Deformation of characteristic curves of the plane ideal plasticity equations by point symmetries

DOI10.1016/J.NA.2009.01.161zbMath1238.74008OpenAlexW1999590999MaRDI QIDQ419916

Liliya Yakhno, Sergey I. Senashov, Alexander Yakhno

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.161

zbMATH Keywords

plasticitysymmetry analysisboundary value problems for hyperbolic systems of first-order PDEexact solutions of differential equationsLie group and algebra methods

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Explicit solutions of equilibrium problems in solid mechanics (74G05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (2)

Solution of Boundary Value Problems of Plasticity with the Use of Conservation Laws ⋮ Symmetry group analysis of an ideal plastic flow

Cites Work

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• Nonlinear superposition principles obtained by Lie symmetry methods
• Nonlocal symmetries and generation of solutions for partial differential equations
• Classification of systems of nonlinear ordinary differential equations with superposition principles
• Symmetries and conservation laws of 2-dimensional ideal plasticity
• Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
• Nonlinear boundary value problems in science and engineering

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