摘要
变量t的任意连续函数在任意闭域中都可以用多项式a_nt^m来一致的逼近,进而t的任意函数都可以表示为函数t_ot^n的线性叠加,利用复变函数理论,我们将在不同材料界面上受t_ot^n型载荷作用的扩展裂纹问题化为解析函数理论中的Keldysh-sedov混合问题,本文给出了这一问题的闭合解,并且这一解可以作为Green函数使用。
An arbitrary continues function of variable t can be uniformly approximated in any closed region by a polynomial, that is by the sum of terms of the form tn. Furthermore any function of t may be represented as a linear superposition of τ0tn. By the theory of complex functions, the problem of propagation crack subjected to τot' loads in interface between dissimilar media can be changed into the Keldysh-Sedov mixd problem of theory of analytic functions. In this paper, the closed solution of this problem is given and used as the Green's function.
出处
《力学学报》
EI
CSCD
北大核心
1990年第4期468-472,共5页
Chinese Journal of Theoretical and Applied Mechanics
关键词
层裂
裂纹
载荷作用
材料
断裂力学
slabbing, fracture mechanics, dynamics of fracture
