Asymptotic solution of elastic waves scattering problem by circular interface crack

Authors

  • Doroshenko O.V. Kuban State University, Krasnodar, Российская Федерация

UDC

539.3

Abstract

The present paper investigates the problem of an elastic wave scattering by a circular interface crack situated between two dissimilar half-spaces. The scattering by a crack is investigated by the boundary integral equation method and the integral approach, which can be generalized for layered composites. An explicit expression for the crack opening displacement of circular interface crack is derived for wavelengths of an incident wavefield larger than the diameter of the crack. For the case of a plane longitudinal wave diffraction at normal incidence to the interface an asymptotic solution is obtained. This asymptotic expression can be used in order to simulate wave scattering by a random distribution of small cracks and to estimate effective spring stiffness for spring models.

Keywords:

crack, diffraction, elastic waves, asymptotic, integral approach

Acknowledgement

Работа выполнена при поддержке Российского фонда фундаментальных исследований (12-01-33011-мол_вед_а).

Author Info

Olga V. Doroshenko

научный сотрудник Института математики, механики и информатики Кубанского государственного университета

e-mail: oldorosh@mail.ru

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Issue

2015. No. 2

Pages

30-38

Submitted

2014-10-17

Published

2015-06-25

How to Cite

Doroshenko O.V. Asymptotic solution of elastic waves scattering problem by circular interface crack. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2015, no. 2, pp. 30-38. (In Russian)

Copyright (c) 2015 Doroshenko O.V.

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