Application of Dimensional Analysis in Calibration of a Discrete Element Model for Rock Deformation and Fracture |
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Authors: | A Fakhimi T Villegas |
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Institution: | (1) Departments of Mineral and Mechanical Engineering, New Mexico Tech, Socorro, NM, U.S.A.;(2) Department of Civil Engineering, University of Tarbiat Modarres, Tehran, Iran;(3) Department of Civil and Mining Engineering, University of Sonora, Hermosillo, Sonora, Mexico |
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Abstract: | Summary A discrete element approach was used in the simulation of rock fracture. The numerical synthetic material was made of rigid
circular particles or cylinders that have interaction through normal and shear springs. The cylinders were bonded to each
other at the contact points to withstand the applied loads. To characterize the microscopic properties of this synthetic material,
a dimensional analysis approach was presented. It was shown that the dimensionless parameters and graphs obtained were useful
tools for fast and efficient calibration of a synthetic material. This calibration method was employed for finding a numerical
model for Pennsylvania Blue Sandstone. The numerical model could mimic many deformational and failure characteristics of the
sandstone in both conventional and some non-conventional stress paths. |
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Keywords: | : Rock fracture discrete element method dimensional analysis calibration |
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