chrono::fea::ChElasticityKirchhoffOrthotropic Class Reference

Description

Orthotropic elasticity for thin shells (Kirchoff-Love shell theory, without shear effects) to be used in a ChMaterialShellKirchhoff.

This class implements material properties for a layer of a Kirchhoff thin shell, for the case of orthotropic linear elastic material. This is useful for laminated shells. One direction can be made softer than the other. Note that the angle and the thickness are defined when adding a material with this elasticity to a shell finite element as a layer.

#include <ChMaterialShellKirchhoff.h>

Inheritance diagram for chrono::fea::ChElasticityKirchhoffOrthotropic:

Collaboration diagram for chrono::fea::ChElasticityKirchhoffOrthotropic:

Public Member Functions
	ChElasticityKirchhoffOrthotropic (double m_E_x, double m_E_y, double m_nu_xy, double m_G_xy)
	Construct an orthotropic material. More...
	ChElasticityKirchhoffOrthotropic (double m_E, double m_nu)
	Construct an orthotropic material as sub case isotropic. More...
double	GetYoungModulusX () const
	Return the elasticity moduli, on x.
double	GetYoungModulusY () const
	Return the elasticity moduli, on y.
double	GetPoissonRatioXY () const
	Return the Poisson ratio, for xy.
double	GetPoissonRatioYX () const
	Return the Poisson ratio, for yx (follows xy as it must be nu_yx*E_x = nu_xy*E_y)
double	GetShearModulusXY () const
	Return the shear mod, in plane.
virtual void	ComputeStress (ChVector3d &n, ChVector3d &m, const ChVector3d &eps, const ChVector3d &kur, const double z_inf, const double z_sup, const double angle) override
	The FE code will evaluate this function to compute per-unit-length forces/torques given the strains/curvatures. More...
virtual void	ComputeStiffnessMatrix (ChMatrixRef mC, const ChVector3d &eps, const ChVector3d &kur, const double z_inf, const double z_sup, const double angle) override
	Compute 6x6 stiffness matrix [Km] , that is [ds/de], the tangent of the constitutive relation per-unit-length forces/torques vs generalized strains. More...

Additional Inherited Members
Public Attributes inherited from chrono::fea::ChElasticityKirchhoff
ChMaterialShellKirchhoff *	section

Constructor & Destructor Documentation

ChElasticityKirchhoffOrthotropic() [1/2]

chrono::fea::ChElasticityKirchhoffOrthotropic::ChElasticityKirchhoffOrthotropic	(	double	m_E_x,
		double	m_E_y,
		double	m_nu_xy,
		double	m_G_xy
	)

Construct an orthotropic material.

Parameters

m_E_x	Young's modulus on x
m_E_y	Young's modulus on y
m_nu_xy	Poisson ratio xy (for yx it holds: nu_yx*E_x = nu_xy*E_y)
m_G_xy	Shear modulus, in plane

ChElasticityKirchhoffOrthotropic() [2/2]

chrono::fea::ChElasticityKirchhoffOrthotropic::ChElasticityKirchhoffOrthotropic	(	double	m_E,
		double	m_nu
	)

Construct an orthotropic material as sub case isotropic.

Parameters

m_E	Young's modulus on x
m_nu	Poisson ratio

Member Function Documentation

ComputeStiffnessMatrix()

void chrono::fea::ChElasticityKirchhoffOrthotropic::ComputeStiffnessMatrix ( ChMatrixRef  mC, const ChVector3d &  eps, const ChVector3d &  kur, const double  z_inf, const double  z_sup, const double  angle  )

overridevirtual

Compute 6x6 stiffness matrix [Km] , that is [ds/de], the tangent of the constitutive relation per-unit-length forces/torques vs generalized strains.

Parameters

mC	tangent matrix
eps	strains e_11, e_22, e_12
kur	curvature k_11, k_22, k_12
z_inf	layer lower z value (along thickness coord)
z_sup	layer upper z value (along thickness coord)
angle	layer angle respect to x (if needed)

Reimplemented from chrono::fea::ChElasticityKirchhoff.

ComputeStress()

void chrono::fea::ChElasticityKirchhoffOrthotropic::ComputeStress ( ChVector3d &  n, ChVector3d &  m, const ChVector3d &  eps, const ChVector3d &  kur, const double  z_inf, const double  z_sup, const double  angle  )

overridevirtual

The FE code will evaluate this function to compute per-unit-length forces/torques given the strains/curvatures.

Parameters

n	forces n_11, n_22, n_12 (per unit length)
m	torques m_11, m_22, m_12 (per unit length)
eps	strains e_11, e_22, e_12
kur	curvature k_11, k_22, k_12
z_inf	layer lower z value (along thickness coord)
z_sup	layer upper z value (along thickness coord)
angle	layer angle respect to x (if needed) -not used in this, isotropic

Implements chrono::fea::ChElasticityKirchhoff.

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

• /builds/uwsbel/chrono/src/chrono/fea/ChMaterialShellKirchhoff.h
• /builds/uwsbel/chrono/src/chrono/fea/ChMaterialShellKirchhoff.cpp