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Method of analysis of mathematical models of media under complex loading

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Abstract

A method of analysis of constitutive models of media with complex loading trajectories is proposed. It is based on a comparison of data from laboratory experiments and corresponding results of numerical calculations. In previous laboratory experiments, nearly homogeneous complex loading with continuous rotation of the principal axes of the strain tensor and loading with broken strain trajectories was performed. Numerical calculations for the types of loading corresponding to the experiments performed are based on the constitutive equations of the model. The numerical results obtained and data of the laboratory experiments are compared. The hypoplastic model of a geomedium is analyzed. Analysis shows that the model is a satisfactory qualitative and quantitative approximation of data from laboratory experiments on complex loading of geomaterials.

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Authors and Affiliations

  1. Institute of Geoengineering and Tunnel Construction, Innsbruck University, Austria

    D. Kolymbas

  2. Mining Institute, Siberian Division, 630091, Novosibirsk

    S. V. Lavrikov & A. F. Revuzhenko

Authors
  1. D. Kolymbas
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  2. S. V. Lavrikov
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  3. A. F. Revuzhenko
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 5, pp. 133–142, September–October, 1999.

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Kolymbas, D., Lavrikov, S.V. & Revuzhenko, A.F. Method of analysis of mathematical models of media under complex loading. J Appl Mech Tech Phys 40, 895–902 (1999). https://doi.org/10.1007/BF02468474

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  • DOI: https://doi.org/10.1007/BF02468474

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