using	GeometryType = Geometry< Node >
	The geometry of nodes. More...

using	NodesArrayType = Geometry< Node >::PointsArrayType
	The array of nodes contained in a geometry. More...

using	BelongType = typename std::conditional< TNumNodes==2, PointBelongsLine2D2N, typename std::conditional< TNumNodes==3, typename std::conditional< TNumNodesMaster==3, PointBelongsTriangle3D3N, PointBelongsTriangle3D3NQuadrilateral3D4N >::type, typename std::conditional< TNumNodesMaster==3, PointBelongsQuadrilateral3D4NTriangle3D3N, PointBelongsQuadrilateral3D4N >::type >::type >::type
	The belong type (for derivatives definition) More...

using	PointBelongType = PointBelong< TNumNodes, TNumNodesMaster >
	The points used for derivatives definition. More...

using	GeometryPointBelongType = Geometry< PointBelongType >
	A geometry defined by the point belongs (the points used for derivatives definition) More...

using	ConditionArrayType = array_1d< PointBelongType, TDim >
	An array of belong point to define the geometries of belong points. More...

using	ConditionArrayListType = typename std::vector< ConditionArrayType >
	The definition of an array pf conditions. More...

using	LineType = Line2D2< PointType >
	The line definition. More...

using	TriangleType = Triangle3D3< PointType >
	The triangle definition. More...

using	DecompositionType = typename std::conditional< TDim==2, LineType, TriangleType >::type
	The geometry for decomposition (line in 2D and triangle for 3D) More...

using	DerivativeDataType = typename std::conditional< TFrictional, DerivativeDataFrictional< TDim, TNumNodes, TNumNodesMaster >, DerivativeData< TDim, TNumNodes, TNumNodesMaster > >::type
	The derivative data type. More...

using	GeneralVariables = MortarKinematicVariablesWithDerivatives< TDim, TNumNodes, TNumNodesMaster >
	The kinematic variables. More...

using	AeData = DualLagrangeMultiplierOperatorsWithDerivatives< TDim, TNumNodes, TFrictional, TNumNodesMaster >
	The dual LM operators. More...

using	MortarConditionMatrices = MortarOperatorWithDerivatives< TDim, TNumNodes, TFrictional, TNumNodesMaster >
	The mortar operators. More...

static constexpr double	CheckThresholdCoefficient = 1.0e-12

static constexpr double	ZeroTolerance = std::numeric_limits<double>::epsilon()
	Definition of epsilon. More...

	KRATOS_CLASS_POINTER_DEFINITION (DerivativesUtilities)
	Pointer definition of DerivativesUtilities. More...

Operations
Matrix &	CalculateDeltaPosition (Matrix &rDeltaPosition, const GeometryType &rThisGeometry, const ConditionArrayType &rLocalCoordinates)
	Returns a matrix with the increment of displacements, that can be used for compute the Jacobian reference (current) configuration. More...

static void	CalculateDeltaDetjSlave (const DecompositionType &DecompGeom, const GeneralVariables &rVariables, DerivativeDataType &rDerivativeData)
	This method is used to compute the directional derivatives of the jacobian determinant. More...

static array_1d< array_1d< double, 3 >, TDim *TNumNodes >	GPDeltaNormalSlave (const Matrix &rJacobian, const Matrix &rDNDe)
	This method is used to compute the local increment of the normal. More...

static array_1d< array_1d< double, 3 >, TDim *TNumNodesMaster >	GPDeltaNormalMaster (const Matrix &rJacobian, const Matrix &rDNDe)
	This method is used to compute the local increment of the normal. More...

static array_1d< array_1d< double, 3 >, TDim *TNumNodes >	DeltaNormalCenter (const GeometryType &rThisGeometry)
	It computes the delta normal of the center of the geometry. More...

static void	CalculateDeltaNormalSlave (array_1d< BoundedMatrix< double, TNumNodes, TDim >, TNumNodes *TDim > &rDeltaNormal, GeometryType &rThisGeometry)
	Calculates the increment of the normal and in the slave condition. More...

