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受断层影响后地壳与地幔的不稳定性分析

发表时间:2018-12-29  浏览量:85  下载量:11
全部作者: 丁韫,李明绘,杨晓春
作者单位: 大连海事大学理学院
摘 要: 依据断裂力学原理,将地壳与地幔接合处存在断层时受外力作用所产生的变形,转化为断裂力学中的弹性长条与弹性半平面拼接并且拼接线处存在一斜边界裂纹的模型。然后,根据断裂力学的知识,提出该模型的应力和位移边值条件,并运用分拆函数法将此复杂问题分拆成两个简单问题进行求解。最后利用Matlab对得到的解进行模拟,绘出裂纹尖端的应力函数随材料、裂纹与拼接线所成角度、受力、弹性长条厚度等因素变化的趋势图。
关 键 词: 地质学;断裂力学;裂纹;断层
Title: Instability analysis on the earth’s crust and mantle affected by fault
Author: DING Yun, LI Minghui, YANG Xiaochun
Organization: Collage of Science, Dalian Maritime University
Abstract: Based on the fracture mechanics theory, the model that fault exists in the joint of the earth’s crust and mantle affected by external force is transformed into the model that the sidelong crack lies in the match line contained in the elastic strip and elastic half plane in fracture mechanics. Then, the stress and displacement boundary condition of the model are offered by using the knowledge of fracture mechanics, and this complex problem is divided into two simple problems to solve by using the partition function method. At last, the solution is simulated by using Matlab in the computer, and the chart is drawn including the trend of stress function change under the difference of the materials, force, angle between the crack and the splicing line, and the thickness of elastic strip.
Key words: geology; fracture mechanics; crack; fault
发表期数: 2018年12月第24期
引用格式: 丁韫,李明绘,杨晓春. 受断层影响后地壳与地幔的不稳定性分析[J]. 中国科技论文在线精品论文,2018,11(24):2497-2506.
 
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