Material point method to simulate large deformation problems in fluid-saturated granular medium
Material point method to simulate large deformation problems in fluid-saturated granular medium
复制标题
模拟流体饱和颗粒介质大变形问题的质点法
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
S. Bandara
中科院分区：
文献类型：
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作者：
S. Bandara
颗粒土中的大变形问题是岩土工程领域的一个重要研究课题。其中，地球物理和重力驱动的流动，如滑坡，雪崩，滑坡和泥石流;在疯狂的结构，如堤坝，堤坝和大坝的渗透破坏;和松散饱和粒状土壤的液化已被研究人员广泛研究。实验和数值研究都是非常重要的，以了解这些问题的力学和预测故障。然而，这些问题在故障期间的动力学探索较少。这些类型的大规模问题的实验研究是很难执行，需要大量的资源。数值模拟可以用来研究这些问题，大多数与数值模拟相关的研究主要集中在确定不稳定的极限，由于数值方法的局限性。材料点法是一种新的数值方法，它结合了拉格朗日和欧拉技术的优点，可以应用于模拟大变形问题。本研究在粒状土大变形问题的研究中有四个主要贡献。首先，它研究了使用连续体方法来模拟干颗粒流问题，使用MPM的适用性。其次，一个完全耦合的MPM公式推导出模拟流体饱和土壤中的大变形问题。第三，所提出的耦合MPM实施沿着与先进的功能，适用于广泛的应用和验证的解析解。第四，耦合MPM是用来模拟河流堤防破坏问题，涉及大变形。
Large deformation problems in granular soils are of great interest in the field of geotechnical engineering since most of them cause catastrophic damages. Among them, Geophysical and gravity-driven flows such as landslides, avalanches, flowslides, and debris flows; seepage failures in mad-made structures such as levees, embankments, and dams; and liquefaction of loose saturated granular soils have been extensively studied by researchers. Both experimental and numerical investigations are very important to understand the mechanics and to predict failures of these problems. However, the dynamics of these problems during the failure are less explored. Experimental investigations on these types of large scale problems are difficult to perform and require large quantity of resources. Numerical modelling can be used to study these problems, and most of the research related to numerical modelling is mainly focused on identifying the unstable limit due to the limitations of the numerical methods. The material point method (MPM) is a novel numerical method that combines the best aspects of Lagrangian and Eulerian techniques and can be applied to model large deformation problems. This research consists of four main contributions in the study of large deformation problems in granular soils. First, it investigates the applicability of using continuum approaches to model dry granular flow problems using MPM. Second, a fully coupled formulation is derived for MPM to model large deformation problems in fluid-saturated soils. Third, the proposed coupled MPM is implemented along with advanced features to apply for a wide range of applications and verified with analytical solutions. Fourth, the coupled MPM is used to model river levee failure problems that involve large deformations.