复合材料平面应力问题的弹性力学解法  

Elastic Mechanical Solution of Plane Stress Problem for Composite Materials

作　　者：贾普荣[1] 

机构地区：[1]西北工业大学力学与土木建筑学院,陕西 西安

出　　处：《力学研究》2020年第3期95-102,共8页International Journal of Mechanics Research

摘　　要：复合材料具有各向异性的力学特性,弹性方程较为复杂,其应力边值问题的求解引起广泛关注。考虑正交异性材料平面应力边值问题并按弹性力学方法建立基本方程。基于复变函数理论和坐标变换法对控制方程进行求解,并推导出正交异性材料平面问题的应力场。Composite materials are of anisotropic behaviours in the mechanic property. The elastic equations are relatively complex. The solutions of stress boundary problems have given wide attention. Typical plane stress boundary problem for the orthotropic materials is considered and the basic equations are determined by the method of elastic mechanics. Based on the theory of complex variable function and the coordinate transformation, the governing equation is solved and stress fields of the plane problem are derived for the orthotropic materials.

关 键 词：复合材料 平面应力 弹性力学 复变函数 坐标变换 

分 类 号：O17[理学—数学]