The second approximation in a small parameter to a solution of the problem of elastoplastic instability of a rotating disk

TitleThe second approximation in a small parameter to a solution of the problem of elastoplastic instability of a rotating disk
Publication TypeJournal Article
Year of Publication2018
AuthorsLila, DM
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2018.05.036
Issue5
SectionMechanics
Pagination36-43
Date Published5/2018
LanguageRussian
Abstract

We have proposed a way of the investigation of the possible loss of stability by a rotating thin circular disk by the method of small parameter on the basis of Saint-Venant's yield condition. We have obtained a characteristic equation for the critical radius of the plastic zone as the second approximation. We also have found the critical angular rotational velocity.

Keywordsboundary shape perturbation method, critical angular velocity, elastoplastic problem, rotating disk, stability loss
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