多层半无限弹性体在任意荷载作用下的解析解  

A THEORETICAL ANALYSIS FOR LAYERED HALF-SPACE UNDER ARBITRARY LOADING

作　　者：孟凡顺[1] 郭海燕[1] 白云飞[1] 

机构地区：[1]大庆石油学院

出　　处：《工程力学》1997年第3期104-111,共8页Engineering Mechanics

摘　　要：本文从柱坐标系下弹性力学基本方程出发，经关于方位角的Ｆｏｕｒｉｅｒ变换及关于径向的Ｈａｎｋｅｌ变换，建立了介质层的传递矩阵，利用层间完全接触条件，给出了多层半无限弹性体在任意荷载作用下的理论解。由于不必要引入应力函数，所以，本方法概念清晰、易懂、便于实际应用。By means of the Fourier-Hankel mixed transform, the explicit solution for layered half-space under arbitrary loading is derived driectly from the essential equation based on the displacement method for three-dimensional nonaxisymmetrical problems. This method is clear in concept, and the corresponding fomulas given in the paper are simple and covenient for application.

关 键 词：层状介质 传递矩阵 任意荷载 解析解 弹性力学 

分 类 号：O343.2[理学—固体力学]