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| DISCUSSION OF RESEARCH ON CUSP CATASTROPHE MODEL OF SLOPE FAILURE WITH POTENTIAL SLIDING ZONE COMPOSED OF TWO MEDIA |
| (College of Civil Engineering，Qingdao Technological University，Qingdao，Shandong 266520，China) |
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Abstract The logic and result that slope failure problem has been summed up as cusp catastrophe model research have been analyzed；and the potential sliding zone is supposed to be composed of two media only with characteristic of elasticity and with characteristics of elasticity，hardening and softening. Furthermore，it is pointed out that when slope is rigid body and potential sliding zone is composed of foregoing two media，there are not plenty of elastic energy instantaneous release and abrupt sliding mechanism in the slope failure model，which can not correspond to the action that on cusp catastrophe equilibrium curved surface there are plenty of energy release concomitant with state variable jumping from one sheet to another. The potential function of this slope failure model can not be applied to discussion of the problems about slope failure and slide，because there is only elastic parameter without residual strength parameter of section ① in it. On cusp catastrophe equilibrium curved surface，there are many basic characteristics of cusp catastrophe，such as state variable can jump upward and downward，the parameter of jumping upward lags behind that of jumping downward and system state of upper-lower sheets realize cyclically. The slope failure is irreversible，not only it can not jump backward，i.e. slope recovers original state abruptly again after its failure，but also it has no lag characteristic. Hence，cusp catastrophe can not be used as the mathematical model of slope failure prototype.
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| [1] 秦四清. 斜坡失稳的突变模型与混沌机制[J]. 岩石力学与工程学报，2000，19(4)：486–492.(Qin Siqing. Nonlinear catastrophe model of slope instability and chaotic dynamics mechanism of slope evolution process[J]. Chinese Journal of Rock Mechanics and Engineering，2000，19(4)：486–492.(in Chinese))
[2] 龙 辉，秦四清，万志清. 降雨触发滑坡的尖点突变模型[J]. 岩石力学与工程学报，2002，21(4)：502–508.(LONG Hui，QIN Siqing，WAN Zhiqing. Catastrophe analysis of rainfall-induced landslides[J]. Chinese Journal of Rock Mechanics and Engineering，2002，21(4)：502–508.(in Chinese))
[3] 秦四清. 斜坡失稳过程的非线性演化机制与物理预报[J]. 岩土工程学报，2005，27(12)：1 241–1 247.(QIN Siqing. Nonlinear evolutionary mechanisms and physical prediction of instability of planar slope[J]. Chinese Journal of Geotechnical Engineering，2005，27(12)：1 241–1 247.(in Chinese))
[4] 刘 军，秦四清，张倬元. 缓倾角层状岩体失稳的尖点突变模型研究[J]. 岩土工程学报，2001，23(1)：42–44.(LIU Jun，QIN Siqing，ZHANG Zhuoyuan. Study on catastrophic model with cusp point for failure of stratified rock mass with a gentle inclination[J]. Chinese Journal of Geotechnical Engineering，2001，23(1)：42–44.(in Chinese))