static void	CalculateDeltaNormalMaster (array_1d< BoundedMatrix< double, TNumNodesMaster, TDim >, TNumNodesMaster *TDim > &rDeltaNormal, const GeometryType &rThisGeometry)
	Calculates the increment of the normal and in the master condition. More...

static void	CalculateDeltaCellVertex (const GeneralVariables &rVariables, DerivativeDataType &rDerivativeData, const array_1d< BelongType, TDim > &rTheseBelongs, const NormalDerivativesComputation ConsiderNormalVariation, const GeometryType &rSlaveGeometry, const GeometryType &rMasterGeometry, const array_1d< double, 3 > &rNormal)
	This method is used to compute the directional derivatives of the cell vertex. More...

static void	CalculateDeltaN1 (const GeneralVariables &rVariables, DerivativeDataType &rDerivativeData, const GeometryType &rSlaveGeometry, const GeometryType &rMasterGeometry, const array_1d< double, 3 > &rSlaveNormal, const DecompositionType &rDecompGeom, const PointType &rLocalPointDecomp, const PointType &rLocalPointParent, const NormalDerivativesComputation ConsiderNormalVariation=NormalDerivativesComputation::NO_DERIVATIVES_COMPUTATION)
	Calculates the increment of the shape functions. More...

static void	CalculateDeltaN (const GeneralVariables &rVariables, DerivativeDataType &rDerivativeData, const GeometryType &rSlaveGeometry, const GeometryType &rMasterGeometry, const array_1d< double, 3 > &rSlaveNormal, const array_1d< double, 3 > &rMasterNormal, const DecompositionType &rDecompGeom, const PointType &rLocalPointDecomp, const PointType &rLocalPointParent, const NormalDerivativesComputation ConsiderNormalVariation=NormalDerivativesComputation::NO_DERIVATIVES_COMPUTATION, const bool DualLM=false)
	Calculates the increment of the shape functions. More...

static Matrix &	CalculateDeltaPosition (Matrix &rDeltaPosition, const GeometryType &ThisGeometry)
	Returns a matrix with the increment of displacements. More...

static void	CalculateDeltaPosition (Vector &rDeltaPosition, const GeometryType &rSlaveGeometry, const GeometryType &rMasterGeometry, const IndexType IndexNode)
	Returns a vector with the increment of displacements. More...

static void	CalculateDeltaPosition (Vector &rDeltaPosition, const GeometryType &rSlaveGeometry, const GeometryType &rMasterGeometry, const IndexType IndexNode, const IndexType iDoF)
	Returns a vector with the increment of displacements. More...

static void	CalculateDeltaPosition (double &rDeltaPosition, const GeometryType &rSlaveGeometry, const GeometryType &rMasterGeometry, const IndexType IndexNode, const IndexType iDoF)
	Returns a double with the increment of displacements. More...

static bool	CalculateAeAndDeltaAe (const GeometryType &rSlaveGeometry, const array_1d< double, 3 > &rSlaveNormal, const GeometryType &rMasterGeometry, DerivativeDataType &rDerivativeData, GeneralVariables &rVariables, const NormalDerivativesComputation ConsiderNormalVariation, ConditionArrayListType &rConditionsPointsSlave, GeometryData::IntegrationMethod ThisIntegrationMethod, const double AxiSymCoeff=1.0)
	Calculate Ae and DeltaAe matrices. More...

Detailed Description

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster = TNumNodes>
class Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >

This utilities are used in order to compute the directional derivatives during mortar contact.

The derivatives take the same argument templates than the contact conditions

Author: Vicente Mataix Ferrandiz; Gabriel Valdes Alonzo

Template Parameters

TDim	The dimension of work
TNumNodes	The number of nodes of the slave
TNormalVariation	If the normal variation is considered
TNumNodesMaster	The number of nodes of the master

Member Typedef Documentation

◆ AeData

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster = TNumNodes>

using Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::AeData = DualLagrangeMultiplierOperatorsWithDerivatives<TDim, TNumNodes, TFrictional, TNumNodesMaster>

The dual LM operators.

