1990 Volume 76 Issue 12 Pages 2152-2158
Apllicability of the temperature and strain rate-dependent constitutive equations proposed by L. ANAND, which is based on an internal-variable theory, is examined for a high carbon low alloy cast steel.
It is shown that with relatively less number of compression test data these equations can well predict the stress-strain relations of the material at elevated temperatures in excess of a homologous temperature of 0.5.
Formulation by the finite element method is done based on these constitutive equations to calculate thermal stress state during solidification and subsequent cooling period of an ingot of the above steel, which shows that the method described in this paper is useful for analyzing thermally-induced high temperature problems of castings. The method also offers a simplified, straightforward algorithm of FEM compared with the classical treatment where the stress-strain relationship is modelled by the combinations of time-independent elastoplasticity and of elastoplasticity and creep.