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A phase-field approach for compaction band formation due to grain crushing
International Journal for Numerical and Analytical Methods in Geomechanics ( IF 4 ) Pub Date : 2022-08-11 , DOI: 10.1002/nag.3436 Sabrina C.Y. Ip 1 , Ronaldo I. Borja 1
International Journal for Numerical and Analytical Methods in Geomechanics ( IF 4 ) Pub Date : 2022-08-11 , DOI: 10.1002/nag.3436 Sabrina C.Y. Ip 1 , Ronaldo I. Borja 1
Affiliation
Compaction bands are tabular regions of localized compressive deformation with little or no shear offset. Often observed in high-porosity rocks, they can be classified into several subtypes based on their pattern and orientation with respect to the maximum principal stress. The combined effects of material properties and loading conditions on the type of compaction bands that develop are not fully understood, and realistic simulations of their formation are not always successful. In this study, a phase-field approach for capturing the formation and propagation of compaction bands is proposed. The fracture energy utilized in classic phase-field formulations is interpreted to be driven by grain crushing and is herein characterized by breakage mechanics theory. A new decomposition of the free energy function is introduced in which the energy stored by plastic compactive flow drives grain crushing. Depending on the value of the energy release rate, the model predicts different styles of compaction bands that are remarkably consistent with those observed in the field. Numerical simulations demonstrate the role of confining pressure, plasticity, and critical breakage energy on the styles of the predicted compaction bands.
中文翻译:
由于颗粒破碎而形成压实带的相场方法
压实带是局部压缩变形的表格区域,几乎没有或没有剪切偏移。通常在高孔隙度岩石中观察到,它们可以根据它们的模式和相对于最大主应力的方向分为几个亚型。材料特性和加载条件对形成的压实带类型的综合影响尚未完全了解,对其形成的真实模拟并不总是成功的。在这项研究中,提出了一种用于捕获压实带的形成和传播的相场方法。经典相场公式中使用的断裂能被解释为由晶粒破碎驱动,并在此以断裂力学理论为特征。引入了一种新的自由能函数分解,其中塑性压实流储存的能量驱动颗粒破碎。根据能量释放率的值,该模型预测了与现场观察到的非常一致的不同类型的压实带。数值模拟证明了围压、塑性和临界断裂能对预测压实带样式的作用。
更新日期:2022-08-11
中文翻译:
由于颗粒破碎而形成压实带的相场方法
压实带是局部压缩变形的表格区域,几乎没有或没有剪切偏移。通常在高孔隙度岩石中观察到,它们可以根据它们的模式和相对于最大主应力的方向分为几个亚型。材料特性和加载条件对形成的压实带类型的综合影响尚未完全了解,对其形成的真实模拟并不总是成功的。在这项研究中,提出了一种用于捕获压实带的形成和传播的相场方法。经典相场公式中使用的断裂能被解释为由晶粒破碎驱动,并在此以断裂力学理论为特征。引入了一种新的自由能函数分解,其中塑性压实流储存的能量驱动颗粒破碎。根据能量释放率的值,该模型预测了与现场观察到的非常一致的不同类型的压实带。数值模拟证明了围压、塑性和临界断裂能对预测压实带样式的作用。