On direct numerical treatment of hypersingular integral equations arising in mechanics and acoustics

In this paper, we present a treatment of hypersingular integral equations, which have relevant applications in many problems of wave dynamics, elasticity and fluid mechanics with mixed boundary conditions. The main goal of the present work is the development of an efficient direct numerical collocat...

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Bibliographic Details
Published in:Acta mechanica 2003-05, Vol.162 (1-4), p.99-110
Main Authors: Iovane, G, Lifanov, I K, Sumbatyan, M A
Format: Article
Language:English
Subjects:
Acoustics
Fluid dynamics
Mechanics
Surface waves
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Summary:In this paper, we present a treatment of hypersingular integral equations, which have relevant applications in many problems of wave dynamics, elasticity and fluid mechanics with mixed boundary conditions. The main goal of the present work is the development of an efficient direct numerical collocation method. The paper also includes two examples taken from fracture mechanics and acoustics: a single crack in a linear isotropic elastic medium, and diffraction of a plane acoustic wave by a thin rigid screen. [PUBLICATION ABSTRACT]
ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-002-1007-9