On the use of SHPB techniques to determine the dynamic behavior of materials in the range of small strains

International Journal of Solids and Structures

Volumn 33, Issue 23, 1996, Pages 3363-3375

  Zhao, Han ^a   Gary, Gérard ^a  

^a LABORATOIRE DE MÉCANIQUE DES SOLIDES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DISPERSION (WAVES); FORCE MEASUREMENT; MATERIALS TESTING APPARATUS; MATHEMATICAL MODELS; NUMERICAL METHODS; PRESSURE EFFECTS; STRAIN RATE; STRESS ANALYSIS; VELOCITY MEASUREMENT;

SOKOLOVSKY-MALVERN TYPE CONSTITUTIVE MODEL; SPLIT HOPKINSON PRESSURE BAR (SPHB) TECHNIQUE;

NONMETALLIC MATERIALS;

EID: 0030243953     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/0020-7683(95)00186-7     Document Type: Article

References (36)

1. Bancroft, D. (1941). The velocity of longitudinal waves in cylindrical bars. Phys. Rev. 59, 588-593.
2. Bui, H. D. (1993). Introduction aux Problèmes Inverses en Mécanique des Matériaux. Editions Eyrolles, Paris. English translation (1994). Inverse Problems in the Mechanics of Materials: an Introduction. CRC Press, Boca Raton.
3. Bui, H. D. (1993). Introduction aux Problèmes Inverses en Mécanique des Matériaux. Editions Eyrolles, Paris. English translation (1994). Inverse Problems in the Mechanics of Materials: an Introduction. CRC Press, Boca Raton.
4. Bell, J. F. (1966). An experimental diffraction grating study of the quasi-static hypothesis of the split Hopkinson bar experiment. J. Mech. Phys. Solids 14, 309-327.
5. Bertholf, L. D. and Karnes, J. (1975). Two-dimensional analysis of the split Hopkinson pressure bar system. J. Mech. Phys. Solids 23, 1-19.
6. Chiu, S. S. and Neubert, V. H. (1967). Difference method for wave analysis of the split Hopkinson pressure bar with a viscoelastic specimen. J. Mech. Phys. Solids 15, 177-193.
7. Chree, C. (1889). The equations of an isotropic elastic solid in polar and cylindrical coordinates, their solutions and applications. Cambridge Phil. Soc., Trans. 14, 250-369.
8. Conn, A. F. (1965). On the use of thin wafers to study dynamic properties of metals. J. Mech. Phys. Solids 13, 311-327.
9. Cristescu, N. (1967). Dynamic Plasticity. North-Holland, Amsterdam.
10. Davies, R. M. (1948). A critical study of Hopkinson pressure bar. Phil. Trans. Roy. Soc. A240, 375-457.
11. Davies, E. D. H. and Hunter, S. C. (1963). The dynamic compression testing of solids by the method of the split Hopkinson pressure bar. J. Mech. Phys. Solids 11, 155-179.
12. Dharan, C. K. H. and Hauser, F. E. (1970). Determination of stress-strain characteristics at very high strain rates. Exp. Mech. 10, 370-376.
13. Dioh, N. N., Leevers, P. S. and Williams, J. G. (1993). Thickness effects in split Hopkinson pressure bar tests. Polymer 34(20), 4230-4234.
14. Duffy, J., Campbell, J. D. and Hawley, R. H. (1971). On the use of a torsional split Hopkinson bar to study rate effects in 1100-0 aluminium. J. Appl. Mech. 38, 83-91.
15. Follansbee, P. S. and Franz, C. (1983). Wave propagation in the split Hopkinson pressure bar. J. Engng Mater. Tech. 105, 61-66.
16. Follansbee, P. S. (1986). High strain rate deformation of FCC metals and alloys. In Metallurgical Application of Shock Wave and High Strain Rate Phenomena, 451-479. Marcel Dekker, New York.
17. Gary, G., Klepaczko, J. R. and Zhao, H. (1991). Correction de dispersion pour l'analyse des petites deformations aux barres de Hopkinson. J. Physique III 1, c3-403.
18. Gong, J. C., Malvern, L. E. and Jenkins, D. A. (1990). Dispersion investigation in the split Hopkinson pressure bar. J. Engng Mater. Tech. 112, 309-314.
19. Gorham, D. A. (1983) A numerical method for the correction of dispersion in pressure bar signals. J. Phys. E: Sci. Instrum. 16, 477-479.
20. Harding, J., Wood, E. D. and Campbell, J. D. (1960). Tensile testing of materials at impact rates of strain. J. Mech. Engng Sci. 2, 88-96.
21. Hauser, F. E. (1966). Techniques for measuring stress strain relations at high strain rates. Exp. Mech. 6, 395-402.
22. Hopkinson, B. (1914). A method of measuring the pressure in the deformation of high explosives by the impact of bullets. Phil. Trans. Roy. Soc. A213, 437-452.
23. Jahsman, W. E. (1971). Reexamination of the Kolsky technique for measuring dynamic material behavior. J. Appl. Mech. 38, 77-82.
24. Klepaczko, J. R. (1969). Lateral inertia effects in the compression impact experiments. Report, Institute of Fundamental Technical Research, No. 17, Warsaw.
25. Kolsky, H. (1949). An investigation of the mechanical properties of materials at very high rates of loading. Proc. Phys. Soc. B62, 676-700.
26. Kolsky, H., (1963). Stress Waves in Solids. Clarendon Press, Oxford.
27. Lifshitz, J. M. and Leber, H. (1994). Data processing in the split Hopkinson pressure bar tests. Int. J. Impact Engng 15, 723-733.
28. Lindholm, U. S. (1964). Some experiments with the split Hopkinson pressure bar. J. Mech. Phys. Solids 12, 317-335.
29. Malinowski, J. Z. and Klepaczko, J. R. (1986). Dynamic frictional effects as measured from the split Hopkinson bar. Int. J. Mech. Sci. 28, 381-391.
30. Malvern, L. E. (1951). Propagation of longitudinal waves of plastic deformation. J. Appl. Mech. 18, 203-208.
31. Nemat-Nasser, S., Isaacs, J. B. and Starrett, J. E. (1991). Hopkinson techniques for dynamic recovery experiments. Proc. R. Soc. Lond. A435, 371-391.
32. Pochhammer, L. (1876). Uber die fortpflanzungsgeschwindigkeiten kleiner schwingungen in einem unbergrenzten isotropen kreiszylinder. J. Reine Angewandte Mathematik 81, 324-336.
33. Sokolovsky, V. V. (1948). The propagation of elastic-viscous-plastic waves in bars. Prikl. Mat. Mekh. 12, 261-280.
34. Yew, E. H. and Chen. C. S. (1978). Experimental study of dispersive waves in beam and rod using FFT. J. Appl. Mech. 45, 940-942.
35. Zhao, H. (1992). Analyse de l'essai aux barres de Hopkinson, application à la mesure du comportement dynamique des matériaux. Ph. D. Thesis, ENPC, Paris.
36. Zhao, H. and Gary, G. (1995). A three-dimensional analytical solution of longitudinal wave propagation in an infinite linear viscoelastic cylindrical bar. Application to experimental techniques. J. Mech. Phys. Solids 43, 1335-1348.