Abstract
The methods for a posteriori error estimation in element-wise analysis and improvement of finite element solution are developed recently by the authors for two-dimensional elasto-plastic problems. Based on the distributions of the error energy norm, the paper discusses the effects of mesh shape and size on the error energy norm and the relationship between total error energy norm and the distribution of error on each element. The minimum total error energy norm of the model is obtained and the stress solution of element-wise method is improved with the adaptive mesh techniques. Two adaptive mesh methods of r-version and h-version procedures are used for two elasto-plastic structural models respectively in this paper. Good results show that the minimum error principle and r-version and hversion adaptive procedures can be used in elasto-plastic problems effectively and accurately.
