含有圆形夹杂的无限大平面的弹性力学基本解  

The basic solution of elastic mechanics for plane with a circular insert

作　　者：万强[1] 王婷[1] 李炳南 

机构地区：[1]郑州大学环境与水利学院,河南郑州450002 [2]河南省水利电力对外公司,河南郑州450002

出　　处：《河南科学》2004年第4期447-450,共4页Henan Science

基　　金：河南省杰出青年科学基金项目资助(0212001800)

摘　　要：采用Airy应用函数法,对含有圆形夹杂的无限大平面的弹性力学基本解进行了系统分析,获得了径向及切相单位集中力作用下平面内任一点用显式表达的应力场和位移场。这一解答可以方便地应用于含有圆形夹杂的无限大平面问题的边界单元法研究,同时,也为研究均质弹性平面中的裂纹问题以及圆形夹杂和裂纹之间的相互作用问题提供了基础。The paper analyses the basic solution of elastic mechanics for plane with a circular insert scientifically by means of Airy stress function, gets the stress field and the displacement field of a point in the plane under radial and tangentially directed unit concentrate force by apparent formula. This solution can be used to study the boundary element method of plane with a circular insert conveniently, and lay a foundation to study crack problem of homogeneous elastic plane and interaction of circular insert and crack.

关 键 词：圆形夹杂 位移 应力 基本解 

分 类 号：O346.1[理学—固体力学]