Elastic wave diffraction by a wedge-shaped inclusion
- 28 Downloads
By means of Sommerfeld integrals techniques the problem of diffraction is reduced to a functional equation in a complex domain. Such an equation is known in the literature as an equation with non-Carleman translation. The theory of pseudodifferential operators reduces to the theory of functional equations and, consequently, the problem of diffraction, to a Fredholm integral equation. Bibliography: 12 titles.
KeywordsIntegral Equation Functional Equation Elastic Wave Pseudodifferential Operator Complex Domain
Unable to display preview. Download preview PDF.
- 1.B. V. Budaev, “Diffraction of elastic waves by a wedge. General approach,” (Preprint), LOMI, No. E-13-86, Leningrad (1988).Google Scholar
- 2.B. V. Budaev, “Diffraction of elastic waves by a wedge. II,” (Preprint), LOMI, No. E-6-89, Leningrad (1990).Google Scholar
- 4.B. V. Budaev, “Eigenfunctions of a stress-free elastic wedge,” in:Problems in the Dynamic Theory of Seismic Wave Propagation [in Russian], vol. 29, Leningrad (1989), pp. 36–40.Google Scholar
- 6.G. D. Malyuzhinets,The Sommerfeld Integrals and Their Applications in Diffraction Theory [in Russian], NPO “Rumb,” Leningrad (1979).Google Scholar
- 7.G. D. Malyuzhinets, “Sound's radiation by oscilating faces of an arbitrary wedge,”Akust. Zh.,1, No 2, 144–164 (1955).Google Scholar
- 9.M. S. Bobrovnikov and V. V. Fisanov,Diffraction in Wedge-shaped Regions [in Russian], Tomsk University, Tomsk (1988).Google Scholar
- 10.M. A. Shubin,Pseudodifferential Operators and Spectral Theory [in Russian], Nauka, Moscow (1978).Google Scholar
- 11.F. Treves,Introduction to Pseudodifferential and Fourier Operators, Vol. 2, Pseudodifferential Operators, Plenum Press, New York-London (1982).Google Scholar
- 12.L. Hermander,The Analysis of Linear Partial Differential Operators III. Pseudodifferential Operators, Springer-Verlag, New York (1985).Google Scholar