Simulations of fracture and fragmentation of geologic materials using combined FEM/DEM analysis

International Journal of Impact Engineering

Volumn 33, Issue 1-12, 2006, Pages 463-473

  Morris, J P ^a   Rubin, M B ^b   Block, G I ^a   Bonner, M P ^a  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

DEM; Distinct elements; FEM; Fracture; Fragmentation

Indexed keywords

COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; FRACTURE; IMPACT TESTING; SHOCK WAVES;

FRAGMENTATION; IMPACT LOADING; LIVERMORE DISTINCT ELEMENT CODE (LDEC);

ROCK MECHANICS;

EID: 33845185776     PISSN: 0734743X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijimpeng.2006.09.006     Document Type: Article

References (28)

1. Cundall P.A., and Hart D.H. Numerical modeling of discontinua. Eng Comput 9 (1992) 101-113
2. Cundall P.A., and Strack O.D.L. A discrete numerical model for granular assemblies. G'eotechnique 29 (1979) 47-65
3. Cleary PW. Extensions of the hybrid method for granular flows. In: Proceedings of the fifth international computational techniques and applications conference, Adelaide, Australia; 1991.
4. Cundall PA. UDEC-A generalized distinct element program for modeling jointed rock. Final Technical Report Eur Res Office (US Army Contract DAJA37-79-C-0548), NTIS order No. AD-A087 610/2, 1980.
5. Walton O.R. Particle dynamics modeling of geological materials (1980), Lawrence Livermore National Laboratory UCRL-52915
6. Cundall PA, Hart RD. Development of generalized 2D and 3D distinct element programs for modeling jointed rock. Miscellaneous Paper SL-85-1, US Army Corps of Engineers, SL-85-1, 1985.
7. 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 Min Sci Geomech Abstr 25 (1988) 107-116
8. Hart R., Cundall P.A., and 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. Int J Rock Mech Min Sci Geomech Abstr 25 (1988) 117-125
9. Cundall P.A. A discontinuous future for numerical modeling in geomechanics?. Proc Inst Civ Eng-Geotech Eng 149 (2001) 41-47
10. Antonellini M.A., and Pollard D.D. Distinct element modeling of deformation bands in sandstone. J Struct Geol 17 (1995) 1165-1182
11. Morgan J.K. Numerical simulations of granular shear zones using the distinct element method 1. Shear zones kinematics and the micromechanics of localization. J Geophys Res 104 (1999) 2703-2719
12. Morgan J.K. Numerical simulations of granular shear zones using the distinct element method 2. Effects of particle size distribution and interparticle friction on mechanical behavior. J Geophys Res 104 (1999) 2721-2732
13. Heuze F.E., Walton O.R., Maddix D.M., Shaffer R.J., and Butkovich T.R. Analysis of explosions in hard rocks: the power of discrete element modeling. In: Hudson J.A., Brown E.T., Fairhurst C., and Hoek E. (Eds). Comprehensive rock engineering (1993), Pergamon Press, New York, NY 387-413
14. Sanderson DJ, Zhang X. Deformation, damage, and fluid flow in fracture networks and around faults. Fall Meeting of the American Geophysical Union, 1998.
15. Morris JP. Review of Rock Joint Models, Lawrence Livermore National Laboratory, UCRL-ID-153650, 2003. See 〈http://www-r.llnl.gov/tid/lof/documents/pdf/244645.pdf〉.
16. Morris J.P., Glenn L.A., and Blair S.C. The distinct element method-application to structures in jointed rock. Lecture notes in computational science and engineering: meshfree methods Vol. 26 (2002), Springer, Heidelberg 291-306
17. Morris J.P., Rubin M.B., Blair S.C., Glenn L.A., and Heuze F.E. Simulations of underground structures subjected to dynamic loading using the distinct element method. Eng Comput 21 (2004) 384-408
18. Rubin M.B. Numerical solution of two- and three-dimensional thermomechanical problems using the theory of a Cosserat point. In: Casey J., and Crochet M.J. (Eds). Journal of Mathematics and Physics (ZAMP) Vol. 46 (1995), Brikhauser Verlag, Basel S308-S334
19. Rubin M.B. Cosserat theories: shells, rods and points, solid mechanics and its applications (2000), Kluwer, The Netherlands
20. Dugdale D.S. Yielding of steel sheets containing slits. J Mech Phys Solids 8 (1960) 100-104
21. Barrenblatt G.I. The mathematical theory of equilibrium of cracks in brittle fracture. Adv Appl Mech 7 (1962) 55-129
22. Xu X.-P., and Needleman A. Numerical simulations of fast crack growth in brittle solids. J Mech Phys Solids 42 (1994) 1397-1434
23. Camacho G.T., and Ortiz M. Computational modeling of impact damage in brittle materials. Int J Solids Struct 33 (1996) 2899-2938
24. Papoulia K.D., Sam C.-H., and Vavasis S. Time continuity in cohesive finite element modeling. Int J Numer Meth Eng 58 (2003) 679-701
25. Freund L.B. Dynamic fracture mechanics (1990), Cambridge University Press, New York, NY
26. Ruiz G., Ortiz M., and Pandolfi A. Three-dimensional finite-element simulation of the dynamic Brazilian tests on concrete cylinders. Int J Numer Meth Eng 48 (2000) 963-994
27. Sharon E., and Fineberg J. Microbranching instability and the dynamic fracture of brittle materials. Phys Rev B 54 (1996) 7128-7139
28. Nguyen O., and Ortiz M. Coarse-graining and renormalization of atomistic binding relations and universal macroscopic cohesive behavior. J Mech Phys Solids 50 (2002) 1727-1741