This paper is concerned with strain and temperature distributions of a long rod subjected to high longitudinal impact strain. A constitutive equation in Malvern's linear strain-rate dependent theory was used. If dynamic deformation of the rod is adiabatic at a high strain rate, temperature rise caused by plastic work cannot be neglected. The constitutive equation was developed on the following three assumptions with respect to the temperature of the rod.
(1) Dynamic deformation process is adiabatic and all plastic work is converted to heat.
(2) A specific heat is a linear function of temperature.
(3) Material constants in a stress-strain relation of the rod are dependent on its absolute temperature.
A system of basic formulas in a thin rod is hyperbolic, which can be solved numerically by the method of characteristics. The characteristic line is curved due to its dependence on the temperature of rod so that a supplement rectanguler net was used in the numerical analysis.
The numerical results show that the Malvern's theory with the consideration of temperature rise exhibits a steep strain region such as the flow deformation region followed by a strain plateau whose length is a function of strain hardening parameter.
A profile of temperature distribution was similar to that of strain distribution. A region of steep temperature distribution corresponding to the region of flow deformation was followed by a uniform temperature region (temperature plateau) such as the strain plateau.
