Steady-state flow of compressible rigid-viscoplastic media

International Journal of Engineering Science

Volumn 44, Issue 15-16, 2006, Pages 1082-1097

  Cazacu, Oana ^a   Ionescu, Ioan R ^b   Perrot, Thomas ^b  

^a University of Florida   (United States)

^b UNIVERSITÉ DE SAVOIE   (France)

Author keywords

Augmented lagrangian method; Compaction; Compressible rigid viscoplastic fluid; Decomposition coordination formulation; Finite elements; Finite volumes; High velocity penetration in porous materials; Locking medium; Rate effects; Trajectory stability

Indexed keywords

FINITE ELEMENT METHOD; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; POROUS MATERIALS; STEADY FLOW; VISCOPLASTICITY;

AUGMENTED LAGRANGIAN METHOD; COMPRESSIBLE RIGID VISCOPLASTIC FLUID; DECOMPOSITION-COORDINATION FORMULATION; LOCKING MEDIUM; TRAJECTORY STABILITY;

COMPRESSIBLE FLOW;

EID: 33749256625     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2006.05.011     Document Type: Article

References (42)

1. Adamik V., and Matejovic P. A contribution to computational modeling of reinforced concrete structures subjected to impact loading. Nucl. Eng. Des. 113 (1989) 111-120
2. Batra R.C. Steady-state penetration of viscoplastic targets. Int. J. Eng. Sci. 25 (1987) 1131-1141
3. Batra R.C., and Gobinath T. Steady-state penetration of compressible perfectly plastic targets. Int. J. Eng. Sci. 26 (1988) 741-751
4. Batra R.C., and Adam A. Effect of viscoplastic flow rules on steady state penetration of thermoviscoplastic targets. Int. J. Eng. Sci. 29 (1991) 1391-1408
5. Cazacu O., and Cristescu N. Constitutive model and analysis of creep flow of natural slopes. Italian Geotechn. J. 34 3 (2000) 44-54
6. O. Cazacu, I.R. Ionescu, T. Perrot, Penetration of a rigid body into a viscoplastic compressible fluid, in: P. Neittaanmaki, T. Rossi, K. Majava, O. Pironneau (Eds.) W. Rodi and P. Le Qur (assoc. Eds.), Proceedings ECCOMAS, 2004, pp. 1-18.
7. O. Cazacu, N. Cristescu, Steady flow of a non-homogeneous Bingham material over a wedge, Int. J. Numer. Anal. Methods Geomech., 2004, in revision.
8. Cazacu O., and Ionescu I.R. Compressible rigid visco-plastic fluids. J. Mech. Phys. Solids 54 (2006) 1640-1667
9. Elaskar S.A., and Godoy L.A. Constitutive relations for compressible granular materials using non-newtonian fluid mechanics. Int. J. Mech. Sci. 40 10 (1998) 1001-1081
10. Eymard R., Gallouet T., and Herbin R. The finite volume method. In: Ciarlet P.h., and Lions J.L. (Eds). Handbook for Numerical Analysis (2000), North Holland 715-1022
11. Forrestal M.J., and Luk V.K. Dynamic spherical cavity expansion in a compressible elastic-plastic solid. J. Appl. Mech. 55 (1988) 275-279
12. M. Fortin, R. Glowinski, Methodes de Lagrangien augmentés, application à la résolution de problèmes aux limites, Dunod, 1982.
13. Glowinski R., and Le Tallec P. Augmented Lagrangian and operator splitting method in non-linear mechanics. SIAM Stud. Appl. Math. (1989)
14. Goodman M., and Cowin S. Two problems in the gravity flow of granular materials. J. Fluid Mech. 45 (1971) 321-339
15. Goodier J.N. On the mechanics of indentation and cratering in solid targets of strain-hardening metal by impact of hard and soft spheres. Proceedings of the 7th Symposium on Hypervelocity Impact vol. III (1965), Martin Company, Tampa, FL
16. F. Hecht, Bidimensional anisotropic mesh generator, INRIA report, 1997.
17. F. Hecht, BAMG: Bidimensional anisotropic mesh generator, INRIA report, 1998.
18. Heuze F.E. An overview of projectile penetration into geologic materials, with emphasis on rocks. Int. J. Rock Mech. Min. Sci. 27 (1990) 1-14
