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
ChMaterialShellKirchhoffsection
 

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_xYoung's modulus on x
m_E_yYoung's modulus on y
m_nu_xyPoisson ratio xy (for yx it holds: nu_yx*E_x = nu_xy*E_y)
m_G_xyShear 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_EYoung's modulus on x
m_nuPoisson 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
mCtangent matrix
epsstrains e_11, e_22, e_12
kurcurvature k_11, k_22, k_12
z_inflayer lower z value (along thickness coord)
z_suplayer upper z value (along thickness coord)
anglelayer 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
nforces n_11, n_22, n_12 (per unit length)
mtorques m_11, m_22, m_12 (per unit length)
epsstrains e_11, e_22, e_12
kurcurvature k_11, k_22, k_12
z_inflayer lower z value (along thickness coord)
z_suplayer upper z value (along thickness coord)
anglelayer angle respect to x (if needed) -not used in this, isotropic

Implements chrono::fea::ChElasticityKirchhoff.


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