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Stress relaxation, creep, and uniaxial strain: General and special features

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Papers devoted to the development of methods of describing the behavior of materials during creep and stress relaxation in terms of uniaxial strain data are usually based on the idea of the existence of a mechanical equation of state, i.e., an equation relating deformation or rate of deformation, temperature, stress, and time for such processes. The idea of a mechanical equation of state was first put forward by Nadai [1] and Zener and Holloman [2]. Holloman [3] has reported some experimental evidence for the existence of such an equation of state. However, Orowan [4], Dorn et al. [5], and Johnson et al. [6] have obtained data which are not in agreement with this idea. Freudenthal [7] has considered the physical basis of these processes and their mathematical description, and has not rejected the basic possibility of conversion of the data of one type of test into another. He ascribes the various difficulties in this area to insufficient knowledge about the nature of these processes. Guiu and Pratt [8] have come to the same conclusion and have noted the complexity of the processes taking place in the material under test.

It follows from the above papers that attempts to describe the mechanical behavior of a solid by a single simple equation of state with the same parameters for every type of test are unlikely to succeed. It is clear that the behavior of a solid under different types of test can be described by a generalized equation, but the parameters of this equation will have different numerical values for each individual type of test, reflecting the particular physical conditions prevailing during stress relaxation, creep, and uniaxial strain. The possibility of describing stress relaxation, creep, and uniaxial strain by a single general equation is discussed below. An analysis of experimental data is used to exhibit both the general and particular features of these processes.

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Vorotnikov, G.S., Rovinskii, B.M. Stress relaxation, creep, and uniaxial strain: General and special features. J Appl Mech Tech Phys 7, 13–17 (1966). https://doi.org/10.1007/BF00914326

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