Dynamic strain localization into a compaction band via a phase-field approach

Dynamic strain localization into a compaction band via a phase-field approach
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DOI:
10.1016/j.jmps.2023.105228
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发表时间:
2023-04
影响因子:
5.3
通讯作者:
Yunteng Wang;R. Borja;W. Wu
Yunteng Wang;R. Borja;W. Wu
中科院分区:
工程技术2区
文献类型:
--
作者:
Yunteng Wang;R. Borja;W. Wu

文献摘要

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本文提出了高孔隙度岩石中压实带形成和扩展的一种新的相场公式。提出的公式的新特征包括:(a)惯性对压实带发展速度的影响,以及(b)适用于动态应变局部化问题的拉伸、压缩和剪切中的退化机制,其中扰动以波状方式及时传播,导致岩石中的微裂纹、颗粒破碎和摩擦颗粒重排。我们还提出了一种强大的数值技术来处理压实带的时空形成和演化。我们通过模拟一个在常规三轴压缩中测试的Bentheim砂岩的v形缺口圆柱形试样的基准问题来验证该模型。该模型再现了不同的几何变形类型,包括纯压实作用、剪切增强压实作用以及纯压实作用和剪切增强压实作用的组合,其中组合机制是由一个直接的初级压实带包围着次要的形带。
We present a new phase-field formulation for the formation and propagation of a compaction band in high-porosity rocks. Novel features of the proposed formulation include (a) the effects of inertia on the rate of development of compaction bands, and (b) degradation mechanisms in tension, compression, and shear appropriate for dynamic strain localization problems where disturbances propagate in time in a wave-like fashion to induce micro-cracking, grain crushing, and frictional grain rearrangement in the rock. We also present a robust numerical technique to handle the spatiotemporal formation and evolution of the compaction band. We validate the model by simulating a benchmark problem involving a V-shape notched cylindrical specimen of Bentheim sandstone tested in conventional triaxial compression. The model is shown to reproduce different geometric styles of deformation that include pure compaction, shear-enhanced compaction, and a combination of pure and shear-enhanced compaction, where the combination mechanism consists of a straight primary compaction band surrounded by secondary chevron bands.