2024
DOI: 10.3390/math12193099
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Generalized Kelvin–Voigt Creep Model in Fractal Space–Time

Eduardo Reyes de Luna,
Andriy Kryvko,
Juan B. Pascual-Francisco
et al.

Abstract: In this paper, we study the creep phenomena for self-similar models of viscoelastic materials and derive a generalization of the Kelvin–Voigt model in the framework of fractal continuum calculus. Creep compliance for the Kelvin–Voigt model is extended to fractal manifolds through local fractal-continuum differential operators. Generalized fractal creep compliance is obtained, taking into account the intrinsic time τ and the fractal dimension of time-scale β. The model obtained is validated with experimental da… Show more

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