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.
Citation:
D. Kolymbas, S. V. Lavrikov, A. F. Revuzhenko, “Method of analysis of mathematical models of media under complex loading”, Prikl. Mekh. Tekh. Fiz., 40:5 (1999), 133–142; J. Appl. Mech. Tech. Phys., 40:5 (1999), 895–902
\Bibitem{KolLavRev99}
\by D.~Kolymbas, S.~V.~Lavrikov, A.~F.~Revuzhenko
\paper Method of analysis of mathematical models of media under complex loading
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1999
\vol 40
\issue 5
\pages 133--142
\mathnet{http://mi.mathnet.ru/pmtf3148}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1999
\vol 40
\issue 5
\pages 895--902
\crossref{https://doi.org/10.1007/BF02468474}
Linking options:
https://www.mathnet.ru/eng/pmtf3148
https://www.mathnet.ru/eng/pmtf/v40/i5/p133
This publication is cited in the following 2 articles:
D. S. Zhurkina, S. V. Lavrikov, NUMERICAL METHODS FOR SOLVING PROBLEMS IN THE THEORY OF ELASTICITY AND PLASTICITY (EPPS 2021), 2448, NUMERICAL METHODS FOR SOLVING PROBLEMS IN THE THEORY OF ELASTICITY AND PLASTICITY (EPPS 2021), 2021, 020027
E. I. Kraus, S. V. Lavrikov, A. E. Medvedev, A. F. Revuzhenko, I. I. Shabalin, “Modeling of the differential rotation effect in complex loading of granular media”, J. Appl. Mech. Tech. Phys., 50:4 (2009), 661–669