| Issue |
MATEC Web Conf.
Volume 132, 2017
XIII International Scientific-Technical Conference “Dynamic of Technical Systems” (DTS-2017)
|
|
|---|---|---|
| Article Number | 03017 | |
| Number of page(s) | 4 | |
| Section | Issues of mechanics of heterogeneous and composite materials | |
| DOI | https://doi.org/10.1051/matecconf/201713203017 | |
| Published online | 31 October 2017 | |
Maxwell Homogenization Scheme in Micromechanics: an Overview
Department of Mechanical and Aerospace Engineering, New Mexico State University, Las Cruces, NM 88003, USA France
* Corresponding author: igor@nmsu.edu
The paper discuss the classical Maxwell’s (1873) homogenization method and the problems appearing in its practical implications. The method equates the far fields produced by a set of inhomogeneities and by a fictitious domain with unknown effective properties. It is re-written in terms of the property contribution tensors. The shape of the effective inclusion substantially affects the overall elastic properties. The choice of this shape in the case of anisotropic composite is a non-trivial problem. Another problem is related to the possible appearance of artificial singularities in the process of homogenization. We illustrate the method by several examples.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.