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隧道建设(中英文) ›› 2011, Vol. 31 ›› Issue (S1): 13-17.

• 研究与探索 • 上一篇    下一篇

异向性岩石之裂缝传播分析

陈昭旭1,杨振成1,柯明贤2   

  1. (1. 成功大学资源工程研究所,台南;2. 台北科技大学资源工程研究所,台北)
  • 收稿日期:2011-06-13 出版日期:2011-08-05 发布日期:2011-11-04
  • 作者简介:陈昭旭(1963—),男,现任成功大学资源工程研究所教授,主要专长为岩石力学、断裂力学、边界元素法、地质工程、土壤力学,E-mail:chencs@mail.ncku.edu.tw。

Analysis on Crack Propagation of Anisotropic Rocks

C S Chen1, C C Yang1, M C Ke1   

  1. (1. National Cheng Kung University Department of Resources Engineering, Tainan;2. National Taipei University of Technology Institute of Mineral Resources Engineering, Taipei)
  • Received:2011-06-13 Online:2011-08-05 Published:2011-11-04

摘要: 为分析异向性岩体之断裂力学性质,以异向性线弹性理论配合材料基本解(Green’s Function)、边界积分方程式及裂缝尖端模式为理论基础,借以Fortran语言撰写成BEM分析程序,其可成功的分析等向性及异向性材料之裂缝尖端应力强度因子等相关问题。为检验数值分析结果之可靠度,并与异向性岩石实验之结果进行比对,其分析之比较结果非常吻合,且可成功地求得混合模态载重下多裂缝尖端之应力强度因子。并藉最大张应力理论求解初始开裂角度进而模拟裂缝传播路径,发现其裂缝传播路径亦受材料异向性程度不同及裂缝的几何形式而有显著的影响。

关键词: 异向性岩石, 应力强度因子, 初始开裂角度, 传播路径, 边界元素法

Abstract: Rock masses in nature contain numerous discontinuities as cracks, joints, cleavages, beddings and even faults etc. Deformation and failure of a rock mass is largely dependent on the presence of geological discontinuities such as cracks and faults. In the cracked material, the stress intensity factors (SIFs) at crack tips, which govern the crack propagation and are associated with the strength of the materials, are strongly affected by crack inclination angle, direction of anisotropy. This paper is presented to use anisotropic elastic theory to derive the fundamental solution for anisotropic rocks. The fundamental solution is introduced into the boundary element method (BEM) to construct a numerical model with the boundary integral equation, and crack opening displacement (COD) is used to get the crack tip stress intensity factor (SIFs), and then, by using the maximum tensile stress criterion and numerical techniques to predict the crack propagation path. Furthermore, we use FORTRAN language to write a BEM computer program, and compare the numerical results with the analytical solutions which have been achieved by scholars to give the verification of the applicability of the numerical models. Then the analysis of multiple cracks propagation path in anisotropic rocks will be discussed with the numerical prediction rseults.

Key words: anisotropic rocks, stress intensity factor (SIFs), initiation angle, propagation path, boundary element method (BEM)