The Analysis of Structure Deformation Using DDA with Third Order Displacement Function

Abstract:

Third order displacement function is introduced into DDA (DDA3O), which can easy to analysis the nonlinear distribution of deformation, stress and strain within a single block. In this paper, additional nodes were inserted on the boundary. So, when large deformation is involved, even the original straightly boundary of block will deform to one formed by curved edges, the simplex integration along the curved edge can increase accuracy and simulation of contact between blocks can be more reasonable. On the other hand，the problem of transferring the initial stress from previous step to next step is difficulty and unresolved problem, because of the strain matrix of high order displacement function involving the unknown variables x, y. A new method presented herein is inherent previous the displacement of block to next step, which is proved right and efficient. At last, some example was calculated to demonstrate the excellent accuracy and efficiency of DDA3O.

• Periodical: Advanced Materials Research (Volumes 446-449)
• Pages: 906-916
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.446-449.906
• Online since: January 2012
• Authors: Tao Huang, Yi Liu
• Keywords: DDA, Structure Deformation Analysis, Third Order Displacement Function

References

[1] Shi, Gen-Hua. Discontinuous Deformation Analysis-A New Numerical Model for the statics and Dynamics of Block Systems, Ph.D Dissertation, Department of Civil Engineering, University of California at Berkeley (1988).

[2] Ke, Te-chih. Artificial Joint-Based DDA, proceedings of the First International Forum on Discontinuous Deformation Analysis (DDA) and Simulation of Discontinuous Media, June 12-14, TSI Press: USA, 1996:326-333.

[3] CHUNG-YUE WANG, CHING-CHIANG CHUANG, JOPAN SHENG. Time Integration Theories for the DDA Method With Finite Element Meshes, proceedings of the First International Forum on Discontinuous Deformation Analysis (DDA) and Simulation of Discontinuous Media, June 12-14, TSI Press: USA, 1996:263-287.

[4] Ma Yong Zheng, Jiang Wei，Huang zhe Chong, Zheng Hong. A new meshfree displacement approximation mode for DDA method and its application, Proceedings of the Eighth international conference on analysis of Discontinuous Deformation Fundamentals & Applications to Mining & Civil Engineering, August 14-19, Beijing: 2007, 81-88.

[5] Koo, C.Y. and Chern, J.C. The development of DDA with third order displacement function, proceedings of the First International Forum on Discontinuous Deformation Analysis (DDA) and Simulation of Discontinuous Media, June 12-14, TSI Press: USA, 1996:342-349.

DOI: 10.3850/9789810844554-0089

[6] WANG Xiao-Bo, DING Xiu-Li, LU Bo, Wu Ai-Qing. DDA with high order polynomial displacement functions for large elastic deformation problems, proceedings of the 8th International Conference on Analysis of Discontinuous Deformation, August 14-19, Beijing: 2007,89-94.

[7] Max Y. Ma, M. Zaman, J.H. Zhu. Discontinuous Deformation Analysis Using the Third Order Displacement Function, proceedings of the First International Forum on Discontinuous Deformation Analysis(DDA) and Simulation of Discontinuous Media, June 12-14, TSI Press:USA,1996:383-394.

DOI: 10.3850/9789810844554-0089

[8] S.A.BEYABANAKI, A.JAFARI, M.R.YEUNG and S.O. BIABANAKI. Implementation of a trilinear hexahedron mesh into Three-Dimensional Discontinuous Deformation Analysis. Proceedings of the Eighth international conference on analysis of Discontinuous Deformation Fundamentals & Applications to Mining & Civil Engineering, August 14-19, Beijing: 2007, 51-55.

DOI: 10.1016/j.compgeo.2008.08.009

[9] G.X ZHANG, X.F WU. Influence of Seepage on the Stability of Rock Slope－Coupling of Seepage and Deformation By DDA Method[J], Chinese Journal of Rock Mechanical and Engineering, 2003, 22(8): 1269-1275.