THERMAL SCIENCE
International Scientific Journal
A NON-LINEAR CREEP CONSTITUTIVE MODEL FOR SALT ROCK BASED ON FRACTIONAL DERIVATIVES
ABSTRACT
The creep property of the salt rock is an important determinant of deep underground repository of energy storage for long-term operatio. Starting from fractional derivative, this paper proposes a new concept of super Abel dashpot based on Abel dashpot. According to the Nishihara model, the non-linear element of super Abel dashpot is introduced, and a new salt rock creep constitutive model is established. The theoretical analytic solution of this model is then deduced. Fitting analysis of the experimental data indicates that the model can well reflect the whole-process creep curve, especially the non-linear accelerated creep stage.
KEYWORDS
PAPER SUBMITTED: 2018-05-10
PAPER REVISED: 2018-12-25
PAPER ACCEPTED: 2019-01-25
PUBLISHED ONLINE: 2019-03-31
THERMAL SCIENCE YEAR
2019, VOLUME
23, ISSUE
Supplement 3, PAGES [S773 - S779]
- Xie H. P., et al., Fractal property of spatial distribution of acoustic emissions during the failure process of bedded rock salt, International Journal of Rock Mechanics and Mining Sciences, 48(2011), 8, pp.1344-1351
- Wang Y.X., et al., Behavior and modeling of fiber-reinforced clay under triaxial compression by combining the superposition method with the energy-based homogenization technique, International Journal of Geomechanics, 18(2018), 12, 04018172.
- Wu F., et al., A nonlinear creep damage model for salt rock,International Journal of Damage Mechanics, 2018, pp.1-14, DOI: 10.1177/1056789518792649
- Zhou H. W., et al., A fractional derivative approach to full creep regions in salt rock, Mechanics of Time-Dependent Materials, 17(2013), 3, pp.413-425
- Yang C. H., et al., Experimental investigation of creep behavior of salt rock, International Journal of Rock Mechanics and Mining Sciences, 36(1999), 2, pp.233-242
- Wang G. J., A new constitutive creep-damage model for rock and its characteristic, International Journal of Rock Mechanics and Mining Sciences, 41(2004), Suppl.1, pp.61-67
- Chan K.S., et al., A damage mechanics treatment of creep failure in rock salt, International Journal of Damage Mechanics, 6(1997), 2, pp.121-152
- Yang, X. J., et al., New rheological problems involving general fractional derivatives with nonsingular power-law kernels, Proceedings of the Proceedings of the Romanian Academy Series A-Mathematics Physics Technical Sciences Information Science,19(2018), 1, pp. 45-52
- Yang, X. J., et al., New general fractional-order rheological models with kernels of Mittag-Leffler functions, Romanian Reports in Physics,69( 2017), 2, 1-15
- Zhou H.W., et al., A creep constitutive model for salt rock based on fractional derivatives, International Journal of Rock Mechanics and Mining Sciences, 48(2011), 1, pp.116-121