Automated design of a new integrated intelligent computing paradigm for constructing a constitutive model applicable to
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ORIGINAL ARTICLE
Automated design of a new integrated intelligent computing paradigm for constructing a constitutive model applicable to predicting rock fractures Kang Peng1,2 · Menad Nait Amar3 · Hocine Ouaer4 · Mohammad Reza Motahari5 · Mahdi Hasanipanah6 Received: 8 August 2020 / Accepted: 5 September 2020 © Springer-Verlag London Ltd., part of Springer Nature 2020
Abstract Making a relation between strains and stresses is an important subject in the rock engineering field. Shear behaviors of rock fractures have been extensively investigated by different researchers. Literature mostly consists of constitutive models in the form of empirical functions that represent experimental data using mathematical regression techniques. As an alternative, this study aims to present a new integrated intelligent computing paradigm to form a constitutive model applicable to rock fractures. To this end, an RBFNN-GWO model is presented, which integrates the radial basis function neural network (RBFNN) with grey wolf optimization (GWO). In the proposed model, the hyperparameters and weights of RBFNN were tuned using the GWO algorithm. The efficiency of the designed RBFNN-GWO was examined comparing it with the RBFNNGA model (a combination of RBFNN and the Genetic Algorithm). The proposed models were trained based on the results of a systematic set of 84 direct shear tests gathered from the literature. The finding of the current study demonstrated the efficiency of both the RBFNN-GA and RBFNN-GWO models in predicting the dilation angle, peak shear displacement, and stress as the rock fracture properties. Among the two models proposed in this study, the statistical results revealed the superiority of RBFNN-GWO over RBFNN-GA in terms of prediction accuracy. Keywords Rock fracture · Radial basis function neural network · Grey wolf optimization · Genetic algorithm
1 Introduction
* Mahdi Hasanipanah [email protected]; [email protected] 1
School of Resources and Safety Engineering, Central South University, Changsha 410083, China
2
State Key Laboratory of Coal Mine Disaster Dynamics and Control, College of Resources and Safety Engineering, Chongqing University, Chongqing 400044, China
3
Département Études Thermodynamiques, Division Laboratoires, Sonatrach, Boumerdes, Algeria
4
Laboratoire Génie Physique des Hydrocarbures, Faculté des Hydrocarbures et de la Chimie, Université M’Hamed Bougara de Boumerdes, Avenue de l’Indépendance, 35000 Boumerdes, Algeria
5
Department of Civil Engineering, Faculty of Engineering, Arak University, Arak, Iran
6
Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam
Rock mass normally comprises rock material and rock discontinuities, and this is characterized by discontinuum constitutive models [1]. On the other hand, making a relation between strains and stresses is an important subject in the rock engineering field. Therefore, this study attempts to present the constitutive models for predicting rock fractures. Literature is consis
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