摘要
在解线性强化平面应变弹塑性问题时,往往不考虑弹性效应的影响而假定面外应力σ3=0.5(σ1+σ2)。为了得到考虑弹性效应影响时的面外应力和面内应力的关系,引入了反映弹塑性变形比例的参数vep,导出了面外应力和面内应力之间的关系式。该关系式表明:面外应力可由面内应力惟一地确定,而且它们之间呈近似线性的分布关系。
The effect of elasticity for bi-linear elastic-plastic plane strain problems is always neglected. On this condition,there is an assumpation of the out-of-plane σ3 = 0.5 （σ1 ＋ σ2）. The relation between out-of-plane stresses and in-plane stresses is examined when elasticity is taken into account. By introducing a constraint variable of vep, the expression of out-of-plane stresses is derived. This expression indicates that out-of-plane stresses could be expressed directly in terms of in-plane stresses,and the distributions are nearly straight lines. These results provides a simple way to the determination of out-of-plane stresses for common elastic-plastic plane strain problems.
出处
《江南大学学报（自然科学版）》
CAS
2009年第2期198-201,共4页
Joural of Jiangnan University (Natural Science Edition)
关键词
面外应力
弹塑性变形
平面应变问题
out-of-plane stresses, elastic-plastic deformation, plane strain problems
作者简介
王淑丽（1983-），女，山东高密人，机械设计及理论专业硕士研究生。
通讯作者：田常录（1963-），男，内蒙古包头人，教授，博士生导师。主要从事断裂力学等研究。Email：cltian63@163．com
