[Phononic band gaps in linearized elasticity]
In this Note we rigorously justify the existence of elastic band gaps in three-dimensional periodic composite materials with strong heterogeneities. In particular, we show how to compute these bands.
Dans cette Note on justifie rigoureusement l'existence des bandes élastiques interdites dans des matériaux composites périodiques présentant de fortes hétérogénéités. On donne en particulier la méthode qui permet de calculer ces bandes.
Accepted:
Published online:
Andrès Ávila 1; Georges Griso 2; Bernadette Miara 3
@article{CRMATH_2005__340_12_933_0, author = {Andr\`es \'Avila and Georges Griso and Bernadette Miara}, title = {Bandes phononiques interdites en \'elasticit\'e lin\'earis\'ee}, journal = {Comptes Rendus. Math\'ematique}, pages = {933--938}, publisher = {Elsevier}, volume = {340}, number = {12}, year = {2005}, doi = {10.1016/j.crma.2005.04.026}, language = {fr}, }
Andrès Ávila; Georges Griso; Bernadette Miara. Bandes phononiques interdites en élasticité linéarisée. Comptes Rendus. Mathématique, Volume 340 (2005) no. 12, pp. 933-938. doi : 10.1016/j.crma.2005.04.026. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.04.026/
[1] Homogenization near resonances and artificial magnetism from dielectrics, C. R. Acad. Sci. Paris, Ser. I, Volume 339 (2004), pp. 377-382
[2] Periodic unfolding and homogenization, C. R. Acad. Sci. Paris, Ser. I, Volume 335 (2002), pp. 99-104
[3] Experimental evidence for the existence of absolute acoustic band gaps in two-dimensional periodic composite media, J. Phys. Condens. Matter, Volume 10 (1998), pp. 6051-6064
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