Conservation laws, hodograph transformation and boundary value problems of plane plasticity

DOI10.3842/SIGMA.2012.071zbMath1270.35309arXiv1210.3673OpenAlexW1977864156MaRDI QIDQ352365

Alexander Yakhno, Sergey I. Senashov

Publication date: 4 July 2013

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.3673

zbMATH Keywords

quasilinear equationsgas dynamicscharacteristic linesRiemann method

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Hyperbolic equations on manifolds (58J45)

Related Items (8)

Variants of the Hodograph Method for Solving a System of Two Quasilinear Equations ⋮ On Elastoplastic Torsion of a Rod with Multiply Connected Cross-Section ⋮ Interaction of weak discontinuities and the hodograph method as applied to electric field fractionation of a two-component mixture ⋮ Conservation laws of three-dimensional perfect plasticity equations under von Mises yield criterion ⋮ Hodograph method for solving the problem of shallow water under solid cover in the case of hyperbolic equations ⋮ Solution of Boundary Value Problems of Plasticity with the Use of Conservation Laws ⋮ Methods for solving the problem of zonal electrophoresis with periodic initial data ⋮ Hodograph method for solving the overturned shallow water problem

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