Group analysis of the equations of ideal plasticity

DOI10.1134/S0021894421050205zbMath1491.74011OpenAlexW4206600591MaRDI QIDQ2121348

T. I. Senashov, O. V. Gomonova, O. N. Cherepanova

Publication date: 4 April 2022

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0021894421050205

zbMATH Keywords

exact solutionconservation lawgroup of continuous transformationsvon Mises three-dimensional ideal plasticity

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

• New exact solutions of the spatial Tresca plasticity equations
• Determining elastic and plastic deformation regions in a problem of unixaxial tension of a plate weakened by holes
• New Three-Dimensional Plastic Flows Corresponding to a Homogeneous Stress State
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