| Issue |
Mechanics & Industry
Volume 16, Number 1, 2015
|
|
|---|---|---|
| Article Number | 101 | |
| Number of page(s) | 4 | |
| DOI | https://doi.org/10.1051/meca/2014084 | |
| Published online | 22 January 2015 | |
Covariant gradient continua: wave propagation within heterogeneous material
Institut de Recherche Mathématiques de Rennes,
Université de Rennes 1, Campus
Beaulieu, 35042
Rennes,
France
a Corresponding author:
gregory.futhazar@gmail.com
Received:
17
June
2013
Accepted:
22
April
2014
Riemann-Cartan geometry is used to model continuum with defects. In order to illustrate the differences induced by two possible definitions for the strain (spatial or material) in this framework, propagation of 3D waves is studied for a simple example of infinite continuum with uniform and stationary defects density. Anisotropy and attenuation are caught by both models even if these effects are quite different. Furthermore the material strain induces chirality and uniform breathing mode.
Key words: Gradient continuum / strain / heterogeneous wave propagation / dislocation
© AFM, EDP Sciences 2015
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