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Numerical study of rate-dependent strength behavior under ramp and shock wave loading. (English) Zbl 1419.74080

Summary: The main objective of the current study was to gain a detailed understanding on the rate-dependent strength behavior under ramp and shock wave loading. A forward, numerical-simulation-based cause and effect analysis was used to address the research objective. The apparent strength associated with shock and ramp wave loadings with different risetimes and shapes was investigated. It was shown that intrinsic material strength could vary with pressure, temperature, and deformation history, but the apparent strength, which was larger than the intrinsic strength, was a result of the interaction between the rate sensitivity of the strength and the rate of the external loading. The degree of interaction led to different levels of mechanical and thermal dissipations and their partition, which was manifested by different temperature, stress, and deformation histories.
The knowledge and foundation established in this study should provide some guidance in the proper interpretation and analysis of the measured wave profiles obtained from ramp and shock wave experiments, instead of simply by trial and error of applying an arbitrary model without a sound physical justification. As also demonstrated in this study, different types and degrees of material dissipations result in much more dramatic changes in temperature than mechanical response. In other words, temperature could provide a direct measurement of material dissipation and provide a distinct signature of the actual material response. This study also shows that by varying the risetimes and/or shapes of ramp waves, different strain rate histories can be produced. Thus, the ramp wave experiment is potentially a very effective tool to investigate the rate sensitivity of material strength.

MSC:

74C10 Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity)
74J40 Shocks and related discontinuities in solid mechanics
Full Text: DOI

References:

[1] Asay, J. R.: Isentropic compression experiments on the Z accelerator, Shock compression of condensed matter furnish 2000, 261-266 (1999)
[2] Barker, L. M.; Hollenbach, R. E.: Laser interferometer for measuring high velocities of any reflecting surface, J. appl. Phys. 43, 4669-4675 (1972)
[3] Ding, J. L.: Thermal and mechanical analysis of material response to non-steady ramp and steady shock wave loading, J. mech. Phys. solids 56, 237-265 (2006) · Zbl 1120.74574 · doi:10.1016/j.jmps.2005.09.003
[4] Ding, J. L.; Asay, J. R.: Material characterization with ramp wave experiments, J. appl. Phys. 101, No. 5 (2007)
[5] Dwivedi, S. K.; Ding, J. L.; Gupta, Y. M.: Computational study of interface effect on impact load spreading in sic multilayered targets, Int. J. Comput. meth. 2, No. 3, 341-373 (2005) · Zbl 1189.74099 · doi:10.1142/S0219876205000545
[6] Fowles, G. R.: Shock wave compression of hardened and annealed 2024 aluminum, J. appl. Phys. 32, No. 8, 1475-1487 (1960)
[7] Gupta, Y. M.: COPS wave propagation code, (1978)
[8] Gupta, Y. M.; Ding, J. L.: Impact load spreading in layered materials and structures: concept and quantitative measure, Int. J. Impact eng. 27, No. 3, 277-291 (2002)
[9] Hall, C. A.: Experimental configuration for isentropic compression of solids using pulsed magnetic loading, Rev. sci. Instrum. 72, No. 9, 3587-3595 (2001)
[10] Huang, H.; Asay, J. R.: Compressive strength measurement in aluminum for shock compression over the stress range of 4 – 22GPa, J. appl. Phys. 98, No. 3, 033524 (2005)
[11] Huang, H.; Asay, J. R.: Reshock response of shock deformed aluminum, J. appl. Phys. 100, No. 4, 043514 (2006)
[12] Lorentz, K. T.; Edwards, M. J.; Glendinning, S. G.; Jankowski, A. F.; Mcnaney, J.; Pollaine, S. M.; Remington, B. A.: Accessing ultrahigh-pressure, quasi-isentropic states of matter, Phys. plasmas 12, 056309 (2005)
[13] Marsh, S. P.: LASL shock hugoniot data, (1980)
[14] Martin, L. P.; Orlikowski, D.; Nguyen, J. H.: Fabrication and characterization of graded impedance impactor for gas gun experiments from tape cast metal powders, Mater. sci. Eng. 427, 83-91 (2006)
[15] Robbins, J. R.; Ding, J. L.; Gupta, Y. M.: Load spreading and penetration resistance of layered structures – a numerical study, Int. J. Impact eng. 30, No. 6, 593-615 (2004)
[16] Steinberg, D. J.; Cochran, S. G.; Guinan, M. W.: A constitutive model for metals applicable at high strain rate, J. appl. Phys. 51, No. 3, 1498-1504 (1980)
[17] Swegle, J. W.; Grady, D. E.: Shock viscosity and the prediction of shock wave rise times, J. appl. Phys. 58, No. 2, 692-701 (1985)
[18] Walsh, R.T., 1973. Finite difference method. In: Chou, P.C., Hopkins, A.K. (Ed.), Dynamic Response of Materials to Intense Impulsive Loading, USA, pp. 363 – 403.
[19] Wallace, D. C.: Irreversible thermodynamics of flow in solids, Phys. rev. B 22, No. 4, 1477-1486 (1980)
[20] Wallace, D. C.: Nature of the process of overdriven shocks in metals, Phys. rev. B 24, No. 10, 5607-5615 (1981)
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