A combined finite-discrete element method in transient dynamics of fracturing solids

Engineering Computations

Volumn 12, Issue 2, 1995, Pages 145-174

  Munjiza, A ^a   Owen, D R J ^a   Bicanic, N ^a  

^a SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

Finite discrete elements Progressive fracturing Deformable finite elements

Indexed keywords

ALGORITHMS; DEFORMATION; FINITE ELEMENT METHOD; PROBLEM SOLVING; SOLIDS; DYNAMICS; FRACTURE MECHANICS; KINEMATICS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS;

DEFORMABLE FINITE ELEMENTS; FRACTURING SOLIDS; INDUSTRIAL SECTIONS; PROGRESSIVE FRACTURING; DISCRETE ELEMENT METHOD; TRANSIENT DYNAMICS;

FRACTURE; COMPUTATIONAL METHODS;

EID: 0029255305     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/02644409510799532     Document Type: Article

References (32)

1. Goodman, R. E., Taylor, R. L. and Brekke, T. A model for mechanics of jointed rock, J. of Soil Mechanics & Foundation Division, Proc. ASCE, 94, SM3 (1968)
2. Cundall, P. A. A computer model for simulating progressive, large-scale movements in blocky rock systems, Proc. Int. Symp. on Rock Fracture, Nancy, France, 11–8 (1971)
3. Livesley, R. K. Limit analysis of structures formed from rigid blocks, Int. J. Num. Meth. in Eng., 12, 1853–1871 (1978)
4. Cundall, P. A. and Strack, O. D. L. A discrete numerical model for granular assemblies, Geotechnique, 29, 47–65 (1979)
5. Huston, R. L. and Passerello, C. On multi rigid body system dynamics, Computers & Structures, 10, 439–446 (1979)
6. Cindall, P. A. and Strack, O. D. L. The distinct element method as a tool for research in granular media, Part II, Report to NSF, Dept. of Civil and Mineral Engineering, Univ. of Minnesota (1979)
7. Cundall, P. A. and Strack, O. D. L. The development of constitutive laws for soil using distinct element method, Proc. 3rd Num. Meth. in Geomechanics, Aachen, 289–298 (1979)
8. Park, K. C. and Underwood, P. A variable-step central difference method for structural dynamic analysis - Part 1. Theoretical aspects, Comp. Meth. Appl. Mech. Eng., 22, 241–258 (1980)
9. Walton, O. R. Explicit particle dynamics model of granular materials, 4 th Int. Conf. on Num. Meth. in Geomechanics. Edmonton, Canada, 1261–1268 (1982)
10. Walton, O. R. Particle-dynamic calculations of shear flow, in Mechanics of Granular Materials: New Models and Constitutive Relations (Eds. Jenkins and Satake), Elsevier Science Publ., Amsterdam, Netherlands, 327–338 (1983)
11. Belytschko, T., Plesha, M. and Dowding, C. H. A computer model for stability analysis of caverns in jointed rock, Int. J. Num. Anal. Meth. in Geomechanics, 8, 473—492 (1984)
12. Lemos, J., Hart, R. D. and Cundall, P. A. A generalized distinct element program for modelling jointed rock mass, in Fundamentals of Rock Joints (Ed. Stephansson, O.), Centek Publishers, Lulea, 335–343 (1985)
13. Williams, J. R., Hocking, G. and Mustoe, G. G. W. The theoretical basis of discrete element method, NUMETA '85, Num. Meth. in Eng., Theory and Applications, Balkema, Rotterdam (1985)
14. Thornton, C. and Barnes, D. J. Computer simulated deformation of compact granular assemblies, Acta Afechanica, 64, 45–61 (1986)
15. Ting, J. M., Corkum, B. T. and Greco, C. Application of the distinct element method in geotechnical engineering, Proc. 2nd Int. Symp. on Num. Models in Geomech., Ghent, Belgium (1986)
16. Williams, J. R. and Mustoe, G. G. W. Model methods for the analysis of discrete systems, Comp. and Geotechnics, 4, 1–19 (1987)
17. Uemura, D. and Hakuno, M. Granular assembly simulation with Cundall's model for the dynamic collapse of the structural foundation, Structural Eng./Earthquake Eng., Japan Soc. of Civil Eng., 4 1, 181–190 (1987)
18. 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, Int. J. Rock Mech., 25, 107–116 (1988)
19. Hocking, G., Mustoe, G. and Williams, J. R. Dynamic Analysis for Generalized Three Dimensional Contact and Fracturing of Multiple Bodies, INTERA Technologies, Inc. (1988)
20. Takeuchi, N. and Kawai, T. A discrete limit analysis of granular materials including effects of the solid contact, in Miceomechanics of Granular Material (Eds. Satake, M. and Jenkins, J. T.), Elsevier Science Publishers, Amsterdam, 103–112 (1988)
21. Jacota, A. and Dawson, P. R. Micromechanical modelling of powder compacts - 11. Truss formulation of discrete packings, Acta Metall., 36 9, 2563–2573 (1988)
22. Gen-Hua, S. and Goodman, R. E. Discontinuous deformation analysis - a new method for computing stress, strain and sliding of block systems, in Key Questions in Mechanics (Eds. P. A. Cundall et al.), Balkema, Rotterdam, 381–393 (1988)
23. Bathurst, R. J. and Rothenburg, L. Micromechanical aspects of isotropic granular assemblies with linear contact interactions, J. of Applied Mech., 55, 17–23 (1988)
24. Lin, D. and Fairhurst, C. Static analysis of the stability of three-dimensional blocky systems around excavations in rock, Int. J. Rock Mech., 25 3, 138–147 (1988)
25. Pentland, A. and Williams, J. Fast simulations on small computers: Model dynamics applied to volumetric modes, Proc. 20th Annual Modeling and Simulation Conf., Pittsburg (1989)
26. Munjiza, A., Bicanic, N., Owen, D. R. J. and Ren, Z. The central difference time integration scheme in contact impact problems, Proc. NEC-91, Int. Conf. on Nonlinear Eng. Comp., (Eds. Bicanic et al.), Sept. 1991, 569–576, Pineridge Press (1991)
27. Owen, D. R. J., Munjiza, A. and Bicanic, N. A finite element-discrete element approach to the simulation of rock blasting problems, Proc. FEMSA-92, 11th Symp. on Finite Element Methods in South Africa, Cape Town, 39–59 (1992)
28. Mustoe, G. and Williams, J. R. Proc. 1st US Conf. on Discrete Element Meth., Golden, Colorado (1989)
29. Bardet, J. B. and Proubet, J. Adaptive dynamic relaxation for statics of granular materials, Comp. & Struct., 39, No. 3-4, 221–229 (1991)
30. Zhong, Z. H. and Nilsson, L. A contact searching algorithm for general 3D contact-impact problems, Comp. Struct., 34, 327–335 (1990)
31. Jorgenson, G. K. and Chung, S. H. Blast simulation-surface and underground with SABREX model, CIM Bulletin, 37–41 (1987)
32. Williams, J. R. and Mustoe, G. Proc. 2nd US Conf. on Discrete Element Meth., MIT, MA (1993)