Mechanical investigations of local fractional magnetorheological elastomers model on Cantor sets

Yi-Ying Feng, Xiao-Jun Yang, Jian-Gen Liu and Zhan-Qing Chen

Physica A: Statistical Mechanics and its Applications, 2023, vol. 621, issue C

Abstract: The local fractional magnetorheological elastomers (MREs) model proposed in this work is extremely helpful in understanding how MREs behave mechanically when they exhibit nonlinear self-similarity on fractal sets. By replacing the integral order dashpot in the prestigious Li four parameter model to the local fractional dashpot, we put forward this novel and efficient model to analyze the stress response with constant strain, dynamic behavior under harmonic loads and complex modulus that consists of the storage modulus and the loss modulus of MREs, respectively. The adoption of the local fractional Laplace transform and the local fractional Fourier transform on Cantor sets are the underpinning to solve these non-differentiable problems. The local fractional MREs model is heuristically compared with the known Li model since the fractal MREs element is suitable for the description of the fractal magnetorheological effect with self-organizing phenomenon.

Keywords: Magnetorheological elastomers; Local fractional derivatives; Fractal self-similarity; Mechanical analysis (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:621:y:2023:i:c:s0378437123003448

DOI: 10.1016/j.physa.2023.128789

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