This paper presents a constitutive model and date for materials subjected to large strain, high strain rates and high temperatures. The basic form of the model is well suited for computations because it uses variables which are readily available in most of the applicable computer codes. The materials considered are OFHC copper, Cartridge brass, Nickel 200, Armco iron, Carpenter electrical iron, 1006 steel, 2024-T351 aluminum, 7039 aluminum, 4340 steel, S-7 tool steel, Tungsten alloy and Du-75Ti (depleted uranium). The data for the material constants are obtained form torsion tests over a wide range of strain rates, static tensile tests, dynamic Hopkinson bar tensile tests and Hopkinson bar tests at elevated temperatures. The model and data are evaluated by comparing computation results with data from cylinder impact tests.