Analysis and numerical solution of a frictionless contact problem for electro-elastic–visco-plastic materials
- 作者：Weimin Han ; M. Sofonea ; Kamran Kazmi
- 关键词：Piezoelectric material ; Electro-elastic– ; visco-plastic constitutive law ; Frictionless contact ; Signorini’ ; s condition ; Weak solution ; Fully-discrete scheme ; Finite element method ; Convergence ; Error estimation ; Numerical simulation
- 刊名：Computer Methods in Applied Mechanics and Engineering
- 出版年：2007
- 期刊代码：27_00457825
- 类别：cp
- 出版时间：1 August 2007
- 卷：196
- 期：37-40
- 页码：3915-3926
- 文件大小：487 K
摘要
A quasistatic frictionless contact problem is studied, modelled with the Signorini contact condition with a gap function. The material behavior is modelled with an electro-elastic–visco-plastic constitutive law, allowing piezoelectric effects. A weak formulation for the model is given in the form of a coupled system for the displacement, the stress, the electric displacement and the electric potential fields. Existence and uniqueness of a weak solution is proved. A fully discrete scheme is introduced for solving the problem. Under certain solution regularity assumptions, an optimal order error estimate is derived. Some numerical results are reported on a two-dimensional test problem.