A Posteriori Error Estimation and Adaptive Mesh Generation in Two-dimensional Elasto-plastic Finite Element Analyses for An Integrated System〔含討論〕

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Based on a series of works finished by our research group, this paper presents a systematic method of element-wise a posteriori error estimation and adaptive mesh generation in finite element analysis in two-dimensional elasto-plastic problems for an integrated system. In this method, the error is estimated element by element for the arbitrary shaped elements, such as triangle and quadrilateral isoparametric elements. A technique to partition the error force of traction jump between adjacent elements is discussed. The mesh is originally generated according to the geometric condition of the configure model and regenerated automatically according to the error norm and its distribution with the objective that the total error energy norm in the whole domain becomes minimum. The high convergent rates of error energy norm are obtained in two numerical examples. Since the calculation is done with the arbitrary shaped elements and the mesh is regenerated automatically, the method developed in this paper has high abilities and effectiveness for two-dimensional elasto-plastic problems in the real engineering field.
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