Dynamic Propagation Problem on Dugdale Model of Mode Ⅲ Interface Crack
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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.Abstract: By the the ory of complex functions,dynamic propagation 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 self-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.
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Key words:
- complex function /
- Dugdale model /
- interface crack /
- self-similar function /
- analytical solution
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