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The Fractal Rheology Of Magnetorheological Elastomers Described Through The Modified Zener Model And The Cole–Cole Plot

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  • LUIS M. PALACIOS-PINEDA

    (Tecnológico Nacional de México/Instituto Tecnológico de Pachuca, Carr. México-Pachuca km 87.5, Pachuca, Hidalgo, C.P. 42080, México)

  • ALEX ELà AS-ZÚÑIGA

    (��Department of Mechanical Engineering and Advanced Materials, Institute of Advanced Materials for Sustainable Manufacturing, Tecnologico de Monterrey, Av. Eugenio Garza Sada Sur 2501, Monterrey 64849, Nuevo León, Mexico)

  • I. A. PERALES-MARTÃ NEZ

    (��Department of Mechanical Engineering and Advanced Materials, Institute of Advanced Materials for Sustainable Manufacturing, Tecnologico de Monterrey, Av. Eugenio Garza Sada Sur 2501, Monterrey 64849, Nuevo León, Mexico)

  • ÓSCAR MARTà NEZ-ROMERO

    (��Department of Mechanical Engineering and Advanced Materials, Institute of Advanced Materials for Sustainable Manufacturing, Tecnologico de Monterrey, Av. Eugenio Garza Sada Sur 2501, Monterrey 64849, Nuevo León, Mexico)

  • DANIEL OLVERA-TREJO

    (��Department of Mechanical Engineering and Advanced Materials, Institute of Advanced Materials for Sustainable Manufacturing, Tecnologico de Monterrey, Av. Eugenio Garza Sada Sur 2501, Monterrey 64849, Nuevo León, Mexico)

Abstract

The main objective of this study focuses on using, for the first time, the Cole–Cole semilogarithmic fractal plot to study the fractal rheological behavior of magnetorheological elastomer materials using the fractional Zener model. Experimental data and theoretical results show that the Cole–Cole semilogarithmic fractal plot predicts the Zener mathematical model’s material parameters. This paper elucidates the benefits of using Cole–Cole semilogarithmic fractal plots to accurately predict material rheological properties of composite elastomer reinforced with nano or microiron particles observed during experimental tests.

Suggested Citation

  • Luis M. Palacios-Pineda & Alex Elã As-Zãšã‘Iga & I. A. Perales-Martã Nez & ÓScar Martã Nez-Romero & Daniel Olvera-Trejo, 2024. "The Fractal Rheology Of Magnetorheological Elastomers Described Through The Modified Zener Model And The Cole–Cole Plot," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(05), pages 1-12.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:05:n:s0218348x24500877
    DOI: 10.1142/S0218348X24500877
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