摘要
把多保角变换复变函数理论和边界配点最小二乘法相结合，提出了弹性力学中的计算复变函数法的概念，并以此来计算含有任意多个椭圆孔（ 包括裂纹） 有限大小复合材料层合板的应力场．每个孔的大小、位置为任意．板的边界由下列４ 种边界条件以及它们的组合所组成：①已知Ｐｘ 和Ｐｙ 的应力边界； ②已知Ｖｘ 和Ｖｙ 的位移边界；③已知法向位移ＶＮ 和切向力ＰＴ 的混合边界；④已知法向力ＰＮ 和切向位移ＶＴ 的混合边界．编制了相应的ＦＯＲＴＲＡＮ９０ 程序，进行了考题和算例分析，结果表明本方法行之有效，程序使用方便．
The stress functions of multiple complex variables combined with the boundary collocation and least squares method are used to calculate the stress field of an elastic finite plate with multiple elliptical holes whose sizes and locations are arbitrary. The boundaries of the holes consist of the following four types of boundary conditions and their combinations:① the stress boundary of known forces P x and P y , ② displacement boundary of known displacement V x and V y , ③ mixed boundary of known normal displacement V N and tangential force P T, ④ mixed boundary of known normal force P N and tangential displacement V T. Examples are given, and the results show that this method is very effective and convenient.
出处
《东南大学学报（自然科学版）》
EI
CAS
CSCD
1999年第6期113-118,共6页
Journal of Southeast University：Natural Science Edition
基金
航空科学基金
关键词
计算复变函数
复合材料
板
孔
裂纹
应力计算
computational complex method
composite materials
plate
hole
crack
stress calculation
