摘要
从变形协调方程出发，利用全量理论提出了一种求线性硬化材料界面端问题的应力函数解法 并求得了线性硬化材料界面端附近的弹塑性奇异应力场．结果表明，采用线性硬化的弹塑性模型时应力 仍有奇异性，该奇异性可只用两个扩张了的Ｄｕｎｄｅｒｓ异材参数α，β来描述．特别地当硬化系数Ｈ与剪切 弹性模量μ之间有Ｈ’／μ＜＜１的关系时，可只用一个参数α来描述，且α基本上只与硬化系数有关。
The elastoplastic singular stress field at the interface edge between two linear hardening bonded materials is deduced from the compatibility equation by using total strain theory and the extended Goursat stress functions. It is found that the elastoplastic singular stress field can be described with two extended Dunders parameters α,β which are mainly related to the hardening coefficients. Moreover, for the case of H' /μ<<1, it needs only one extended Dunders parameter α to describe the stress field.
基金
国家教育部优秀青年教师基金
关键词
弹塑性
界面端
线性硬化材料
奇异应力场
elastoplasticity
interface edge
linear hardening $stress singularity
stress function
