Finite Strain upon Elastic–Plastic Torsion of an Incompressible Circular Cylinder

An exact analytical solution of the problem of torsion of an incompressible circular cylinder with fixed ends has been obtained. No limitations are imposed on the values of reversible and irreversible strains. It is assumed that the elastic behavior of the medium is described within the two-constant...

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Bibliographic Details
Published in:Doklady. a journal of the Russian Academy of Sciences. Physics 2018-09, Vol.63 (9), p.393-395
Main Authors: Sevastyanov, G. M., Burenin, A. A.
Format: Article
Language:English
Subjects:
Circular cylinders
Classical Mechanics
Computational fluid dynamics
Elasticity
Mathematical and Computational Physics
Mechanics
Physics
Physics and Astronomy
Plastic flow
Strain
Theoretical
Torsion
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Summary:An exact analytical solution of the problem of torsion of an incompressible circular cylinder with fixed ends has been obtained. No limitations are imposed on the values of reversible and irreversible strains. It is assumed that the elastic behavior of the medium is described within the two-constant Mooney–Rivlin model and that the plastic flow is ideal. The yield surface is chosen to be a Tresca prism. The multiplicative decomposition of the Almansi strain measure in reversible and irreversible components is applied.
ISSN:1028-3358
1562-6903
DOI:10.1134/S1028335818090094