大变形弹塑性率变分极值原理  

Rate Variational Extremum Principles for Finite Elastoplasticity

作　　者：高杨[1] E.T.昂纳特 

机构地区：[1]合肥工业大学预测与发展研究所 [2]耶鲁大学机械系

出　　处：《应用数学和力学》1990年第7期617-624,共8页Applied Mathematics and Mechanics

摘　　要：在Updated Lagrangian率形式下,研究了大变形弹塑性率问题的对偶极值变分原理.证明了变分泛函的凸性取决于一个所谓的间隙函数.Dual variational extremum principles for rate problems of classical eastoplasticity at finite deformation are studied in Updated Lagrangian rate forms. It is proved that the connexity of the variational functional are closely related to a so-called gap function, which plays an important role in nonlinear variational problems.

关 键 词：大变形 弹塑性 变分泛函 凸性 

分 类 号：O344.3[理学—固体力学]