◆ BelongType

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster = TNumNodes>

using Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::BelongType = typename std::conditional<TNumNodes == 2, PointBelongsLine2D2N, typename std::conditional<TNumNodes == 3, typename std::conditional<TNumNodesMaster == 3, PointBelongsTriangle3D3N, PointBelongsTriangle3D3NQuadrilateral3D4N>::type, typename std::conditional<TNumNodesMaster == 3, PointBelongsQuadrilateral3D4NTriangle3D3N, PointBelongsQuadrilateral3D4N>::type>::type>::type

The belong type (for derivatives definition)

◆ ConditionArrayListType

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster = TNumNodes>

using Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::ConditionArrayListType = typename std::vector<ConditionArrayType>

The definition of an array pf conditions.

◆ ConditionArrayType

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster = TNumNodes>

using Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::ConditionArrayType = array_1d<PointBelongType,TDim>

An array of belong point to define the geometries of belong points.

◆ DecompositionType

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster = TNumNodes>

using Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::DecompositionType = typename std::conditional<TDim == 2, LineType, TriangleType >::type

The geometry for decomposition (line in 2D and triangle for 3D)

◆ DerivativeDataType

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster = TNumNodes>

using Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::DerivativeDataType = typename std::conditional<TFrictional, DerivativeDataFrictional<TDim, TNumNodes, TNumNodesMaster>, DerivativeData<TDim, TNumNodes, TNumNodesMaster> >::type

The derivative data type.

◆ GeneralVariables

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster = TNumNodes>

using Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::GeneralVariables = MortarKinematicVariablesWithDerivatives<TDim, TNumNodes, TNumNodesMaster>

The kinematic variables.

◆ GeometryPointBelongType

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster = TNumNodes>

using Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::GeometryPointBelongType = Geometry<PointBelongType>

A geometry defined by the point belongs (the points used for derivatives definition)

◆ GeometryType

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster = TNumNodes>

using Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::GeometryType = Geometry<Node>

The geometry of nodes.

◆ IndexType

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster = TNumNodes>

using Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::IndexType = std::size_t

The index type.

◆ LineType

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster = TNumNodes>

using Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::LineType = Line2D2<PointType>

The line definition.

◆ MortarConditionMatrices

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster = TNumNodes>

using Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::MortarConditionMatrices = MortarOperatorWithDerivatives<TDim, TNumNodes, TFrictional, TNumNodesMaster>

The mortar operators.

◆ NodesArrayType

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster = TNumNodes>

using Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::NodesArrayType = Geometry<Node>::PointsArrayType

The array of nodes contained in a geometry.

◆ PointBelongType

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster = TNumNodes>

using Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::PointBelongType = PointBelong<TNumNodes, TNumNodesMaster>

The points used for derivatives definition.

◆ TriangleType

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster = TNumNodes>

using Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::TriangleType = Triangle3D3<PointType>

The triangle definition.

Member Function Documentation

◆ CalculateAeAndDeltaAe()

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster>

bool Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::CalculateAeAndDeltaAe	(	const GeometryType &	rSlaveGeometry,
		const array_1d< double, 3 > &	rSlaveNormal,
		const GeometryType &	rMasterGeometry,
		DerivativeDataType &	rDerivativeData,
		GeneralVariables &	rVariables,
		const NormalDerivativesComputation	ConsiderNormalVariation,
		ConditionArrayListType &	rConditionsPointsSlave,
		GeometryData::IntegrationMethod	ThisIntegrationMethod,
		const double	AxiSymCoeff = `1.0`
	)

static

Calculate Ae and DeltaAe matrices.

