Multimode solutions of an ideal plastic flow

Details Multimode solutions of an ideal plastic flow Multimode solutions of an ideal plastic flow

2012-01-23

arxiv.org/abs/1201.4799v1

Physics

Mathematical Physics

Scientific paper

This paper contains an analysis of multimode solutions expressible in terms of Riemann invariants obtained from complex characteristic elements. A variant of the conditional symmetry method for constructing this type of solution is proposed. Examples of applications of the proposed approach to a nonstationary irrotational ideal plastic flow in (2+1) dimensions are discussed in detail. Several new classes of solutions, some of them bounded, have been obtained in closed form. For a particular case of a stationary ideal plastic flow, extrusion dies have been drawn.

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