摘要
通过复变函数论的方法,对Ⅰ型裂纹面中心区受均布载荷作用下的非对称动态扩展问题进行研究。采用自相似函数的方法可以获得应力、位移和应力强度因子的解析解。应用该法可以很容易地将所讨论的问题转化为Riemann—Hilbert问题,然后应用Muskhelishvili方法就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 methods of the theory of complex functions, asymmetrical dynamic propagation problem on the central sections of mode Ⅰ crack surfaces subjected to homogeneous loadings was researched. Analytical solutions to stresses, displacements and dynamic stress intensity factors are obtained by the measures of self-similar functions. The problems investigated can be very facilely transformed into Riemann-Hilbert problem and their closed solutions are easily obtained by Muskhelishvili＇s approach. Utilizing those solutions and superposition theorem, the solution to arbitrarily complex problems can be easily attained.
出处
《工程力学》
EI
CSCD
北大核心
2007年第4期29-34,共6页
Engineering Mechanics
基金
中国博士后基金(2005038199)
黑龙江省自然科学基金(ZJG0408)资助
关键词
Ⅰ型裂纹
均布载荷
非对称动态扩展
自相似函数
解析解
mode Ⅰ crack
homogeneous loads
asymmetrical dynamic propagation
self-similar functions
analytical solutions
