[1] Thom R. Stabilite Structurelle et Morphologenese[M]. Readimng MA:Beniamin, 1972.
[2] Zeeman E C. Catastrophe theory[J].Scientific American, 1976, 234(4): 65-83.
[3] Cheng Bushi. Catastrophe theory and its application[J]. Chinese Science Bulletin, 1978, (9): 513-522.[程不时. 突变论及其应用[J]. 科学通报, 1978,(9):513-522.]
[4] Saunders P T. An Introduction to Catastrophe Theory[M]. Ling Fuhua, translated. Shanghai: Shanghai Science and Technology Press, 1983.[桑德斯.突变理论入门[M]. 凌复华译. 上海: 上海科学技木出版社, 1983.]
[5] Saunders P T. An Introduction to Catastrophe Theory[M]. Cambridge: Cambridge University Press, 1980.
[6] Ling Fuhua. Catastrophe theory, history, status quo and its prospect[J]. Mechanical Progress, 1984,14(4):389-404.[凌复华. 突变理论——历史、现状和展望[J]. 力学进展, 1984, 14(4): 389-404.]
[7] Kang Zhongyuan. The cusp catastrophic model of instability of the quasi static rock movement[J]. Acta Seismologica Sinica,1984,(3):352-360.[康仲远. 岩体准静态运动失稳的CUSP型突变模型[J]. 地震学报, 1984,(3): 352-360.]
[8] Qin Siqing, Zhang Zhuoyuan, Wang Shitian, et al. Nonlinear Engineering Geology Guidance[M]. Chengdu: Southwest Jiaotong University Press, 1993.[秦四清, 张倬元, 王士天, 等. 非线性工程地质学导引[M] . 成都: 西南交通大学出版社, 1993.]
[9] Huang Runqiu, Xu Qiang. The Principle and Application of Scientific Analysis of Engineering Geology of Generalized System[M]. Beijing: Geological Publishing House, 1997.[黄润秋, 许强. 工程地质广义系统科学分析原理及应用[M]. 北京: 地质出版社, 1997.]
[10] Huang Runqiu, Xu Qiang. Catastrophe theory application in engineering geology[J]. Journal of Engineering Geology, 1993,1(1):65-73.[黄润秋, 许强. 突变理论在工程地质中的应用[J]. 工程地质学报, 1993, 1(1):65-73.]
[11] Poston T, Steawart I. Catastrophe Theory and Its Applications[M]. London: Pitman Publishing Limited, 1978: 45-68.
[12] Steawart I. Seven Elementary Catastrophes[J]. New Scientist, 1975, 20:79-84.
[13] Qin Siqing, Zhang Zhuoyuan, Wang Shitian. The catastrophe theory analysis of bedding slope instability[J]. Journal of China Geological Hazard and Control, 1993,4(1):38-45.[秦四清, 张倬元, 王士天. 顺层斜坡失稳的突变理论分析[J]. 中国地质灾害与防治学报,1993,4(1):38-45.]
[14] Li Rongqiang. The application of catastrophe theory in bedding slope stability[J]. Journal of Tongji University, 1993,21(3):379-386.[李荣强. 突变理论在顺层边坡稳定分析中的应用[J]. 同济大学学报,1993,21(3):379-386.]
[15] Xu Qiang, Huang Runqiu, Wang Shitian. The cusp mutation analysis of anti-dumping layered structure shaped rock bent pull fission[C]//Engineering Geology Study Progress. Chengdu: Southwest Jiaotong University Press, 1993.[许强, 黄润秋, 王士天. 反倾层状结构岩体弯曲拉裂变形的CUSP突变分析[C]//工程地质研究进展.成都:西南交通大学出版社, 1993.]
[16] Luo Hongming, Tang Huiming, Hu Bin, et al. Stability of the counter-inclined stratified rock slope based on catastrophic theory[J]. Geological Science and Technology Information, 2007, 26(6):101-104.[罗红明,唐辉明,胡斌, 等. 基于突变理论的反倾层状岩石边坡稳定性研究[J]. 地质科技情报, 2007, 26(6):101-104.]
[17] Zhou Lijie, Fang Yun. Study on cusp-catastrophic model of anti-dip rock slope under rainfall action[J]. Journal of Water Resources and Architectural Engineering, 2008,6(4):130-131.[周利杰, 方云. 降雨作用下反倾岩质边坡尖点突变模型研究[J]. 水利与建筑工程学报,2008,6(4):130-131.]