[5] 熊传祥，龚晓南，王成华. 高速滑坡临滑变形能突变模型研究[J].浙江大学学报(工学版)，2000，34(4)：443–492.(XIONG Chuanxiang，GONG Xiaonan，WANG Chenghua. A deformation energy catastrophe model of high speed landslide before sliding[J]. Journal of Zhejiang University(Engineering Science)，2000，34(4)：443–492.(in Chinese))
[6] 肖盛燮，周小平，杨海青，等. 二维高速滑坡力学模型[J]. 岩石力学与工程学报，2006，25(3)：456–461.(XIAO Shengxie，ZHOU Xiaoping，YANG Haiqing，et al. Two-dimensional mechanical model of high-speed landslides[J]. Chinese Journal of Rock Mechanics and Engineering，2006，25(3)：456–461.(in Chinese))
[7] 姜永东，鲜学福，易 俊. 边坡失稳的尖点突变模型研究[J]. 重庆建筑大学学报，2008，30(1)：40–43.(JIANG Yongdong，XIAN Xuefu，YI Jun. Study on cusp catastrophe mutation of slope instability[J]. Journal of Chongqing Jianzhu University，2008，30(1)：40–43.(in Chinese))
[8] 姜永东，鲜学福，杨 钢，等. 层状岩质边坡失稳的尖点突变模型[J]. 重庆大学学报，2008，31(6)：677–682.(JIANG Yongdong，XIAN Xuefu，YANG Gang，et al. A cusp catastrophe model study of destabilization of soft sandwich-rock slope[J]. Journal of Chongqing University，2008，31(6)：677–682.(in Chinese))
[9] 王心飞，王文广，刘新荣. 隧道围岩失稳的突变理论分析[J]. 地下空间与工程学报，2008，4(6)：425–430.(WANG Xinfei，WANG Wenguang，LIU Xinrong. Mutation theoretical analysis of tunnel surrounding rock instability[J]. Chinese Journal of Underground Space and Engineering，2008，4(6)：425–430.(in Chinese))
[10] 王文广，王心飞. 隧道围岩失稳的突变理论分析[J]. 公路隧道，2008，(3)：1–5. (WANG Wenguang，WANG Xinfei. Mutation theoretical analysis of tunnel surrounding rock instability[J]. Highway and Tunnel，2008，(3)：1–5.(in Chinese))
[11] 祝云华，刘新荣，黄明号，等. 深埋隧道开挖围岩失稳突变模型研究[J]. 岩土力学，2009，30(3)：805–809.(ZHU Yunhua，LIU Xinrong，HUANG Minghao，et al. Surrounding rock instability based on catastrophe model of deep-buried tunnel excavation[J]. Rock and Soil Mechanics，2009，30(3)：805–809.(in Chinese))
[12] 孙 强，胡秀宏，王嫒嫒，等. 两种应变软化介质组成的边波失稳研究[J]. 岩土力学，2009，30(4)：976–980.(SUN Qiang，HU Xiuhong，WANG Yuanyuan，et al. Research on instability of slope composed of two strain-softening media[J]. Rock and Soil Mechanics，2009，30(4)：976–980.(in Chinese))
[13] 房营光. 土质边坡失稳的突变性分析[J]. 力学与实践，2004，26(4)：24–27.(FANG Yingguang. Catastrophe analysis of soil slope instability[J]. Mechanics and Practice，2004，26(4)：24–27.(in Chinese))
[14] 曹 洪，房营光. 深圳水库高边坡的稳定性分析[J]. 岩石力学与工程学报，2004，23(6)：906–910.(CAO Hong，FANG Yingguang. Analysis of slope stability of Shenzhen reservoirs[J]. Chinese Journal of Rock Mechanics and Engineering，2004，23(6)：906–910.(in Chinese))
[15] 吴 艺，房营光. 条形基础下地基稳定的突变性[J]. 华南理工大学学报(自然科学版)，2005，33(11)：85–90.(WU Yi，FANG Yingguang. Catastrophe of base stability under strip foundation[J]. Journal of South China University of Technology(Natural Science)，2005，33(11)：85–90.(in Chinese))
[16] 凌复华. 突变理论及其应用[M]. 上海：上海交通大学出版社，1987. (LING Fuhua. Catastrophes theory and its applications[J]. Shanghai：Shanghai Jiaotong University Press，1987.(in Chinese))
[17] 潘 岳，王志强，张 勇. 突变理论在岩体系统动力失稳中的应用[M]. 北京：科学出版社，2008：7–10，166–169.(PAN Yue，WANG Zhiqiang，ZHANG Yong. Application of catastrophe theory to dynamic failure of rock[M]. Beijing：Science Press，2008：7–10，166–169.(in Chinese)) |
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2010, Vol. 29 
