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 (Formula presented.) and the fractal dimension of time-scale (Formula presented.). The model obtained is validated with experimental data obtained for resin samples with the fractal structure of a Sierpinski carpet and experimental data on rock salt. Comparisons of the model predictions with the experimental data are presented as the curves of slow continuous deformations. © 2024 by the authors.