摘要
弹性方程的边值问题,无论是在理论上,还是在工程技术上都是很重要的问题。由于二维弹性问题的解析解获得解决,因此三维问题的解析解引起许多学者的关注。本文利用积分变换分析了各向同性、连续介质的三维弹性问题;并用第二类 Fredholm算子方程,给出了该问题的解析解。
The boundary value problem of elasticity equation is very important in both theoretical field and engineering techniques. Since two- dimensional elasticity equation has been analytically solved, it arises attentions of many scholars to find the analytical solution of three- dimensional elasticity equation. In this paper, integral transformation is used to analyze three- dimensional elasticity problem of isotropic continuous medium. By applying second kind Fredholm operator equation, the analytic solution of this probem is given.
出处
《哈尔滨建筑大学学报》
2000年第4期117-120,共4页
Journal of Harbin University of Civil Engineering and Architecture
关键词
弹性问题
积分变换
解析解
三维问题
elasticity problem
integral transformation
analytical solution