Title: Creep mechanical model of rock considering temperature effect

Authors: Guanglin Sun; Jiangchun Hu; Xiangyang Lu; Juncai Xu

Addresses: School of Architecture and Civil Engineering, Zhongyuan University of Technology, Zhengzhou, 450007, China ' School of Architecture and Civil Engineering, Zhongyuan University of Technology, Zhengzhou, 450007, China ' School of Architecture and Civil Engineering, Zhongyuan University of Technology, Zhengzhou, 450007, China ' Department of Civil Engineering, Case Western Reserve University, Cleveland, OH, 44106, USA

Abstract: The temperature has an essential influence on the mechanical properties of rock. The present paper proposes a novel creep model of rock, considering the temperature. The model explicated consists of three units: an improved Kelvin unit, an improved Maxwell unit, and an improved ideal viscoplastic unit. Based on the new model, the visco-elastic-plastic constitutive equation of rock with temperature effects is derived. When the temperature change is constant and the stress is stable, the creep equation of the system can be explicitly derived. By solving the equation with constant coefficients, the expression of rock strain is obtained. From the rock strain expression, it is demonstrated that the strain of rock is composed of a function of time and an exponential function.

Keywords: rock; temperature; mechanical model; constitutive model; visco-elastic-plastic constitutive equation.

DOI: 10.1504/IJCSM.2023.135044

International Journal of Computing Science and Mathematics, 2023 Vol.18 No.4, pp.326 - 339

Accepted: 08 Mar 2023
Published online: 28 Nov 2023 *

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