Analytical methods in mechanics of granular-elastic media

Oleg I. Zayats; Alexander N. Nezlobin; Victor G. Cheremensky; Natalia M. Dobrova

doi:10.1117/12.347462

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5 May 1999 Analytical methods in mechanics of granular-elastic media

Oleg I. Zayats; Alexander N. Nezlobin; Victor G. Cheremensky; Natalia M. Dobrova

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Proceedings Volume 3687, International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering; (1999) https://doi.org/10.1117/12.347462
Event: International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, 1998, St. Petersburg, Russian Federation

Abstract

Stress-strain plane state of granular-elastic layered media is under investigation. Several horizontal granular layers are laying on an elastic one, which is weakened by a round hole. The attention is paid to evaluating the upper surface displacements. The Kandaurov's model of stresses in granular medium is used. The displacements of grains are described by the generalized Litwiniszyn-Muller's model. Authors have introduced the stresses into the stochastic equations for the trajectories of grains. General problem is reduced to three sequentially solved ones: (1) evaluating stresses in the granular layers; (2) solving stress-strain problem for the elastic layer; (3) calculating the displacements in granular layers.

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Oleg I. Zayats, Alexander N. Nezlobin, Victor G. Cheremensky, and Natalia M. Dobrova "Analytical methods in mechanics of granular-elastic media", Proc. SPIE 3687, International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (5 May 1999); https://doi.org/10.1117/12.347462