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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 004.652, 539.3
Panchenko B.E., Saiko I.N.

HIGH-PRECISION MAXIMUM STRESSES IN THE PROBLEM OF THE INTERACTION OF ELASTIC WAVES
WITH A SYSTEM OF CYLINDRICAL CAVITIES UNDER PLAIN STRAIN

Abstract. A scheme of high-precision parallel computing of the problem of diffraction of elastic waves on a system of cylindrical non-circular cavities is proposed. The problem is reduced to the solution of singular integral equations realized numerically. The dependences of stresses at the boundaries of cavities on dynamic and geometric characteristics are presented. The high-precision values of maximum stresses at the boundaries of cavities due to the impact of P - and SV -waves are presented for the first time.

Keywords: dynamic problems of the theory of elasticity, isotropic media with arbitrary holes, plane strain waves, singular integral equations, parallel computing.



FULL TEXT

Панченко Борис Евгеньевич,
доктор физ.-мат. наук, старший научный сотрудник Института кибернетики им. В.М. Глушкова НАН Украины, Киев, e-mail: pr-bob@ukr.net.

Сайко Игорь Николаевич,
аспирант Института кибернетики им. В.М. Глушкова НАН Украины, Киев.

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