A critical review of experimental results and constitutive models for BCC and FCC metals over a wide range of strain rates and temperatures

Abstract Four currently utilized constitutive models for metals (i.e. Johnson–Cook, Zerilli–Armstrong, Bodner–Partom and Khan–Huang) are investigated and used to predict the mechanical behaviors of the materials and compared with experimental results. Limitations for each model in describing work-hardening behavior of metals are discussed.

[1]  A. Khan,et al.  Modeling the mechanical behaviour of 1100-0 aluminum at different strain rates by the bodner-partom model , 1992 .

[2]  E. Krempl,et al.  Isotropic viscoplasticity theory based on overstress (VBO). The influence of the direction of the dynamic recovery term in the growth law of the equilibrium stress , 1996 .

[3]  J. C. Huang,et al.  Low-temperature and high-strain-rate deformation of nickel and nickel-carbon alloys and analysis of the constitutive behavior according to an internal state variable model , 1990 .

[4]  S. Nemat-Nasser,et al.  Direct measurement of isothermal flow stress of metals at elevated temperatures and high strain rates with application to Ta and TaW alloys , 1997 .

[5]  K. G. Hoge,et al.  The temperature and strain rate dependence of the flow stress of tantalum , 1977 .

[6]  R. Armstrong,et al.  Dislocation-mechanics-based constitutive relations for material dynamics calculations , 1987 .

[7]  Lawrence E Murr,et al.  Metallurgical Applications of Shock-Wave and High-Strain-Rate Phenomena, with K. P. Staudhammer and M. A. Meyers , Marcel Dekker, Inc., New York, , 1986 .

[8]  S. R. Bodner,et al.  Viscoplastic Constitutive Equations for Copper with Strain Rate History and Temperature Effects. , 1978 .

[9]  U. F. Kocks,et al.  A constitutive description of the deformation of copper based on the use of the mechanical threshold stress as an internal state variable , 1988 .

[10]  Lallit Anand,et al.  Elasto-viscoplastic constitutive equations for polycrystalline metals: Application to tantalum , 1998 .

[11]  David L. McDowell,et al.  Modeling temperature and strain rate history effects in OFHC Cu , 1998 .

[12]  Erhard Krempl,et al.  Viscoplasticity theory based on overstress. The prediction of monotonic and cyclic proportional and nonproportional loading paths of an aluminum alloy , 1985 .

[13]  Ronald W. Armstrong,et al.  Description of tantalum deformation behavior by dislocation mechanics based constitutive relations , 1990 .

[14]  Akhtar S. Khan,et al.  Experimental and theoretical study of mechanical behavior of 1100 aluminum in the strain rate range 10−5−104s−1 , 1992 .

[15]  S. R. Bodner,et al.  Constitutive Equations for Elastic-Viscoplastic Strain-Hardening Materials , 1975 .

[16]  J. Christian.  Some surprising features of the plastic deformation of body-centered cubic metals and alloys , 1983 .

[17]  S. R. Bodner,et al.  Modeling of hardening at very high strain rates , 1994 .

[18]  Pol Duwez,et al.  The Propagation of Plastic Deformation in Solids , 1950 .