刚塑性含空洞材料变分原理的研究  

Study on the Variation Principle of Rigid-Plastic Material Containing Voids

作　　者：李昱明[1] 洪锡军[1] 彭颖红[1] 

机构地区：[1]上海交通大学塑性成形工程系,上海200030

出　　处：《上海交通大学学报》2001年第10期1535-1538,共4页Journal of Shanghai Jiaotong University

摘　　要：根据含空洞材料的 Gurson- Tvergaard塑性势函数 ,将由于空洞的物理作用引起的损伤和体积膨胀效应考虑到连续介质本构方程中 ,给出并证明了刚塑性含空洞材料的变分原理 .给出的广义变分原理为用有限元方法模拟含空洞材料的塑性成形过程提供了理论基础 .Based on the Gurson-Tvergaard plastic potential of the material containing voids, this paper took into account the damage factors and the volume-growing effect due to the voids' functions in the constitutive equation. A principle of variations for the rigid-plastic material containing voids was deduced and verified. Furthermore, a generalized variation principle of porous materials was proposed. These two principles provide a theoretical base to the simulation of the deformation process of the material containing the voids by using the FEM.

关 键 词：变分原理 空洞 有限元 Gurson-Tvergaard塑性势 金属塑性加工 本构方程 

分 类 号：TG301[金属学及工艺—金属压力加工]