摘要
对表面受与ｒｎ（ｎ≥０）成正比的分布载荷的楔，当楔顶角２α与ｎ之间满足一定关系时，经典解为无穷大，这是一个佯谬．本文采用复变函数方法，研究了这个佯谬的所有情形，并发现存在二次佯谬，即对某些特定的（ｎ，α），佯谬解仍为无穷大。
The classical solution for the stress distribution in an elastic wedge subjeted to tractions in proportion to r n(n0) becomes infinite when the wedge angle 2α and n satisfy certain relations. This paradox has been resolved by Demsey and Ting when n=0 ,and when n>0 and 2α=π or 2π it has been resolved by Wang Minzhong,however,the researches above provide only a few parts of the resolution for the paradox. In this paper we study all the cases of this paradox by adopting the method of complex functions.We obtain a solution to the paradox and discover that it is still infinite for some special values of (n,α) ,this second paradox has also been resolved in the paper.
出处
《力学学报》
EI
CSCD
北大核心
1997年第1期62-73,共12页
Chinese Journal of Theoretical and Applied Mechanics
