Kunets Y. Methods of fundamental solutions with thin-walled elastic inclusions

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0506U000123

Thesis Registration Form

0506U000123.pdf

Applicant for

Specialization

  • 01.02.04 - Механіка деформівного твердого тіла

08-02-2006

Specialized Academic Board

Д35.195.01

Essay

At mathematical modeling of behavior of the composite with thin inhomogeneities, the approaches of the theory of singular perturbations are utilized. The case of perfect the mechanical contact of inclusion on a matrix is considered;cases of one-sided atripped or rigidly supported inclusion are studied too. Using the models obtained and the method of Fourier time transform, the null-field methods, the method of boundary integral equations, a series of new 2-D and spatial elastodynamic problems are solved for the bodies with thin elastic inclusions. On the basis of study of characteristics of the fields, diffracted by plane inclusions with weak visibility, the method of distant definition of mechanical and geometric parameters of such inclusion is worked out.

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