动态Ⅲ型裂纹表面受不同载荷作用下的解析解  

ANALYTICAL SOLUTIONS TO THE SURFACE OF DYNAMIC MODE Ⅲ CRACK SUBJECTED TO DIFFERENT LOADS

作　　者：吕念春[1,2] 王云涛[2] 程云虹[3] 徐玉荣 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 [4]哈尔滨建成集团有限公司,哈尔滨150030

出　　处：《工程力学》2009年第A01期24-28,50,共6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Ⅲ型动态裂纹表面受双重载荷、瞬时冲击载荷作用下的问题分别进行研究。采用自相似函数的方法可以获得应力、位移、应力强度因子、应变能密度因子和位错分布函数的解析解。应用该法可以迅速地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,就可以很容易地求得任意复杂问题的解。By the measures of theory for complex functions, the problems on the surface of a mode Ⅲ dynamic crack subjected to superimpose loads and impact loads were studied, respectively. Analytical solutions to the stress, displacement, stress intensity factor, strain energy density factor and dislocation distribution function are attained by the approaches of self-similar functions. The problem researched can be very facilely translated into Riemarm-Hilbert problem and its closed solution will be obtained rather straightforward by this technique. Using the solution and superposition theorem, the solution of an arbitrarily complex problem can be acquired.

关 键 词：复变函数 Ⅲ型动态裂纹 自相似函数 解析解 闭合解 

分 类 号：O346.1[理学—固体力学]