Method of characteristics for the 3D perfect plasticity problem with the von Mises yield criterion

We present a linearized system of partial differential equations for the three-dimensional perfect plasticity problem with the von Mises yield criterion. We construct the characteristics of the three-dimensional problem, obtain differential relations along the characteristic planes, and devise a con...

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Bibliographic Details
Published in:Mechanics of solids 2009-04, Vol.44 (2), p.322-332
Main Authors: Verveyko, N. D., Kuptsov, A. V.
Format: Article
Language:English
Subjects:
Classical Mechanics
Physics
Physics and Astronomy
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Summary:We present a linearized system of partial differential equations for the three-dimensional perfect plasticity problem with the von Mises yield criterion. We construct the characteristics of the three-dimensional problem, obtain differential relations along the characteristic planes, and devise a consistent stable finite-difference scheme. The use of conditions on the stress discontinuity surfaces permits simultaneously solving the Cauchy, Goursat, and mixed problems.
ISSN:0025-6544
1934-7936
DOI:10.3103/S0025654409020186