摘要
通过复变函数论的方法,对材料的非线性特性下的Ⅲ型界面裂纹Dugdale模型的动态扩展问题进行了研究.采用自相似函数的方法可以获得解析解的一般表达式.应用该法还可以很容易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.
By the theory of complex functions, dynamic propagahon problem on Dugdale model of mode Ⅲ interface crack for nonlinear characters of materials was studied. The general expressions of analytical solutions are obtained by the methods of serf-similar functions. The problems dealt with can be easily transformed into Riemann-Hilbert problems and their closed solutions are attained rather simple by this approach. After those solutions were utilized by superposition theorem, the solutions of arbitrarily complex problems could be obtained.
出处
《应用数学和力学》
CSCD
北大核心
2005年第9期1105-1113,共9页
Applied Mathematics and Mechanics
