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- Publisher
- Springer Journals
- Copyright
- Copyright © The Author(s), under exclusive licence to Springer Nature B.V. 2022
- ISSN
- 1385-2000
- eISSN
- 1573-2738
- DOI
- 10.1007/s11043-022-09547-y
- Publisher site
- See Article on Publisher Site
Abstract
The creep recovery behavior of rock materials induced by multiple loading and unloading is usual in the underground engineering, how to characterize the creep and creep behavior is of great significance for revealing deformation mechanisms of loading/unloading creep and creep recovery. In this study, based on Caputo variable-order fractional derivative and Koeller dashpot, a modified variable-order fractional generalized Kelvin creep model is presented by utilizing the Caputo variable-order fractional Koeller dashpot to replace the infinite Kelvin models. Then, considering the effect of relaxation time, a novel Caputo variable-order fractional creep recovery model is constructed by employing Boltzmann superposition method. By using the finite difference method and varying-order function related to relaxation time, the validation of the proposed Caputo variable-order fractional creep recovery model is verified based on experimental data from sandstone. The superiority of the constructed creep recovery model is highlighted by comparing it with the current Maxwell model and Findley model, and the variation rules of fitting mechanical parameters under various stress conditions are analyzed, which will provide further reference in description of creep/creep recovery behavior of materials.
Journal
Mechanics of Time-Dependent Materials – Springer Journals
Published: Jun 1, 2023
Keywords: Creep recovery behavior; Variable-order fractional derivative; Finite difference method; Creep recovery model; Model validation and analysis