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STUDY ON DAMAGE BIFURCATION AND INSTABILITY OF ROCK-LIKE MATERIALS |
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| Authors: | Luan Maotian Wang Zhongchang Yang Qing |
| Affiliation: | 1. Department of Engineering Mechanics, College of Aerospace Engineering, Chongqing University, Chongqing 400044, China;2. State Key Laboratory of Coal Mine Disaster Dynamics and Control (Chongqing University), China;3. State Key Laboratory of Crystal Material (Shandong University), China;4. Chongqing Key Laboratory of Heterogeneous Material Mechanics (Chongqing University), China;1. Department of Mechanical Engineering, Heriot-Watt University, Edinburgh EH14 4AS, UK;2. Institute of Mechanics and Ocean Engineering, TUHH, Hamburg D-21073, Germany;1. Purdue University School of Mechanical Engineering, 585 Purdue Mall, West Lafayette, IN, USA;2. Ray W. Herrick Laboratories, 177 South Russell Street, West Lafayette, IN, USA;3. Birck Nanotechnology Center, 1205 West State Street, West Lafayette, IN, USA;1. Podgorny Institute for Mechanical Engineering, National Academy of Science of Ukraine, Department of Vibrations, 2/10 Dm. Pozharskogo St., 61046 Kharkiv, Ukraine;2. Department of Gas and Fluid Mechanics, National Technical University “KhPI”, Frunze St. 21, Kharkiv 61002, Ukraine |
| Abstract: | The critical bifurcation orientation and its corresponding hardening modulus for rock-like geomaterials are derived by considering the effect of stiffness degradation and volumetric dilatancy under the assumption of isotropic damage. The dependency of the localized orientation on the degree of damage and initial Poisson's ratio of rock is examined and the bifurcation behavior of the uniaxial compression sample under the plane-stress condition is compared with that under plane-strain condition. It is shown that the localization orientation angle intimately depends on both the initial Poisson's ratio and degree of damage for the rock sample under the uniaxial compression condition. As the initial Poisson's ratio or degree of damage increases, the orientation angle of the plane on which localization tends to be initiated gets to decrease. At the same time, the localization orientation angle of a rock sample under the plane-stress condition is larger than that under the plane-strain condition. |
| Keywords: | damage degradation maximum hardening modulus bifurcation orientation of localization rock-like materials |
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