弹塑性有限变形力学的反逆渐近解法  

Inverse Asymptotic Solution Method for Finite Deformation Elasto-Plasticity

作　　者：陈至达[1] 

机构地区：[1]中国矿业大学北京研究生部,北京100083

出　　处：《应用数学和力学》1997年第11期959-966,共8页Applied Mathematics and Mechanics

摘　　要：最近几十年中，近代力学的非线性有限变形理论在概念与方法上有许多重要的进展（［1］，[2]，［3］等）．本文旨在说明自然拖带系描述法与Stokes-陈分解定理如何结合反过渐近解法于有效解答弹塑性有限变形力学问题应用至工程设计目的．文中举半平面冲压大变形为典型数值解例．The development of modern mechanics in recent years has made many important progresses in the concepts and methods for nonlinear large deformation mechanics [1][2j[3] etc. The present paper is aimed to show how the natural co-moving system method and Stokes-Chen's decomposition theorem can be effectively applied asymptotically to solving problems of finite deformation elasto-plasticity by inverse asymptotic method for engineering design purpose.Rigid punch problem is examplified in the paper.

关 键 词：有限变形 反逆渐近法 弹塑性变形 数值解 

分 类 号：O344.3[理学—固体力学]