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Title of Article

THE FORMULATIONS AND INTEGRAL METHODS OF THE ANALYSIS OF SPECTRAL PROBLEMS OF STABILITY IN CONTINUUM MECHANICS


Issue
4
Date
2011

Article type
scientific article
UDC
539.374
Pages
2098-2099
Keywords
 


Authors
Georgievskiy D.V.
Moskovskiy gosuniversitet im. M.V. Lomonosova


Abstract
Formulations of new linearized problems of stability of deformation processes in incompressible materials with constitutive relations which can include tensor nonlinear functions are presented. Examples of reduction of these problems to spectral problems of stability are described. Integral equation methods permitting to obtain the sufficient stability estimates (with respect to the certain perturbation class) are developed.

File (in Russian)