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IssuesArchive of Issues2013-3pp.348-355

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A.D. Chernyshov, "On Conditions of Snow Avalanching and Landslides," Mech. Solids. 48 (3), 348-355 (2013)
Year 2013 Volume 48 Number 3 Pages 348-355
DOI 10.3103/S0025654413030114
Title On Conditions of Snow Avalanching and Landslides
Author(s) A.D. Chernyshov (Voronezh State Technological Academy, pr-t Revolyutsii 19, Voronezh, 394000 Russia, chernyshovad@mail.ru)
Abstract The problem of elastic equilibrium of a wedge-shaped ground or snow massive on a rigid inclined plane under the action of gravity force and a constant force on its outer surface is considered in the three-dimensional statement. An exact solution that allows one to determine the displacements, strains, and stresses at each point of the massive is obtained in final form. An analysis shows that there are several critical relations between the problem input parameters at which the massive equilibrium is impossible. In this case, the earth or snow tears off from the slope and becomes a dangerous avalanche. In particular, this result can be used to predict formation of landslides and snow avalanching in mountains.
Keywords angle-shaped massive, snow avalanching, landslides, elastic equilibrium, separtion criteria
References
1.  V. M. Alexandrov and V. V. Kopasenko, "Contact Problem for an Elastic Wedge with a Rigidity Clamped Face," Prikl. Mekh. 4 (7), 75-82 (1968) [Int. Appl. Mech. (Engl. Transl.) 4 (7), 47-50 (1968)].
2.  D. D. Ivlev, Mechanics of Plastic Media (Fizmatlit, Moscow, 2001) [in Russian].
3.  A. D. Chernyshov, "On Deformation of Continuous Media in a Wedge-Like Region with Smooth Faces," Prikl. Mat. Mekh. 39 (6), 1093-1099 (1975) [J. Appl. Math. Mech. (Engl. Transl.) 39 (6), 1047-1053 (1975)].
4.  Ya. S. Ufland, "Mixed Elasticity Problem for a Wedge," Izv. Akad. Nauk SSSR. OTN. Mekh. Mashinostr., No. 2, 156-158 (1959).
5.  D. A. Pozharskii, "The Three-Dimensional Contact Problem for an Elastic Wedge Taking Friction Forces into Account," Prikl. Mat. Mekh. 64 (1), 151-159 (2000) [J. Appl. Math. Mech. (Engl. Transl.) 64 (1), 147-154 (2000)].
6.  A. D. Chernyshov, Angular Superposition Method (Izd-vo Voronezh Gos. Tekhnol. Akad., Voronezh, 2009) [in Russian].
7.  K. F. Voitkovskii, Mechanical Properties of Snow (Nauka, Moscow, 1977) [in Russian].
8.  Building Regulations (SNiP) 2.02.01-83. Building and Structure Basements. Supplement 2 [in Russian].
Received 30 June 2010
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