Scattering of flexural waves by multiple narrow cracks in ice sheets floating on water

R Porter, DV Evans

Research output: Contribution to journalArticle (Academic Journal)

44 Citations (Scopus)

Abstract

An explicit solution is derived for the reflection and transmission of flexural-gravity waves propagating on a uniform elastic ice sheet floating on water which are obliquely-incident upon any number, N, of narrow parallel cracks of arbitrary separation. The solution is expressed in terms of a system of 2N linear equations for the jumps in the displacements and gradients across each of the cracks. A number of interesting features of the problem are addressed including the scattering by periodically-spaced arrays of cracks, the existence of localised edge wave solutions which travel along each of the cracks and examples of non-uniqueness, or trapped waves, in the case of four cracks. The problem of wave reflection by a semi-infinite periodic array of cracks is also formulated exactly in terms of a convergent infinite system of equations and relies on certain properties of the so-called Bloch problem for wave propagation through infinite periodic array of cracks.
Translated title of the contributionScattering of flexural waves by multiple narrow cracks in ice sheets floating on water
Original languageEnglish
Pages (from-to)425 - 443
JournalWave Motion
Volume43 (5)
Publication statusPublished - May 2006

Bibliographical note

Publisher: Elsevier Science BV
Other identifier: IDS number 051RI

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