A stable P1/P1 finite element for finite strain von Mises elasto-plasticity

被引：7

作者：

Feulvarch, E. ^{[1
]}

Roux, J. -C. ^{[1
]}

Bergheau, J. -M. ^{[1
]}

Gilles, P. ^{[2
]}

机构：

[1] Univ Lyon, CNRS, ENISE, LTDS,UMR 5513, 58 Rue Jean Parot, F-42023 St Etienne 2, France

[2] GEP INT, 103 Rue Rome, F-75017 Paris, France

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2017年 / 324卷

关键词：

Finite element method; Mixed formulation; Plasticity; Stabilization; PLASTICITY; INCOMPRESSIBILITY; STABILIZATION; SIMULATION;

D O I：

10.1016/j.cma.2017.06.026

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The finite element P1/P1 is well known for being unsuitable for the simulation of incompressible material flows. In von Mises elasto-plasticity, the volume changes can become negligible when the plastic strain grows higher than the elastic strain. Thus, the material flow is nearly incompressible even if a small volumic elastic strain persists. In this context, the finite element P1/P1 leads to pressure oscillations which need to be addressed for achieving satisfactory solutions. The aim of this work is to propose a stabilized formulation without introducing new degrees of freedom or stabilization parameters as for sub-grid scale techniques. Unlike to the standard SUPG method, the stabilization depends on the time step. Examples show that a first order accuracy can be obtained for the pressure and the approach developed can be well suited for cyclic loadings. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：537 / 545

页数：9

共 27 条

[1] Computational Modeling and Sub-Grid Scale Stabilization of Incompressibility and Convection in the Numerical Simulation of Friction Stir Welding Processes [J].