期刊
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
卷 76, 期 -, 页码 20-28出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijnonlinmec.2015.05.004
关键词
Fractional derivative; Visco-elastic-plastic behavior; Accelerating creep deformation; Damage effect; Coal
类别
资金
- National Natural Science Foundation of China [11402293]
- China Postdoctoral Science Foundation [2014M560458]
- Fundamental Research Funds for the Central Universities [2014QNA03]
- Program for Changjiang Scholars and Innovative Research Team in University [IRT13098]
- Jiangsu Innovation and Entrepreneurship Program
- Priority Academic Program Development of Jiangsu Higher Education Institutions
- Qing Lan Project of Jiangsu Province
Accurate prediction of coals creep behavior is of great significance to coalbed methane extraction. In this study, taking into account the visco-elastic-plastic characteristics and the damage effect, a fractional non-linear model is proposed to describe the creep behavior of coal. The constitutive and creep equations of the proposed fractional non-linear model are derived via the Boltzmann superposition principle and discrete inverse Laplace transform. Furthermore, uniaxial creep tests under different axial stress conditions were carried out to validate the proposed model. It is found that the present model can describe the experimental data from creep tests with better accuracy than classical models. Particularly, the present model can predict the accelerating creep deformation of coal which classical models fail to reproduce. Finally, the parametric sensitivity analysis is performed to investigate the effects of model parameters on the creep strain. It is verified that the introduction of fractional parameters and damage factor in the present model is essential to accurate prediction of the full creep stage of coal. (C) 2015 Elsevier Ltd. All rights reserved.
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