Kratos::StructuralMechanicsMathUtilities Class Reference

#include <structural_mechanics_math_utilities.hpp>

Collaboration diagram for Kratos::StructuralMechanicsMathUtilities:

Public Types
Type definitions
typedef long double	RealType
typedef Node	NodeType
typedef Geometry< NodeType >	GeometryType

Static Public Member Functions
Operations
static void	Comp_Orthonor_Vect (array_1d< double, 3 > &t1g, array_1d< double, 3 > &t2g, array_1d< double, 3 > &t3g, const array_1d< double, 3 > &vxe, const array_1d< double, 3 > &vye)
static void	Comp_Orthonor_Base (array_1d< double, 3 > &t1g, array_1d< double, 3 > &t2g, array_1d< double, 3 > &t3g, const array_1d< double, 3 > &vxe, const array_1d< double, 3 > &Xdxi, const array_1d< double, 3 > &Xdeta)
static void	Comp_Orthonor_Base (BoundedMatrix< double, 3, 3 > &t, const array_1d< double, 3 > &vxe, const array_1d< double, 3 > &Xdxi, const array_1d< double, 3 > &Xdeta)
static Matrix	InterpolPrismGiD (const int nG)
static bool	SolveSecondOrderEquation (const RealType &a, const RealType &b, const RealType &c, std::vector< RealType > &solution)
static double	CalculateRadius (const Vector &N, const GeometryType &Geom, const Configuration ThisConfiguration=Current)
static double	CalculateRadiusPoint (const GeometryType &Geom, const Configuration ThisConfiguration=Current)
template<int TDim>
static void	TensorTransformation (BoundedMatrix< double, TDim, TDim > &rOriginLeft, BoundedMatrix< double, TDim, TDim > &rOriginRight, BoundedMatrix< double, TDim, TDim > &rTargetLeft, BoundedMatrix< double, TDim, TDim > &rTargetRight, BoundedMatrix< double, TDim, TDim > &rTensor)

Member Typedef Documentation

GeometryType

typedef Geometry<NodeType> Kratos::StructuralMechanicsMathUtilities::GeometryType

NodeType

typedef Node Kratos::StructuralMechanicsMathUtilities::NodeType

RealType

typedef long double Kratos::StructuralMechanicsMathUtilities::RealType

Member Function Documentation

CalculateRadius()

static double Kratos::StructuralMechanicsMathUtilities::CalculateRadius ( const Vector &  N, const GeometryType &  Geom, const Configuration  ThisConfiguration = Current  )

inlinestatic

Calculates the radius of axisymmetry

Parameters

N	The Gauss Point shape function
Geom	The geometry studied

Returns

Radius: The radius of axisymmetry

CalculateRadiusPoint()

static double Kratos::StructuralMechanicsMathUtilities::CalculateRadiusPoint ( const GeometryType &  Geom, const Configuration  ThisConfiguration = Current  )

inlinestatic

Calculates the radius of axisymmetry for a point

Parameters

Geom	The geometry studied

Returns

The radius of axisymmetry

Comp_Orthonor_Base() [1/2]

static void Kratos::StructuralMechanicsMathUtilities::Comp_Orthonor_Base ( array_1d< double, 3 > &  t1g, array_1d< double, 3 > &  t2g, array_1d< double, 3 > &  t3g, const array_1d< double, 3 > &  vxe, const array_1d< double, 3 > &  Xdxi, const array_1d< double, 3 > &  Xdeta  )

inlinestatic

It gives the orthonormal base based in the cartesian derivatives

Returns

tig: The orthonormal base

Parameters

vxe	X direction vector
Xdxi	and Xeta: Cartesian derivatives in xi and eta

Comp_Orthonor_Base() [2/2]

static void Kratos::StructuralMechanicsMathUtilities::Comp_Orthonor_Base ( BoundedMatrix< double, 3, 3 > &  t, const array_1d< double, 3 > &  vxe, const array_1d< double, 3 > &  Xdxi, const array_1d< double, 3 > &  Xdeta  )

inlinestatic

Comp_Orthonor_Vect()

static void Kratos::StructuralMechanicsMathUtilities::Comp_Orthonor_Vect ( array_1d< double, 3 > &  t1g, array_1d< double, 3 > &  t2g, array_1d< double, 3 > &  t3g, const array_1d< double, 3 > &  vxe, const array_1d< double, 3 > &  vye  )

inlinestatic

It gives the orthonormal base based in a orthogonal base

Returns

tig: The orthonormal base

Parameters

vxe	and vye: X and Y direction vector

InterpolPrismGiD()

static Matrix Kratos::StructuralMechanicsMathUtilities::InterpolPrismGiD ( const int  nG )

inlinestatic

Gives the interpolation of two Gauss Points (to introduce in GiD the result)

Parameters

nG	Number of Gauss Points

Returns

Matrix of interpolations

SolveSecondOrderEquation()

static bool Kratos::StructuralMechanicsMathUtilities::SolveSecondOrderEquation ( const RealType &  a, const RealType &  b, const RealType &  c, std::vector< RealType > &  solution  )

inlinestatic

Calculates the solutions for a given second order polynomial equation 0 = a*x^2 + b*x + c

Parameters

a	coefficient
b	coefficient
c	coefficient
ZeroTol	number treated as zero

Returns

Vector of solutions

TensorTransformation()

template<int TDim>

static void Kratos::StructuralMechanicsMathUtilities::TensorTransformation ( BoundedMatrix< double, TDim, TDim > &  rOriginLeft, BoundedMatrix< double, TDim, TDim > &  rOriginRight, BoundedMatrix< double, TDim, TDim > &  rTargetLeft, BoundedMatrix< double, TDim, TDim > &  rTargetRight, BoundedMatrix< double, TDim, TDim > &  rTensor  )

inlinestatic

Transforms a 2-point tensor from an origin system to a target system M=M_ij origin_left x origin_right = M_lk target_left X target_right

Returns

rOriginLeft: matrix with the basis vectors of basis origin left as columns

rOriginRight: matrix with the basis vectors of basis origin right as columns

rTargetLeft: matrix with the basis vectors of basis target left as columns

rTsargetRight: matrix with the basis vectors of basis target right as columns

rTensor: the tensor to be tranformed

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

• /home/runner/work/Documentation/Documentation/master/applications/StructuralMechanicsApplication/custom_utilities/structural_mechanics_math_utilities.hpp