对“斜坡演化的燕尾突变模型研究”讨论的答复
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摘要
<正>笔者发表于《岩土工程学报》2008年第7期的"斜坡演化的燕尾突变模型研究"一文涉及的某些问题引起潘老师等的深入讨论,笔者在进一步查阅了相关文献[1-16]的基础上就相关问题进行说明,以试图回答潘老师"讨论文"提出的若干问题。
引文
[1]谢应齐,曹杰.非线性动力学数学方法[M].北京:气象出版社,2001.(XIE Ying-qi,CAO Jie.Non-linear dynamics mathematics method[M].Beijing:Meteorological Press,2001.(in Chinese))
[2]楼森岳,唐晓艳.非线性数学物理方法[M].北京:科学出版社,2006.(LOU Sen-yue,TANG Xiao-yan.Non-linear mathematical physics method[M].Beijing:Science Press,2001.(in Chinese))
[3]陈同兴.非线性物理概论[M].合肥:中国科学技术大学出版社,2002.(CHEN Tong-xing.Introduction of non-linear physics[M].Hefei:University of Science and Technology of China Press,2001.(in Chinese))
[4]刘秉正,彭建华.非线性动力学[M].北京:高等教育出版社,2005.(LIU Bing-zheng,PENG Jian-hua.Non-linear dynamics[M].Beijing:Higher Education Press,2004.(in Chinese))
[5]SAUNDER PT.灾变理论入门[M].凌复华,译.上海:上海科学技术文献出版社,1987.(SAUNDER PT.An introduction to catastrophe theory[M].LING Fu-hua,trans.Shanghai:Shanghai Scientific and Technological Literature Publishing House,1983.(in Chinese))
[6]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.(PAN Yue,WANG Zhi-qiang,ZHANG Yong.Application of catastrophe theory for dynamic failure of rock[M].Beijing:Science Press,2008.(in Chinese))
[7]张明,李仲奎.准脆性材料破裂过程失稳的尖点突变模型[J].岩石力学与工程学报,2006,25(6):1233–1239.(ZHANG Ming,LI Zhong-kui.A cusp catastrophe model of unstable failure process of quasi-brittle materials[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(6):1233–1239.(in Chinese))
[8]潘岳,吴敏应,王志强.对‘准脆性材料破裂过程失稳的尖点突变模型’的探讨[J].岩石力学与工程学报,2008,27(3):643–645.(PAN Yue,WU Min-ying,WANG Zhi-qiang.Discussion on“A cusp catastrophe model of unstable failure process of quasi-brittle materials”[J].Chinese Journal of Rock Mechanics and Engineering,2008,27(3):643–645.(in Chinese))
[9]张明,李仲奎.关于“对‘准脆性材料破裂过程失稳的尖点突变模型’的探讨”的回复[J].岩石力学与工程学报,2008,27(3):646–648.(ZHANG Ming,LI Zhong-kui.Reply to discussion on“A cusp catastrophe model of unstable failure process of quasi-brittle materials”[J].Chinese Journal of Rock Mechanics and Engineering,2008,27(3):646–648.(in Chinese))
[10]潘岳,纪彩虹,李爱武.岩体系统动力失稳的总势能函数诠释[J].岩土工程学报,2007,29(6):831–836.(PAN Yue,JI Cai-hong,LI Ai-wu.Annotation of total potential energy function for dynamic failure of rock[J].Chinese Journal of Geotechnical Engineering,2007,29(6):831–836.(in Chinese))
[11]潘岳,吴敏应,王志强.岩体动力失稳终止点、能量释放量解析解与图解[J].岩体力学,2006,27(11):1915–1921.(PAN Yue,WU Min-ying,WANG Zhi-qiang.Analytic solution and illustration on destabilization end and energy releasing amount of rock dynamic destabilization[J].Rock and Soil Mechanics,2006,27(11):1915–1921.(in Chinese))
[12]徐曾和,徐小荷.考虑围岩流变特性的地震尖点型突变模型[J].岩土力学,2000,21(1):24–27.(XU Zeng-he,XU Xiao-he.Instability of fault earthquake in rheological media and cusp catastrophe[J].Rock and Soil Mechanics,2000,21(1):24–27.(in Chinese))
[13]殷有泉,杜静.地震过程的燕尾突变模型[J].地震学报,1994,16(4):416–422.(YIN You-quan,DU Jing.Coattail catastrophe of earthquake process[J].Acta Seismologica Sinica,1994,16(4):416–422.(in Chinese))
[14]施泽进,罗蛰潭,彭大军,等,突变理论在断层活动机理分析中的应用[J].西安地质学院学报,1996,18(1):50–55.(SHI Ze-jin,LUO Zhe-tan,PENG Da-jun,et al.Application of catastrophe theory to the analyses of mechanism of faulting movement[J].Journal of Xi’an College of Geology,1996,18(1):50–55.(in Chinese))
[15]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 Si-qing.Nonlinear catastrophy 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))
