Particle methods offer an efficient modeling approach to number of impact dynamics problems not well suited to conventional Eulerian finite difference or Lagrangian finite element methods. Unfortunately, the most popular of these particle methods (smooth particle hydrodynamics) exhibits important deficiencies, in part related to its treatment of boundaries and interparticle tension, and suffers from a rather ad hoc model formulation approach. A hybrid particle-element kinematic scheme and an energy-based, bond graph modeling approach have been combined to produce a new impact dynamics simulation method, free of many problems which have hindered the effective application of various particle and continuum methods. [S0022-0434(00)00602-X]
Issue Section:
Technical Papers
1.
Hallquist, J. O., 1983, Theoretical Manual for DYNA3D, Lawrence Livermore National Laboratory, Livermore, CA.
2.
Fahrenthold
, E. P.
, and Wargo
, J. D.
, 1994
, “Lagrangian Bond Graphs for Solid Continuum Dynamics Modeling
,” ASME J. Dyn. Syst., Meas., Control
, 116
, No. 2
, pp. 178
–192
.3.
Peyret, R., and Taylor, T. D., 1983, Computational Methods for Fluid Flow, Springer-Verlag, NY.
4.
Wendt, J. F., ed., 1992, Computational Fluid Dynamics, Springer-Verlag, NY.
5.
Carey, G. F, and Oden, J. T., 1986, Finite Elements: Fluid Mechanics, Prentice-Hall, Inc., Englewood Cliffs, NJ.
6.
Fahrenthold
, E. P.
, and Venkataraman
, M.
, 1996
, “Eulerian Bond Graphs for Fluid Continuum Dynamics Modeling
,” ASME J. Dyn. Syst., Meas., Control
, 118
, No. 1
, pp. 48
–57
.7.
Monaghan
, J. J.
, 1985
, “Particle Methods for Hydrodynamics
,” Comput. Phys. Rep.
, 3
, pp. 71
–124
.8.
Monaghan, J. J., Thompson, M. C., and Hourigan, K., 1994, “Simulation of Free Surface Flows With SPH,” Advances in Computational Methods in Fluid Dynamics, ASME FED 196, pp. 375–380.
9.
Anderson, C. E., Jr., ed., 1986, “Hypervelocity Impact: Proceedings of the 1986 Symposium,” International Journal of Impact Engineering, 5, No. 1–4.
10.
Hertel, E. S., 1993, Comparison of Analytic Whipple Bumper Shield Ballistic Limits with CTH Simulations, SAND92-0347, Sandia National Laboratories, Albuquerque, NM.
11.
Fahrenthold
, E. P.
, 1993
, “A Lagrangian Model for Debris Cloud Dynamics Simulation
,” Int. J. Impact Eng.
, 14
, pp. 229
–240
.12.
Hockney, R. W., and Eastwood, J. W., 1981, Computer Simulation Using Particles, McGraw-Hill, NY.
13.
Swegle
, J. W.
, Hicks
, D. L.
, and Attaway
, S. W.
, 1995
, “Smooth Particle Hydrodynamics Stability Analysis
,” J. Comput. Phys.
, 116
, pp. 123
–134
.14.
Fritts, M. J., Crowley, W. P., and Trease, H. E., eds., 1985, The Free-Lagrange Method, Springer-Verlag, NY.
15.
Trease, H. E., Fritts, M. J., and Crowley, W. P., eds., 1990, Advances in the Free-Lagrange Method, Springer-Verlag, NY.
16.
Benz
, W.
, Slattery
, W. L.
, and Cameron
, A. G. W.
, 1986
, “The Origin of the Moon and the Single-Impact Hypothesis
,” Icarus
, 66
, pp. 515
–535
.17.
Stellingwerf
, R. F.
, and Wingate
, C. A.
, 1993
, “Impact Modeling with Smooth Particle Hydrodynamics
,” Int. J. Impact Eng.
, 14
, pp. 707
–718
.18.
McGlaun
, J. M.
, Thompson
, S. L.
, and Elrick
, M. G.
, 1990
, “CTH: A Three Dimensional Shock Wave Physics Code
,” Int. J. Impact Eng.
, 10
, pp. 351
–360
.19.
Goudreau
, G. L.
, and Hallquist
, J. O.
, 1982
, “Recent Developments in Large-Scale Finite Element Hydrocode Technology
,” Comput. Methods Appl. Mech. Eng.
