Last edited by Baran
Thursday, July 30, 2020 | History

8 edition of Diffraction by an Immersed Elastic Wedge found in the catalog.

Diffraction by an Immersed Elastic Wedge

by Jean-Pierre Croisille

  • 52 Want to read
  • 21 Currently reading

Published by Springer .
Written in English

    Subjects:
  • Calculus & mathematical analysis,
  • Numerical analysis,
  • Sound, vibration & waves (acoustics),
  • Waves,
  • Mathematics,
  • Wedges,
  • Analytic Mechanics (Mathematical Aspects),
  • Science,
  • Wave-motion, Theory of,
  • Science/Mathematics,
  • Number Systems,
  • General,
  • Waves & Wave Mechanics,
  • Mathematics / Number Systems,
  • Mathematics-Number Systems,
  • Medical-General,
  • Science / Waves & Wave Mechanics,
  • Advanced,
  • Differential Equations,
  • Diffraction

  • The Physical Object
    FormatPaperback
    Number of Pages134
    ID Numbers
    Open LibraryOL9063190M
    ISBN 103540668101
    ISBN 109783540668107

    Diffraction by an Immersed Elastic Wedge by Jean-Pierre Croisille; Gilles Lebeau and Publisher Springer. Save up to 80% by choosing the eTextbook option for ISBN: , The print version of this textbook is ISBN: , The problem of wave diffraction by wedge-shaped structures is important in many applications, including electromagnetics, acoustics and geophysics. Numerous attempts to solve these problems have been made during the last 70 years using both analytical and numerical methods, but this has proved to be very difficult; only a few of the simplest.

      1. INTRODUCTION WE CONSIDER the low frequency diffraction of plane harmonic anti-plane shear (SH) wave by an edge crack in an elastic wedge of arbitrary vertex angle. In case of an elastic half space, i.e. an wedge of vertex angle n, the problem has been studied by Dutta[l] by the method of matched asymptotic expansion. This list is by no means exhaustive and we should also mention Budaev's method for elastic wedge scattering (Budaev and Bogy, ), the Physical Theory of Diffraction (Ufimtsev, ) and an.

    The wave propagation behavior in an elastic wedge-shaped medium, with a circular canyon at its vertex, has been studied. In particular, an analytic closed-form solution has been derived and solved for the case of plane shear horizontal- (SH) or source-emitted SH-wave incidence.   An exact solution of the antiplane problem of the diffraction of a plane elastic SH-wave with a step profile by a wedge is obtained. The stresses on the wedge sides are assumed to be proportional to a linear combination of the displacements, velocities and higher derivatives with respect to time of the displacements along the wedge axis.


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Diffraction by an Immersed Elastic Wedge by Jean-Pierre Croisille Download PDF EPUB FB2

This description is subsequently used to derive an accurate numerical computation of diffraction diagrams for different incoming waves in the fluid, and for different wedge angles.

The method can be applied to any problem of coupled waves by a wedge interface. This monograph presents the mathematical description and numerical computation of the high-frequency diffracted wave by an immersed elastic wave with normal incidence.

The mathematical analysis is based on the explicit description of the principal symbol of the pseudo-differential operator. This monograph presents the mathematical description and numerical computation of the high-frequency diffracted wave by an immersed elastic wave with normal incidence.

This description is subsequently used to derive an accurate numerical computation of diffraction diagrams for different incoming waves in the fluid, and for different wedge angles.

Diffraction by an immersed elastic wedge. Berlin ; New York: Springer, © (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Jean-Pierre Croisille; Gilles Lebeau.

We use the approach developed in the book the 2D diffraction problem of an immersed elastic wedge for angles lower thanπ. of plane elastic wave diffraction by a wedge is of great interest.

Buy Diffraction by an Immersed Elastic Wedge (Lecture Notes in Mathematics) by Gilles Lebeau, Jean-Pierre Croisille (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders. Diffraction by an elastic wedge with stress-free boundary Diffraction by an immersed elastic wedge.

Book Description The problem of wave diffraction by wedge-shaped structures is important in many applications, including electromagnetics, acoustics and geophysics. Numerous attempts to solve these problems have been made during the last 70 years using both analytical and numerical methods, but this has proved to be very difficult; only a few.

Jean-Pierre Croisille: free download. Ebooks library. On-line books store on Z-Library | B–OK. Download books for free. Find books. 2D elastic plane wave diffraction by a stress-free wedge is a canonical problem of interest to researchers in many different fields.

To our knowledge, no fully analytical resolution has been found and semi-analytical evaluations of asymptotic approximations have therefore become a.

Mathematics Inspired by Biology Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Martina Franca, Italy, JuneGet this from a library. Diffraction by an immersed elastic wedge.

[Jean-Pierre Croisille; Gilles Lebeau] -- This monograph presents the mathematical description and numerical computation of the high-frequency diffracted wave by an immersed elastic wave. Diffraction by an immersed elastic wedge. By Jean-Pierre Croisille and Gilles Lebeau.

Cite. BibTex; Full citation; Abstract. This monograph presents the mathematical description and numerical computation of the high-frequency diffracted wave by an immersed elastic wave with normal incidence.

Cite this chapter as: Croisille JP., Lebeau G. () Numerical results. In: Diffraction by an Immersed Elastic Wedge. Lecture Notes in Mathematics, vol Cite this chapter as: Croisille JP., Lebeau G.

() Notation and results. In: Diffraction by an Immersed Elastic Wedge. Lecture Notes in Mathematics, vol La Création Chez Les Pères by Marie-Anne Vannier, Université de Metz and a great selection of related books, art and collectibles available now at   The spectral functions method has previously been introduced to solve the 2D diffraction problem of an immersed elastic wedge for angles lower than π.

As a first step, the spectral functions method has been developed here for the diffraction on an acoustic wave by a stress-free wedge, in 2D and for any wedge angle, before studying the elastic.

The method of the proof is similar to that used in the book by J.-P. Croisille and G. Lebeau. The most essential distinctions are related to the isomorphism theorem. “Diffraction by an immersed elastic wedge,” Lect. Notes Math.,Springer ().

“Diffraction by an elastic wedge with stress-free boundary: existence and. Diffraction by an Immersed Elastic Wedge Minkšti viršeliai - Jean-Pierre Croisille, Gilles Lebeau. Atsiliepimai. Įvertinimų nėra. Įvertink ir tu. Įvertink ir tu. Visi atsiliepimai. Formatai: 37, J.-P. Croisille,Diffraction by an immersed wedge.

vol of Lecture notes in mathematics. Springer. Analysis of the correctness of the diffraction problem for angular domains. In, he has used this method to study the diffraction of a Rayleigh wave by an elastic wedge. In [13] he again used this method to consider the scattering of an SH-wave by a corner comprised of two different elastic materials (the analogy of the dielectric wedge problem in electromagnetic theory).

Croisille and Lebeau [1] have introduced a resolution method called the Spectral Functions method in the case of an immersed elastic wedge of angle less than π. Kamotski and Lebeau [2] have then proven existence and uniqueness of the solution derived from this method to the diffraction problem of stress-free wedges embedded in an elastic medium.Cite this chapter as: Croisille JP., Lebeau G.

() Numerical algorithm. In: Diffraction by an Immersed Elastic Wedge. Lecture Notes in Mathematics, vol Elastic wave diffraction by infinite wedges View the table of contents for this issue, or go to the journal homepage for more J. Phys.: Conf. Ser.