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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 850604, 7 pages
Research Article

Study on Rock Mass Stability Criterion Based on Catastrophe Theory

1College of Water Conservancy and Hydropower, Hohai University, No. 1, Xikang Road, Nanjing 210098, China
2Jiangsu Electric Power Design Institute, Nanjing, China
3Qingdao Municipal Engineering Administration Department, Qingdao, China

Received 19 August 2014; Revised 30 September 2014; Accepted 1 October 2014

Academic Editor: Song Cen

Copyright © 2015 Zhang Jixun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In rock mass engineering, the criterion of rock mass stability has complex nonlinear characteristics, so the process of instability for local rock mass system cannot be quantified by the traditional ways of displacement criterion and the criterion of development of plastic zones, which are strongly empirical. Based on the research about the criterion of rock mass stability, criterion of improved strain energy catastrophe is put forward by virtue of catastrophe theory in this paper. After regularizing potential function, the stability of the system can be determined by catastrophe characteristic values. Take a certain slope for example; the results show that the criterion can quantitatively reflect the behavioral process of instability for rock mass system, which is consistent with the engineering practice and possesses a certain engineering reference value.