Semkiv M. Diffraction of elastic wave on local inhomogeneous in the waveguide.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0412U005900

Applicant for

Specialization

  • 01.02.04 - Механіка деформівного твердого тіла

26-09-2012

Specialized Academic Board

К 26.001.21

Taras Shevchenko National University of Kyiv

Essay

In the presented work the propagation of SH-wave and Lamb wave in elastic waveguides with finite length cracks in the case of free boundaries is considered. The analysis of diffraction of elastic waves on crack is performed. This problem was solved by the method of partial regions. Matching procedure reduce to the infinite system of algebraic equations for unknown amplitudes. In case of diffraction normal SH-wave this system is solved by the use of modified method of residues of analytical functions; in case of diffraction of Lamb wave this system of equation is solved by Wiener-Hopf technique. Modified residues method is based on calculating of integral as the sums of residues of analytical function f(w) in the complex plane.

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