Abstract
The main driving force behind high-strain-rate testing is the need to obtain values for the parameters in the various material constitutive models used in the numerical simulation of the impact or shock response of materials and structures. Information about the high-strain-rate properties of materials at elevated temperatures is important for problems such as penetration and high-rate metallurgical treatment by cutting or forging, since the transient loading processes are accompanied by irreversible heating. The knowledge of the temperature dependencies of dynamic responses of materials would also help us better understand the nature of thermomechanical instabilities as manifested by the formation of shear bands. The existing theory on formation of shear bands is based on a competition between the strain hardening and the thermal softening of material during an adiabatic deformation process. There is a general agreement that the tendency to form adiabatic shear bands increases when the strain hardening decreases and the thermal softening increases. Since high strain rates create the adiabatic conditions for the induced deformation, shear banding is usually associated with impact loading.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Antoun, T., L. Seaman, D.R. Curran, G.I. Kanel, S.V. Razorenov, A.V. Utkin (2003). Spall. Fracture. Springer, New York
Asay, J.R. (1974). “Shock-Induced Melting in Bismuth,” J. Appl. Phys. 45, p. 4441.
Asay, J.R., and D.B. Hayes (1975). “Shock compression and release behavior near melt states in aluminum,” J. Appl. Phys. 46(11), pp. 4789–4800.
Berner, R., and H. Kronmuller (1965). Plastische Verformung von Einkristallen, Springer-Verlag, Berlin.
Besold, G., and O.G. Mouritsen (1994). “Grain-boundary melting: a Monte Carlo study,” Physical Review B 50(10), pp. 6573–6576.
Bhate, N., R.J. Clifton, and R. Phillips (2002). “Atomistic simulations of the motion of an edge dislocation in aluminum using embedded atom method,” in: Shock Compression of Condensed Matter—2001 (eds. M.D. Furnish, N.N. Thadhani, and Y. Horie) American Institute of Physics, New York, pp. 339–342.
Bogach, A.A., G.I. Kanel, S.V. Razorenov, A.V. Utkin, S.G. Protasova, and V.G. Sursaeva (1998). “Resistance of zinc crystals to shock deformation and fracture at elevated temperatures,” Phys. Solid State 40(10), pp. 1676–1680 [trans. from Fiz. Tverd. Tela 40, pp. 1849–1854(1998)].
Boyer, L.L. (1985). “Theory of melting based on lattice instability” Phase Transitions 5(1), pp. 1–48.
Brooks, C.R., M. Cash, and A. Garcia (1978). “The heat capacity of Inconel 718 from 313 to 1053K,” J. Nuclear Materials 78(2), pp. 419–421.
Cahn, R.W. (1986). “Melting and the surface,” Nature 323, pp. 668–669.
Cheremskoy, P. G., V.V. Slezov, and V.I. Betehtin (1990). “Pores in Solids,” Energoatomizdat, 376 p. (in Russian).
Clifton, R.J. (1971). “Plastic waves: theory and experiment,” in: Shock Waves and the Mechanical Properties of Solids (eds. J.J. Burke and V. Weiss), Syracuse University Press, pp. 73–116.
Cotterill, R.M. (1980). J. Cryst. Growth 48, p. 582.
Curran, D.R., L. Seaman, and D.A. Shockey (1987). “Dynamic failure of solids,” Physics Reports 147(5&6), pp. 254–388.
Dash, J.D. (1999). “History of the search of continuous melting,” Rev. Mod. Phys. 71(5), pp. 1737–1743.
Fecht, H.J. and W.L. Johnson (1988). Nature 334, p. 50.
Follansbee, P.S. and J. Weertman (1982). “On the question of flow stress at high strain rates controlled by dislocation viscous flow” Mech. Mater. 1, pp. 345–350.
Fukuhara, M. and A. Sanpei (1993). “Elastic moduli and internal frictions of Inconel 718 and Ti-6A1–4V as a function of temperature,” J. Mater. Sci. Lett. 12(14), pp. 1122–1124.
Gu, Zhuowei, and Xiaogang Jin (1998). “Temperature dependence on shock response of stainless steel,” In: Shock compression of condensed matter—1997, in: Shock Compression of Condensed Matter—1997 (eds S.C. Schmidt, D.D. Dandekar, and J.W. Forbes) American Institute of Physics, New York, pp. 467–470.
Guinan, M.W., and D.J. Steinberg (1974). “Pressure and temperature derivatives of the isotropic polycrystalline shear modulus for 65 elements,” J. Phys. Chem. Solids 35, pp. 1501–1512.
Iwamatsu, M. (1999). “Homogeneous nucleation for superheated crystal,” J. Phys-Condensed Matter 11(1), pp. L1–5.
Johnson, J.N. (1981). “Dynamic fracture and spallation in ductile solids,” J. Appl. Phys. 52(4), pp. 2812–2825.
