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首页> 外文期刊>Mathematical Problems in Engineering >Factors Influencing Quasistatic Modeling of Deformation and Failure in Rock-Like Solids by the Smoothed Particle Hydrodynamics Method
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Factors Influencing Quasistatic Modeling of Deformation and Failure in Rock-Like Solids by the Smoothed Particle Hydrodynamics Method

机译：光滑颗粒流体动力学方法影响岩石固体变形和破坏拟静力学建模的因素

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摘要

As a Lagrangian mesh-free numerical method, the Smoothed Particle Hydrodynamics (SPH) method has been traditionally applied for modeling astrophysics, fluid flows and thermal problems, and there has been a growing interest in applying SPH to solid deformation problems. However, the potential of this method for quasistatic analysis of rock-like brittle materials has not been clearly explored. The major aim of this paper is to investigate the effects of key factors in SPH on the load-deformation response of rock-like solids, including variations in the particle approximation theory, the magnitude of the smoothing length and its variable method. Simple uniaxial compression (UC) loading conditions were chosen, and a series of numerical studies were carried out sequentially on an idealized elastic case and an actual test of marble material. Typical results of the axial stress-strain response from infinitesimal to finite deformation as well as the progressive failure process for the marble tests are given and the influences of various factors are discussed. It is found that only provided proper choices of particle momentum equation and the smoothing length parameter, the SPH method is capable for favorably reproducing the deformation and progressive failure evolution in rock-like materials under quasistatic compression loads.
机译：作为拉格朗日无网格数值方法，平滑粒子流体动力学（SPH）方法传统上已用于对天体物理学，流体流动和热问题进行建模，并且将SPH应用于固体变形问题的兴趣日益浓厚。但是，这种方法用于岩石状脆性材料的准静态分析的潜力尚未得到明确的探索。本文的主要目的是研究SPH中关键因素对类岩石固体荷载变形响应的影响，包括颗粒近似理论的变化，平滑长度的大小及其可变方法。选择简单的单轴压缩（UC）加载条件，并在理想的弹壳上进行一系列数值研究，并对大理石材料进行了实际测试。给出了从无限小到有限变形的轴向应力应变响应的典型结果，以及大理石试验的渐进破坏过程，并讨论了各种因素的影响。结果发现，仅通过适当选择粒子动量方程式和平滑长度参数，SPH方法就能够在准静态压缩载荷下良好地再现岩石材料的变形和渐进破坏演化。

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  • 来源
    《Mathematical Problems in Engineering》 |2013年第1期|852875.1-852875.13|共13页
  • 作者

    X. W. Tang; Y. D. Zhou; Y. L. Liu;

  • 作者单位

    State Key Laboratory of Subtropical Building Science, School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, China;

    State Key Laboratory of Hydroscience and Engineering, Department of Hydraulic Engineering, Tsinghua University, Beijing 100084, China;

    State Key Laboratory of Hydroscience and Engineering, Department of Hydraulic Engineering, Tsinghua University, Beijing 100084, China;

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