Description
Lumped plasticity of Cosserat-type beams.
This defines 6 independent yelds for the six generalized forces/moments in the beam. Note that this is a rough approximation of plasticity in beams for at least two main reasons: it cannot capture how plastic zones are made inside a section (which is mostly important when cycling with back and forth bending), and it does not capture coupled My+Mz effects, or Nx+My or Nx+Mz as often happens. Briefly: use it if plasticization happens in a scenario of pure bending on a single xy or xz plane, or pure compression/extension, or pure torsion. This can be shared between multiple beams.
#include <ChBeamSectionCosserat.h>
Public Member Functions | |
| ChPlasticityCosseratLumped () | |
| Default constructor: linear isotropic constant hardening. | |
| virtual bool | ComputeStressWithReturnMapping (ChVector<> &stress_n, ChVector<> &stress_m, ChVector<> &e_strain_e_new, ChVector<> &e_strain_k_new, ChBeamMaterialInternalData &data_new, const ChVector<> &tot_strain_e, const ChVector<> &tot_strain_k, const ChBeamMaterialInternalData &data) override |
| Given a trial strain, it computes the effective stress and strain by clamping against the yeld surface. More... | |
| virtual void | CreatePlasticityData (int numpoints, std::vector< std::unique_ptr< ChBeamMaterialInternalData >> &plastic_data) override |
| virtual void | SetAsRectangularSection (double width_y, double width_z) override |
| Shortcut: set parameters at once, given the y and z widths of the beam assumed with rectangular shape. | |
| virtual void | SetAsCircularSection (double diameter) override |
| Shortcut: set parameters at once, given the diameter of the beam assumed with circular shape. | |
 Public Member Functions inherited from chrono::fea::ChPlasticityCosserat | |
| virtual void | ComputeStiffnessMatrixElastoplastic (ChMatrixDynamic<> &K, const ChVector<> &strain_e, const ChVector<> &strain_k, const ChBeamMaterialInternalData &data) |
| Compute the 6x6 tangent material stiffness matrix [Km] = dσ/dε, given actual internal data and deformation and curvature (if needed). More... | |
Public Attributes | |
| std::shared_ptr< ChFunction > | n_yeld_x |
| sigma_y(p_strain_acc) | |
| std::shared_ptr< ChFunction > | n_beta_x |
| beta(p_strain_acc) | |
| std::shared_ptr< ChFunction > | n_yeld_y |
| sigma_y(p_strain_acc) | |
| std::shared_ptr< ChFunction > | n_beta_y |
| beta(p_strain_acc) | |
| std::shared_ptr< ChFunction > | n_yeld_z |
| sigma_y(p_strain_acc) | |
| std::shared_ptr< ChFunction > | n_beta_z |
| beta(p_strain_acc) | |
| std::shared_ptr< ChFunction > | n_yeld_Mx |
| sigma_y(p_strain_acc) | |
| std::shared_ptr< ChFunction > | n_beta_Mx |
| beta(p_strain_acc) | |
| std::shared_ptr< ChFunction > | n_yeld_My |
| sigma_y(p_strain_acc) | |
| std::shared_ptr< ChFunction > | n_beta_My |
| beta(p_strain_acc) | |
| std::shared_ptr< ChFunction > | n_yeld_Mz |
| sigma_y(p_strain_acc) | |
| std::shared_ptr< ChFunction > | n_beta_Mz |
| beta(p_strain_acc) | |
| Public Attributes inherited from chrono::fea::ChPlasticityCosserat | |
| ChBeamSectionCosserat * | section |
| double | nr_yeld_tolerance |
| int | nr_yeld_maxiters |
Member Function Documentation
◆ ComputeStressWithReturnMapping()
|
overridevirtual |
Given a trial strain, it computes the effective stress and strain by clamping against the yeld surface.
An implicit return mapping integration step is computed automatically per each call of this function. Returns true if it had to do return mapping, false if it was in elastic regime
<<<< sigma_y(p_strain_acc)
<<<< beta(p_strain_e)
<<<< sigma_y(p_strain_acc)
<<<< beta(p_strain_acc)
<<<< sigma_y(p_strain_acc)
<<<< beta(p_strain_acc)
<<<< sigma_y(p_strain_acc)
<<<< beta(p_strain_acc)
<<<< sigma_y(p_strain_acc)
<<<< beta(p_strain_acc)
<<<< sigma_y(p_strain_acc)
<<<< beta(p_strain_acc)
<<<< sigma_y(p_strain_acc)
<<<< beta(p_strain_acc)
- Parameters
-
stress_n local stress (generalized force), x component = traction along beam stress_m local stress (generalized torque), x component = torsion torque along beam e_strain_e_new updated elastic strain (deformation part) e_strain_k_new updated elastic strain (curvature part) data_new updated material internal variables, at this point, including {p_strain_e, p_strain_k, p_strain_acc} tot_strain_e trial tot strain (deformation part): x= elongation, y and z are shear tot_strain_k trial tot strain (curvature part), x= torsion, y and z are line curvatures data current material internal variables, at this point, including {p_strain_e, p_strain_k, p_strain_acc}
Implements chrono::fea::ChPlasticityCosserat.
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
