Modified Smoothed Particle Hydrodynamics (MSPH) basis functions for meshless methods, and their application to axisymmetric Taylor impact test

Journal of Computational Physics

Volumn 227, Issue 3, 2008, Pages 1962-1981

  Batra, R C ^a   Zhang, G M ^a  

^a State University   (United States)

Author keywords

Axisymmetric deformations; MSPH method; Taylor impact test; Thermoviscoplasticity

Indexed keywords

CRACK PROPAGATION; FINITE ELEMENT METHOD; HYDRODYNAMICS; PLATES (STRUCTURAL COMPONENTS); TRANSIENT ANALYSIS; WAVE PROPAGATION;

AXISYMMETRIC; AXISYMMETRIC DEFORMATION; BASE FUNCTION; MESHLESS METHODS; MODIFIED SMOOTHED PARTICLE HYDRODYNAMIC METHOD; SMOOTHED PARTICLE HYDRODYNAMICS; SMOOTHED PARTICLE HYDRODYNAMICS METHODS; TAYLOR IMPACT; TAYLOR IMPACT TEST; THERMO-VISCOPLASTICITY;

HEAT CONDUCTION;

EID: 37249022823     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2007.10.001     Document Type: Article

References (33)

1. Zhang G.M., and Batra R.C. Modified smoothed particle hydrodynamics method and its application to transient problems. Comput. Mech. 34 (2004) 137-146
2. Batra R.C., and Zhang G.M. Analysis of adiabatic shear bands in elasto-thermo-viscoplastic materials by modified smoothed-particle hydrodynamics (MSPH) method. J. Comput. Phys. 201 (2004) 172-190
3. Zhang G.M., and Batra R.C. Wave propagation in functionally graded materials by Modified Smoothed Particle Hydrodynamics (MSPH) method. J. Comput. Phys. 222 (2007) 374-390
4. Batra R.C., and Zhang G.M. Search algorithm, and simulation of elastodynamic crack propagation by Modified Smoothed Particle Hydrodynamics (MSPH) method. Comput. Mech. 40 (2007) 531-546
5. Lucy L.B. A numerical approach to the testing of the fission hypothesis. Astron. J. 82 (1977) 1013-1024
6. Gingold R.A., and Monaghan J.J. Smoothed particle hydrodynamics: theory and application to non-spherical stars. Mon. Not. Roy Astron. Soc. 181 (1977) 375-389
7. Libersky L.D., and Petschek A.G. Smooth particle hydrodynamics with strength of materials, advances in the free Lagrange method. Lect. Notes Phys. 395 (1990) 248-257
8. Monaghan J.J. Simulating free surface flows with SPH. J. Comput. Phys. 110 (1994) 399-406
9. Liu M.B., Liu G.R., Zhong Z., and Lam K.Y. Computer simulation of high explosive explosion using smoothed particle hydrodynamics methodology. Comput. Fluids 32 3 (2003) 305-322
10. Randles P.W., Carney T.C., Libersky L.D., Renick J.D., and Petschek A.G. Calculation of oblique impact and fracture of tungsten cubes using smoothed particle hydrodynamics. Int. J. Impact Eng. 17 (1995) 661-672
11. Medina D.F., and Chen J.K. Three-dimensional simulations of impact induced damage in composite structures using the parallelized SPH method. Composites Part A 31 (2000) 853-860
12. Chen J.K., Beraun J.E., and Jih C.J. An improvement for tensile instability in smoothed particle hydrodynamics. Comput. Mech. 23 (1999) 279-287
13. Chen J.K., Beraun J.E., and Jih C.J. Completeness of corrective smoothed particle method for linear elastodynamics. Comput. Mech. 24 (1999) 273-285
14. Randles P.W., and Libersky L.D. Normalized SPH with stress points. Int. J. Numer. Methods Eng. 48 (2000) 1445-1462
15. Vignjevic R., Campbell J., and Libersky L.D. A treatment of zero-energy modes in the smoothed particle hydrodynamics method. Comput. Methods Appl. Mech. Eng. 184 (2000) 67-85
16. Johnson G.R., Petersen E.H., and Stryk R.A. Incorporation of an SPH option into the EPIC code for a wide range of high velocity impact computations. Int. J. Impact Eng. 14 (1993) 385-394
17. Petschek A.G., and Libersky L.D. Cylindrical smoothed particle hydrodynamics. J. Comput. Phys. 109 (1993) 76-83
18. Randles P.W., and Libersky L.D. Smoothed particle hydrodynamics: some recent improvements and applications. Comput. Methods Appl. Mech. Eng. 139 (1996) 375-408
19. Hicks D.L., Swegle J.W., and Attaway S.W. Conservative smoothing stabilizes discrete-numerical instabilities in SPH material dynamics computations. Appl. Math. Comput. 85 (1997) 209-226
20. Hicks D.L., and Liebrock L.M. SPH hydrocodes can be stabilized with shape-shifting. Comput. Math. Appl. 38 (1999) 1-16
21. Libersky L.D., Randles P.W., Carney T.C., and Dickinson D.L. Recent improvements in SPH modeling of hypervelocity impact. Int. J. Impact Eng. 20 (1997) 525-532
22. Hicks D.L., and Liebrock L.M. Conservative smoothing with B-splines stabilizes SPH material dynamics in both tension and compression. Appl. Math. Comput. 150 (2004) 213-234
23. Noh W.F. Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux. J. Comput. Phys. 72 (1978) 78-120
24. House J.W., Lewis J.C., Gillis P.P., and Wilson L.L. Estimation of flow stress under high rate plastic deformation. Int. J. Impact Eng. 16 (1995) 189-200
25. Rule W.K. A numerical scheme for extracting strength model coefficients from Taylor test data. Int. J. Impact Eng. 19 (1997) 797-810
26. Batra R.C., and Kim C.H. Effect of thermal conductivity on the initiation, growth and band width of adiabatic shear bands. Int. J. Eng. Sci. 29 (1991) 949-960
27. Batra R.C., and Lear M.H. Adiabatic shear banding in plane strain tensile deformations of eleven thermoelastoviscoplastic materials with finite thermal wave speed. Int. J. Plasticity 21 (2005) 1521-1545
28. Stevens J.B., and Batra R.C. Adiabatic shear band in the Taylor impact test for a WHA rod. Int. J. Plasticity 14 (1998) 841-854
29. Batra R.C., and Stevens J.B. On the L/D effect in the Taylor impact test. In: Atluri S.N., and Yagawa G. (Eds). Advances in Computational Engineering Science (1997), Tech Science Press, Forsyth, Georgia 1134-1139
30. Batra R.C., and Stevens J.B. Adiabatic shear bands in axisymmetric impact and penetration problems. Comp. Meth. Appl. Mech. Engrg. 151 (1998) 325-342
31. Batra R.C., and Ko K.I. Analysis of shear bands in dynamic axisymmetric compression of a thermoviscoplastic cylinder. Int. J. Eng. Sci. 31 (1993) 529-547
32. Batra R.C., and Love B.M. Mesoscale analysis of shear bands in high strain rate deformations of tungsten/nickel-iron composites. J. Therm. Stress. 28 (2005) 747-782
33. Batra R.C., and Zhang G.M. SSPH basis functions for meshless methods, and comparison of solutions with strong and weak formulations. Comput. Mech. 41 (2008) 527-545