两种不同正交异性楔的弹性接触

The Problem of Elastic Contact Between Two Dissimilar Orthotropic Wedges

本文给出了满足圆柱型正交异性体相容方程的应力函数,称为广义Airy应力函数。应用该应力函数还找到了用两种不同材料(皆为均匀、正交异性)组成的复合楔形体,在表面分布荷载作用下,应力和位移的一般解析式。式中含有的两个参数k租e分别表示材料的正交异性和不同介质特性。当命k=1或e=1或k=1、e=1等等。可得到关于材料特性有六种不同类型组合的一般解析式。文中给出的实例,精确地满足所有条件。

It gives in this paper a suggested stress function satisfing the compatible equation of cylindrical orthotropic body, which, for the time being, may be named the generalized Airy stress and function, By the use of this stress function, the author obtains by derivation the general analytical expressions of stress and displacement of a composite wedge body made from two different homogeneous and dissimilar orthotropic materials under distributed surface loadings. In the expressions, there are two parameters, K snd e, representing respectively the properties of the orthotropicity and the different characteristics of the media, putting K = 1, or e=1 or K=e=1, we may obtain six analytical expressions of the properties of the material. The results of a concrete example satisfy all conditions precisely.