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Volume 33 Issue 7
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WANG Jian, CEN Wei-jun, ZHANG Yu. Non-uniqueness of back-analyzed parameters of Ducan-Chang model[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(7): 1054-1057.
Citation: WANG Jian, CEN Wei-jun, ZHANG Yu. Non-uniqueness of back-analyzed parameters of Ducan-Chang model[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(7): 1054-1057.
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Non-uniqueness of back-analyzed parameters of Ducan-Chang model

  • (1. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, HohaiUniversity, Nanjing 210098, China; 2. College of. Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098,China)

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  • Received Date: April 28, 2010
  • Published Date: July 14, 2011
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    • Abstract
  • The fact that the back analysis procedure simultaneously selecting failure ratio Rf cohesion C, and frictional angle φ as objective parameters in Duncan-Chang hyperbolic constitutive model tends to fail is caused by numerical singularity because of non-uniqueness of the solution. The non-uniqueness arises from the co-relation of Rf C , and φ, which means there are innumerable groups of Rf, C, and φ which can form the same Rf S (product of failure ratio Rf and stress level S ) and produce the same tangent modulus Et and tangent Poisson ratio νt under specific stress condition and finally provide the same objective value in back analysis. Effective methods are given to ensure the identification of Duncan-Chang hyperbolic constitutive model during back analysis by means of parameter reconstruction and parameter constraint.
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    • References (15)
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