Effective coefficients of isotropic complex dielectric composites in a hexagonal array

Yañez-Olmos, D., Bravo-Castillero, J., Ramírez-Torres, A. , Rodríguez-Ramos, R. and Sabina, F. J. (2019) Effective coefficients of isotropic complex dielectric composites in a hexagonal array. Technische Mechanik, 39(2), pp. 220-228. (doi: 10.24352/UB.OVGU-2019-020)

Abstract

Based on the asymptotic homogenization method, the local problems related to two-phase periodic fibrous dielectric composites with isotropic and complex constituents are solved. A hexagonal periodicity distribution of the fibers is considered. Explicit formulas for the real and imaginary parts of the effective dielectric properties are derived. Such formulas can be computed for any desired precision related to a truncation order of an infinite system of algebraic linear equations. Two simple analytical expressions are specified for the first two truncation orders. Comparisons with results via other approachess how a good concordance. Hexagonal periodic lattices of acoustic scatterers are useful structures for acoustic applications.

• Item Type: Articles
• Additional Information: This work was supported by the project PAPIIT-DGAPA-UNAM IA100919. RRR would like to thank MyM-IIMAS-UNAM and PREI-DGAPA-UNAM for financial support.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Ramirez Torres, Dr Ariel
• Authors: Yañez-Olmos, D., Bravo-Castillero, J., Ramírez-Torres, A., Rodríguez-Ramos, R., and Sabina, F. J.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Technische Mechanik
• ISSN: 0232-3869
• ISSN (Online): 2199-9244
• Published Online: 11 April 2019
• Copyright Holders: Copyright © 2019 Technische Mechanik
• First Published: First published in Technische Mechanik 39(2): 220-228
• Publisher Policy: Reproduced under a Creative Commons License