摘要
研究层状介质含垂直于界面有限裂纹的断裂力学问题。利用积分变换方法，引入位错密度函数，导出了反映裂纹尖端奇异性的奇异积分方程组，并求得对应于裂纹出现在层内、扩展到界面以及穿越界面形成反射裂纹等三种情况的奇异性系数。最后运用Chebyshev、Jacobi等正交多项式化奇异积分方程组为代数方程组，进而求得裂纹尖端的应力强度因子。
In this paper the plane elasticity problem for Layered elastic systems containing a finite crackperpendicular to the interface is considered. To derive the singular integral equations, the Fouriertansform and dislocation density functions is used. The singularity of finite crack fully imbeded inhomogeneous medium and crack front terminating at the interface and propagation into the another medium is discussed. A simple and highly effective numerical method-orthogonal polynomialstransformation has been used to solve the singular integral equations. The formulas of stress intensity factors at the crack tips are given.
出处
《长沙交通学院学报》
1997年第2期45-53,共9页
Journal of Changsha Communications University
基金
国家自然科学基金
关键词
垂直界面
有限裂纹
断裂力学
层状介质
singular integral equation
dislocation density function
orthogonal polynomial
stress intensity factor
