chrono::fea::ChElasticityKirchhoff Class Referenceabstract

Description

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

Children classes must implement the ComputeStress function to get {n,m}=f({e,k}) that is per-unit-length forces/torques n_11,n22,n12,m_11,m_22,m_12 given the strains/curvatures e_11 e_22 e_12 k_11 k_22 k_12. Inherited materials do not define any thickness, which should be a property of the element or its layer(s) using this material.

#include <ChMaterialShellKirchhoff.h>

Inheritance diagram for chrono::fea::ChElasticityKirchhoff:
Collaboration diagram for chrono::fea::ChElasticityKirchhoff:

Public Member Functions

virtual void ComputeStress (ChVector3d &n, ChVector3d &m, const ChVector3d &eps, const ChVector3d &kur, const double z_inf, const double z_sup, const double angle)=0
 Compute the generalized force and torque, given actual deformation and curvature. More...
 
virtual void ComputeStiffnessMatrix (ChMatrixRef mC, const ChVector3d &eps, const ChVector3d &kur, const double z_inf, const double z_sup, const double angle)
 Compute the 6x6 stiffness matrix [Km] , that is [ds/de], the tangent of the constitutive relation stresses/strains. More...
 

Public Attributes

ChMaterialShellKirchhoffsection
 

Member Function Documentation

◆ ComputeStiffnessMatrix()

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

Compute the 6x6 stiffness matrix [Km] , that is [ds/de], the tangent of the constitutive relation stresses/strains.

By default, it is computed by backward differentiation from the ComputeStress() function, but inherited classes should better provide an analytical form, if possible.

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 in chrono::fea::ChElasticityKirchhoffGeneric, chrono::fea::ChElasticityKirchhoffOrthotropic, and chrono::fea::ChElasticityKirchhoffIsothropic.

◆ ComputeStress()

virtual void chrono::fea::ChElasticityKirchhoff::ComputeStress ( ChVector3d n,
ChVector3d m,
const ChVector3d eps,
const ChVector3d kur,
const double  z_inf,
const double  z_sup,
const double  angle 
)
pure virtual

Compute the generalized force and torque, given actual deformation and curvature.

This MUST be implemented by subclasses.

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)

Implemented in chrono::fea::ChElasticityKirchhoffGeneric, chrono::fea::ChElasticityKirchhoffOrthotropic, and chrono::fea::ChElasticityKirchhoffIsothropic.


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