Some modifications to the process of discontinuous deformation analysis
This paper presents a modified method of discontinuous deformation analysis (DDA). In the presented method, open-close iteration may not be needed, small penetration is permitted among blocks, and springs are added between contacting block pairs only when a penetration takes place. The three contact...
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doaj-fd5beacbe7cd450ba5f1210e7cd5dd2b2020-11-25T00:21:47ZengElsevierJournal of Rock Mechanics and Geotechnical Engineering1674-77552015-02-01719510010.1016/j.jrmge.2014.12.001Some modifications to the process of discontinuous deformation analysisYong Yu0Jianmin Yin1School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu, Sichuan 610031, ChinaYangtze River Scientific Research Institute, Wuhan, Hubei 430010, ChinaThis paper presents a modified method of discontinuous deformation analysis (DDA). In the presented method, open-close iteration may not be needed, small penetration is permitted among blocks, and springs are added between contacting block pairs only when a penetration takes place. The three contact patterns (i.e. sliding, locking and opening) in original DDA method are not involved, and the recognition of these contact patterns and treatment of transformation among patterns are not required either, significantly saving the computing time. In a convex to concave contact, there are two candidate entrance edges which may cause uncertainty. In this case, we propose the angle bisector criterion to determine the entrance edge. The spring stiffness is much larger than Young's modulus in the original DDA, however we find that the correct results can still be obtained when it is much smaller than Young's modulus. Finally, the penetrations by using penalty method and augmented Lagrangian method are compared. Penetration of the latter is 1/4 of the former. The range of spring stiffness for the latter is wider than the former, being 0.01–1 of the former. Both methods can lead to correct contact forces.http://www.sciencedirect.com/science/article/pii/S1674775514001012Discontinuous deformation analysis (DDA)Open-close iterationContact forceVertex–vertex contactAngle bisectorAugmented Lagrangian method (ALM) |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yong Yu Jianmin Yin |
spellingShingle |
Yong Yu Jianmin Yin Some modifications to the process of discontinuous deformation analysis Journal of Rock Mechanics and Geotechnical Engineering Discontinuous deformation analysis (DDA) Open-close iteration Contact force Vertex–vertex contact Angle bisector Augmented Lagrangian method (ALM) |
author_facet |
Yong Yu Jianmin Yin |
author_sort |
Yong Yu |
title |
Some modifications to the process of discontinuous deformation analysis |
title_short |
Some modifications to the process of discontinuous deformation analysis |
title_full |
Some modifications to the process of discontinuous deformation analysis |
title_fullStr |
Some modifications to the process of discontinuous deformation analysis |
title_full_unstemmed |
Some modifications to the process of discontinuous deformation analysis |
title_sort |
some modifications to the process of discontinuous deformation analysis |
publisher |
Elsevier |
series |
Journal of Rock Mechanics and Geotechnical Engineering |
issn |
1674-7755 |
publishDate |
2015-02-01 |
description |
This paper presents a modified method of discontinuous deformation analysis (DDA). In the presented method, open-close iteration may not be needed, small penetration is permitted among blocks, and springs are added between contacting block pairs only when a penetration takes place. The three contact patterns (i.e. sliding, locking and opening) in original DDA method are not involved, and the recognition of these contact patterns and treatment of transformation among patterns are not required either, significantly saving the computing time. In a convex to concave contact, there are two candidate entrance edges which may cause uncertainty. In this case, we propose the angle bisector criterion to determine the entrance edge. The spring stiffness is much larger than Young's modulus in the original DDA, however we find that the correct results can still be obtained when it is much smaller than Young's modulus. Finally, the penetrations by using penalty method and augmented Lagrangian method are compared. Penetration of the latter is 1/4 of the former. The range of spring stiffness for the latter is wider than the former, being 0.01–1 of the former. Both methods can lead to correct contact forces. |
topic |
Discontinuous deformation analysis (DDA) Open-close iteration Contact force Vertex–vertex contact Angle bisector Augmented Lagrangian method (ALM) |
url |
http://www.sciencedirect.com/science/article/pii/S1674775514001012 |
work_keys_str_mv |
AT yongyu somemodificationstotheprocessofdiscontinuousdeformationanalysis AT jianminyin somemodificationstotheprocessofdiscontinuousdeformationanalysis |
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1725360962589949952 |