Simulation of high velocity concrete fragmentation using SPH/MLSPH

International Journal for Numerical Methods in Engineering

Volumn 56, Issue 10, 2003, Pages 1421-1444

  Rabczuk, T ^a   Eibl, J ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

Concrete; Fragmentation; Meshfree methods; SPH

Indexed keywords

COMPUTER SIMULATION; HYDRODYNAMICS; LAGRANGE MULTIPLIERS; LEAST SQUARES APPROXIMATIONS;

EXPLOSIVE LOADINGS;

CONCRETE SLABS;

MATHEMATICAL METHOD;

EID: 0037436542     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.617     Document Type: Article

References (37)

1. Lucy. A numerical approach to the testing of fission hypothesis. Astronomical Journal 1977; 82:1013-1024.
2. Gingold RA, Monaghan JJ. Smoothed particle hydro-dynamics: theory and applications to non-spherical stars. Monthly Notices of the Royal Astronomical Society 1977; 181:375-389.
3. Belytschko T, Krongauz Y, Dolbow J, Gerlach C. On the completeness of meshfree particle methods. International Journal for Numerical Methods in Engineering 1998; 43:785-819.
4. Bonet J. Lok T.-S.L. Variational and momentum preservation aspects of Smooth Particle Hydrodynamics formulations. Computer Methods in Applied Mechanics and Engineering 1999; 180:97-155.
5. Dilts GA. Moving least squares particle hydrodynamics II: conservation and boundaries. International Journal for Numerical Methods in Engineering 2000; 1503-1524.
6. Dilts GA. Moving-least-squares-particle hydrodynamics I: consistency and stability. International Journal for Numerical Methods in Engineering 1999; 44:S.1115-1155.
7. Dilts GA. Some recent developments for moving-least-squares particle methods. First M.I.T. Conference on Computational Fluid and Soil Mechanics, June 12-14, 2001, Preprint, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.
8. Johnson GR, Beissel SR, Stryk RA. A generalized particle algorithm for high velocity impact computations. Computational Mechanics 2000; 25:S.245-256.
9. Randles PW, Libersky LD et al. Recent improvements in SPH modeling of hypervelocity impact. International Journal of Impact Engineering 1997; 20:525-532.
10. Randles PW, Libersky LD. Normalized SPH with stress points. International Journal for Numerical Methods in Engineering 2000; 48:1445-1462.
11. Monaghan JJ. Extrapolating B splines for interpolation. Journal of Computational Physics 1985; 60:S.253-262.
12. Monaghan JJ. Kernel estimates as a basis for general particle methods in hydrodynamics. Journal of Computational Physics 1982; 46:S.429-453.
13. Johnson GR, Beissel SR. Normalized smoothing functions for SPH impact computations. International Journal for Numerical Methods in Engineering 1996; 39:S.2725-2741.
14. Belytschko T, Krongauz K, Organ D, Fleming M, Krysl P. Meshless methods: an overview and recent developments. Computer Methods in Applied Mechanics and Engineering 1996; 139:S.3-47.
15. Monaghan JJ. An introduction to SPH. Computational Physics Communications 1988; 48:89-96.
16. Krongauz Y, Belytschko T. Consistent pseudo derivatives in meshless methods. Computer Methods in Applied Mechanics and Engineering 1997a; 146:371-386.
17. Scheffer U, Hiermaier S. Improving a SPH code by alternative interpolation schemes. Baustatik-Baupraxis, 7 Meskouris, 1999 Balkema, Rotterdam.
18. Belytschko T, Lu YY, Gu L. Element-free Galerkin methods. International Journal for Numerical Methods in Engineering 1994; 37:229-256.
19. Belytschko T, Krongauz L, Fleming M, Organ D, Liu WK. Smoothing and accelerated computations in the element free Galerkin method. Journal of Computational and Applied Mathematics 1996: 74:111-126.
20. Sauer M, Hiermaier S, Scheffer U. Modeling penetration events using FE/MLSPH adaptive coupling. Sixth U.S. National Congress on Computational Mechanics, 1-4 August 2001, Dearborn: Michigan, USA.
21. Monaghan JJ, Gingold RA. Shock simulation by the particle method SPH. Journal of Computational Physics 1983; 52:S.374-389.
22. Sauer M. Adaptive Kopplung des netzfreien SPH-Verfahrens mit finiten Elementen zur Berechnung von Impaktvorgaengen. Dissertation, Universitaet der Bundeswehr Muenchen, 2000.
23. Rabczuk T. Numerische Untersuchungen zum Fragmentierungsverhalten von Beton mit Hilfe der SPH-Methode. Dissertation, Inst. Massivbau, Universitaet Karlsruhe, 2002.
24. Geers N. Benutzerhandbuch IBM RS/6000 SP Version 1.3, 1998, http://www.uni-karlsruhe.de/SP/Handbuch/, Universitaet Kalrsruhe, Rechenzentrum.
25. Namburu RR, Turner DA. Contact impact algorithm on a data parallel computer. In High-Performance Computing in Computational Dynamics. ASME: New York, 1994: 111-119.
26. Plaskacz EJ, Belytschko T, Chiang HY. Contact impact simulation on massively parallel simd computers. Computing Systems in Engineering 1992; 3:347-355.
27. Zhong ZH, Nilson L. Contact impact algorithms on parallel computers. Nuclear Engineering and Design 1994; 150:253-263.
28. Har LA. New scalable parallel finite element approach for contact impact problems. Ph.D. Thesis, Georgia Institute of Technology, Atlanta, GA, 1998.
29. Brown K, Attaway S, Plimpton S, Hendrickson B. Parallel strategies for crash and impact simulations. Computer Methods in Applied Mechanics and Engineering 2000; 184:375-390.
30. Schmidt-Hurtienne: Ein dreiaxiales Schaedigungsmodell zur Beschreibung des Dehnrateneffektes von Beton. Dissertation, Institut fuer Massivbau und Baustofftechnologie, Universitaet Karlsruhe, 2000.
31. Eibl J. Ein neuer Ansatz fuer ein Stoffgesetz zur Beruecksichtigung grosser Dehngeschwindigkeiten bej zugbeanspruchten Proben, Waubke-Festschrift, BMI 9/1996, Schriftenreihe des Instituts fuer Baustofflehre und Materialpruefung der Universitaet Innsbruck.
32. Hermann N. Dissertation in Vorbereitung, Institut fuer Massivbau und Baustofftechnologie, Universitaet Karlsruhe.
33. Dobratz BM. Properties of chemical explosives and explosive simulants. Livermore: Lawrence Livermore Laboratory, 1974.
34. Hsieh SS, Ting EC, Chen WF. A plasticity-fracture model for concrete. International Journal of Solids and Structures 1982; 18:S.181-197.
35. Ockert. Ein Stoffgesetz fuer die Schockwellenausbreitung in Beton. Dissertation, Institut fuer Massivbau und Baustofftechnologie, Universitaet Karlsruhe, 1997.
36. Sauer M, Hiermaier S. Berechnungsverfahren fuer hochdynamisch belastete Bauwerke mit hybrider (netzbasierter/netzfreier). Diskretisierung, Baustatik-Baupraxis, 7 Meskouris, 1999 Balkema, Rotterdam.
37. Swegle JW, Attaway SW et al. An Analysis of Smoothed Particle Hydrodynamics. Sandia Report SAND 93-2513, 1994, SNL, Albuquerque, NM 87185.