THE FRACTAL RHEOLOGY OF MAGNETORHEOLOGICAL ELASTOMERS DESCRIBED THROUGH THE MODIFIED ZENER MODEL AND THE COLE–COLE PLOT

Luis M. Palacios-Pineda, ELà AS-ZÚÑIGA Alex, I. A. Perales-Martã Nez, Óscar Martã Nez-Romero and Daniel Olvera-Trejo
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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
ELà AS-ZÚÑIGA Alex: ��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 Martã 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

FRACTALS (fractals), 2024, vol. 32, issue 05, 1-12

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.

Keywords: Cole–Cole Diagram; Zener Model; Magnetorheological Elastomer; Molecular Mobility; Fractal Rheology (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:32:y:2024:i:05:n:s0218348x24500877

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DOI: 10.1142/S0218348X24500877

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