Irregular polygon shapes (eg, with small edges or small angles) are usually encountered in the contact simulation of discrete block systems. Treatment of irregular polygons in contact detection process has critical effects on the robustness and efficiency of the discontinuous computation approach. The present work proposes a cover‐based strategy to detect and solve contacts of irregular convex polygons in a robust and efficient way. Contact constraints of two polygons are represented by vertex‐edge and edge‐vertex contact covers in 2D. Two loops, namely vertex‐edge loop and edge‐vertex loop, and two filter criteria, namely the entrance filter criterion and the distance filter criterion, are used to establish the potential contact cover list of two neighbor polygons. The initial active and closed contact covers are chosen based on block configuration at the beginning of the step and they are then updated in the open‐close iteration process using proposed criteria. This strategy is implemented in discontinuous deformation analysis. The robustness of the proposed cover‐based approach and the conventional type‐based approach in handling contact of irregular blocks is verified first. Then, the contact analysis efficiency of the cover‐based approach with different contact tolerances is evaluated. This cover‐based method can be extended to 3D case for efficient and robust contact analysis of irregular polyhedral blocks.

中文翻译：

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不连续凸分析中不规则凸多边形的基于覆盖的接触检测方法

在离散块系统的接触模拟中通常会遇到不规则的多边形形状（例如，具有较小的边缘或较小的角度）。接触检测过程中不规则多边形的处理对不连续计算方法的鲁棒性和效率具有关键影响。本工作提出了一种基于覆盖的策略，以一种鲁棒且有效的方式检测和解决不规则凸多边形的接触。两个多边形的接触约束由2D中的顶点边和边顶点接触覆盖表示。两个循环即顶点边循环和边顶点循环，以及两个过滤标准，即入口过滤标准和距离过滤标准，用于建立两个相邻多边形的潜在接触覆盖列表。在步骤开始时，根据模块配置选择初始活动触点和闭合触点盖，然后使用建议的准则在开闭迭代过程中对其进行更新。该策略在不连续变形分析中实施。首先验证了所建议的基于覆盖的方法和基于常规类型的方法在处理不规则块接触方面的鲁棒性。然后，评估了具有不同接触公差的基于覆盖的方法的接触分析效率。可以将这种基于封面的方法扩展到3D情况，以对不规则多面体块进行有效而稳健的接触分析。首先验证了所建议的基于覆盖的方法和基于常规类型的方法在处理不规则块接触方面的鲁棒性。然后，评估了具有不同接触公差的基于覆盖的方法的接触分析效率。可以将这种基于封面的方法扩展到3D情况，以对不规则多面体块进行有效而稳健的接触分析。首先验证了所建议的基于覆盖的方法和基于常规类型的方法在处理不规则块接触方面的鲁棒性。然后，评估了具有不同接触公差的基于覆盖的方法的接触分析效率。可以将这种基于封面的方法扩展到3D情况，以对不规则多面体块进行有效而稳健的接触分析。