Critical Buckling Load Calculation of Piles Based on Cusp Catastrophe Theory

References

• Chen , Y. H. , D. H. Cao , X. Q. Wang , and H. W. Du . 2008 . Field study of plastic tube cast-in-place concrete pile . Journal of Central South University of Science and Technology 15 ( 2 ): 195 – 202 . (in Chinese)
   Web of Science ®Google Scholar
• Cui , S. Q. , Y. F. Zhang , C. B. Li , and X. Q. Hou . 2006 . Application of catastrophe theory in ascertainment of vertical bearing capacity of single pile . Journal of Water Resources and Architectural Engineering 4 ( 2 ): 19 – 22 . (in Chinese)
   Google Scholar
• Davisson , M. T. and K. E. Robinson . 1965 . Bending and buckling of partially embedded piles . Proceedings of the 6th International Conference on Soil Mechanics and Foundation Engineering 2 : 243 – 246 .
   Google Scholar
• Fu , C. H. and S. H. Chen . 2008 . Study on instability criteria of surrounding rock of underground engineering cavern based on catastrophe theory . Rock and Soil Mechanics 29 ( 1 ): 167 – 172 . (in Chinese)
   Google Scholar
• Jiang , Y. D. , X. F. Xian , and J. Yi . 2008 . Study on cusp catastrophe mutation of slope disability . Journal of Chongqing Jianzhu University 30 ( 1 ): 40 – 43 . (in Chinese)
   Google Scholar
• Poulos , H. G. and E. H. Davis . 1980 . Pile Foundation Analysis and Design . Sydney : The University of Sydney , 323 – 335 .
   Google Scholar
• Poulos , H. G. and N. S. Mattes . 1969 . The behaviour of axially loaded end-bearing pile . Geotechnique 19 ( 2 ): 285 – 300 .
   Google Scholar
• Qian , J. H. 1988 . Soil Mechanics , Nanjing : Hohai University Press , 155 – 158 . (in Chinese)
   Google Scholar
• Reddy , A. S. and A. J. Valsangkar . 1970 . Buckling of fully and partially embedded piles . Journal of Soil Mechanics and Foundation Division, ASCE 96 ( 6 ): 1951 – 1965 .
   Google Scholar
• Reddy , A. S. , A. J. Valsangkar , and G. C. Mishar . 1971 . Buckling of fully and partially embedded tapered piles . Proceedings of the 4th Asian Regional Conference on Soil Mechanics and Foundation Engineering l : 301 – 304 .
   Google Scholar
• Saleeb , A. F. , K. Chen , and Y. P. Chang . 1994 . An effective two-dimensional frictional contact model for arbitrary curved geometry . International Journal for Numerical Methods in Engineering 37 ( 8 ): 1297 – 1321 .
   Web of Science ®Google Scholar
• Ren , G. Y. 2003 . Shaft compression and buckling analysis for piles under vertical load. PhD thesis, Zhejiang University, Hangzhou, 58–77. (in Chinese)
   Google Scholar
• Shang , X. S. , S. J. Shao , and D. Y. Xie . 2004 . Application of catastrophe theory to sand liquefaction analysis . Chinese Journal of Rock Mechanics and Engineering 23 ( 1 ): 35 – 38 . (in Chinese)
   Google Scholar
• Simo , J. C. and T. A. Laursen . 1992 . An augmented Lagrangian treatment of contact problems involving friction . Computers & Structures 42 ( 1 ): 97 – 116 .
   Web of Science ®Google Scholar
• Toakley , A R. 1965 . Buckling loads for elastically supported struts . Journal of Engineering Mechanics Division, ASCE 91 ( 3 ): 205 – 231 .
   Google Scholar
• Wang , Y. , M. H. Zhao , and L. Huang . 2005 . Researches of buckling mechanism and analytic methods of piles . Central South Highway Engineering 30 ( 4 ): 22 – 26 . (in Chinese)
   Google Scholar
• Xu , Y. 2009 . Application of catastrophe in architecture construction safety . Journal of Jinlin Institute of Architecture & Civil Engineering 26 ( 2 ): 6 – 10 . (in Chinese)
   Google Scholar
• Yang , W. H. and L. Song . 2000 . Axial buckling analysis for top-free and bottom-fixed pile . Engineering Mechanics 17 ( 5 ): 63 – 66 . (in Chinese)
   Google Scholar
• Zhao , M. H. 1990 . Buckling analysis and tests of bridge piles . China Journal of Highway and Transport 3 ( 4 ): 47 – 56 . (in Chinese)
   Google Scholar
• Zhao , M. H. , C. Jiang , and W. G. Cao . 2008 . Catastrophe theory analysis of structural system buckling of high bridge pier and pile foundation . China Journal of Highway and Transport 21 ( 2 ): 49 – 53 . (in Chinese)
   Google Scholar
• Zhou , S. F. , X. H. Li , and C. Wang . 2005 . Calculation of critical load for super long pile with lateral soil resistance . Chinese Journal of Underground Space and Engineering 1 ( 6 ): 882 – 884 . (in Chinese)
   Google Scholar
• Zhu , D. T. 2004 . Stability of friction-bearing piles . Chinese Journal of Rock Mechanics and Engineering 23 ( 12 ): 2106 – 2109 . (in Chinese)
   Google Scholar
• Zou , X. J. 2005 . Theoretical and experimental study on the buckling analysis of piles. PhD thesis, Hunan University, Changsha, 36–46. (in Chinese)
   Google Scholar
• Wang , X. Q. , Y. H. Chen , and H. L. Liu . 2008 . Determining and forecasting ultimate bearing capacity of pile based on cusp catastrophe theory . Journal of Hohai University of Natural Sciences 36 ( 2 ): 248 – 252 . (in Chinese)
   Google Scholar
• Zhao , Z. Y. and C. L. Xiang . 2002 . The application of catastrophe theory in the environmental forecast . Environmental Monitoring in China 18 ( 4 ): 59 – 60 . (in Chinese)
   Google Scholar
• Zhang , Y. P. and Q. S. Zhang . 2000 . The application of cusp catastrophe theory in the traffic flow forecast . Journal of Systems Engineering 15 ( 3 ): 272 – 276 . (in Chinese)
   Google Scholar