Johnson, J.N., and D.L. Tonks (1992). “Dynamic plasticity in transition from thermal activation to viscous drag,” in: Shock Compression of Condensed Matter—1991 (eds. S.C. Schmidt, R.D. Dick, J.W. Forbes and D.G. Tasker) North-Holland, Amsterdam, pp. 371–378.
Kanel, G.I. (2000). “The temperature limit of the dynamic strength of metals,” High Temp. 38(3), pp. 481–491 [trans. from Teplofiz. Vys. Temp. 38(3), pp. 512–514 (2000)].
Kanel, G.I., S.V. Razorenov, K. Baumung, and J. Singer (2001). “Dynamic yield and tensile strength of aluminum single crystals at temperatures up to the melting point,” J. Appl. Phys. 90(1), pp. 136–143.
Kanel, G.I., S.V. Razorenov, A.A. Bogatch, A.V. Utkin, V.E. Fortov, and D.E. Grady (1996). “Spall Fracture Properties of Aluminum and Magnesium at High Temperatures,” J. Appl. Phys. 79(11), pp. 8310–8317.
Krüger, L., G.I. Kanel, S.V. Razorenov, L. Meyer, and G.S. Bezrouchko (2002). “Yield and strength properties of the Ti-6–22-22S alloy over a wide strain rate and temperature range,” in: Shock Compression of Condensed Matter—2001 (eds. M.D. Furnish, N.N. Thadhani, and Y. Horie) American Institute of Physics, New York, pp. 1327–1330.
Kumar, A., and R.G. Kumble (1969). “Viscous drag on dislocations at high strain rates in copper” J. Appl. Phys. 40(9), p. 3475.
Lu, K., and Y. Li (1998). “Homogeneous nucleation catastrophe as a kinetic stability limit for superheated crystal,” Phys. Rev. Lett. 80(20), pp. 4474–4477.
Lu, X., and J.A. Szpunar (1995). “Molecular dynamics simulation of the melting of a twist grain boundary,” Interface Sci. 3(2), pp. 143–150.
Lynden-Bell, R.M. (1995). “A simulation study of induced disorder, failure and fracture of perfect metal crystals under uniaxial tension,” J. Phys.-Condensed Matter 7, pp. 4603–4624.
Ma, D., and Y. Lip (2000). “Heterogeneous nucleation catastrophe on dislocations in superheated crystals,” J. Phys.-Condensed Matter 12(43), pp. 9123–9128.
Mabire, C., and P.L. Hereil (2000). “Shock induced polymorphic transition and melting of tin” in: Shock Compression of Condensed Matter—1999 (eds. M.D. Furnish, L.C. Chhabildas, and R.S. Hixon) American Institute of Physics, New York, pp. 93–96
Ninomura, T. (1974). J. Phys. Soc. Jpn. 36, p. 399.
Razorenov, S.V., G.I. Kanel, K. Baumung, and H. Bluhm (2002). “Hugoniot elastic limit and spall strength of aluminum and copper single crystals over a wide range of strain rates and temperatures,” in: Shock Compression of Condensed Matter—2001 (eds. M.D. Furnish, N.N Thadhani, and Y. Horie) American Institute of Physics, New York, pp. 503–506.
Razorenov, S.V., G.I. Kanel, E. Kramshonkov, and K. Baumung (2002). “Shock compression and spalling of cobalt at normal and elevated temperatures,” Comb. Expl. Shock Waves 38(5), pp. 598–601 [trans. From Fiz. Goreniya Vzryva 38(5), pp. 119–123(2002)].
Rohde, R.W. (1969). “Dynamic Yield Behavior of Shock-Loaded Iron from 76 to 573°K,” Acta. Met. 17, pp. 353–363.
Sakino, K. (2000). “Transition in the rate controlling mechanism of FCC metals at very high strain rates and high temperatures,” J. Phys. IV France 10, Pr 9–57–62.
Talion, J. L. (1989). Nature 342, p. 658.
Talion, J.L., and A. Wolfeden (1979). “Temperature dependence of the elastic constants of aluminum,” J. Phys. Chem. Solids 40, pp. 831–837.
Ubbelohde, A.R. (1965). Melting and Crystal Structure, Clarendon Press, Oxford.
Zwicker, U. (1974). Titan und Titanlegierungen, Springer-Verlag, Heidelberg.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer Science+Business Media New York
About this chapter
Cite this chapter
Kanel, G.I., Fortov, V.E., Razorenov, S.V. (2004). Yield and Strength Properties of Metals and Alloys at Elevated Temperatures. In: Shock-Wave Phenomena and the Properties of Condensed Matter. High-Pressure Shock Compression of Condensed Matter. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4282-4_3
Download citation
DOI: https://doi.org/10.1007/978-1-4757-4282-4_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-1916-8
Online ISBN: 978-1-4757-4282-4
eBook Packages: Springer Book Archive