NDLI: Mathematical methods in some diffraction problems for domains with defects

Content Provider	IEEE Xplore Digital Library
Author	Gousenkova, A.A.
Copyright Year	2002
Description	Author affiliation: Dept. of Appl. Math., Kazan State Univ., Russia (Gousenkova, A.A.)
Abstract	Mathematical methods in diffraction problems for elastic time-harmonic waves on defects are considered. It is assumed that body forces are absent and the defect may be disposed on the plane in the homogeneous isotropic space or on the media interface of two homogeneous isotropic half-spaces. Systems of singular integral equations are obtained for the problems. Some approaches to elastodynamic problems in the case of an anisotropic elastic medium are considered too. Analogues of the Lopatinskii condition and boundary conditions of an elliptic boundary value problem in the halfspace are obtained. It is shown that both approaches are equivalent. To solve these problems classes of outgoing from plane solutions are introduced. The Fourier transformation in the class of generalized functions of slow growth at infinity and presentations of solutions of the problems by potential functions are used.
Sponsorship	IEEE AP/MTT/AES/ED/GRS/NPS/EMB Soc. East Ukraine Joint Chapter Sci. Council of NAS on Radio Phys. & Microwave Electron. Inst. Radio-Phys. & Electron. NAS Nat. Tech. Univ. Ukdraine - Kiev Polytechnic Inst. Ukrainian Nat. URSI Committee
Starting Page	496
Ending Page	498
File Size	244547
Page Count	3
File Format	PDF
ISBN	078037391X
DOI	10.1109/MMET.2002.1106979
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2002-09-10
Publisher Place	Ukraine
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Diffraction Boundary conditions Boundary value problems Elastodynamics Anisotropic magnetoresistance Fourier transforms Stress Laplace equations Mathematics Integral equations
Content Type	Text
Resource Type	Article

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