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On elastic strains and a viscoplastic flow in a heavy layer placed on an inclined plane

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Abstract

We present a closed solution of the boundary value problem of the theory of large elastoplastic strains concerned with the straight motions of the medium which is a layer of heavy material placed on the inclined plane with a load on its free surface. Under the conditions that the medium is incompressible, we study the conditions of the flow onset, development, and retardation. Special attention is paid to the repeated loading under which the elastoplastic boundary may enter the region with accumulated plastic strains, and the latter may decrease because of the further motion of this surface.

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Correspondence to A. A. Burenin.

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Original Russian Text © A.A. Burenin, L.V. Kovtanyuk, 2010, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2010, No. 2, pp. 158–170.

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Burenin, A.A., Kovtanyuk, L.V. On elastic strains and a viscoplastic flow in a heavy layer placed on an inclined plane. Mech. Solids 45, 284–294 (2010). https://doi.org/10.3103/S0025654410020147

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