[18] Qin Siqing. Nonlinear catastrophe model and chaotic mechanism of slope instability[J]. Chinese Journal of Rock Mechanics and Engineering, 2000,19(4):486-492.[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.]
[19] 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.[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.]
[20] Xu Jiancong, Shang Yuequan, Zheng Shuning, et al. Cusp-catastrophic model of shallow landslide under intensive rainfall[J]. Journal of Zhejiang University(Engineering Science),2005, 39(11):1 675-1 679.[许建聪, 尚岳全, 郑束宁, 等. 强降雨作用下浅层滑坡尖点突变模型研究[J]. 浙江大学学报:工学版, 2005, 39(11):1 675-1 679.]
[21] Guo Huawei, Zhu Baolong, Suo Yuwen. Cusp catastrophe analysis of rock slope failure under strong rainfall[J]. Journal of Southwest University of Science and Technology, 2014,29(4):43-46.[郭华伟, 朱宝龙, 索玉文. 强降雨作用下岩质边坡失稳的尖点突变分析[J].西南科技大学学报,2014,29(4):43-46.]
[22] 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.[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.]
[23] 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.[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.]
[24] Wang Sichang, She Xuesen, Li Yi, et al. Stability analysis of rock slope based on cusp catastrophe theory[J]. Journal of Traffic and Transportation Engineering, 2010,10(3):23-27.[王思长, 折学森, 李毅, 等. 基于尖点突变理论的岩质边坡稳定性分析[J]. 交通运输工程学报,2010,10(3):23-27.]
[25] Liu Wenfang, Sui Yanchun, Zhou Jufang, et al. Analysis of catastrophe model on rock slope with weak intercalated layers[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(S1): 2 663-2 669.[刘文方,隋严春,周菊芳,等. 含软弱夹层岩体边坡的突变模式分析[J].岩石力学与工程学报,2006,25(S1): 2 663-2 669.]
[26] Wang Zhenwei, Hao Zhe, Wang Laigui, et al. Comprehensive evaluation method based on slope limit equilibrium and catastrophe theory[J]. Mine Safety, 2009,(8):103-105.[王振伟, 郝哲, 王来贵, 等. 基于极限平衡与突变理论的边坡综合评价方法[J]. 煤矿安全,2009,(8):103-105.]
[27] Jiang Pei. Application of Catastrophe Theory in the Study of Rock Slope Stability[D]. Shanghai: Shanghai University, 2008.
.上海:上海大学, 2008.]
[28] Sun Qiang, Ma Ping, Ye Xiaoping, et al. Coattail catastrophe model of sliding instability[J]. Chinese Journal of Geotechnical Engineering, 2008,30(7):1 024-1 028.
[29] Xia Kaizong, Liu Xiumin, Chen Congxin, et al. Analysis of mechanism of bedding rock slope instability with catastrophe theory[J]. Rock and Soil Mechanics, 2015,36(2):477-486.
[30] Qiang Pei, Xu Jinming. Forecasting landslide using elliptic umbilic catastrophe model[C]//New Frontiers in Chinese and Japanese Geotechniques, 3 rd Sino-Japan Geotechnical Symposium, Chongqing, China. Beijing: China Communication Press,2007:460-465.
[31]Miao Tiande, Ai Nanshan. Catastrophe model of landslide growth[J]. Journal of Lanzhou University(Natural Science Edition),1988, 24(4): 45-50.[苗天德, 艾南山. 滑坡发育的突变模型[J]. 兰州大学学报:自然科学版, 1988, 24(4):45-50.]
[32] Gao Peng, Ai Nanshan. Catastrophe model for the damage of soil landslide[J]. Journal of Engineering Geology, 1994, 2(4):67-76.[高鹏, 艾南山. 土质滑坡体破坏的突变模型[J]. 工程地质学报, 1994, 2(4):67-76.]
[33] Fang Yingguang. Mutation analysis of soil slope instability[J]. Mechanics in Engineering, 2004, 26(4):24-27.[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.]
[34] Cao Ping, Zhu Baolong, Chen Qiang. Nonlinear evolution analysis of soil slope based on catastrophe theory[J].Sichuan Building Science, 2009, 35(6):110-113.[曹平, 朱宝龙, 陈强. 基于突变理论的土质边坡非线性演化分析[J]. 四川建筑科学研究, 2009, 35(6):110-113.]
