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引潮力的全球位移场及应力场
引用本文:丁中一,王仁.引潮力的全球位移场及应力场[J].地球物理学报,1986,29(6):578-596.
作者姓名:丁中一  王仁
作者单位:北京大学地质系
摘    要: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。

关 键 词:引潮力位  位移场  应力场  地球模型  特解  PREM模型  勒夫数  应力分量  位移分量  位移解  
收稿时间:1984-10-29

GLOBAL DISPLACEMENT AND STRESS FIELDS DUE TO TIDAL ATTRACTION
DING ZHONG-YI,WANG REN.GLOBAL DISPLACEMENT AND STRESS FIELDS DUE TO TIDAL ATTRACTION[J].Chinese Journal of Geophysics,1986,29(6):578-596.
Authors:DING ZHONG-YI  WANG REN
Institution:Department of Geology, Peking University, Beijing
Abstract: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.
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