Material characterisation and constitutive modelling of a tungsten-sintered alloy for a wide range of strain rates

Abstract The behaviour of a tungsten-sintered alloy has been investigated using a combination of tension tests, modified Taylor-impact tests and planar-plate-impact (PPI) tests using the VISAR technique. A logarithmic yield stress–strain rate dependency as it is predicted by the original Johnson–Cook (JC) strength model covering a strain rate range of 10 orders of magnitude has been measured. With the PPI tests the Hugoniot elastic limit and the spall strength, as well as the Us–up relation have been determined. Model parameters for the JC strength model and an equation of state have been determined from the experimental results. The validation of the material model has been performed by numerical simulations of the modified Taylor-impact tests where an enhanced model validation has been done by comparing the measured and calculated VISAR signals while this technique is normally used for PPI tests only.

[1]  G. R. Johnson,et al.  Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures , 1985 .

[2]  E. El-Magd,et al.  Mechanical properties at high strain rates , 1994 .

[3]  Dynamic deformation of metals under high hydrostatic pressure , 1966 .

[4]  Geoffrey Ingram Taylor,et al.  The use of flat-ended projectiles for determining dynamic yield stress I. Theoretical considerations , 1948, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[5]  Wai-Fah Chen,et al.  Plasticity for Structural Engineers , 1988 .

[6]  K. T. Ramesh,et al.  The mechanical properties of tungsten-based composites at very high strain rates , 1995 .

[7]  G. R. Johnson,et al.  DETERMINATION OF CONSTANTS AND COMPARISON OF RESULTS FOR VARIOUS CONSTITUTIVE MODELS , 1991 .

[8]  William K. Rule,et al.  A revised form for the Johnson-Cook strength model , 1998 .

[9]  C. M. Lund,et al.  A CONSTITUTIVE MODEL FOR STRAIN RATES FROM 10-4 TO 106 s-1 , 1988 .

[10]  C. M. Lund,et al.  A constitutive model for strain rates from 10−4 to 106 s−1 , 1989 .

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

[12]  K. Thoma,et al.  Material characterization and constitutive modelling of ductile high strength steel for a wide range of strain rates , 2005 .

[13]  Adam Wojtowicz,et al.  Taschenbuch der Physik , 2010 .

[14]  O. Jones Shock Wave Mechanics , 1973 .

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

[16]  G. R. Johnson,et al.  Strain-rate effects for high-strain-rate computations , 2006 .

[17]  K. Thoma,et al.  A modified TAYLOR-test in combination with numerical simulations - a new approach for the determination of model parameters under dynamic loads , 2003 .

[18]  Herbert Kolsky,et al.  Stress Waves in Solids , 2003 .

[19]  Percy Williams Bridgman,et al.  Studies in large plastic flow and fracture , 1964 .

[20]  S. V. Razorenov,et al.  Investigation of dynamic flow and strength properties of Ti-6-22-22S at normal and elevated temperatures , 2003 .

[21]  S. Deya,et al.  On the influence of constitutive relation in projectile impact of steel plates , 2006 .

[22]  M. Meyers Dynamic Behavior of Materials , 1994 .

[23]  L. M. Barker,et al.  Laser interferometer for measuring high velocities of any reflecting surface , 1972 .

[24]  D. Steinberg,et al.  A constitutive model for metals applicable at high-strain rate , 1980 .

[25]  G. V. Stepanov,et al.  Dependence of the critical stresses on the loading time parameters during spall in copper, aluminum, and steel , 1980 .

[26]  M. Langseth,et al.  Ballistic penetration of steel plates , 1999 .