Bloch waves for a solid-fluid mixture

Nicole Turbé

Annales de la Faculté des sciences de Toulouse : Mathématiques (1984)

  • Volume: 6, Issue: 2, page 87-101
  • ISSN: 0240-2963

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Turbé, Nicole. "Bloch waves for a solid-fluid mixture." Annales de la Faculté des sciences de Toulouse : Mathématiques 6.2 (1984): 87-101. <http://eudml.org/doc/73162>.

@article{Turbé1984,
author = {Turbé, Nicole},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {vibrations of unbounded, periodic, mixture of elastic solid and viscous compressible fluid; equations of motion; expansion in terms of Bloch waves; approximations; connection with homogeneization theory},
language = {eng},
number = {2},
pages = {87-101},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Bloch waves for a solid-fluid mixture},
url = {http://eudml.org/doc/73162},
volume = {6},
year = {1984},
}

TY - JOUR
AU - Turbé, Nicole
TI - Bloch waves for a solid-fluid mixture
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1984
PB - UNIVERSITE PAUL SABATIER
VL - 6
IS - 2
SP - 87
EP - 101
LA - eng
KW - vibrations of unbounded, periodic, mixture of elastic solid and viscous compressible fluid; equations of motion; expansion in terms of Bloch waves; approximations; connection with homogeneization theory
UR - http://eudml.org/doc/73162
ER -

References

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  1. [1] J.D. Achenbach. «Waves and vibrations in directionally reinforced composites». Composite materials, vol. 2, Mechanics of composite materials L.J. Broutman, R.M. Kroch (ed.). Academic Press, New-York (1975), pp. 309-351. 
  2. [2] A. Bensoussan, J.L. Lions, G. Papanicolaou. «Asymptotic analysis for periodic structures». North-Holland, Amsterdam (1978). Zbl0404.35001MR503330
  3. [3] T.J. Delph, G. Herrmann, R.K. Kaul. «Harmonic wave propagation in a periodically layered, infinite elastic body, antiplane strain». J. Appl. Mech., 45 (1978), pp. 343-349. 
  4. [4] J. Sanchez-Hubert. «Asymptotic study of the macroscopic behaviour of a solidfluid mixture». Math. Meth. Appl. Sci., 2 (1980) pp. 1-11. Zbl0427.73025MR561374
  5. [5] E. Sanchez-Palencia. «Non-homogeneous media and vibration theory». Springer, Berlin (1980). Zbl0432.70002
  6. [6] C.T. Sun, J.D. Achenbach, G. Herrmann. «Continuum theory foralaminated medium». J. Appl. Mech.35 (1968), pp. 467-473. Zbl0177.54303
  7. [7] C. Sve. «Time harmonic waves traveling obliquely in a periodically laminated medium». J. Appl. Mech.38 (1971), pp. 477-482. 
  8. [8] N. Turbe. «Applications of Bloch expansion to periodic elastic and viscoelastic media». Math. Meth. Appl. Sci.4 (1982) pp. 433-449. Zbl0495.73014MR669137
  9. [9] N. Turbe. Thèse de Doctorat, Université Pierre et Marie Curie (1982). 
  10. [10] N. Turbe. Communication colloque du Groupe Français de Rhéologie (1982). 
  11. [11] C.H. Wilcox. «Theory of Bloch waves». J. Anal. Math.33 (1978) pp. 146-167. Zbl0408.35067MR516045

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