[35] Hu Jinchuan. Based on the Catastrophe Theory Study on Stability Analysis Method of Cut Slope in Loess[D]. Xi’an: Chang’an University, 2012.[胡晋川. 基于突变理论的黄土边坡稳定性分析方法研究[D]. 西安:长安大学, 2012.]
[36] Du Xingfu. Mutations in mathematics and its application in the economy[J]. Social Science Research, 1988,(6):119-121.[都兴富. 突变数学及其在经济中的应用[J]. 社会科学研究, 1988, (6):119-121.]
[37] Cheng Maolin, Ji Aiping. The comprehensive evaluation of technological progress status by catastrophe progression method[J]. Jiangsu Statistics, 1997,(10):19-20.[程毛林, 吉爱平. 应用突变级数法综合评价科技进步状况[J]. 江苏统计, 1997,(10):19-20.]
[38] Li Siping, Sun Lianying. Slope stability evaluation model based on nonlinear theory[J]. Hydrogeology and Engineering Geology, 2002, 2:11-14.[李思平, 孙连英. 基于非线性理论的边坡稳定性评价模型[J]. 水文地质工程地质, 2002, 2:11-14.]
[39] Xiao Shengxie, Liu Wenfang, Li Hongmei. The method of fuzzy comprehensive analyzing and evaluating slope stability on catastrophe theory[J]. Journal of Chongqing Jiaotong University, 2006,25(5):80-84.[肖盛燮, 刘文方, 李红梅. 基于突变理论的斜坡稳定性模糊综合分析评判[J]. 重庆交通学院学报,2006,25(5):80-84.]
[40] Song Shengyuan, Wang Qing, Pan Yuzhen, et al. Evaluation of landslide susceptibility degree based on catastrophe theory[J]. Rock and Soil Mechanics, 2014,35(2):422-428.[宋盛渊, 王清,潘玉珍, 等. 基于突变理论的滑坡危险性评价[J]. 岩土力学,2014,35(2):422-428.]
[41] Zhu Hongwei, Yao Lingkan, Luo Yuan. Seismic stability evaluation of embankment slope based on catastrophe theory[J]. Journal of Modern Transportation, 2013, 21(2):111-116.
[42] Liang Guilan, Xu Weiya, He Yuzhi. Application of catastrophe progression method to comprehensive evaluation of slope stability[J]. Rock and Soil Mechanics, 2008, 29(7): 1 895-1 899.
[43] Yan Kezhen, Liao Huarong. Assessment of scouring stability on subgrade slope based on catastrophe theory[J]. Journal of Chang’an University (Natural Science Edition), 2011, 31(2): 29-32.[颜可珍, 廖华容. 基于突变理论的路基边坡冲刷稳定性评价[J]. 长安大学学报:自然科学版, 2011, 31(2): 29-32.]
[44] Zhao Zhifeng, Xu Weiya. Based on catastrophe theory comprehensive evaluation of slope stability safety[J]. Chinese Journal of Rock Mechanics and Engineering, 2007, 26(S1):2 707-2 712.
[45] Bin Z, Weide W, Wensheng L, et al. Plans choices of ecological engineering of mountain highway slope based on catastrophe progression method[C]//World Automation Congress (WAC). Mexico: IEEE, 2012: 1-4.
[46] Duan Peng. The application research of catastrophe theory in comprehensive evaluation of slope stability[C]//Proceedings of Annual Academic Experience Exchange Meeting on Urban Survey and Engineering Measurement. Guangzhou, 2010.[段鹏. 突变理论在边坡稳定性综合评价中的应用研究[C]//广东省2010年度城市测量与测量工程学术经验交流会论文集.广州,2010.]
[47] Wang Huabin, Li Jiangfeng, Wu Shuren. Progress in nonlinear study on landslide hazard system[J]. Advances in Earth Science, 2000, 15(3):271-276.[汪华斌,李江风,吴树仁. 滑坡灾害系统非线性研究进展[J]. 地球科学进展, 2000, 15(3):271-276.]
[48] Li Shouding, Li Xiao,Liu Yanhui. Study on generation and evolution of mao ping landslide on Qingjiang River[J]. Chinese Journal of Rock Mechanics and Engineering, 2006, 25(2): 377-384.[李守定,李晓,刘艳辉.清江茅坪滑坡形成演化研究[J]. 岩石力学与工程学报,2006,25(2):377-384.]