Parameters

rSlaveGeometry	The geometry of the slave side
rSlaveNormal	The normal of the slave side
rMasterGeometry	The master side geometry
rDerivativeData	The derivatives container
rVariables	The kinematic variables
ConsiderNormalVariation	If consider the normal derivative
rConditionsPointsSlave	The points that configure the exact decomposition of the geometry
ThisIntegrationMethod	The integration method considered
AxiSymCoeff	The axisymmetric coefficient

◆ CalculateDeltaCellVertex()

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster>

void Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::CalculateDeltaCellVertex	(	const GeneralVariables &	rVariables,
		DerivativeDataType &	rDerivativeData,
		const array_1d< BelongType, TDim > &	rTheseBelongs,
		const NormalDerivativesComputation	ConsiderNormalVariation,
		const GeometryType &	rSlaveGeometry,
		const GeometryType &	rMasterGeometry,
		const array_1d< double, 3 > &	rNormal
	)

static

This method is used to compute the directional derivatives of the cell vertex.

Parameters

rVariables	The kinematic variables
rDerivativeData	The derivatives container
rTheseBelongs	The belongs list used in the derivatives
ConsiderNormalVariation	If consider the normal derivative
rSlaveGeometry	The slave geometry
rMasterGeometry	The master geometry
rNormal	The normal vector of the slave geometry

The procedure will be the following in order to compute the derivative of the clipping The expression of the clipping is the following: xclipp = xs1 - num/denom * diff3 Being: diff1 = xs1 - xs2; diff2 = xe2 - xs2; diff3 = xe1 - xs1; num = (diff1 x diff2) · n0 denom = (diff3 x diff2) · n0 The derivative can be defined then as: delta_xclipp = delta_xs1 - (delta_num * denom - num * delta_denom)/delta_denom**2 * diff3 - num/ denom * delta_diff3 And here: delta_num = num · delta_n0 + n0 · (delta_diff1 x diff2 + diff1 x delta_diff2) delta_denom = denom · delta_n0 + n0 · (delta_diff3 x diff2 + diff3 x delta_diff2)

◆ CalculateDeltaDetjSlave()

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster>

void Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::CalculateDeltaDetjSlave	(	const DecompositionType &	DecompGeom,
		const GeneralVariables &	rVariables,
		DerivativeDataType &	rDerivativeData
	)

static

This method is used to compute the directional derivatives of the jacobian determinant.

Parameters

DecompGeom	The triangle used to decompose the geometry
rVariables	The kinematic variables
rDerivativeData	The derivatives container

◆ CalculateDeltaN()

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster>

void Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::CalculateDeltaN	(	const GeneralVariables &	rVariables,
		DerivativeDataType &	rDerivativeData,
		const GeometryType &	rSlaveGeometry,
		const GeometryType &	rMasterGeometry,
		const array_1d< double, 3 > &	rSlaveNormal,
		const array_1d< double, 3 > &	rMasterNormal,
		const DecompositionType &	rDecompGeom,
		const PointType &	rLocalPointDecomp,
		const PointType &	rLocalPointParent,
		const NormalDerivativesComputation	ConsiderNormalVariation = `NormalDerivativesComputation::NO_DERIVATIVES_COMPUTATION`,
		const bool	DualLM = `false`
	)

static

Calculates the increment of the shape functions.

Parameters

rVariables	The kinematic variables
rDerivativeData	The derivatives container
rSlaveGeometry	The geometry of the slave side
rMasterGeometry	The geometry of the master side
rSlaveNormal	The normal of the slave side
rMasterNormal	The normal of the master side
rDecompGeom	The triangle used to decompose the geometry
rLocalPointDecomp	The local coordinates in the decomposed geometry
rLocalPointParent	The local coordinates in the slave geometry
ConsiderNormalVariation	If consider the normal derivative
DualLM	If the dual Lm formulation is considered

◆ CalculateDeltaN1()

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster>

void Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::CalculateDeltaN1	(	const GeneralVariables &	rVariables,
		DerivativeDataType &	rDerivativeData,
		const GeometryType &	rSlaveGeometry,
		const GeometryType &	rMasterGeometry,
		const array_1d< double, 3 > &	rSlaveNormal,
		const DecompositionType &	rDecompGeom,
		const PointType &	rLocalPointDecomp,
		const PointType &	rLocalPointParent,
		const NormalDerivativesComputation	ConsiderNormalVariation = `NormalDerivativesComputation::NO_DERIVATIVES_COMPUTATION`
	)

inlinestatic

Calculates the increment of the shape functions.

