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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 723263, 19 pages
Research Article

Discontinuous Deformation Analysis Enriched by the Bonding Block Model

1Department of Applied Mathematics, Xidian University, Xi’an 710126, China
2School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China
3University of Chinese Academy of Science, Beijing 100049, China

Received 21 January 2015; Accepted 5 March 2015

Academic Editor: Fabio Tramontana

Copyright © 2015 Yue Sun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The discontinuous deformation analysis (DDA) has been extensively applied in geotechnical engineering owing to its salient merits in the modeling of discontinuities. However, this method assumes a constant stress field within every block and hence cannot provide reliable estimation for block deformations and stresses. This paper proposes a novel scheme to improve the accuracy of the DDA. In our method, advanced subdivision is introduced to represent a block as an assembly of triangular or quadrilateral elements, in which overlapped element edges are separated from each other and are glued together by bonding springs. The accuracy and the effectiveness of the proposed method are illustrated by three numerical experiments for both continuous and discontinuous problems.