The Mechanical Equation Of State

IN a recent paper,1 a very early suggestion by Ludwik2 concerning the nature of the mechanical behavior of metals has been reexamined and extended. In essence it was [ ] suggested that there exists, at least under certain conditions, a mechanical equation of state; that the stress required for flow depends upon the instantaneous values of the strain, strain rate, and temperature, and not upon their past values. It is proposed that under these circumstances the stress does not depend upon past history of these variables, but is like the temperature of a gas that depends only upon the I instantaneous values of the pressure and volume. This notion has not been applied to present day studies of metals, though it is especially applicable to the study of creep. It is the purpose of this paper to analyze the significance and possible range [ ] of applicability of this idea and to deter- mine how it influences the accepted ideas concerning creep. STRESS-STRAIN RELATIONS It is well known that the stress-strain curves of metals are influenced by both strain rate and temperature. For a fixed strain rate and temperature there is associated with each metal a stress-strain curve. If either the strain rate or temperature is changed a new stress-strain curve will be characteristic (Fig. I). A much more general relation between the effects of the sevariables is possible, however. Consider the stress-strain curves of Fig. I determined at