Parameters

rVariables	The kinematic variables
rDerivativeData	The derivatives container
rSlaveGeometry	The geometry of the slave side
rMasterGeometry	The geometry of the master side
rSlaveNormal	The normal of the slave side
rDecompGeom	The triangle used to decompose the geometry
rLocalPointDecomp	The local coordinates in the decomposed geometry
rLocalPointParent	The local coordinates in the slave geometry
ConsiderNormalVariation	If consider the normal derivative

◆ CalculateDeltaNormalMaster()

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster>

void Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::CalculateDeltaNormalMaster	(	array_1d< BoundedMatrix< double, TNumNodesMaster, TDim >, TNumNodesMaster *TDim > &	rDeltaNormal,
		const GeometryType &	rThisGeometry
	)

static

Calculates the increment of the normal and in the master condition.

Parameters

rDeltaNormal	The derivative of the normal
rThisGeometry	The geometry of the master side

Note: Hardcopied for performance

◆ CalculateDeltaNormalSlave()

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster>

void Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::CalculateDeltaNormalSlave	(	array_1d< BoundedMatrix< double, TNumNodes, TDim >, TNumNodes *TDim > &	rDeltaNormal,
		GeometryType &	rThisGeometry
	)

static

Calculates the increment of the normal and in the slave condition.

Parameters

rDeltaNormal	The derivative of the normal
rThisGeometry	The geometry of the salve side

◆ CalculateDeltaPosition() [1/5]

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster>

void Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::CalculateDeltaPosition	(	double &	rDeltaPosition,
		const GeometryType &	rSlaveGeometry,
		const GeometryType &	rMasterGeometry,
		const IndexType	IndexNode,
		const IndexType	iDoF
	)

inlinestatic

Returns a double with the increment of displacements.

Parameters

rDeltaPosition	The resulting double with the increment of position
rSlaveGeometry	The slave geometry
rMasterGeometry	The master geometry
IndexNode	The node index
iDoF	The degree of freedom index

◆ CalculateDeltaPosition() [2/5]

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster>

Matrix & Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::CalculateDeltaPosition	(	Matrix &	rDeltaPosition,
		const GeometryType &	rThisGeometry,
		const ConditionArrayType &	rLocalCoordinates
	)

Returns a matrix with the increment of displacements, that can be used for compute the Jacobian reference (current) configuration.

Parameters

rDeltaPosition	The matrix with the increment of displacements
rThisGeometry	The geometry considered
rLocalCoordinates	The array containing the local coordinates of the exact integration segment

◆ CalculateDeltaPosition() [3/5]

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster>

Matrix & Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::CalculateDeltaPosition	(	Matrix &	rDeltaPosition,
		const GeometryType &	ThisGeometry
	)

inlinestatic

Returns a matrix with the increment of displacements.

Parameters

rDeltaPosition	The matrix with the increment of displacements
ThisGeometry	The geometry considered

◆ CalculateDeltaPosition() [4/5]

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster>

void Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::CalculateDeltaPosition	(	Vector &	rDeltaPosition,
		const GeometryType &	rSlaveGeometry,
		const GeometryType &	rMasterGeometry,
		const IndexType	IndexNode
	)

inlinestatic

Returns a vector with the increment of displacements.

Parameters

rDeltaPosition	The resulting vector with the increment of position
rSlaveGeometry	The slave geometry
rMasterGeometry	The master geometry
IndexNode	The node index

◆ CalculateDeltaPosition() [5/5]

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster>

void Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::CalculateDeltaPosition	(	Vector &	rDeltaPosition,
		const GeometryType &	rSlaveGeometry,
		const GeometryType &	rMasterGeometry,
		const IndexType	IndexNode,
		const IndexType	iDoF
	)

inlinestatic

Returns a vector with the increment of displacements.

