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弹塑性有限变形力学的反逆渐近解法
引用本文:陈至达.弹塑性有限变形力学的反逆渐近解法[J].应用数学和力学,1997,18(11):959-966.
作者姓名:陈至达
作者单位:中国矿业大学北京研究生部, 北京 100083
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.

关 键 词:有限变形    弹塑性力学    计算方法    反逆渐近法
收稿时间:1996-03-25

Inverse Asymptotic Solution Method for Finite Deformation Elasto-Plasticity
Chen Zhida.Inverse Asymptotic Solution Method for Finite Deformation Elasto-Plasticity[J].Applied Mathematics and Mechanics,1997,18(11):959-966.
Authors:Chen Zhida
Institution:Beijing Graduate School, China University of Mining, Beijing 100083, P. R. China
Abstract:The development of modern mechanics in recent years has made many important progresses in the concepts and methods for nonlinear large deformation mechanics 1]2j3] 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.
Keywords:finite deformation  elasto-plasticity  computer method  inverse approximation  
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