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

• Published in: Polymer bulletin (Berlin, Germany) Vol. 80; no. 6; pp. 6327 - 6347
• Main Authors: Rentería-Baltiérrez, F. Y., Reyes-Melo, M. E., Puente-Córdova, J. G., López-Walle, B.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2023; Springer Nature B.V
• Subjects: Calculus; Characterization and Evaluation of Materials; Chemistry; Chemistry and Materials Science; Complex Fluids and Microfluidics; Dielectric properties; Dynamic mechanical analysis; Electric properties; Electrical properties; Fractional calculus; Glass; Iron oxides; Molecular weight; Nanoparticles; Organic Chemistry; Original Paper; Physical Chemistry; Polymer films; Polymer Sciences; Polymers; Polyvinyl acetal resins; Polyvinyl alcohol; Polyvinyl butyral; Soft and Granular Matter; Temperature effects; Thermal analysis; Relaxation phenomena; Iron oxide nanoparticles; Polymer hybrid film; Fractional calculus; Polyvinyl butyral
• ISSN: 0170-0839; 1436-2449
• DOI: 10.1007/s00289-022-04365-1

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.