Nouvelles propriétés des courbes et relations de dispersion en élasticité linéaire

Tark Bouhennache; Yves Dermenjian

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1999)

  • Volume: 33, Issue: 5, page 1071-1090
  • ISSN: 0764-583X

How to cite

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Bouhennache, Tark, and Dermenjian, Yves. "Nouvelles propriétés des courbes et relations de dispersion en élasticité linéaire." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 33.5 (1999): 1071-1090. <http://eudml.org/doc/193955>.

@article{Bouhennache1999,
author = {Bouhennache, Tark, Dermenjian, Yves},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {elastic strip; dispersion curves; non-monotonicity; eigenvalues; multiplicity; Fourier transform; dispersion relation},
language = {fre},
number = {5},
pages = {1071-1090},
publisher = {Dunod},
title = {Nouvelles propriétés des courbes et relations de dispersion en élasticité linéaire},
url = {http://eudml.org/doc/193955},
volume = {33},
year = {1999},
}

TY - JOUR
AU - Bouhennache, Tark
AU - Dermenjian, Yves
TI - Nouvelles propriétés des courbes et relations de dispersion en élasticité linéaire
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1999
PB - Dunod
VL - 33
IS - 5
SP - 1071
EP - 1090
LA - fre
KW - elastic strip; dispersion curves; non-monotonicity; eigenvalues; multiplicity; Fourier transform; dispersion relation
UR - http://eudml.org/doc/193955
ER -

References

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  1. [1] J.D. Achenbach, Wave propagation in elastic solids. North Holland (1973). Zbl0268.73005
  2. [2] A. Bamberger, Y. Dermenjian et P. Joly, Mathematical analysis of the propagation of elastic guided waves in heterogeneous media. J. Differential Equations 88 (1990) 113-154. Zbl0714.35045MR1079862
  3. [3] T. Bouhennache, Analyse spectrale d'une bande élastique isotrope stratifiée et applications. C.R. Acad. Sci. Sér. 7 326 (1998) 641-644. Zbl0914.73027MR1649373
  4. [4] T. Bouhennache, Spectral analysis of an isotropic stratified elastic strip and applications. Osaka J. Math, (à paraître). Zbl0995.74009MR1789438
  5. [5] T. Bouhennache, Étude d'une bande élastique multistratifiée: étude spectrale et principe d'absorption limite. Thèse de doctorat, Université de Provence (1997). 
  6. [6] E.A. Coddington et N. Levinson, Theory of ordinary differential equations. Int. Series in Pure and Appl. Math.. McGraw-Hill Book Company (1955). Zbl0064.33002MR69338
  7. [7] E. Croc et Y. Dermenjian, Analyse spectrale d'une bande acoustique multistratifiée : Principe d'absorption limite pour une stratification simple. SIAM J. Math. Anal 26 (1995) 880-924. Zbl0828.35083MR1338367
  8. [8] L. Hörmander, The Analysis of Linear Partial Differential Operators, IL Springer-Verlag (1983). Zbl0712.35001MR717035
  9. [9] T. Kato, Perturbation theory for linear operators. Classics in Mathematics, Springer-Verlag (1995). Zbl0836.47009MR1335452
  10. [10] S. Lang, Analyse réelle. InterEditions (1977). 
  11. [11] B. Malgrange, Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution. Ann. Inst. Fourier (Grenoble) 6 (1955-56) 271-355. Zbl0071.09002MR86990
  12. [12] R. Skalak. J. Appl Mech. 24 (1957) 59. Zbl0077.38502MR88904

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