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Generalized contact model for polyhedra in three‐dimensional discontinuous deformation analysis
Author(s) -
Zheng Fei,
Jiao YuYong,
Sitar Nicholas
Publication year - 2018
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.2798
Subject(s) - polyhedron , computation , discontinuous deformation analysis , constraint (computer aided design) , penalty method , contact analysis , deformation (meteorology) , contact mechanics , contact force , range (aeronautics) , computer science , mathematics , algorithm , mathematical optimization , geometry , structural engineering , engineering , physics , finite element method , classical mechanics , meteorology , aerospace engineering
Summary 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.