Generalized contact model for polyhedra in three-dimensional discontinuous deformation analysis
Generalized contact model for polyhedra in three-dimensional discontinuous deformation analysis
复制标题
三维不连续变形分析中多面体的广义接触模型
DOI：
10.1002/nag.2798
复制
发表时间：
2018
影响因子：
4
通讯作者：
Sitar Nicholas
中科院分区：
文献类型：
--
作者：
Zheng Fei;Jiao Yu-Yong;Sitar Nicholas
为了简化非连续变形分析中的接触分析，提出了一种适用于任意形状多面体的广义接触计算模型。在接触检测期间，可以为接触多面体建立广义接触约束列表。每个接触约束包含2个接触点、唯一接触平面和相关接触模式（打开、锁定或滑动）的信息。广义接触模型的计算方面包括接触位置和接触模式的识别、广义接触约束的统一惩罚公式以及开闭迭代中接触模式和接触平面的统一更新。与以往的策略相比，广义接触计算模型具有更简单的数据结构和更少的内存需求。同时，它简化了惩罚公式，便于开闭迭代检查，同时产生足够的精度。说明性的例子表明，该方法能够处理全范围的多面体形状。
We present a generalized contact computation model for arbitrarily shaped polyhedra to simplify the contact analysis in discontinuous deformation analysis. A list of generalized contact constraints can be established for contacting polyhedra during contact detection. Each contact constraint contains information for 2 contact points, unique contact plane, and related contact modes (open, locked, or sliding). Computational aspects of the generalized contact model include identification of contact positions and contact modes, uniform penalty formulation of generalized contact constraint, and uniform updating of contact modes and contact planes in the open‐close iteration. Compared with previous strategies, the generalized contact computation model has a simpler data structure and fewer memory requirements. Meanwhile, it simplifies the penalty formulation and facilitates the open‐close iteration check while producing enough accuracy. Illustrative examples show the ability of the method to handle the full range of polyhedral shapes.