摘要
本文根据弹性体与粘弹性体中瞬时应力分布的对应关系,通过旋扭构造力学分析的弹性解,然后以三元件Ross粘弹性模型模拟岩石力学性质,求出粘弹性体中的瞬时应力、应变的解析解,再代入岩石的粘弹性常数,算出精确数字解答,最后作出应力应变的时间演化图。
In this paper, the theory of visco-elastic mechanics is introduced to study the origin and evolution of vortex structure and the effects of time on the development of structural forms.Surpose a ring be stressed on its inside wall and fixed on its outside wall. According to the principle of equivalence between instantaneous stresses in visco-elastic medium and stresses in corresponding elastic one, a stress function and its solutions for the variates of stress, strain and displacement, which are all functions of time, can be obtained. As a visco-elastical problem. The variate of time then was changed into a parameter by Laplace Transform. After obtaining the solutions of the equations, the variate of time was restored by inverse Laplace Transform. The relations of stress strain and displacement to time and space have been brought to light.In the analysis, three-element visco-elastic model (Ross Model) was adopted to simulate the mechanical properties of rocks in the crust, the equations were programmed and calculated by computer and reasonable numerical solutions have been found.
出处
《地质科学》
CAS
CSCD
北大核心
1989年第1期95-105,共11页
Chinese Journal of Geology(Scientia Geologica Sinica)
关键词
旋扭构造
粘弹性
力学分析
visco-elasticity, vortex structure, Laplace Transform
