Coupled Analysis of Desiccation Cracking in Unsaturated Soils through a Non-Local Mathematical Formulation
Coupled Analysis of Desiccation Cracking in Unsaturated Soils through a Non-Local Mathematical Formulation
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DOI：
10.3390/geosciences9100428
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发表时间：
2019-10
期刊：
影响因子：
2.7
通讯作者：
Shashank Menon;Xiaoyu Song
中科院分区：
文献类型：
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作者：
Shashank Menon;Xiaoyu Song
非饱和土中干燥裂缝的形成是一种不连续现象，它会影响非饱和土上土木基础设施的完整性。由于这种不连续性的奇异性，干燥开裂的数学模型是具有挑战性的。在这项研究中，我们采用耦合非局部周向孔隙弹性框架模型干燥开裂的非饱和土。土骨架采用非局部周向弹性体模型。利用广义达西定律的周向等效来模拟非饱和流体流动。裂纹是由材料点之间的临界拉伸准则以及能量准则确定的。本文分别对土棒和薄土盘的一维开裂和二维开裂网络进行了数值模拟。数值结果表明，所提出的非局部数学框架是一个有前途的和强大的方法模拟干燥开裂的非饱和土。
The formation of desiccation cracks in unsaturated soils as a discontinuity phenomenon can compromise the integrity of civil infrastructure on unsaturated soils. Because of the singularity at such discontinuities, the mathematical modeling of desiccation cracking is challenging. In this study, we apply a coupled nonlocal peridynamic poroelastic framework to model desiccation cracking in unsaturated soils. The soil skeleton is modeled by a nonlocal peridynamic elastic solid. A peridynamic equivalence of the generalized Darcy’s law is utilized to model unsaturated fluid flow. Cracking is determined by a critical stretch criterion between material points as well as an energy criterion. We present numerical simulations of desiccation cracking in soil bars and thin soil discs for one-dimensional cracking and two-dimensional cracking networks, respectively. The numerical results have demonstrated that the proposed nonlocal mathematical framework is a promising and robust method for modeling desiccation cracking in unsaturated soils.