Effect of crack surface slip and shear dilatation on damage and failure of rocks
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摘要: 针对目前断续裂隙岩体裂隙面滑移与剪胀对岩石损伤破坏影响的研究缺乏，采用断裂与损伤力学理论在两方面改进了岩体宏观损伤模型：考虑了单轴压缩下产生滑移时裂隙面不规则的粗糙突起引起摩擦能量的损耗；基于Bardon剪胀模型，考虑了闭合滑动裂隙将会在法向产生一定的剪胀位移，从而造成应变能的塑性损耗。再利用岩石微元Mohr-Coulomb强度准则，且假定微元强度服从Weibull分布，构建了岩体细观损伤模型。最后根据Lemaitre的应变等效假设，构建了考虑裂隙滑移与剪胀的岩体宏细观耦合损伤模型。与试验数据的对比表明，该模型能够较好地刻画岩体单轴压缩力学行为。最后分析了岩石裂隙的倾角、长度、内摩擦角以及剪胀角等参数对宏观损伤的影响，阐明了考虑裂隙面的滑移与剪胀对研究岩体单轴压缩力学特性的必要性。该研究可为裂隙岩体在单轴压缩下裂隙面的物理力学行为研究提供参考。Abstract: The current research on the impact of slip and dilatancy along fissure surfaces in discontinuously fractured rock masses on rock damage and failure is insufficient. This study improves the macroscopic damage model of rock masses in two aspects by employing fracture and damage mechanics. Initially, we considered that during slip under uniaxial compression, the irregular rough asperities on the fissure surface cause frictional energy loss. Secondly, based on the Bardon dilatancy model, we took into account the fact that closed sliding fissures generate certain normal dilatancy displacement, resulting in the loss of strain energy. Furthermore, using the Mohr-Coulomb rock micro-element strength criterion and assuming that the micro-element strength follows a Weibull distribution, a meso-damage model for the rock mass was constructed. Finally, based on Lemaitre's strain equivalence hypothesis, a macro-meso coupled damage model was developed, considering fissure slip and dilatancy. Comparison with experimental data shows that this model can show the uniaxial compression mechanical behavior of rock masses well. The analysis of parameter sensitivity of such parameters as the inclination, length, internal friction angle, and dilatancy angle of rock fissures demonstrates that considering slip and dilatancy along fissure surfaces is crucial for studying the uniaxial compression mechanical properties of rock masses. This research provides a reference for accurately explaining the physical and mechanical behavior of fissure surfaces in fractured rock masses under uniaxial compression.
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表 1 不同的节理相互影响系数值
d/2a b/2a $\infty $ 5.00 2.50 1.67 1.25 $\infty $ 1.000 1.017 1.075 1.208 1.565 5.00 1.016 1.020 1.075 1.208 1.565 1.00 1.257 1.257 1.258 1.292 1.580 0.25 2.094 2.094 2.094 2.094 2.107 
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