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Strong discontinuities in partially saturated poroplastic solids

机译：部分饱和多孔塑性固体中的强不连续性

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This paper considers the analysis and numerical simulation of strong discontinuities in partially saturated solids. The goal is to study observed localized failures in such media like shear bands and similar. The developments consider a fully coupled partially saturated elastoplastic model for the (continuum) bulk response of the solid formulated in effective stresses, identifying the necessary mathematical conditions for the appearance of strong discontinuities (that is, discontinuities in the displacement field leading to singular strains) as well as the proper treatment for the fields characterizing the flow of the different fluid phases, namely, the fluid contents of these phases and their individual pore pressures. The geometrically linear range of infinitesimal strains is considered. These developments allow the formulation of multiphase cohesive laws along the strong discontinuity, capturing in this way the coupled localized dissipation observed in the aforementioned failures. Furthermore, the paper also presents the formulation of enhanced finite elements capturing all these discontinuous solutions in general unstructured meshes. In particular, the finite elements capture the strong discontinuity through the proper enhancements of the discrete element strains, allowing for a complete local resolution of these effects. This results in a particularly efficient computational approach, easily accommodated in an existing finite element code. Different representative numerical simulations are presented illustrating the performance of the proposed formulation, as well as its use in practical applications like the modeling of the excavation of tunnels in variably saturated media.
机译：本文考虑了部分饱和固体中强不连续性的分析和数值模拟。目的是研究在剪切带等介质中观察到的局部破坏。这些进展考虑了在有效应力下配制的固体的（连续）体积响应的完全耦合的部分饱和弹塑性模型，确定了出现强不连续性（即位移场中的不连续性导致奇异应变）出现的必要数学条件。以及对表征不同流体相流场的适当处理，即这些相的流体含量及其各自的孔隙压力。考虑了最小应变的几何线性范围。这些发展允许沿着强不连续性制定多相内聚定律，以这种方式捕获在前述失效中观察到的耦合局部耗散。此外，本文还提出了在有限的非结构化网格中捕获所有这些不连续解的增强有限元的公式。特别是，有限元通过适当增强离散元素应变来捕获强烈的不连续性，从而实现这些效应的完整局部分辨率。这导致一种特别有效的计算方法，可以轻松地容纳在现有的有限元代码中。提出了不同的代表性数值模拟，说明了拟议配方的性能及其在实际应用中的使用，如在可变饱和介质中对隧道开挖进行建模。

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