19. Hanagud S., and Ross B. Large deformation deep penetration theory for a compressible strain-hardening target material. AIAA J. 9 (1971) 905-911
20. Ionescu I.R., and Sofonea M. Functional and numerical methods in viscoplasticity (1993), Oxford Science Publications. The Clarendon Press, Oxford University Press, New York
21. Ionescu I., and Vernescu B. A numerical method for a viscoplastic problem. An application to the wire drawing. Int. J. Eng. Sci. 26 (1988) 627-633
22. S.J. Jones, D.M. Jerome, L. Wilson, F.R. Christophe, An engineering analysis of normal rigid body penetration into concrete, Structures Under Extreme Loading Conditions, ASME, PVP, vol. 361, 1998, pp. 63-67.
23. J.R. Klepaczko, Surface layer thermodynamics of steel penetrators at high and very high velocities, Air Force research Laboratory, Munitions Directorate, Final report AFRL-MN-EG-TR-2002-7076, Eglin AFB, 2002.
24. Klepaczko J.R., and Hughes M.L. Scaling of wear in kinetic energy penetrators. Int. J. Impact Eng. 31 (2005) 435-459
25. Moes N., Dolbow J., and Belytschko T. Non-planar 3D crack growth by the extended finite element and level sets-Part I: mechanical model. Int. J. Numer. Meth. Eng. 53 11 (2002) 2549-2568
26. Ortiz M., and Pandolfi A. Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis. Int. J. Numer. Meth. Eng. 44 9 (1999) 1267-1282
27. Pande G.N., Beer G., and Williams J.R. Numerical Methods in Rock Mechanics (1990), John Wiley & Sons, West Sussex, England
28. Pironneau O. Finite Element Methods for Fluids (1989), John Wiley & Sons Ltd., Chichester
29. Rankine W. Applied Mechanics (1972), Charles Griffin and Company, London
30. Rabczuk T., and Eibl J. Modelling dynamic failure of concrete with meshfree methods. Int. J. Impact Eng. 32 (2006) 1878-1897
31. Rubin M.B., Elata D., and Attia A.V. Modeling added compressibility and the thermomechanical response of wet porous rock with application to Mt. Hellen Tuff. Int. J. Solids Struct. 33 (1996) 761-793
32. Savage S. Gravity flow of cohesionless granular materials in chutes and channels. J. Fluid Mech. 92 (1979) 53-63
33. Schwer L.E., Rosinsky R., and Day J. An axisymmetric Lagrangian technique for predicting earth penetration including penetrator response. Int. J. Numer. Anal. Meth. Geomech. 12 (1988) 235-262
34. M.J. Schmidt, High-pressure and high-strain rate behavior of cementitious materials: experiments and elastic/viscoplastic modeling, Ph.D. thesis, Univ. of Florida, 2003.
35. Temam R. Navier-Stokes Equations. Theory and Numerical Analysis (1979), North-Holland, Amsterdam
36. Tham C.Y. Reinforced concrete perforation and penetration simulation using AUTODYN-3D. Finite Elements Anal. Des. 41 (2005) 1401-1410
37. R.E. Tipton, Porous EOS in CALE used to model concrete, Lawrence Livermore National Laboratory, Livermore, CA, 1991.
38. Vulliet L. Natural slopes in slow movement. In: Zaman M., Gioda G., and Booker J. (Eds). Modelling in Geomechanics (2000), John Wiley & Sons, Ltd. 653-674
39. Warren T.L., and Forrestal M.J. Effects of strain hardening and strain-rate sensitivity on the penetration of aluminum targets with spherical-nose rods. Int. J. Solids Struct. 35 28-29 (1998) 3737-3753
40. E. Wiliams, S.A. Akers, P.A. Reed, Laboratory characterization of fine aggregate cementitious material, Geotechnical and Structures Laboratory, ERDC/GLS TR-05-16, 2005.
41. Xu X.P., and Needleman A. Numerical simulations of dynamic crack growth along an interface. Int. J. Fracture 74 4 (1996) 234-289
42. Zukas J.A., Nicholas T., Swift H.F., Greszczuk L.B., and Curran D.R. Penetration and perforation of solids. Impact Dynamics (1992), Krieger Publishing Company, Malabor, FL 155-214