Study on Probabilistic Damage Constitutive Relation of Rocks Based on Maximum-Entropy Theory
Publication: International Journal of Geomechanics
Volume 20, Issue 2
Abstract
The Weibull-distribution–based probabilistic damage model is widely used to represent the mesoscopic strength distribution of rock. However, it is unable to adequately describe the entire rock failure process. In this paper, based on the maximum entropy theory, a new probabilistic damage model is proposed to characterize the entire rock failure process. The reasonableness of this new model was verified against experimental data. The physical meaning of entropy, which is used to describe rock failure, was analyzed using the statistical method. It is demonstrated that when entropy is used to build the probabilistic damage model, an increase in the entropy corresponds to an increase in the rock damage, and the maximum entropy corresponds to the maximum probability of damage occurring. Thus, it is reasonable to use the maximum entropy to establish a probabilistic damage model. Finally, the effects of the constraint conditions on this maximum-entropy-based model are discussed.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request, including experimental data of granite, sandstone, and marble.
Acknowledgments
This work was supported by National Natural Science Foundation of China (Grant No. 51621006), the State Key Research Development Program of China (Grant No. 2017YFC0804203), and Key Research Program of Frontier Sciences, Chinese Academy of Sciences (Grant No. QYZDB-SSW-DQC029).
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Published In
International Journal of Geomechanics
Volume 20 • Issue 2 • February 2020
Copyright
©2019 American Society of Civil Engineers.
History
Received: Jan 30, 2019
Accepted: Jul 11, 2019
Published online: Nov 28, 2019
Published in print: Feb 1, 2020
Discussion open until: Apr 28, 2020
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