Axisymmetric plastic flow of an ideally connected medium with friction

A new approach is proposed to solving the boundary value problems of a flow corresponding to the sides of piecewise-smooth conditions of plasticity, based on introducing the function of characteristic directions which satisfies a quasilinear second-order hyperbolic equation. Systems of equations are...

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Bibliographic Details
Published in:Journal of applied mathematics and mechanics 1987, Vol.51 (1), p.112-120
Main Author: Shtein, M.Sh
Format: Article
Language:English
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Summary:A new approach is proposed to solving the boundary value problems of a flow corresponding to the sides of piecewise-smooth conditions of plasticity, based on introducing the function of characteristic directions which satisfies a quasilinear second-order hyperbolic equation. Systems of equations are studied describing the plastic flow of an ideally rigidplastic medium obeying the generalized Coulomb-Mohr condition. It is established that the systems of equations are hyperbolic, and relations on the characteristics are obtained. The possible discontinuities in the stresses and displacement velocities along certain curves in the meridional plane are studied. Analgoues of the variational principles are obtained for the rigid-plastic medium in question.
ISSN:0021-8928
0021-8928
DOI:10.1016/0021-8928(87)90046-3