Abstract
Axial strain–time curves for a marble sample were obtained by performing uniaxial compression tests with step loading. Axial strain rate–time data points were then obtained from the axial strain–time curves. One power function and one exponential function were selected from the literature to fit the experimental creep data. Based on the characteristics of the plotted axial strain rate-time data points, one power function and one exponential function were proposed as possible functions to model the creep data. By comparing the goodness-of-fit of the aforementioned four functions through regression analysis, it was found that the two exponential functions fit the experimental creep data better than the two power functions. The two exponential functions showed very close goodness-of-fit levels on the experimental data. The proposed exponential function has only two parameters compared to that of the exponential function in the literature which has four parameters. Therefore, the proposed exponential function is selected as the creep model of marble. This model is also related to a built-up combined spring-dashpot model known as the generalized Kelvin model. The model parameter values of the generalized Kelvin model are then calculated by the parameter relations that exist between the generalized Kelvin model and the proposed exponential function.
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Acknowledgments
This research was supported by the National Natural Science Foundation of China through Grant number 41102176, the Special Fund for Basic Scientific Research of Central Colleges, Chang’an University through Grant number 2013G1261056, and the Key Laboratory of West Mineral Resources and Geotechnical Engineering of Ministry of Education, Chang’an University, in China. The first author is grateful to the Chinese Scholarship Council for providing a scholarship to conduct part of the reported research as a Visiting Research Scholar at the University of Arizona.
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Chen, W., Kulatilake, P.H.S.W. Creep Behavior Modeling of a Marble Under Uniaxial Compression. Geotech Geol Eng 33, 1183–1191 (2015). https://doi.org/10.1007/s10706-015-9894-4
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DOI: https://doi.org/10.1007/s10706-015-9894-4