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首页> 外文期刊>Applied Mathematical Modelling >Stress continuity in DEM-FEM multiscale coupling based on the generalized bridging domain method
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Stress continuity in DEM-FEM multiscale coupling based on the generalized bridging domain method

机译：基于广义桥接域法的DEM-FEM多尺度耦合应力连续性

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摘要

Concurrent multiscale method is a spatial and temporal combination of two different scale models for describing the micro/meso and macro mixed behaviors observed in strain localization, failure and phase transformation processes, etc. Most of the existing coupling schemes use the displacement compatibility conditions to glue different scale models, which leads to displacement continuity and stress discontinuity for the obtained multi-scale model. To overcome stress discontinuity, this paper presented a multiscale method based on the generalized bridging domain method for coupling the discrete element (DE) and finite element (FE) models. This coupling scheme adopted displacement and stress mixed compatibility conditions. Displacements that were interpolated from FE nodes were prescribed on the artificial boundary of DE model, while stresses at numerical integration points that were extracted from DE contact forces were applied on the material transition zone of FE model (the coupling domain and the artificial boundary of FE model). In addition, this paper proposed an explicit multiple time-steps integration algorithm and adopted Cundall nonviscous damping for quasi-static problems. DE and FE parameters were calibrated by DE simulations of a biaxial compression test and a deposition process. Numerical examples for a 2D cone penetration test (CPT) show that the proposed multiscale method captures both mesoscopic and macroscopic behaviors such as sand soil particle rearrangement, stress concentration near the cone tip, shear dilation, penetration resistance vibration and particle rotation, etc, during the cone penetration process. The proposed multiscale method is versatile for maintaining stress continuity in coupling different scale models.
机译：并发多尺度方法是两种不同刻度模型的空间和时间组合，用于描述在应变定位，故障和相位变换过程中观察到的微/间隙和宏混合行为等。大多数现有耦合方案使用位移兼容性条件胶水不同的尺度模型，导致所获得的多尺度模型的位移连续性和应力不连续性。为了克服压力不连续性，本文介绍了一种基于广义桥接域方法的多尺度方法，用于耦合离散元件（DE）和有限元（FE）模型。该耦合方案采用位移和应力混合相容条件。从Fe节点内插的位移在DE模型的人工边界上规定，而在Fe模型的材料过渡区（耦合域和Fe的人工边界）上施加了从De接触力提取的数值积分点的应力模型）。此外，本文提出了一种明确的多个时间步骤集成算法，并采用了用于准静态问题的Cundall非肤抗阻尼。 DE和Fe参数被双轴压缩测试的DE模拟校准和沉积过程。 2D锥形渗透试验（CPT）的数值例表明，所提出的多尺度方法捕获介面和宏观行为，例如锥形颗粒重排，剪切扩张，渗透阻力和颗粒旋转等附近的砂土颗粒重新排列，应​​力集中，等等锥形渗透过程。所提出的多尺度方法是多功能的，用于在耦合不同刻度模型中保持应力连续性。

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  • 来源
    《Applied Mathematical Modelling》 |2020年第7期|220-236|共17页
  • 作者

    Fubin Tu; Yuyong Jiao; Zongwu Chen; Junpeng Zou; Zhiye Zhao;

  • 作者单位

    Faculty of Engineering China University of Geosciences (Wuhan) No.388 Lumo Road Wuhan Hubei 430074 China;

    Faculty of Engineering China University of Geosciences (Wuhan) No.388 Lumo Road Wuhan Hubei 430074 China;

    Faculty of Engineering China University of Geosciences (Wuhan) No.388 Lumo Road Wuhan Hubei 430074 China;

    Faculty of Engineering China University of Geosciences (Wuhan) No.388 Lumo Road Wuhan Hubei 430074 China;

    School of Civil and Environmental Engineering Nanyang Technological University Singapore 639789 Singapore;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Stress continuity; Multiscale method; Discrete element method; Finite element method; Cone penetration test;

    机译：压力连续性;多尺度方法;离散元素法;有限元法;锥形渗透试验;

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