 |
 |
|
|
| HAL: hal-00121680, version 1 |
| Detailed view |  Export this paper |
 |
|
|
| Multi-scale modelling of elastic waves. Theoretical justification and numerical simulation of band gaps |
|
|
| A. Avila 1Georges Griso 2 |
|
|
| (2006-12-21) |
|
|
|
| We consider a three-dimensional composite material made of small inclusions periodically embedded in an elastic matrix. The whole structure presents strong heterogeneities between its different components. In the general framework of linearized elasticity we show that, when the size of the microstructures tends to zero, the limit homogeneous structure presents, for some wavelengths, a negative mass density tensor. Hence we are able to rigorously justify the existence of forbidden bands, i.e., intervals of frequencies in which there is no propagation of elastic waves. In particular, we show how to compute these band gaps and we illustrate the theoretical results with some numerical simulations. |
|
|
|
|
|
|
|
|
|
|
|
| 1: | Universidad de la frontera |
|
|
|
Universidad de la Frontera |
|
|
| 2: | Laboratoire Jacques-Louis Lions (LJLL) |
|
|
|
CNRS : UMR7598 – Université Pierre et Marie Curie [UPMC] - Paris VI |
|
|
| 3: | Modélisation et Simulation Numérique (MOSIM) |
|
|
|
École Supérieure d'Ingénieurs en Électronique et Électrotechnique |
|
|
| 4: | Department of mechanics |
|
|
|
University of West Bohemia |
|
|
|
|
|
|
|
|
|
| Subject | : | Mathematics/Numerical Analysis |
|
|
| Attached file list to this document: | |||||
|
|||||
|
|
|
| hal-00121680, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00121680 | |
| oai:hal.archives-ouvertes.fr:hal-00121680 | |
| From: Pascal Joly | |
| Submitted on: Thursday, 21 December 2006 15:26:26 | |
| Updated on: Thursday, 21 December 2006 16:15:32 | |
