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Theoretical explanation of rock splitting based on the micromechanical method

机译:基于微力学方法的岩石劈裂理论解释

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In this paper, in order to explain the splitting of cylindrical rock specimen under uniaxial loading, cracks in cylindrical rock specimen are divided into two kinds, the longitudinal crack and the slanting crack. Mechanical behavior of the rock is described by elastic-brittle-plastic model and splitting is assumed to suddenly occur when the uniaxial compressive strength is reached. Expression of the stresses induced by the longitudinal crack in direction perpendicular to the major axis of the crack is deduced by using the Maxwell model. Results show that the induced stress is tensile and can be greater than the tensile strength even before the uniaxial compressive strength is reached. By using the Inglis's formula and simplifying the cracks as slender ellipse, the above conclusions that drawn by using the Maxwell model are confirmed. Compared to shearing fracture, energy consumption of splitting seems to be less, and splitting is most likely to occur when the uniaxial loading is great and quick. Besides, explaining the rock core disking occurred under the fast axial unloading by using the Maxwell model may be helpful for understanding that rock core disking is fundamentally a tensile failure phenomenon.
机译:为了解释圆柱岩样在单轴载荷下的分裂,将圆柱岩样的裂缝分为纵向裂缝和倾斜裂缝两种。用弹性-脆塑性模型描述岩石的力学行为,并假设达到单轴抗压强度时突然发生分裂。通过使用麦克斯韦(Maxwell)模型推导纵向裂纹在垂直于裂纹长轴的方向上引起的应力的表达式。结果表明,诱导应力是拉伸应力,甚至可以在达到单轴抗压强度之前大于拉伸强度。通过使用英格里斯公式并将裂纹简化为细长椭圆形,可以证实使用麦克斯韦模型得出的上述结论。与剪切断裂相比,劈裂的能量消耗似乎更少,并且当单轴载荷大而快速时,劈裂最有可能发生。此外,利用麦克斯韦模型解释在快速轴向卸荷下发生的岩心爆破可能有助于理解岩心爆破本质上是一种拉伸破坏现象。

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