Ⅲ型裂纹非对称动态扩展解的基本形式  

Rudimental Modality of Solution of Asymmetrically Dynamic Extension of Mode Ⅲ Crack

作　　者：吕念春[1,2] 程云虹[3] 程靳[1] 

机构地区：[1]沈阳理工大学材料科学与工程分院,辽宁沈阳110159 [2]哈尔滨工业大学航天工程与力学系,黑龙江哈尔滨150001 [3]东北大学土木工程系,辽宁沈阳110006

出　　处：《沈阳理工大学学报》2012年第1期1-4,共4页Journal of Shenyang Ligong University

基　　金：中国博士后基金项目(2005038199);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型裂纹非对称动态扩展解的基本形式进行推导。采用自相似函数的途径可获得解析解的一般表达式,使得问题相应地简化,并具有一定的普遍性。应用该法可迅速地将所讨论的问题转化为Keldysh-Sedov问题,而这一类问题容易用通常的Muskhelishvili方法解决。利用已获得的解析解和叠加原理,可求得任意复杂问题的解。By the approaches of the theory of complex functions,rudimental modality of solution of asymmetrically dynamic extension of mode Ⅲ crack was deducted.Universal expressions of analytical solutions are acquired by the measures of self-similar functions,and the problems become reasonably straightforward and have determinative catholicity.By application of this means,the problems researched can be readily translated into Keldysh-Sedov problems which are facilely settled by Muskhelishvili＇s technique.Making use of analytical solutions gained and superposition principle,the solutions of discretionarily intricate problems could be attained.

关 键 词：Ⅲ型裂纹 非对称动态扩展 解析解 自相似函数 

分 类 号：O346.1[理学—固体力学]