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Translated from Atomnaya Énergiya, Vol. 69, No. 5, pp. 300–303, November, 1990. 相似文献
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On direct numerical treatment of hypersingular integral equations arising in mechanics and acoustics
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.
Received July 15, 2002; revised November 13, 2002
Published online: May 8, 2003
The paper has been supported by Italian Ministry for Instructions, University and Research (M.I.U.R.) through its national
and local projects. 相似文献
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