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Exact elastoplastic analysis of a rotating cylinder with a rigid inclusion under mechanical loading and unloading
Author(s) -
Prokudin A. N.
Publication year - 2020
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201900213
Subject(s) - cylinder , plasticity , plane stress , materials science , mechanics , displacement (psychology) , infinitesimal , rotation (mathematics) , flow (mathematics) , stress (linguistics) , yield surface , inclusion (mineral) , deformation (meteorology) , plane (geometry) , yield (engineering) , geometry , mathematics , structural engineering , composite material , finite element method , physics , mathematical analysis , constitutive equation , thermodynamics , engineering , psychology , linguistics , philosophy , psychotherapist
An elastoplastic rotating cylinder with a rigid inclusion under plane strain condition is investigated. The analysis is based on infinitesimal strain theory, Tresca's yield condition, and its associated flow rule and perfectly plastic material behavior. Both loading and unloading are considered. It is established that secondary plastic flow may occur during unloading after a previous rotation, and the exact solutions for all stages of deformation are obtained. The results are illustrated by the distributions of the displacement, stress and plastic strain in a cylinder rotating at different speeds.