Eur. Phys. J. Appl. Phys. (2016) 73: 10402
https://doi.org/10.1051/epjap/2015150367

Regular Article

Evaluation of electrical transverse conductivity of the unidirectional CFRP^*

¹ Université de Bordj Bou Arréridj, 34265 Bordj Bou Arréridj, Algeria
² IREENA-IUT, CRTT, 37 boulevard de l’Université, BP 406, 44602 Saint-Nazaire Cedex, France
³ Laboratoire LEC, Université Constantine 1, route Ain Elbey, 25000 Constantine, Algeria

^a e-mail: mohamed.khebbab@univ-nantes.fr

Received: 18 July 2015
Revised: 14 August 2015
Accepted: 23 November 2015
Published online: 13 January 2016

Abstract

In this paper, a technique for the calculation of the electrical transverse conductivity of unidirectional carbon fiber reinforced polymer (CFRP), based on Markov chains, is proposed. Inspired by the microscopic cross-sectional structure of CFRP, an electrical percolation system is constructed. The effective transverse conductivity is derived from an equivalent conductance of the percolation network. To achieve such a determination, a notion of escape probability associated to absorbing Markov chains is applied. The obtained results are compared with those given by percolation theory; and also with published experimental data. Our results are shown to be in good agreement with the references.