Study on Time-Dependent Behavior of Granite and the Creep Model Based on Fractional Derivative Approach Considering Temperature. (14th February 2016)

• Record Type: Journal Article
• Authors: He, Zhilei; Zhu, Zhende; Wu, Nan; Wang, Zhen; Cheng, Shi
• Other Names: Caponetto Riccardo Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2016(2016)
• Publication Date: 2016-02-14
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2016/8572040
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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 exponentm . 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.