A cover-based contact detection approach for irregular convex polygons in discontinuous deformation analysis

verfasst von: Xiaoying Zhuang, Fei Zheng, Hong Zheng, Yu-Yong Jiao, Timon Rabczuk, Peter Wriggers
Abstract: 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.
Organisationseinheit(en): Institut für Photonik
Institut für Kontinuumsmechanik
Externe Organisation(en): Tongji University
Beijing University of Technology
China University of Geosciences (CUG)
Ton Duc Thang University
Typ: Artikel
Journal: International Journal for Numerical and Analytical Methods in Geomechanics
Band: 45
Seiten: 208-233
Anzahl der Seiten: 26
ISSN: 0363-9061
Publikationsdatum: 05.01.2021
Publikationsstatus: Veröffentlicht
Peer-reviewed: Ja
ASJC Scopus Sachgebiete: Numerische Mechanik, Allgemeine Materialwissenschaften, Geotechnik und Ingenieurgeologie, Werkstoffmechanik
Elektronische Version(en): https://doi.org/10.1002/nag.3157 (Zugang: Offen)
: Details im Forschungsportal „Research@Leibniz University“

BibTeX

@article{17832d5fe3014e849b38b8b0d4f21ce6,
title = "A cover-based contact detection approach for irregular convex polygons in discontinuous deformation analysis",
abstract = "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.",
keywords = "contact cover, discontinuous deformation analysis, entrance block, irregular polygon, small angle, small edge",
author = "Xiaoying Zhuang and Fei Zheng and Hong Zheng and Yu-Yong Jiao and Timon Rabczuk and Peter Wriggers",
note = "Funding Information: This study was financially supported by Sofja Kovalevskaja Program from Alexander von Humboldt Foundation and the National Natural Science Foundation of China (51479191 and 11672360). ",
year = "2021",
month = jan,
day = "5",
doi = "10.1002/nag.3157",
language = "English",
volume = "45",
pages = "208--233",
journal = "International Journal for Numerical and Analytical Methods in Geomechanics",
issn = "0363-9061",
publisher = "John Wiley and Sons Ltd",
number = "2",
}