[16]陈忠辉,徐小荷,唐春安.单轴压缩下岩石失稳破裂的突跳[J].东北大学学报,1994,15(5):476–480.(CHEN Zhong-hui,XU Xiao-he,TANG Chun-an.Catastrophe of rock’s unstable failure under uniaxial compression loading[J].Journal of Northeastern University,1994,15(5):476–480.(in Chinese))
[2]楼森岳,唐晓艳.非线性数学物理方法[M].北京:科学出版社,2006.(LOU Sen-yue,TANG Xiao-yan.Non-linear mathematical physics method[M].Beijing:Science Press,2001.(in Chinese))
[3]陈同兴.非线性物理概论[M].合肥:中国科学技术大学出版社,2002.(CHEN Tong-xing.Introduction of non-linear physics[M].Hefei:University of Science and Technology of China Press,2001.(in Chinese))
[4]刘秉正,彭建华.非线性动力学[M].北京:高等教育出版社,2005.(LIU Bing-zheng,PENG Jian-hua.Non-linear dynamics[M].Beijing:Higher Education Press,2004.(in Chinese))
[5]SAUNDER PT.灾变理论入门[M].凌复华,译.上海:上海科学技术文献出版社,1987.(SAUNDER PT.An introduction to catastrophe theory[M].LING Fu-hua,trans.Shanghai:Shanghai Scientific and Technological Literature Publishing House,1983.(in Chinese))
[6]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.(PAN Yue,WANG Zhi-qiang,ZHANG Yong.Application of catastrophe theory for dynamic failure of rock[M].Beijing:Science Press,2008.(in Chinese))
[7]张明,李仲奎.准脆性材料破裂过程失稳的尖点突变模型[J].岩石力学与工程学报,2006,25(6):1233–1239.(ZHANG Ming,LI Zhong-kui.A cusp catastrophe model of unstable failure process of quasi-brittle materials[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(6):1233–1239.(in Chinese))
[8]潘岳,吴敏应,王志强.对‘准脆性材料破裂过程失稳的尖点突变模型’的探讨[J].岩石力学与工程学报,2008,27(3):643–645.(PAN Yue,WU Min-ying,WANG Zhi-qiang.Discussion on“A cusp catastrophe model of unstable failure process of quasi-brittle materials”[J].Chinese Journal of Rock Mechanics and Engineering,2008,27(3):643–645.(in Chinese))
[9]张明,李仲奎.关于“对‘准脆性材料破裂过程失稳的尖点突变模型’的探讨”的回复[J].岩石力学与工程学报,2008,27(3):646–648.(ZHANG Ming,LI Zhong-kui.Reply to discussion on“A cusp catastrophe model of unstable failure process of quasi-brittle materials”[J].Chinese Journal of Rock Mechanics and Engineering,2008,27(3):646–648.(in Chinese))
[10]潘岳,纪彩虹,李爱武.岩体系统动力失稳的总势能函数诠释[J].岩土工程学报,2007,29(6):831–836.(PAN Yue,JI Cai-hong,LI Ai-wu.Annotation of total potential energy function for dynamic failure of rock[J].Chinese Journal of Geotechnical Engineering,2007,29(6):831–836.(in Chinese))
[11]潘岳,吴敏应,王志强.岩体动力失稳终止点、能量释放量解析解与图解[J].岩体力学,2006,27(11):1915–1921.(PAN Yue,WU Min-ying,WANG Zhi-qiang.Analytic solution and illustration on destabilization end and energy releasing amount of rock dynamic destabilization[J].Rock and Soil Mechanics,2006,27(11):1915–1921.(in Chinese))
[12]徐曾和,徐小荷.考虑围岩流变特性的地震尖点型突变模型[J].岩土力学,2000,21(1):24–27.(XU Zeng-he,XU Xiao-he.Instability of fault earthquake in rheological media and cusp catastrophe[J].Rock and Soil Mechanics,2000,21(1):24–27.(in Chinese))
[13]殷有泉,杜静.地震过程的燕尾突变模型[J].地震学报,1994,16(4):416–422.(YIN You-quan,DU Jing.Coattail catastrophe of earthquake process[J].Acta Seismologica Sinica,1994,16(4):416–422.(in Chinese))
[14]施泽进,罗蛰潭,彭大军,等,突变理论在断层活动机理分析中的应用[J].西安地质学院学报,1996,18(1):50–55.(SHI Ze-jin,LUO Zhe-tan,PENG Da-jun,et al.Application of catastrophe theory to the analyses of mechanism of faulting movement[J].Journal of Xi’an College of Geology,1996,18(1):50–55.(in Chinese))
[15]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 Si-qing.Nonlinear catastrophy 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))
[16]陈忠辉,徐小荷,唐春安.单轴压缩下岩石失稳破裂的突跳[J].东北大学学报,1994,15(5):476–480.(CHEN Zhong-hui,XU Xiao-he,TANG Chun-an.Catastrophe of rock’s unstable failure under uniaxial compression loading[J].Journal of Northeastern University,1994,15(5):476–480.(in Chinese))
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