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Mathematical Problems in Engineering
Volume 2016 (2016), Article ID 8572040, 10 pages
Research Article

Study on Time-Dependent Behavior of Granite and the Creep Model Based on Fractional Derivative Approach Considering Temperature

Zhilei He,1,2 Zhende Zhu,1,2 Nan Wu,1,2 Zhen Wang,1,2 and Shi Cheng1,2

1Geotechnical Engineering Research Institute of Hohai University, Nanjing, Jiangsu 210098, China
2Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing, Jiangsu 210098, China

Received 19 October 2015; Accepted 17 January 2016

Academic Editor: Riccardo Caponetto

Copyright © 2016 Zhilei He et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Based on mineral components and the creep experimental studies of Three Gorges granite and Beishan granite from different regions of China at various temperatures, the strength and creep property of two types of granites are compared and analyzed. Considering the damage evolution process, a new creep constitutive model is proposed to describe the creep property of granite at different temperatures based on fractional derivative. The parameters of the new creep model are determined on the basis of the experimental results of the two granites. In addition, a sensitivity study is carried out, showing effects of stress level, fractional derivative order, and the exponent . The results indicate that the proposed creep model can describe the three creep stages of granite at different temperatures and contribute to further research on the creep property of granite.