Elastoplastic torsion of a cylindrical rod for finite deformations

DOI10.1016/0021-8928(89)90090-7zbMath0732.73034OpenAlexW2151463228MaRDI QIDQ808768

N. Kh. Arutyunyan, Yu. N. Radayev

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8928(89)90090-7

zbMATH Keywords

multiplicative decompositiondeformation gradientRiccati equationplastic deformationelastic deformationnonlinear kinematicsTresca yield conditioninitial data at the elastoplastic boundaryMooney-Rivlin equationsnonlinear first-order partial differential equationquadratures of elliptic functions

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Large-strain, rate-dependent theories of plasticity (74C20) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15)

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Cites Work

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• Large elastic deformations of isotropic materials VI. Further results in the theory of torsion, shear and flexure