摘要
对于象单向复合材料的典型横观各向同性弹性体,本文引入了三个位移势函数,求出了问题的基本解,根据弹性力学的Betti定理,建立了三维横观各向同性二次等参单元的边界单元法。最后,计算了两个算例,特别是使用该方法研究了单层纤维复合板在拉伸时的孔边应力集中。
The paper introduced three displacement potential functions and derived a fundamental solution for an unidirectional composite material which is a typical transversely isotropic elasticity. Based upon Betti's elastic reciprocal theorem,a boundary element method with isoparameter elements for the 3-D transverse isotropic elasticity was developed. Finally, two examples were calculated for illustration. Especially, the method was applied for analyzing the stress concentration of an unidireetional composite material with a center hole under extension.
基金
国家自然科学基金
关键词
复合材料
应力分析
边界元法
unidirectional composite materials, transverse isotropic, boundary element method, fundamental solution.
