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Title of Journal: J Eng Math

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Abbravation: Journal of Engineering Mathematics

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Springer Netherlands

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DOI

10.1007/bf02478218

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ISSN

1573-2703

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Flexural gravity wave scattering by a nearly verti

Authors: R B Kaligatla S R Manam
Publish Date: 2014/04/24
Volume: 88, Issue: 1, Pages: 49-66
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Abstract

Twodimensional linear flexural gravity wave scattering by a nearly vertical porous wall is analyzed through a simplified perturbational analysis A continuous semiinfinite ice sheet of uniform thickness is assumed to be floating over water of infinite depth The ice sheet with inclusion or exclusion of compressive stress has either a free edge or a clamped edge at the porous wall The firstorder correction to the reflected flexural gravity wave amplitude is obtained by two different methods The first method involves an application of Green’s theorem and the second method involves a first kind integral equation The integral equation method proves to be robust as it provides a complete solution in all cases of the problem whereas the first method fails to produce the same when the ice sheet with a free edge is under compressive stress The strain in the ice sheet and shear force along the ice sheet are computed and explained graphically for suitable parameters and a particular wall shape function

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