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An elastic-plastic model for frozen soil from micro to macro scale

机译:微量微型土壤的弹性塑料模型

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摘要

Frozen soil is a multiphase heterogeneous composite, whose mechanical properties are controlled by the different constituent materials properties and the internal breakage mechanism. In response to this issue, a multiscale incremental elastoplastic constitutive model for frozen soil is derived to reflect this internal mechanical mechanism through micro-thermo-mechanics and homogenization theory, which includes two homogenization steps: breakage stage (Ⅰ step) and constituent materials stage (Ⅱ step). Firstly, the nonlinear homogenization process in the first step is transformed into linear homogenization through Hill's linearization method and the incremental constitutive model is given with the elastic/plastic increment strain concentration tensors by the self-consistent theory, which considers the breakage mechanism, and a new method for determining the volumetric breakage ratio is developed by means of thermodynamic theory, which has a more rigorous theoretical framework than previous methods. Secondly, in the second homogenization process, the elastic stiffness tensor of bonded elements, which is composed of unbroken material with elastic properties, is given by M-T method (incremental constitutive model). Meanwhile, the elastical-plastic stiffness tensor of frictional elements is determined by using a new Eshelby's tensor for elastic-plastic medium (incremental constitutive model). Finally, the specific application of this model for frozen soil is given, and the rationality is demonstrated by comparing the computed and tested results under conventional triaxial compression test.
机译:冷冻土是一种多相非均相复合材料,其机械性能由不同的组成材料性能和内部破损机构控制。响应于此问题,得出用于冷冻土壤的多尺度增量弹塑性本构模型,以通过微热 - 力学和均质化理论反映这种内部机械机制,包括两个均质化步骤:破损阶段(Ⅰ步)和组成材料阶段( Ⅱ步)。首先,通过山的线性化方法将第一步中的非线性均质化过程转化为线性均匀化,通过自洽理论,具有弹性/塑料增量应变浓度张量的增量组成型模型,其认为破损机制,以及一个用于确定体积断裂比的新方法是通过热力学理论开发的,这具有比以前的方法更严格的理论框架。其次,在第二均匀化过程中,由M-T方法(增量组成型模型)给出由具有弹性性质的不间断材料构成的粘合元件的弹性刚度张量。同时,通过使用新的eShelby的弹性介质的张量来确定摩擦元件的弹性塑料刚度张量(增量本构模型)。最后,给出了这种冻土模型的具体应用,通过比较传统三轴压缩测试下的计算和测试结果来证明合理性。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2021年第3期|125-148|共24页
  • 作者

    Pan Wang; Enlong Liu; Bin Zhi;

  • 作者单位

    State Key Laboratory of Frozen Soil Engineering Northwest Institute of Eco-Environment and Resources Chinese Academy of Sciences Lanzhou 730000 China University of Chinese Academy of Sciences Beijing 100049 China;

    State Key Laboratory of Frozen Soil Engineering Northwest Institute of Eco-Environment and Resources Chinese Academy of Sciences Lanzhou 730000 China University of Chinese Academy of Sciences Beijing 100049 China State Key Laboratory of Hydraulics and Mountain River Engineering College of Water Resources and Hydropower Sichuan University Chengdu 610065. PR China;

    School of Architecture and Civil Engineering Xi'an University of Science and Technology Xi'an 710054 PR China;

  • 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

    Binary medium model; Multiscale model; Breakage mechanism; Strain concentration tensor; Volumetric breakage ratio; Frozen soil;

    机译:二元媒体模型;多尺度模型;破损机制;应变浓度张量;体积破损率;冻土;

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