Numerical investigation of the Problem of cohesive running soils punching shear


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Abstract

A special mathematical model generalizing the classical model of the elasticity theory is used for the analysis of directions of the deformations localization in samples of soils with different strengths. Numerical solution of the problems is carried out by means of iterative process, the equations of the elasticity theory with initial stresses being solved on each step thereof on the basis of the finite-element method.

About the authors

O I Kuzovatova

Siberian Federal University, Russia, Krasnoyarsk

Siberian Federal University, Russia, Krasnoyarsk

V M Sadovsky

Institute of Computational Modelling, Russian Academy of Sciences, Siberian Branch, Russia, Krasnoyarsk

Institute of Computational Modelling, Russian Academy of Sciences, Siberian Branch, Russia, Krasnoyarsk

References

  1. Myasnikov, V . P. Variational principles of the limit equilibrium theory of materials with different strengths / V. P. Myasnikov, V M. Sadovsky //Applied mathematics and mechanics. 2004. T. 68. № 3. P. 488-499.
  2. Sadovskaya, O. V Mathematical modeling in mechanics problems of granular materials / O. V. Sadovskaya, V. M. Sadovsky. M.: PhysMathLit, 2008.
  3. Marchuk, G. I. Introduction to projective-grid methods / G. I. Marchuk, V I. Agoshkov. M.: Science, 1981.
  4. Segerlind, L. The application of finite-element method. M.: Mir, 1979.392 p.
  5. Kuzovatova, O. I. Modeling of strains deformation in the materials with different strengths / O. I. Kuzovatova, V. M. Sadovsky // J. of Siberian Federal University. Mathematics & Physics. Krasnoyarsk, 2008. № 1(3). P. 272-283.

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Copyright (c) 2009 Kuzovatova O.I., Sadovsky V.M.

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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