Parameters

rDeltaPosition	The resulting vector with the increment of position
rSlaveGeometry	The slave geometry
rMasterGeometry	The master geometry
IndexNode	The node index
iDoF	The degree of freedom index

◆ DeltaNormalCenter()

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster>

array_1d< array_1d< double, 3 >, TDim *TNumNodes > Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::DeltaNormalCenter ( const GeometryType & rThisGeometry )

static

It computes the delta normal of the center of the geometry.

Parameters

rThisGeometry The geometry where the delta normal is computed

◆ GPDeltaNormalMaster()

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster>

array_1d< array_1d< double, 3 >, TDim *TNumNodesMaster > Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::GPDeltaNormalMaster	(	const Matrix &	rJacobian,
		const Matrix &	rDNDe
	)

inlinestatic

This method is used to compute the local increment of the normal.

Parameters

rJacobian	The jacobian on the GP
rDNDe	The local gradient

Returns: The matrix containing the delta normals

Note: Not the mean, look in the contact utilities; Hardcopied for performance

◆ GPDeltaNormalSlave()

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster>

array_1d< array_1d< double, 3 >, TDim *TNumNodes > Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::GPDeltaNormalSlave	(	const Matrix &	rJacobian,
		const Matrix &	rDNDe
	)

inlinestatic

This method is used to compute the local increment of the normal.

Parameters

rJacobian	The jacobian on the GP
rDNDe	The local gradient

Returns: The matrix containing the delta normals

Note: Not the mean, look in the contact utilities

◆ KRATOS_CLASS_POINTER_DEFINITION()

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster = TNumNodes>

Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::KRATOS_CLASS_POINTER_DEFINITION ( DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster > )

Pointer definition of DerivativesUtilities.

Member Data Documentation

◆ CheckThresholdCoefficient

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster = TNumNodes>

constexpr double Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::CheckThresholdCoefficient = 1.0e-12

staticconstexpr

◆ ZeroTolerance

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster = TNumNodes>

constexpr double Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >::ZeroTolerance = std::numeric_limits<double>::epsilon()

staticconstexpr

Definition of epsilon.

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

/home/runner/work/Documentation/Documentation/master/applications/ContactStructuralMechanicsApplication/custom_utilities/derivatives_utilities.h
/home/runner/work/Documentation/Documentation/master/applications/ContactStructuralMechanicsApplication/custom_utilities/derivatives_utilities.cpp

Type Definitions

Operations

Detailed Description

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster = TNumNodes> class Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >

Member Typedef Documentation

◆ AeData

◆ BelongType

◆ ConditionArrayListType

◆ ConditionArrayType

◆ DecompositionType

◆ DerivativeDataType

◆ GeneralVariables

◆ GeometryPointBelongType

◆ GeometryType

◆ IndexType

◆ LineType

◆ MortarConditionMatrices

◆ NodesArrayType

◆ PointBelongType

◆ TriangleType

Member Function Documentation

◆ CalculateAeAndDeltaAe()

◆ CalculateDeltaCellVertex()

◆ CalculateDeltaDetjSlave()

◆ CalculateDeltaN()

◆ CalculateDeltaN1()

◆ CalculateDeltaNormalMaster()

◆ CalculateDeltaNormalSlave()

◆ CalculateDeltaPosition() [1/5]

◆ CalculateDeltaPosition() [2/5]

◆ CalculateDeltaPosition() [3/5]

◆ CalculateDeltaPosition() [4/5]

◆ CalculateDeltaPosition() [5/5]

◆ DeltaNormalCenter()

◆ GPDeltaNormalMaster()

◆ GPDeltaNormalSlave()

◆ KRATOS_CLASS_POINTER_DEFINITION()

Member Data Documentation

◆ CheckThresholdCoefficient

◆ ZeroTolerance

template<const SizeType TDim, const SizeType TNumNodes, bool TFrictional, const bool TNormalVariation, const SizeType TNumNodesMaster = TNumNodes>
class Kratos::DerivativesUtilities< TDim, TNumNodes, TFrictional, TNormalVariation, TNumNodesMaster >