摘要
建立了残余应力平板表面裂纹的线弹簧模型,利用边裂纹权函数得到了裂纹表面上沿厚度非线性分布残余应力向线性分布转化的公式;基于Reissner板理论和连续分布位错思想,通过积分变换方法,推导了问题的控制方程和应力强度因子表达式;利用Gauss-Chebyshev方法给出了数值计算结果,并与现有的有限元解进行了比较,结果表明:该模型简单有效,而且精度较高。
The line-spring model for surface cracks in a residually stressed plate is established in this paper firslty. Then the residual stress＇ transform formula from nonlinear to linear gradients along the crack surface is obtained using the edge-cracked weight function. Based on the Reissner＇s plate theory and continuously distributed dislocation, the integral transfer method is employed to formulate the governing equations and the expression of stress intensity factor. Numerical results solved by Gauss-Chebyshev method are presented and compared with those of the finite element method, showing that the line-spring model is simple, efficient and accurate.
出处
《工程力学》
EI
CSCD
北大核心
2008年第8期230-234,共5页
Engineering Mechanics
关键词
线弹簧模型
表面裂纹
残余应力平板
权函数
应力强度因子
line-spring model
surface crack
residually stressed plate
weight function
stress intensity factor