[49] Xu Ling, Dai Fuchu, Min Hong. Research progress and some thoughts on loess landslides[J].Advances in Earth Science, 2008, 23(3): 236-242.[许领, 戴福初, 闵弘. 黄土滑坡研究现状与设想[J]. 地球科学进展, 2008, 23(3): 236-242.]
[50] Zhou Chuangbing, Li Dianqing. Advances in rainfall-induced landslides mechanism and risk mitigation[J]. Advances in Earth Science, 2009, 24(5): 477-487.[周创兵, 李典庆. 暴雨诱发滑坡致灾机理与减灾方法研究进展[J]. 地球科学进展, 2009, 24(5): 477-487.]
[51] Li Xiao, Liang Shouyun, Zheng Guodong. Progress in sliding zone soil of landslides[J]. Advances in Earth Science, 2010, 25(5): 484-491.[李晓, 梁收运, 郑国东.滑带土的研究进展[J]. 地球科学进展, 2010, 25(5): 484-491.]
[52] Zhang Duo, Wu Zhonghai, Li Jiacun, et al. An overview on earthquake-induced landslide research[J].Journal of Geomechanics,2013,19(3):225-241.[张铎, 吴中海, 李家存, 等. 国内外地震滑坡研究综述[J].地质力学学报,2013, 19(3): 225-241.]
[53] Tang Yaming, Feng Yaowei, Li Zhengguo. A review of the study of loess slump[J]. Advances in Earth Science, 2015, 30(1): 26-36.[唐亚明, 冯摇卫, 李政国. 黄土滑塌研究进展[J]. 地球科学进展, 2015, 30(1): 26-36.]
[54] Xu Qiang, Huang Runqiu, Li Xiuzhen. Progress prediction of landslide time prediction[J]. Advances in Earth Science, 2004, 19(3):478-483.[许强, 黄润秋, 李秀珍. 滑坡时间预测预报研究进展[J]. 地球科学进展, 2004, 19(3): 478-483.]
[55] Yi Shunmin. Status and prospect of temporal prediction of landslide activity[J]. Chinese Journal of Engineering Geophysics, 2007, 4(2): 157-163.[易顺民. 滑坡活动时间预测预报研究现状与展望[J]. 工程地球物理学报, 2007, 4(2): 157-163.]
[56] Wang Nianqin, Wang Yongfeng, Luo Donghai, et al. Review of landslide prediction and forecast research in China[J]. Geological Review, 2008, 54(3): 145-151.[王念秦, 王永锋, 罗东海, 等. 中国滑坡预测预报研究综述[J]. 地质评论, 2008, 54(3): 145-151.]
[57] Wang Huabin, Li Jiangfeng, Wu Shuren. Progress in nonlinear study on landslide hazard system[J].Advances in Earth Science, 2000,15(3):271-276.[汪华斌, 李江风, 吴树人. 滑坡灾害系统非线性研究进展[J]. 地球科学进展,2000,15(3):271-276.]
[58] Liu Dingwen, Wang Jingyao, Wang Yongjuan. Catastrophe theory in slope stability study[C]//Selected Papers Landslide. Chendu: Sichuan Science and Technology Press, 1989.[刘鼎文, 王静瑶, 王用娟. 突变理论在边坡稳定性研究中的应用[C]//滑坡论文选集.成都:四川科学技术出版社, 1989.]
[59] Qin Siqing, Zhang Zhuoyuan, Wang Shitian. Study on nonliner dynamics in landslide prediction[J]. Hydrogeology and Engineering Geology, 1993, (5): 1-4.[秦四清, 张倬元, 王士天. 滑坡时间预测的非线性动力学方法[J]. 水文地质工程地质, 1993,(5): 1-4.]
[60] Qin Siqing, Zhang Zhuoyuan, Wang Shitian. et al. Methods of landslide time prediction of catastrophe theory and the gray catastrophe theory[J]. Exploration of Nature, 1993, 46(4):62-68.[秦四清, 张倬元, 王士天, 等. 滑坡时间预报的突变理论及灰色突变理论方法[J]. 大自然探索,1993, 46(4):62-68.]
[61] Bai Mingzhou, Wang Dong, Cheng Guoping. et al. Study on catastrophe model of monitoring and early-warning about the anchor stress in loess engineering slope[J]. China Civil Engineering Journal, 2011,44(S):166-170.
