Revisited Simo algorithm for the plane stress state

作者:

Highlights:

• The differential type elasto-plastic model with mixed hardening describing the in-plane stress state.

• The update algorithm to solve the model, based on the radial return algorithm adapted to the in-plane stress.

• The discretized weak formulation of the non-linear elastic-type problem; finite element implementation.

• The algorithmic elasto-plastic tangent moduli rebuilt to solve the non-linear system for displacements.

• Comparison of the Simo solution and the in-plane stress solution applied to a trapezoidal plate.

摘要

•The differential type elasto-plastic model with mixed hardening describing the in-plane stress state.•The update algorithm to solve the model, based on the radial return algorithm adapted to the in-plane stress.•The discretized weak formulation of the non-linear elastic-type problem; finite element implementation.•The algorithmic elasto-plastic tangent moduli rebuilt to solve the non-linear system for displacements.•Comparison of the Simo solution and the in-plane stress solution applied to a trapezoidal plate.

论文关键词:Elasto-plastic model,Plane stress,Variational formulation,Finite element method,Trial state,Radial Return Mapping Algorithm,Numerical simulation

论文评审过程:Available online 8 May 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.03.126