Scattering of a SH-wave by an elastic fiber of nonclassical cross section with an interface crack

Abstract

Citation for the published paper: Kunets, Y. ; Matus, V. ; Mykhavskiv, V. et al. (2008) "Scattering of a SH-wave by an elastic fiber of nonclassical cross section with an interface crack". Mechanics of composite materials, vol. 44(2), pp. 165-172.http://dx.doi.org/10.1007/s11029-008-9002-4 Downloaded from: http://publications.lib.chalmers.se/publication/73880 Notice: Changes introduced as a result of publishing processes such as copy-editing and formatting may not be reflected in this document. For a definitive version of this work, please refer to the published source. Please note that access to the published version might require a subscription.Chalmers Publication Library (CPL) offers the possibility of retrieving research publications produced at Chalmers University of Technology. It covers all types of publications: articles, dissertations, licentiate theses, masters theses, conference papers, reports etc. Since 2006 it is the official tool for Chalmers official publication statistics. To ensure that Chalmers research results are disseminated as widely as possible, an Open Access Policy has been adopted. The CPL service is administrated and maintained by Chalmers Library.(article starts on next page) Scattering of SH-wave by an elastic fiber of non-classical cross-section with interface crack AbstractThe problem of interaction of a plane time-harmonic SH-wave with an elastic inclusion of quasi-square and quasi-triangular cross-sections, when an interface crack is present between the infinite elastic matrix and the fiber, is considered. The modified null field method taking into account the asymptotic behavior of the solution at the crack tips is exploited for obtaining the numerical results. The effects of fiber shape, inclusion/matrix materials combination, debonding (crack size) and direction of wave incidence on the scattering amplitude in the far zone are analyzed.

Asymptotic approach in dynamic problems of the elasticity theory for bodies with thin elastic inclusions

“…У рамках запропонованого у статті єдиного підходу розв'язування динамічних задач таким методом є метод нульового поля (метод Т-матриць). Базуючись на загальних положеннях методу [82][83][84], отримано його розвиток щодо стаціонарних і нестаціонарних задач розсіяння пружних хвиль на тонкостінних криволінійних включеннях змінної товщини, коли пружна система перебуває в умовах плоскої деформації або поздовжнього зсуву, а також задач розсіяння згинних хвиль [24,25,37,39,41,[75][76][77][78]. Розглядалися випадки ідеального механічного контакту включення і матриці, випадок односторонньо жорстко підкріпленого включення.…”

Wave propagation in 2D elastic composites with partially debonded fibres by the null field approach

“…Sato and Shindo [4] considered such a problem for an elongated elliptical elastic inclusion with an interface crack. Diffraction of an SH-wave by a debonded elastic inclusion of more complicated square and triangular shapes was studied by Kunets et al [8]. However, the extension of these methods to the analysis of the macroscopic dynamic behaviour of composites with distributed debonded inclusions of general shapes was not realised until now.…”