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Condensed form of complementarity formulation for discontinuous deformation analysis

机译：用于不连续变形分析的互补公式的压缩形式

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摘要

While the classical discontinuous deformation analysis (DDA) is applied to the analysis of arngiven block system, one must preset stiffness parameters for artificial springs to be fixed during the opencloserniteration. To a great degree, success or failure in applying DDA to a practical problem is dependent onrnthe spring stiffness parameters, which is believed to be the biggest obstacle to more extensive applications ofrnDDA. In order to evade the introduction of the artificial springs, this study reformulates DDA as a mixed linearrncomplementarity problem (MLCP) in the primal form. Then, from the fact that the block displacementrnvector of each block can be expressed in terms of the contact forces acting on the block, the condensed formrnof MLCP is derived, which is more efficient than the primal form. Some typical examples including those designedrnby the DDA inventor are reanalyzed, proving that the procedure is feasible.
机译：在将经典的不连续变形分析（DDA）应用于动工砌块系统的分析时，必须预先设置刚性参数，以便在开闭式编织过程中固定人造弹簧。在很大程度上，将DDA应用于实际问题的成败取决于弹簧刚度参数，这被认为是DDA更广泛应用的最大障碍。为了避免引入人造弹簧，本研究将DDA重新设计为原始形式的混合线性互补问题（MLCP）。然后，根据可以用作用在块上的接触力来表示每个块的块位移向量的事实，得出了压缩形式的MLCP，它比原始形式更有效。重新分析了一些典型示例，包括由DDA发明者设计的示例，证明了该程序是可行的。

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  • 会议地点 Wuhan(CN)
  • 作者

    XiaoKai LI; Hong ZHENG;

  • 作者单位

    State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics,Chinese Academy of Sciences, Wuhan, China;

    Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University ofTechnology, Beijing, China;

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