[62] Wang Shuren, Zhang Yanbo. New method for landslide forecast and its application based on longitudinal data and catastrophic theory[J]. Journal of China Coal Society, 2009,34(5):640-644.[王树仁, 张艳博. 基于纵向数据与突变理论的边坡滑坡预测新方法及其应用[J]. 煤炭学报,2009,34(5):640-644.]
[63]Li Changdong, Tang Huiming, Hu Xinli, et al. Landslide prediction based on wavelet analysis and cusp catastrophe[J]. Journal of Earth Science,2009,20(6):971-977.
[64] Zhou Xiaoping, Qian Qihu, Zhang Yongxing, et al. Time prediction model of landslides based on catastrophe theory[J]. Engineering Mechanics, 2011,28(2):165-174.[周小平, 钱七虎, 张永兴, 等. 基于突变理论的滑坡时间预测模型[J]. 工程力学,2011,28(2):165-174.]
[65] Xu Xiuwei. Research on the gray-cusp-catastrophic destabilization prediction of highway slope[J]. Highway Engineering, 2013,38(4):174-177.[徐秀维. 公路边坡稳定性预报的灰色突变研究[J].公路工程, 2013,38(4):174-177.]
[66] Tian Qingyan,Fu Helin. Failure time prediction of slope collapse of block rock mass based on gray and catastrophic theory[J]. Journal of South China University of Technology (Natural Science Edition),2009, 37(12):122-126.[田卿燕, 傅鹤林. 基于灰色突变理论块裂岩质边坡崩塌时间预测[J]. 华南理工大学学报:自然科学版, 2009, 37(12):122-126.]
[67] Cheng Xuejun, Cai Meifeng. A gray-catastrophe model and its application in acoustic emission monitoring[J]. China Mining Magazine, 1997,6(2):37-39.[程学军, 蔡美峰. 灰色—突变模型及其在声发射监测预报中的应用[J]. 中国矿业, 1997,6(2):37-39.]
[68] Sun Shulin, Hou Yubin. A catastrophe model on horizontal release fractures[J]. Journal of Hohai University, 1997,25(6):4-7.[孙树林,侯玉宾. 边坡水平卸荷裂隙的突变理论模型[J]. 河海大学学报,1997,25(6):4-7.]
[69] Zhou Yongjun, Sha Yingchun. Slope stability analysis based on catastrophe theory[J]. China Water Transport, 2010,10(10):199-201.[周勇俊,沙迎春. 基于突变理论的边坡稳定性分析[J]. 中国水运,2010,10(10):199-201.]
[70] Lou Yiqing, Gu Chongshi, Li Jun. Study on the slope failure criterion in strength reduction finite element method based on catastrophe theory[J]. Journal of Xi’an University of Architecture & Technology, 2008, 40(3): 361-367.[娄一青, 顾冲时, 李君. 基于突变理论的有限元强度折减法边坡失稳判据探讨[J]. 西安建筑科技大学学报,2008, 40(3): 361-367.]
[71] Li Kai, Chen Guorong. Cusp catastrophe model for slope critical failure[J]. Journal of Guilin University of Technology, 2009,29(1):102-105.[李凯,陈国荣. 以尖点突变模型为边坡临界失稳的判据研究[J]. 桂林工学院学报, 2009, 29(1): 102-105.]
[72] He Junzheng, He Keqiang, Yan Yongshan, et al. Study on the slope stability based on catastrophe theory[J]. Advances in Building Materials, 2011,261/263:1 489-1 493.
[73] Scheidegger A E. On the prediction of the research and velocity of catastrophic landslides[J]. Rock Mechanics, 1974, 1(5): 231-236.
[74] Qin S, Jiao J, Wang S. A cusp catastrophe model of instability of slip-buckling slope[J]. Rock Mechanics and Rock Engineering, 2001, 34(2): 119-134.
[75] Tao Y, Cao J, Hu Jinming, et al. A cusp catastrophe model of mid-long-term landslide evolution over low latitude highlands of China[J]. Geomorphology, 2013, 187: 80-85.
[76] Qin S, Jimmy J J, Wang S, et al. A nonlinear catastrophe model of instability of planar-slip slope chaotic dynamical mechanisms of its evolutionary process[J]. International Journal of Solids and Structures, 2001, 38(44): 8 093-8 109.
[77] Zeng Liang. Research on Analysis of Slope Stability for Mutations Theory Method Research[D]. Chongqing: Chongqing Jiaotong University, 2014.[曾亮. 边坡稳定性分析的突变理论法研究[D]. 重庆:重庆交通大学,2014.] |