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Application of fractional calculus in the mechanical and dielectric correlation model of hybrid polymer films with different average molecular weight matrices

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Abstract

This research connects the mechanical and dielectric responses of three samples of hybrid polymer films composed of iron oxide nanoparticles and polyvinyl butyral (PVB) matrices with different average molecular weight. The mechanical responses were analyzed by dynamic mechanical analysis and the electrical responses by dynamic dielectric analysis, and they were interpreted by two fractional models, the Mechanical and the Dielectric Fractional Model. Correlation between mechanical and dielectric responses was determined for hybrid films. The comparison between fractional model parameters reveals that PVB matrix, with different average molecular weight, combined with the same nominal concentration of Fe-ions precursor, produces higher molecular mobility when average molecular weight is higher, and for the three samples, studied molecular mobility is higher for the dielectric manifestation of α-relaxation than the mechanic response. These results contribute in an important way to a better understanding of the molecular mobility of these materials where the possible applications require a certain compromise between the mechanical and electrical properties.

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Acknowledgements

In memory of Dr. Martín Edgar Reyes Melo. Some people leave footprints on our lives... We will keep you in our hearts and minds.

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Authors and Affiliations

  1. Facultad de Ciencias Químicas, Universidad Autónoma de Nuevo León, Avenida Universidad S/N Cd. Universitaria, San Nicolás de los Garza, Nuevo León, 66455, México

    F. Y. Rentería-Baltiérrez

  2. UANL-FIME, Programa Doctoral en Ingeniería de Materiales, Universitaria San Nicolás de los Garza, Avenida Universidad S/N Cd., San Nicolás de los Garza, Nuevo León, 66455, México

    M. E. Reyes-Melo, J. G. Puente-Córdova & B. López-Walle

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  1. F. Y. Rentería-Baltiérrez
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  2. M. E. Reyes-Melo
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  3. J. G. Puente-Córdova
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  4. B. López-Walle
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Correspondence to F. Y. Rentería-Baltiérrez.

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Deceased: M. E. Reyes-Melo on 01 March 2022.

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Rentería-Baltiérrez, F.Y., Reyes-Melo, M.E., Puente-Córdova, J.G. et al. Application of fractional calculus in the mechanical and dielectric correlation model of hybrid polymer films with different average molecular weight matrices. Polym. Bull. 80, 6327–6347 (2023). https://doi.org/10.1007/s00289-022-04365-1

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  • DOI: https://doi.org/10.1007/s00289-022-04365-1

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