Investigating shear mechanics of discontinuous deformation analysis
GONG Wen-jun1, 2, 3, WANG Yun-sheng3, LUO Yong-hong3
1. Department of Civil Engineering, Beihang University, Beijing 100083, China; 2.Department of Geotechnical Engineering, China Institute of Water Resources and Hydropower, Beijing 100048, China; 3. State Key laboratory of Geohazard Prevention and Geoenvironmental Protection, Chengdu University of Technology, Chengdu 610059, China
Abstract:Using a classical case, a block on an incline, shear mechanics of discontinuous deformation analysis (DDA) for frictional interface is especially investigated. The results reveal that two contact states are commonly emerged in one edge-to-edge contact, even when the frictional angel is slightly above the theoretical critical friction angle . Owing to that the state of the block will be prevented in the following processes, unreasonable energy will be inevitably produced, which will also make the block hard to get steady. When the Young’s modulus of the block is fixed, carefully selecting a penalty value is required for DDA to stabilize the block when the friction angle is slightly above . A further investigation reveals the main cause is that individually analyzing the two vertex-to-edge contacts in one edge-to-edge contact. Instead individually analyzing the two contacts in one edge-to-edge contact, this study introduces an edge-to-edge treatment to overcome the deficiency of the original DDA. The test results indicate that the new improved DDA can handle well shear problems with high accuracy, and the penalty value and Young’s modulus of the block have little influence on its accuracy.
龚文俊, 王运生, 罗永红. 非连续变形分析方法(DDA)剪切机制研究[J]. 岩土工程学报, 2016, 38(11): 2059-2068.
GONG Wen-jun, WANG Yun-sheng, LUO Yong-hong. Investigating shear mechanics of discontinuous deformation analysis. Chinese J. Geot. Eng., 2016, 38(11): 2059-2068.
[1] SITAR N S, MACLAUGHLIN M M, DOOLIN D M. Influence of kinematics on landslide mobility and failure mode[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2005, 131(6): 716-728. [2] JING L. A review of techniques, advances and outstanding issues in numerical modeling for rock mechanics and rock engineering[J]. International Journal of Rock Mechanics and Mining Sciences, 2003, 40(3): 283-353. [3] CHENG Y M. Advancements and improvement in discontinuous deformation analysis[J]. Computers and Geotechnics, 1998, 22(2): 153-163. [4] MACLAUGHLIN M M, DOOLIN D M. Review of validation of the discontinuous deformation analysis (DDA) method[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2006, 30: 271-305. [5] CHEN Z Y, GONG W J, MA G W, et al. Comparisons between centrifuge and numerical modeling results for slope toppling failure[J]. Science China Technological Sciences, 2015, 58(9): 1497-1508. [6] ZHENG H, JIANG W. Discontinuous deformation analysis based on complementary theory[J]. Sci China ser E-Tech Sci, 2009, 52(9): 2547-2554. [7] ZHENG H, LI X K. Mixed linear complementarity formulation of discontinuous deformation analysis[J]. International Journal of Rock Mechanics & Mining Sciences, 2015, 75(1): 23-32. [8] LI X K, ZHENG H. Condensed form of complementarity formulation for discontinuous deformation analysis[J]. Sci China ser E-Tech Sci, 2015, 58(9): 1509-1519. [9] DOOLIN D M, SITAR N. Displacement accuracy of discontinuous deformation analysis method applied to sliding block[J]. Journal of Engineering Mechanics, 2002, 128(11): 1158-1168. [10] MACLAUGHLIN M M. Discontinuous deformation analysis of the kinematics of landslides[D]. Berkeley: University of California, 1997. [11] HATZOR Y H, FEINTUCH A. The validity of dynamic block displacement prediction using DDA[J]. International Journal of Rock Mechanics and Mining Sciences, 2001, 38(4): 599-606. [12] TSESARKY M, HATZOR Y H, SITAR N. Dynamic displacement of a block on an inclined plane: Analytical, experimental and DDA results[J]. Rock Mechanics and Rock Engineering, 2005, 38(2): 153-167. [13] YEUNG M C R. Application of Shi’s discontinuous deformation analysis to the study of rock behavior[D]. Berkeley: University of California, 1991. [14] WANG L Z, JIANG H Y, YANG Z X, et al. Development of discontinuous deformation analysis with displacement- dependent interface shear strength[J]. Computers and Geotechnics, 2013, 47: 91-101. [15] ZHANG Y B, XU Q, CHENG G Q, et al. Extension of discontinuous deformation analysis and application in cohesive-friction slope analysis[J]. International Journal of Rock Mechanics and Mining Sciences, 2014, 70: 533-545. [16] 马永政, 郑 宏, 朱合华, 等. DDA法计算边坡安全系数的黏聚力影响分析[J]. 岩土工程学报, 2009, 31(7): 1088-1093. (MA Yong-zhegn, ZHENG Hong, ZHU He-hua, et al. Effect of cohesion on evaluating slope stability factor of safety by DDA method[J]. Chinese Journal of Geotechnical Engineering, 2009, 31(7): 1088-1093. (in Chinese))