Chernobai V. The stress field and effective elastic properties of a piecewise homogeneous solids with imperfect elliptic interfaces at anti-plane shear.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0418U004314

Applicant for

Specialization

  • 01.02.04 - Механіка деформівного твердого тіла

18-12-2018

Specialized Academic Board

Д 26.166.01

S.P.Timoshenko Institute of Mechanics

Essay

The problem of the anti-plane shear of an elastic solid with a finite set and a periodic system of arbitrary elliptic inclusions is solved in the assumption of imperfect mechanical contact on the interfaces. An analytical solution was obtained by the method of series using the technique of complex potentials. The modified Maxwell and Rayleigh methods for determining effective constants are formulated in terms of the induced dipole moments of elliptic inclusions.

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