Ondes élastiques dans une bande périodique

Jacqueline Sanchez-Hubert; Nicole Turbe

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1986)

  • Volume: 20, Issue: 3, page 539-561
  • ISSN: 0764-583X

How to cite

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Sanchez-Hubert, Jacqueline, and Turbe, Nicole. "Ondes élastiques dans une bande périodique." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 20.3 (1986): 539-561. <http://eudml.org/doc/193490>.

@article{Sanchez1986,
author = {Sanchez-Hubert, Jacqueline, Turbe, Nicole},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {SH waves; elastic periodic band; generalized eigenfunctions; Block waves; asymptotic behaviour; spectral families; elongated domains; infinite parallel strip},
language = {fre},
number = {3},
pages = {539-561},
publisher = {Dunod},
title = {Ondes élastiques dans une bande périodique},
url = {http://eudml.org/doc/193490},
volume = {20},
year = {1986},
}

TY - JOUR
AU - Sanchez-Hubert, Jacqueline
AU - Turbe, Nicole
TI - Ondes élastiques dans une bande périodique
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1986
PB - Dunod
VL - 20
IS - 3
SP - 539
EP - 561
LA - fre
KW - SH waves; elastic periodic band; generalized eigenfunctions; Block waves; asymptotic behaviour; spectral families; elongated domains; infinite parallel strip
UR - http://eudml.org/doc/193490
ER -

References

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  2. [2] A BENSOUSSAN, J L LIONS, G PAPANICOLAOU, Asymptotic analysis for periodic structures, North-Holland, Amsterdam (1978) Zbl0404.35001MR503330
  3. [3] G HERRMANN, R K KAUL, T J DELPH, On continuous modeling of the dynamic behaviour of layered composites, Arch Mech , 28 (1976), p 505-521 
  4. [4] T KATO, Perturbation theory for linear operators, Springer, Berlin (1966) Zbl0148.12601
  5. [5] E H LEE, W H YANG, On waves in composite materials with periodic structure, SIAM Jour Appl Math 25 (1973), p 492-499 Zbl0273.73012MR323208
  6. [6] M LOBO-HIDALGO, E SANCHEZ-PALENCIA, Sur certaines proprietes spectrales des perturbations du domaine dans les problemes aux limites Comm Part Diff Eq 4 (19791979), p 1085-1098 Zbl0422.35065MR544883
  7. [7] J, Les methodes directes en theorie des equations elliptiques, Masson Academia, Paris Prague (1967) MR227584
  8. [8] C N ROBINSON, G N LEPPELMEIER, Experimental verification of dispersion relations for layered composites, Jour Appl Mech, 41 (1974), p 89-91 
  9. [9] J SANCHEZ-HUBERT, N TUBE, Proprietes spectrales des ondes élastiques dans un domaine allonge convergeant vers une bande periodique C R A S , 299 ser II (1984), p 1105-1108 Zbl0573.73030MR880580
  10. [10] E SANCHEZ-PALENCIA, Non homogeneous media and vibration theory, Springer, Berlin (1980) Zbl0432.70002
  11. [11] N TURBE, Applications of Bloch expansion to periodic elastic and visco-elastic media, Math Meth Appl Sc , 4 (1982), p 433-445 Zbl0495.73014MR669137
  12. [12] N TURBE, Bloch waves for a solid-fluid mixture, Ann Fac Sc Toulouse (1984) Zbl0542.73063MR784851
  13. [13] C WILCOX, Scattering theory for diffraction gratings, Springer, New York (1984) Zbl0541.76001MR725334

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