基于局部凸分解的一般多面体接触搜索方法

doi:10.13722/j.cnki.jrme.2018.0853

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摘要为解决任意形状多面体非凸角接触不确定性问题，提出一种较易实现的多面体局部凸分解方案，沿各凹二面角的延伸平面角将任意角分解为凸子角集。采用该方案拓展的一般多面体进入面接触搜索方法具有普遍意义，实现了三维非连续变形分析法(DDA)一般多面体接触计算的功能。最后，拓展后的三维DDA程序展示了一般多面体局部凸分解、接触搜索与计算及碰撞接触力学行为分析方面的强大能力，验证了该方法的正确性和稳健性，表明拓展后的三维DDA程序可用于复杂的多面体块体系统力学行为分析。

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	张　洪1
	武　威1
	关晓飞2
	张迎宾3
	郑　路4
	5
	武艳强6
	陈光齐7

关键词 ：岩石力学, 岩体, 一般多面体, 接触搜索, 局部凸分解, 三维非连续变形分析法

Abstract：To address the indeterminacy of contacts involving nonconvex angles of arbitrarily shaped polyhedron，an easy-to-implement local convex decomposition method(LCD)，dividing any arbitrary angle along the extensive plane angle of concave dihedral angles into a set of convex angles，was proposed and employed to extend the entrance plane method(EPM). The LCD-EPM is a universal method for contact detection of general polyhedrons，and herein，enabled the use of a three-dimensional discontinuous deformation analysis (3-D DDA) to calculate contacts between general polyhedrons. Finally，the extended 3-D DDA program was used to illustrate the powerful ability of LCD including contact detection and calculation as well as an impact-contact behaviour analysis of general polyhedrons，which validates the correctness and robustness of the LCD-EPM. The extended 3-D DDA program can be applied in mechanical analyse of complex polyhedral block systems.

Key words： rock mechanics rock mass general polyhedron contact detection local convex decomposition three-dimensional discontinuous deformation analysis

引用本文:

张　洪1，武　威1，关晓飞2，张迎宾3，郑　路4，5，武艳强6，陈光齐7. 基于局部凸分解的一般多面体接触搜索方法[J]. 岩石力学与工程学报, 2018, 37(12): 2709-2720.
ZHANG Hong1，WU Wei1，GUAN Xiaofei2，ZHANG Yingbin3，ZHENG Lu4，5，WU Yanqiang6，CHEN Guangqi7. A contact detection algorithm of general polyhedrons based on local convex decomposition. , 2018, 37(12): 2709-2720.

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http://www.rockmech.org/CN/10.13722/j.cnki.jrme.2018.0853 或 http://www.rockmech.org/CN/Y2018/V37/I12/2709

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