非对称Ⅲ型裂纹的动态扩展问题  

DYNAMIC PROPAGATION PROBLEMS OF ASYMMETRICAL MODE Ⅲ CRACKS

作　　者：吕念春[1,2] 程云虹[3] 王云涛[2] 程靳[2] 

机构地区：[1]沈阳理工大学材料科学与工程学院,沈阳110168 [2]哈尔滨工业大学航天工程与力学系,哈尔滨150001 [3]东北大学土木工程系,沈阳110006

出　　处：《工程力学》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)

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.

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 

分 类 号：O346.1[理学—固体力学]