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chrono::fea::ChElasticityKirchhoffGeneric Class Reference
Chrono::Engine » Finite Element Analysis » Elements

Description

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

This uses a 6x6 matrix [E] from user-input data. The [E] matrix can be computed from a preprocessing stage using a FEA analysis over a detailed 3D model of a slab of shell, hence recovering the 6x6 matrix in the linear mapping: {n,m}=[E]{e,k}.

#include <ChMaterialShellKirchhoff.h>

Inheritance diagram for chrono::fea::ChElasticityKirchhoffGeneric:
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Collaboration diagram for chrono::fea::ChElasticityKirchhoffGeneric:
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Public Member Functions

ChMatrix66d & Ematrix ()
 Access the E matrix, for getting/setting its values. More...
 
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
 

Member Function Documentation

◆ ComputeStiffnessMatrix()

void chrono::fea::ChElasticityKirchhoffGeneric::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::ChElasticityKirchhoffGeneric::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.

◆ Ematrix()

ChMatrix66d& chrono::fea::ChElasticityKirchhoffGeneric::Ematrix ( )
inline

Access the E matrix, for getting/setting its values.

This is the matrix that defines the linear elastic constitutive model as it maps yxz displacements "e" and xyz rotations "k" to the "n" force and "m" torque as in {n,m}=[E]{e,k}.

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