Description
Generic linear elasticity for 6-field Reissner-Mindlin shells (kinematically-exact shell theory as in Witkowski et al.) to be used in a ChMaterialShellReissner.
This uses a 12x12 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 <ChMaterialShellReissner.h>
Public Member Functions | |
ChMatrixNM< double, 12, 12 > & | Ematrix () |
Access the 12x12 [E] matrix, for getting/setting its values. More... | |
virtual void | ComputeStress (ChVector3d &n_u, ChVector3d &n_v, ChVector3d &m_u, ChVector3d &m_v, const ChVector3d &eps_u, const ChVector3d &eps_v, const ChVector3d &kur_u, const ChVector3d &kur_v, 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 u,v strains/curvatures. More... | |
virtual void | ComputeStiffnessMatrix (ChMatrixRef mC, const ChVector3d &eps_u, const ChVector3d &eps_v, const ChVector3d &kur_u, const ChVector3d &kur_v, const double z_inf, const double z_sup, const double angle) override |
/// Compute the 12x12 stiffness matrix [Km] , that is [ds/de], the tangent of the constitutive relation stresses/strains. More... | |
Additional Inherited Members | |
Public Attributes inherited from chrono::fea::ChElasticityReissner | |
ChMaterialShellReissner * | section |
Member Function Documentation
◆ ComputeStiffnessMatrix()
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overridevirtual |
/// Compute the 12x12 stiffness matrix [Km] , that is [ds/de], the tangent of the constitutive relation stresses/strains.
- Parameters
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mC tangent matrix eps_u strains along u direction eps_v strains along v direction kur_u curvature along u direction kur_v curvature along v direction z_inf layer lower z value (along thickness coord) z_sup layer upper z value (along thickness coord) angle layer angle respect to x (if needed) -not used in this, isotropic
Reimplemented from chrono::fea::ChElasticityReissner.
◆ ComputeStress()
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overridevirtual |
The FE code will evaluate this function to compute per-unit-length forces/torques given the u,v strains/curvatures.
- Parameters
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n_u forces along u direction (per unit length) n_v forces along v direction (per unit length) m_u torques along u direction (per unit length) m_v torques along v direction (per unit length) eps_u strains along u direction eps_v strains along v direction kur_u curvature along u direction kur_v curvature along v direction z_inf layer lower z value (along thickness coord) z_sup layer upper z value (along thickness coord) angle layer angle respect to x (if needed) -not used in this, isotropic
Implements chrono::fea::ChElasticityReissner.
◆ Ematrix()
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inline |
Access the 12x12 [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_u,n_v,m_u,m_v}=[E]{e_u,e_v,k_u,k_v}.
The documentation for this class was generated from the following files:
- /builds/uwsbel/chrono/src/chrono/fea/ChMaterialShellReissner.h
- /builds/uwsbel/chrono/src/chrono/fea/ChMaterialShellReissner.cpp