不同材料界面上受τ_0t~n型载荷作用的扩展裂纹问题

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。

PROBLEM OF PROPAGATION CRACK SUBJECTED TO τ0t LOADS IN INTERFACES BETWEEN DISSIMILAR MEDIA

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 g...