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Nonlinear creep model based on shear creep test of granite

  • Hu, Bin (School of Resources and Environmental Engineering, Wuhan University of Science and Technology) ;
  • Wei, Er-Jian (School of Resources and Environmental Engineering, Wuhan University of Science and Technology) ;
  • Li, Jing (School of Resources and Environmental Engineering, Wuhan University of Science and Technology) ;
  • Zhu, Xin (School of Resources and Environmental Engineering, Wuhan University of Science and Technology) ;
  • Tian, Kun-Yun (School of Resources and Safety Engineering, Henan University of Engineering) ;
  • Cui, Kai (School of Resources and Environmental Engineering, Wuhan University of Science and Technology)
  • Received : 2021.03.04
  • Accepted : 2021.11.10
  • Published : 2021.12.10

Abstract

The creep characteristics of rock is of great significance for the study of long-term stability of engineering, so it is necessary to carry out indoor creep test and creep model of rock. First of all, in different water-bearing state and different positive pressure conditions, the granite is graded loaded to conduct indoor shear creep test. Through the test, the shear creep characteristics of granite are obtained. According to the test results, the stress-strain isochronous curve is obtained, and then the long-term strength of granite under different conditions is determined. Then, the fractional-order calculus software element is introduced, and it is connected in series with the spring element and the nonlinear viscoplastic body considering the creep acceleration start time to form a nonlinear viscoplastic creep model with fewer elements and fewer parameters. Finally, based on the shear creep test data of granite, using the nonlinear curve fitting of Origin software and Levenberg-Marquardt optimization algorithm, the parameter fitting and comparative analysis of the nonlinear creep model are carried out. The results show that the test data and the model curve have a high degree of fitting, which further explains the rationality and applicability of the established nonlinear visco-elastoplastic creep model. The research in this paper can provide certain reference significance and reference value for the study of nonlinear creep model of rock in the future.

Keywords

Acknowledgement

The research described in this paper was financially supported by the National Natural Science Foundation of China under Grant U1802243 and Grant 41672317, in part by the Hubei Province Technical Innovation Special (major projects) Project under Grant 2017ACA184, in part by the Major Science and Technology Projects of WUST Cultivate Innovation Teams under Grant 2018TDX01, and in part by the Program for Innovative Research Team (in Science and Technology) in University of Henan Province under Grant 22IRTSTHN009.

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