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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Critical state plasticity. Part VI: Meso-scale finite element simulation of strain localization in discrete granular materials
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Critical state plasticity. Part VI: Meso-scale finite element simulation of strain localization in discrete granular materials

机译：临界状态可塑性。第六部分：离散颗粒材料中应变局部化的中尺度有限元模拟

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摘要

Development of more accurate mathematical models of discrete granular material behavior requires a fundamental understanding of deformation and strain localization phenomena. This paper utilizes a meso-scale finite element modeling approach to obtain an accurate and thorough capture of deformation and strain localization processes in discrete granular materials such as sands. We employ critical state theory and implement an elastoplastic constitutive model for granular materials, a variant of a model called "Nor-Sand", allowing for non-associative plastic flow and formulating it in the finite deformation regime. Unlike the previous versions of critical state plasticity models presented in a series of "Cam-Clay" papers, the present model contains an additional state parameter ψ that allows for a deviation or detachment of the yield surface from the critical state line. Depending on the sign of this state parameter, the model can reproduce plastic compaction as well as plastic dilation in either loose or dense granular materials. Through numerical examples we demonstrate how a structured spatial density variation affects the predicted strain localization patterns in dense sand specimens.
机译：开发更精确的离散颗粒材料行为的数学模型需要对变形和应变局部化现象有基本的了解。本文利用中尺度有限元建模方法来获得对诸如沙子之类的离散颗粒材料中的变形和应变局部化过程的准确而彻底的捕获。我们采用临界状态理论，并为颗粒材料实施了弹塑性本构模型，这是名为“ Nor-Sand”的模型的变体，允许非缔合塑性流动并将其公式化为有限变形形式。与一系列“ Cam-Clay”论文中介绍的临界状态可塑性模型的先前版本不同，本模型包含一个附加的状态参数ψ，该参数允许屈服面与临界状态线发生偏离或脱离。根据该状态参数的符号，模型可以在松散或密集的颗粒状材料中复制塑性压缩以及塑性膨胀。通过数值示例，我们证明了结构化的空间密度变化如何影响致密砂样品中的预测应变局部化模式。

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