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弹塑性变形中的弹性效应
引用本文:田常录,那日苏.弹塑性变形中的弹性效应[J].船舶力学,2007,11(3):415-426.
作者姓名:田常录  那日苏
作者单位:江南大学机械学院,江苏,无锡,214122;内蒙古工业大学机械学院,内蒙古,呼和浩特,010062
摘    要:由于数学上的困难,弹塑性问题分析中一般忽略弹性变形.而且,求解时对本构方程的一些简化方法如不可压缩假设等被广泛采用.本文分析了一种比拟解答的优点和其在某些方面的改进,并以平面应变下的弹塑性单元体为例,详细计算和分析了不同应力状态下弹塑性变形过程中的弹性效应.

关 键 词:弹性效应  弹塑性变形  本构方程
文章编号:1007-7294(2007)03-0415-12
修稿时间:2006-06-13

Elastic Deformation in Yield Zones for the Elastic-Plastic Plane Strain Problems
TIAN Chang-lu,NA Ri-su.Elastic Deformation in Yield Zones for the Elastic-Plastic Plane Strain Problems[J].Journal of Ship Mechanics,2007,11(3):415-426.
Authors:TIAN Chang-lu  NA Ri-su
Institution:1. Dept. of Mechanics, Southern Yangze University, Wuxi 214122, China; 2. Dept. of Mechanics, Inner Mongolia Polytechnic University, Hohhot 010062, China
Abstract:In the solution procedures of elastic-plastic problems the elastic deformation in yield zones was generally omitted due to the mathematical difficulty,and some simplified constitutive equations such as the incompressible model are widely employed in the classical plasticity. The analogy results derived in this work are compared with those of the common elastic-plastic methods, and the merit of the analogy results and the improvements in some respects are presented. Based on the basic stress element,the effects of elasticity in different stress states of non-linear elastic-plastic problems are evaluated in detail.
Keywords:elastic effect  elastic-plastic deformation  constitutive equations
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