一个弹-粘塑性问题的统一解析解

THE UNIFIED SOLUTION FOR AN ELASTO-VISCOPLASTIC PROBLEM

采用统一强度理论对平面应变轴对称问题在弹一粘塑性状态下的解析解进行了分析，由此得到的统一解可以蜕化成一系列从ＭＯｈｒ－Ｃｏｕｌｏｍｂ单剪强度理论到双剪强度理论的平面应变轴对称问题解析式．文献中已有的关于弹一粘塑性问题的单剪解为本文的特例，统一强度理论可以给出更符合各种不同材料特性的合理解．

in this paper, based on the unifiedstrength theory, a plane strain axisymmetric problem under the state of the elasto-viscoplasticity wasanalyzed and a unified solution was obtained, fromwhich a set of solutions can be obtained based ondifferent strength theories from the Mohr-coulombstrength theory to the twin shear strength theory.The results in the references are only the special solutions. By using the Unified Strength Theory, themore proper solution about different materials canbe derived.