基于多复函的各向异性板弹性力学解法  

Solution Method of Elastic Mechanics for Anisotropic Plate Based on Multiple Complex Functions

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》2021年第3期194-203,共10页International Journal of Mechanics Research

摘　　要：各向异性板是复合材料基本结构形式,其应力边值问题的弹性力学解法成为工程结构受力分析的理论基础。本文运用多复变函数论的概念,选择典型的边界受力各向异性板,建立求解弹性力学问题的基本方程与多复函方法。作者通过引入多复变量和坐标代换方法推导出各向异性板的应力场。本文思路与解法有助于改进复合材料力学的基础理论和研究方法。The anisotropic plate is the basic construction shape of composite materials. The solution method of elastic mechanics for its stress boundary problems must become the basis of loading analysis to engineering structures. By using the concept of multiple complex variable functions and selecting the typical anisotropic plate to be loaded on the local edge, the basic equations and multiple com-plex function methods have been established for solving the elastic mechanical problems. By means of introducing the multiple complex variables and the coordinate replace method, the stress fields of the anisotropic plate have been determined. The train of thought and the solution method in this paper may be an aid to improve the basic theory and research method in the composite mechanics.

关 键 词：各向异性板 弹性力学解 复合材料力学 弹性力学问题 基本结构形式 多复变函数论 边值问题 结构受力分析 

分 类 号：G63[文化科学—教育学]