1. State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China; 2. China State Construction Property Corp. Ltd., Beijing 100037, China; 3. Chengdu Hydroelectric Investigation & Design Institute of SPC, Chengdu 610072, China
The three-dimensional mode-deformable discrete element method (3MDEM) is an extended distinct element approach under the assumptions of small strain, finite displacement, and finite rotation of blocks. The deformation of blocks is expressed by the combination of the deformation modes in 3MDEM. In this paper, the elastoplastic constitutive relationship of blocks is implemented on the 3MDEM platform to simulate the integrated process from elasticity to plasticity and finally to fracture. To overcome the shortcomings of the conventional criterion for contact fracturing, a new criterion based on plastic strain is introduced. This approach is verified by two numerical examples. Finally, a cantilever beam is simulated as a comprehensive case study, which went through elastic, elastoplastic, and discontinuous fracture stages.
Corresponding Author(s):
JIN Feng,Email:jinfeng@tsinghua.edu.cn
引用本文:
. 3D mode discrete element method with the elastoplastic model[J]. Frontiers of Structural and Civil Engineering, 2012, 6(1): 57-68.
Wei HU, Feng JIN, Chong ZHANG, Jinting WANG. 3D mode discrete element method with the elastoplastic model. Front Struc Civil Eng, 2012, 6(1): 57-68.
Cundall P A. Computer model for simulating progressive large scale movements in blocky systems. Proc. Symp. Int. Soci. Rock Mech., Nancy, France , Vol. 1, paper No II-8, 1971
2
Cundall P A. Formulation of a three-dimensional distinct element model—Part I. A scheme to detect and represent contacts in a system composed of many polyhedral blocks. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts , 1988, 25(3): 107-116 doi: 10.1016/0148-9062(88)92293-0
3
Hart R, Cundall P A, Lemos J. Formulation of a three-dimensional distinct element model—Part II. Mechanical calculations for motion and interaction of a system composed of many polyhedral blocks. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts , 1988, 25(3): 117-125 doi: 10.1016/0148-9062(88)92294-2
4
Cundall P A. UDEC-A generalized discrete element program of modeling jointed rock. European Research Office, U.S. Army, 1980
5
Itasca, 3DEC- 3 Dimensional discrete element code, Version 3.0, User’s manual, Itasca Consulting Group, Inc. USA . 1996
6
Williams J R, Hocking G, Mustoe G G W. The theoretical basis of the discrete element method, Proceedings of the NUMETA conference, Swansea, 1985, 7-11
7
Williams J R, Mustoe G G W. Modal methods for the analysis of discrete systems. Computers and Geotechnics , 1987, 4(1): 1-19 doi: 10.1016/0266-352X(87)90022-X
8
Shi G H. Discontinuous Deformation Analysis- A New Numerical Model for the Statics and Dynamics of Block Systems, Lawrence Berkeley Laboratory, Report to DOE OWTD, ContractAC03-76SF0098, September 1988; also DissertationTip, University of California, Berkeley , August, 1989
9
Cundall P A, Marti J, Beresford P J, Last N C, Asgian M I. Computer Modeling of Jointed Rock Masses, U.S. Army Engineer Waterways Experiment Station, Vicksburg, Mississippi, Tech. Report N-78-4, August, 1978
10
Genhua S. Discontinuous deformation analysis: A new numerical model for the statics and dynamics of deformable block structures, Engineering Computations, 1992. 9
11
Chong Z, Feng J, Yanli H. 3-D simple deformable distinct element method. Chinese Journal of Geotechnical Engineering , 2007, 29(4): 6-10 (in Chinese)
12
Jin F, Zhang C, Hu W, Wang J. 3-D mode discrete element method: elastic model. International Journal of Rock Mechanics and Mining Sciences , 2011, 48(1): 59-66 doi: 10.1016/j.ijrmms.2010.11.003
