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chrono::fea::ChElasticityCosseratGeneric Class Reference
Chrono::Engine » Finite Element Analysis » Utility classes

Description

Generic linear elasticity for a Cosserat beam using directly a 6x6 matrix [E] as user-input data.

The [E] matrix values ("rigidity" values) can be computed from a preprocessing stage using a FEA analysis over a detailed 3D model of a chunk of beam, hence recovering the 6x6 matrix that connects yxz displacements "e" and xyz rotations "k" to the xyz cut-force "n" and xyz cut-torque "m" as in \( (m,n)=[E](e,k) \) where \( e, k, m, n \) are expressed in the centerline reference. Using a matrix of rigidity values, the model does not assume homogeneous elasticity and bypasses the need of entering E or G values. This can be shared between multiple beams.

#include <ChBeamSectionCosserat.h>

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Public Member Functions

ChMatrix66d & Ematrix ()
 Access the E matrix, for getting/setting its values. More...
 
virtual void ComputeStress (ChVector3d &stress_n, ChVector3d &stress_m, const ChVector3d &strain_e, const ChVector3d &strain_k) override
 Compute the generalized cut force and cut torque. More...
 
virtual void ComputeStiffnessMatrix (ChMatrix66d &K, const ChVector3d &strain_e, const ChVector3d &strain_k) override
 Compute the 6x6 tangent material stiffness matrix [Km] = dσ/dε. More...
 

Additional Inherited Members

- Public Attributes inherited from chrono::fea::ChElasticityCosserat
ChBeamSectionCosserat * section
 

Member Function Documentation

◆ ComputeStiffnessMatrix()

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

Compute the 6x6 tangent material stiffness matrix [Km] = dσ/dε.

Parameters
K6x6 stiffness matrix
strain_elocal strain (deformation part): x= elongation, y and z are shear
strain_klocal strain (curvature part), x= torsion, y and z are line curvatures

Reimplemented from chrono::fea::ChElasticityCosserat.

◆ ComputeStress()

void chrono::fea::ChElasticityCosseratGeneric::ComputeStress ( ChVector3d &  stress_n,
ChVector3d &  stress_m,
const ChVector3d &  strain_e,
const ChVector3d &  strain_k 
)
overridevirtual

Compute the generalized cut force and cut torque.

Parameters
stress_nlocal stress (generalized force), x component = traction along beam
stress_mlocal stress (generalized torque), x component = torsion torque along beam
strain_elocal strain (deformation part): x= elongation, y and z are shear
strain_klocal strain (curvature part), x= torsion, y and z are line curvatures

Implements chrono::fea::ChElasticityCosserat.

◆ Ematrix()

ChMatrix66d& chrono::fea::ChElasticityCosseratGeneric::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 xyz cut-force "n" and xyz cut-torque "m" as in \( (m,n)=[E](e,k) \)

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