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SPH Simulation of Strain Localisation in Geomaterials Using a Visco-Plastic Constitutive Model

机译:使用粘塑塑性本构模型在地磁材料中的应变定位SPH模拟

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It is well known that classical continuum models for softening materials suffer from stability issues that lead to mesh dependent numerical solutions and their regularisation is needed for the analysis of boundary value problems. In this work, a Perzyna's type viscous regularisation was applied to a plasticity model for use with the Smoothed Particle Hydrodynamics (SPH) to analyse strain localisation in porous geomaterials. The proposed approach was first verified against an analytical solution for a plane strain compression test and then employed for the investigation of size dependent effects in localised failure of geomaterials. It is found that the proposed SPH-based approach, combined with visco-plastic constitutive relation, is an effective and simple way to capture both the onset and post-localisation behaviour.
机译:众所周知,用于软化材料的经典连续模型遭受稳定性问题,导致网格依赖性数值解决方案,并且对边值问题的分析需要它们的正则化。在这项工作中,将Perzyna的型粘性正则化应用于可塑性模型,用于平滑粒子流体动力学(SPH),以分析多孔地质材料中的应变局部化。首先将所提出的方法针对平面应变压缩试验的分析解决方案验证,然后用于研究尺寸依赖性效应在岩石局部失效中。结果发现,所提出的基于SPH的方法与粘合塑料本构关系相结合,是捕获起始和局部化行为的有效和简单的方法。

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