摘要
通过复变函数论的方法,对复合材料圆盘状裂纹的轴对称性扩展问题进行研究。采用自相似方法,并根据任意的自相似指数的轴对称断裂动力学问题,进行自相似求解,导出解析解的一般表示。应用该法可以将所讨论的问题转化为Riemann-Hilbert问题,并可以相当简单地得到问题的闭合解。利用这些解并采用叠加原理,就可以求得任意复杂问题的解。
The axisymmetric propagating problem of a penny-shaped crack in composite material is studied using complex function method. The general representations of analytical solutions with arbitrary index of self-similarity are deduced for axisymmetric dynamic fracture problems. The problems are transformed into Riemann-Hilbert problems and closed form solutions are obtained simply. The solutions of arbitrarily complex problems can be attained on the basis of superposition of the available solutions.
出处
《工程力学》
EI
CSCD
北大核心
2005年第S1期35-38,30,共5页
Engineering Mechanics
关键词
圆盘状裂纹
轴对称性
复合材料
解析解
自相似
penny-shaped crack
axisymmetry
composite material
analytical solution
self-similarity
