引潮力的全球位移场及应力场

本文将地球看作由若干层均匀弹性球壳及一个液核所组成。文中用弹性力学方法得出了在日月引潮力作用下全球位移场及应力场的解析解。由它们将易于分析各种参数变化所产生的效应,这有助于地球模型的构制。 作为例子,文中对1981年IGS及IUGG公布并建议采用的“初步参考地球模型”（简称PREM模型）计算了引潮力引起的全球位移场及应力场,给出了模型地球的内部位移及应力的分布曲线。同时,对PREM模型计算了勒夫数及潮汐因子。计算结果与观测值相当吻合。

GLOBAL DISPLACEMENT AND STRESS FIELDS DUE TO TIDAL ATTRACTION

In this paper,an analytical solution for the global displacement and stress fields due to the tidal attraction of the sun and the moon is given. It is supposed that the earth is composed of a number of homogeneous elastic spherical shells and a liquid core. The analytical expressions of displacement and stress are obtained by a method based on the theory of elasticity. The analytical solution enables one to evaluate the influence of the variations of each parameter,which will be helpful in the construction of earth model.As an example,the global displacement and stress fields are computed for the Preliminary Reference Earth Model （PREM） proposed and suggested by IGS and IUGG in 1981. The distributions of displacement and stress within the earth are plotted. In addition,the Love's numbers and t'dal factors for the PREM are also calculated. The results agree quite well with observations.