On the method of perturbations in the problem of elastoplastic instability of a rotating disk

TitleOn the method of perturbations in the problem of elastoplastic instability of a rotating disk
Publication TypeJournal Article
Year of Publication2017
AuthorsLila, DM
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2017.09.048
Issue9
SectionMechanics
Pagination48-54
Date Published9/2017
LanguageRussian
Abstract

In the study of the loss of stability by a rapidly rotating thin circular disk, a possible form of perturbation of the initial contour circle is elucidated. The first four approximations are obtained for the small parameter of the linearized boundary conditions and the conjugation conditions for the solutions.

Keywordsboundary shape perturbation method, critical angular velocity, elastoplastic problem, rotating disc, stability loss
References: 
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  2. Guz', A. N. & Nemish, Yu. N. (1989). Method of Perturbation of the Shape of the Boundary in Continuum Mechanics, Kyiv: Vyshcha Shkola (in Russian).
  3. Ivlev, D. D. & Ershov, L. V. (1978). Perturbation Method in the Theory of Elastoplastic Bodies, Moscow: Nauka (in Russian).
  4. Lila, D. M. & Martynyuk, A. A. (2011). About the stability loss of a rotating elastoplastic circular disc. Dopov. Nac. akad. nauk Ukr., No. 1, pp. 44-51 (in Russian).