Numerical investigation of the deformation properties of rock materials subjected to cyclic compression by the finite element method
Numerical investigation of the deformation properties of rock materials subjected to cyclic compression by the finite element method
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岩石材料循环压缩变形特性的有限元数值研究
DOI：
10.1016/j.soildyn.2019.105795
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发表时间：
2019
影响因子：
4
通讯作者：
Fu Xiaodong
中科院分区：
文献类型：
--
作者：
Zhou Yongqiang;Sheng Qian;Li Nana;Fu Xiaodong
众多工程项目中涉及的岩石材料经常受到循环载荷的作用，例如地震。了解岩石材料在循环荷载作用下的动态变形特性对于评价岩石工程结构的稳定性是必要的。本研究利用有限元法（FEM）数值研究了循环加载条件（例如波形、频率、最大加载应力和振幅）对岩石样本变形特性的影响。基于 Drucker-Prager (D-P) 屈服准则和次加载面理论，建立了再现循环加载下岩石材料的滞后回线和累积塑性变形的动态本构模型，并使用有限元法进行了数值计算，并通过与玄武岩和花岗岩模型材料的实验结果进行比较进行了验证。然后，模拟了一系列加载参数的循环单轴加载试验，并分析了岩石样品的变形特性。结果表明，可以有效地数值再现岩石材料在循环过程中的磁滞回线和累积塑性变形。加载参数显着影响动态变形特性，例如最大应变、不可逆应变和磁滞回线。模拟结果与已发表文献中的实验结果几乎一致。因此，通过所提出的动态本构模型，有限元可以用来数值模拟循环加载条件对岩石材料变形特性的影响。
Rock materials, which are involved in a myriad of engineering projects, are often subjected to cyclic loading, such as earthquakes. Understanding the dynamic deformation properties of rock materials under cyclic loading is necessary for evaluating the stability of rock engineering structures. This study numerically investigated the influence of cyclic loading conditions (e.g., waveform, frequency, maximum loading stress and amplitude) on the deformation properties of rock samples using the finite element method (FEM). On the basis of the Drucker–Prager (D-P) yield criterion and sub-loading surface theory, a dynamic constitutive model for reproducing the hysteresis loops and the accumulative plastic deformation of rock materials subjected to cyclic loading was established, numerically implemented using FEM, and validated through comparison with experimental results on basalt and granite model materials. Then, cyclic uniaxial loading tests were simulated with a range of loading parameters, and the deformation properties of rock samples were analyzed. The results indicated that the hysteresis loops and accumulated plastic deformation of rock materials during the cyclic process can be numerically reproduced in an effective manner. The loading parameters significantly affected dynamic deformation properties such as the maximum strain, irreversible strain and hysteresis loop. The simulation results were almost consistent with the experimental results in the published literature. Therefore, through the proposed dynamic constitutive model, FEM can be used to numerically simulate the influence of cyclic loading conditions on the deformation properties of rock materials.