The Non-Euclidean Model of Failure of the Deep Rock Masses under the Deformation Incompatibilty Condition
X. ZHOU1, Q. QIAN1,2
1Chongqing University, Chongqing, 400045 China
2PLA University of Science and Technology, Nanjing, 210007 China
Keywords: defects, damage variable, self-equilibrated stresses, new non-Euclidean model, deep rock masses, pre-existing microcracks, secondary microcracks
Abstract
The deep rock masses are considered as granular materials containing uniform distribution of defects. Defects in the deep rock masses are characterized by the damage variable. The damage variable of the deep rock masses is determined using Mori–Tanaka’s method and Sidoroff’s method, which consider the interaction among microcracks. Effect of the pre-existing microcracks and secondary microcracks on scalar curvature and the free energy density is investigated. A new non-Euclidean mode is established, considering effect of the pre-existing microcracks and secondary microcracks. Contributions of pre-existing microcracks and secondary microcracks to the self-equilibrated stresses are derived from the free energy and the deformation incompatibilty condition. The stress fields of the surrounding rock masses around a deep circular tunnel are determined from a new non-Euclidean model.
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