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MODELLING OF RELAXATION PHENOMENA IN ORGANIC DIELECTRIC MATERIALS. APPLICATION OF DIFFERENTIAL AND INTEGRAL OPERATORS OF FRACTIONAL ORDER

M. E. Reyes-Melo1,* , J. J. Martinez-Vega1, C. A. Guerrero-Salazar2, U. Ortiz-Mendez2

Affiliation

  1. Université Paul Sabatier de Toulouse, Laboratoire de Génie Electrique (CNRS-UMR 5003), 118 Route de Narbonne, 31062, Toulouse Cedex France
  2. Universidad Autónoma de Nuevo León, Doctorado en Ingeniería de Materiales, Pedro de Alba s/n, Cd. Universitaria, San Nicolás de los Garza, N.L., 66450, México

Abstract

In this work we have used differential and integral operators of fractional order (between 0 and 1) for modelling the real and imaginary parts of E* and er* considering the three more important relaxation phenomena in semi-crystalline polymers. To justify the validity of the proposed models we have used measurements of E* and er* under isochronal conditions of a semi-crystalline specimen of PEN in a broad temperature range..

Keywords

Relaxation phenomena, Polymers, Fractional calculus.

Submitted at: April 19, 2004
Accepted at: June 22, 2004

Citation

M. E. Reyes-Melo, J. J. Martinez-Vega, C. A. Guerrero-Salazar, U. Ortiz-Mendez, MODELLING OF RELAXATION PHENOMENA IN ORGANIC DIELECTRIC MATERIALS. APPLICATION OF DIFFERENTIAL AND INTEGRAL OPERATORS OF FRACTIONAL ORDER, Journal of Optoelectronics and Advanced Materials Vol. 6, Iss. 3, pp. 1037-1043 (2004)