, 33
, pp. 725
–757
.20.
Libersky
, L. D.
, Petschenk
, A. G.
, Carney
, T. C.
, Hipp
, J. R.
, and Allahdadi
, F. A.
, 1993
, “High Strain Lagrangian Hydrodynamics
,” J. Comput. Phys.
, 109
, pp. 67
–75
.21.
Libersky, L. D., and Randles, P. W., 1999, Oral Presentation at the 5th U.S. National Congress on Computational Mechanics, Boulder, Colorado, Aug. 4–6.
22.
Libersky
, L. D.
, Randles
, P. W.
, Carney
, T. C.
, and Dickinson
, D. L.
, 1997
, “Recent Improvements in SPH Modeling of Hypervelocity Impact
,” Int. J. Impact Eng.
, 20
, pp. 525
–532
.23.
Libersky, L. D., and Randles, P. W., 1999, “The Stress Point Technique as a Meshless Method,” Book of Abstracts for the 5th U.S. National Congress on Computational Mechanics, Boulder, Colorado, Aug. 4–6.
24.
Monaghan
, J. J.
, 1992
, “Smoothed Particle Hydrodynamics
,” Annu. Rev. Astron. Astrophys.
, 30
, pp. 543
–574
.25.
Fahrenthold
, E. P.
, and Horban
, B. A.
, 1999
, “A Hybrid Particle-Finite Element Method for Hypervelocity Impact Simulation
,” Int. J. Impact Eng.
, 23
, pp. 237
–248
.26.
Fahrenthold
, E. P.
, and Koo
, J. C.
, 1997
, “Hamiltonian Particle Hydrodynamics
,” Comput. Methods Appl. Mech. Eng.
, 146
, pp. 43
–52
.27.
Karnopp, D. C., Margolis, D. L., and Rosenberg, R. C., 1990, System Dynamics: A United Approach, Wiley, NY.
28.
Goodbody, A. M., 1982, Cartesian Tensors, John Wiley, NY.
29.
Breedveld
, P. C.
, 1982
, “Proposition for an Unambiguous Vector Bond Graph Notation
,” ASME J. Dyn. Syst., Meas., Control
, 104
, pp. 267
–270
.30.
Becker, E. B., Carey, G. F., and Oden, J. T., 1981, Finite Elements: An Introduction, Prentice-Hall, Englewood Cliffs, NJ.
31.
Malvern, L. E., 1969, Introduction to the Mechanics of a Continuous Medium, Prentice-Hall, Englewood Cliffs, NJ.
32.
Noh
, W. F.
, 1978
, “Errors for Calculations of Strong Shocks Using an Artificial Viscosity and an Artificial Heat Flux
,” J. Comput. Phys.
, 72
, pp. 78
–120
.33.
Monaghan
, J. J.
, and Gingold
, R. A.
, 1983
, “Shock Simulation by the Particle Method SPH
,” J. Comput. Phys.
, 52
, pp. 374
–389
.34.
Gear, C. W., 1971, Numerical Initial Value Problems in Ordinary Differential Equations, Prentice-Hall, Englewood Cliffs, NJ.
35.
Cole, R. H., 1948, Underwater Explosions, Dover Publications, NY.
36.
Lu
, Y. Y.
, Belytschko
, T.
, and Tabbara
, M.
, 1995
, “Element-free Galerkin Method for Wave Propagation and Dynamic Fracture
,” Comput. Methods Appl. Mech. Eng.
, 126
, pp. 131
–153
.37.
Kolsky, H., 1963, Stress Waves in Solids, Dover Publications, NY.
38.
Gingold
, R. A.
, and Monaghan
, J. J.
, 1982
, “Kernel Estimates as a Basis for General Particle Methods in Hydrodynamics
,” J. Comput. Phys.
, 46
, pp. 429
–453
.39.
Monaghan
, J. J.
, 1988
, “An Introduction to SPH
,” Comput. Phys. Commun.
, 48
, pp. 89
–96
.40.
Grady
, D. E.
, and Passman
, S. L.
, 1990
, “Stability and Fragmentation of Ejecta in Hypervelocity Impact
,” Int. J. Impact Eng.
, 10
, pp. 197
–212
. Copyright © 2000
by ASME
You do not currently have access to this content.
