摘要
通过复变函数论的方法,对非对称Ⅲ型裂纹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。应用该法可以迅速地将所论问题转化为Riemann-Hilbert问题,并给出了坐标原点分别受到脉冲载荷、阶越载荷作用下解析解的一般表达式。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 theoretical method for complex functions, dynamic propagation problems concerning asymmetrical mode Ⅲ cracks were researched. The analytical solutions can be attained by the approaches of self-similar functions. The problems dealt with can be readily transformed into Riemann-Hilbert problems by this technique, and general expressions of analytical solutions are given considering the action of pulse loads and unit-step loads located at the origin of the coordinates respectively. Utilizing these solutions obtained and superposition principle, the solutions of discretionarily intricate problems can be acquired.
出处
《工程力学》
EI
CSCD
北大核心
2009年第7期16-21,38,共7页
Engineering Mechanics
基金
中国博士后基金项目(2003033378)
国家自然科学基金项目(30205035)
黑龙江省自然科学基金重点项目(ZJG04-08)
关键词
复变函数
自相似函数
非对称Ⅲ型裂纹动态扩展解析解
complex functions
self-similar functions
asymmetrical mode Ⅲ crack
dynamic propagation
analytical solutions
