摘要
针对含不同孔型复合材料板,根据非均质各向异性弹性理论和复变函数理论,提出了积分方程法求解方案。建立了相应的数学模型,对含不同孔型复合材料板进行了孔边应力分析,通过保角映射方法建立精确的边界条件,解决了复杂孔型的边界条件问题,借助仿射变换能同时并且同方法的处理这两个应力函数在边界上的问题。建立了基于准确的边界条件的边界积分方程分析体系,最终得到开口结构的应力分布。给出了含矩形和八边形孔复合材料板的精确解析解。并针对不同的荷载状况,以及它们对矩形和八边形孔边应力集中系数的影响进行探讨。
In this paper composite material plate with multiform holes was reviewed, and its Integral equation method was presented. Corresponding mathematics model was developed, hole-edge stress analysis on composite material plate with muhiform holes was carried out, accurate boundary conditions was founded by conformal mapping method, boundary problems of the two stress functions could be treated by affine transformation in the same way synchronously. Analysis system of boundary integral equation based on the above mentioned accurate boundary condition was set up. Finally stress distribution of opening strecture is achieved, and accurate analytical solutions of composite materials plate with rectangular and octagonal holes are given. Moreover, various loading statuses were, reviewed, and their influence on stress concentration coefficient of the hole-edge were discussed.
出处
《机械设计与研究》
CSCD
北大核心
2006年第5期74-77,共4页
Machine Design And Research
关键词
积分方程
正交各向异性板
应力集中系数
保角映射
应力场
integral equation
orthotropic plate
stress concentration coefficient
conformal mapping
stress field
