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.
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@article{CRMATH_2005__340_12_933_0, author = {\'Avila, Andr\`es and Griso, Georges and Miara, Bernadette}, 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}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2005.04.026/} }
TY - JOUR AU - Ávila, Andrès AU - Griso, Georges AU - Miara, Bernadette TI - Bandes phononiques interdites en élasticité linéarisée JO - Comptes Rendus. Mathématique PY - 2005 SP - 933 EP - 938 VL - 340 IS - 12 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2005.04.026/ DO - 10.1016/j.crma.2005.04.026 LA - fr ID - CRMATH_2005__340_12_933_0 ER -
%0 Journal Article %A Ávila, Andrès %A Griso, Georges %A Miara, Bernadette %T Bandes phononiques interdites en élasticité linéarisée %J Comptes Rendus. Mathématique %D 2005 %P 933-938 %V 340 %N 12 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2005.04.026/ %R 10.1016/j.crma.2005.04.026 %G fr %F CRMATH_2005__340_12_933_0
Ávila, Andrès; Griso, Georges; Miara, Bernadette. 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. http://archive.numdam.org/articles/10.1016/j.crma.2005.04.026/
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