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首页> 外文期刊>Engineering Fracture Mechanics >Numerical simulation of propagation and coalescence of flaws in rock materials under compressive loads using the extended non-ordinary state-based peridynamics
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Numerical simulation of propagation and coalescence of flaws in rock materials under compressive loads using the extended non-ordinary state-based peridynamics

机译：基于扩展的基于非常规状态的周向动力学，岩石材料在压缩载荷下缺陷的扩展和合并的数值模拟

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The maximum tensile stress criterion and the Mohr-Coulomb criterion are incorporated into the extended non-ordinary state-based peridynamics (NOSB-PD) to simulate the initiation, propagation and coalescence of the pre-existing flaws in rocks subjected to compressive loads. Wing cracks, oblique secondary cracks, quasi-coplanar secondary cracks and anti-wing cracks can be modeled and distinguished using the proposed numerical method. In the present study, a four-point beam in bending with two notches as a benchmark example is firstly conducted to verify the ability, accuracy and numerical convergence of the proposed numerical method. Then, the numerical samples of rock materials containing the one single pre-existing flaw with various lengths under uniaxial compression are modeled. Four significant factors, i.e. the axial stress versus axial strain curves, the peak strength, the ultimate failure mode and crack coalescence process, are obtained from the present numerical simulation. The effect of the flaw length on the propagation of cracks is investigated. Next, sandstone samples containing three pre-existing flaws with different ligament angles under uniaxial compression are also simulated. The effect of ligament angle on the propagation and coalescence of cracks is studied. Finally, rock-like samples containing two parallel pre-existing flaws subjected to biaxial compressive loads with confining stresses of 2.5, 5.0, 7.5 and 10.0 MPa are simulated. The effect of the confining stresses on the initiation, propagation and coalescence of flaws is investigated. The present numerical results are in good agreement with the previous experimental ones. (C) 2016 Elsevier Ltd. All rights reserved.
机译：最大拉伸应力准则和Mohr-Coulomb准则被结合到扩展的基于非常规状态的周边动力学（NOSB-PD）中，以模拟岩石在压缩载荷下已存在的裂纹的萌生，传播和合并。利用所提出的数值方法可以对翼形裂纹，斜向次级裂纹，准共面次级裂纹和反翼裂纹进行建模和区分。在本研究中，首先以具有两个缺口的弯曲四点梁为基准实例，以验证所提出的数值方法的能力，准确性和数值收敛性。然后，对岩石材料的数值样本进行建模，该岩石样本在单轴压缩下包含一个具有各种长度的预先存在的缺陷。从目前的数值模拟中获得了四个重要因素，即轴向应力与轴向应变曲线，峰值强度，极限破坏模式和裂纹合并过程。研究了裂纹长度对裂纹扩展的影响。接下来，还模拟了在单轴压缩下包含三个预先存在的，具有不同韧带角度的缺陷的砂岩样品。研究了韧带角度对裂纹扩展和合并的影响。最后，模拟了包含两个平行的预先存在的缺陷的岩石样样，这些样点受到了2.5、5.0、7.5和10.0 MPa的限制应力的双轴压缩载荷。研究了约束应力对裂纹萌生，扩展和聚结的影响。目前的数值结果与先前的实验结果非常吻合。 （C）2016 Elsevier Ltd.保留所有权利。

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