The diffusion of a discontinuity of the shear stress at the boundary of a viscoplastic half-plane

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Georgiyevskii, D.V.

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Journal of Applied Mathematics and Mechanics | 2006年 / 70卷 / 05期

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For the problem of the diffusion of a discontinuity of the shear stress at the boundary of a half-plane; which is a special case of the general problem of the diffusion of a vortex layer; the classes of media and types of assignment of boundary conditions for which self-similar solutions exist are discussed. For a viscoplastic medium in a half-plane the problem reduces to the problem in a layer of time-variable thickness; the solution of which does not possess the property of analyticity. The long-term asymptotic of this problem are investigated. In the case where; at an accessible boundary; it is possible simultaneously to measure both the shear stress and the horizontal velocity; an algorithm is proposed for finding a quantity that is difficult to measure; A namely; the thickness of the zone of viscoplastic flow. © 2006 Elsevier Ltd. All rights reserved;

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页码：796 / 803