chrono::fea::ChElasticityCosserat Class Reference

Description

Base interface for elasticity of beam sections of Cosserat type, where xyz force "n" and xyz torque "m" are a 6-dimensional function of generalized strains, "e" traction/shear and "k" curvatures, as: {n,m}=f({e,k}) There are various children classes that implement this function in different ways.

Note that the Timoshenko beam theory can be a sub-case of this.

#include <ChBeamSectionCosserat.h>

Inheritance diagram for chrono::fea::ChElasticityCosserat:

Collaboration diagram for chrono::fea::ChElasticityCosserat:

Public Member Functions
virtual void	ComputeStress (ChVector3d &stress_n, ChVector3d &stress_m, const ChVector3d &strain_e, const ChVector3d &strain_k)=0
	Compute the generalized cut force and cut torque, given actual deformation and curvature. More...
virtual void	ComputeStiffnessMatrix (ChMatrix66d &K, const ChVector3d &strain_e, const ChVector3d &strain_k)
	Compute the 6x6 tangent material stiffness matrix [Km] = dσ/dε, given actual deformation and curvature (if needed). More...

Public Attributes
ChBeamSectionCosserat *	section

Member Function Documentation

ComputeStiffnessMatrix()

void chrono::fea::ChElasticityCosserat::ComputeStiffnessMatrix ( ChMatrix66d &  K, const ChVector3d &  strain_e, const ChVector3d &  strain_k  )

virtual

Compute the 6x6 tangent material stiffness matrix [Km] = dσ/dε, given actual deformation and curvature (if needed).

This must be overridden by subclasses if an analytical solution is known (preferred for high performance), otherwise the base behaviour here is to compute [Km] by numerical differentiation calling ComputeStress() multiple times.

Parameters

K	6x6 material stiffness matrix values here
strain_e	local strain (deformation part): x= elongation, y and z are shear
strain_k	local strain (curvature part), x= torsion, y and z are line curvatures

Reimplemented in chrono::fea::ChElasticityCosseratAdvancedGenericFPM, chrono::fea::ChElasticityCosseratAdvancedGeneric, chrono::fea::ChElasticityCosseratAdvanced, chrono::fea::ChElasticityCosseratGeneric, and chrono::fea::ChElasticityCosseratSimple.

ComputeStress()

virtual void chrono::fea::ChElasticityCosserat::ComputeStress ( ChVector3d &  stress_n, ChVector3d &  stress_m, const ChVector3d &  strain_e, const ChVector3d &  strain_k  )

pure virtual

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

Parameters

stress_n	local stress (generalized force), x component = traction along beam
stress_m	local stress (generalized torque), x component = torsion torque along beam
strain_e	local strain (deformation part): x= elongation, y and z are shear
strain_k	local strain (curvature part), x= torsion, y and z are line curvatures

Implemented in chrono::fea::ChElasticityCosseratMesh, chrono::fea::ChElasticityCosseratAdvancedGenericFPM, chrono::fea::ChElasticityCosseratAdvancedGeneric, chrono::fea::ChElasticityCosseratAdvanced, chrono::fea::ChElasticityCosseratGeneric, and chrono::fea::ChElasticityCosseratSimple.

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

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