Analytical Formulation of a Rate and Temperature Dependent Stress-Strain Relation

[+] Author and Article Information
A. Merzer, S. R. Bodner

Technion - Israel Institute of Technology, Haifa, Israel

J. Eng. Mater. Technol 101(3), 254-257 (Jul 01, 1979) (4 pages) doi:10.1115/1.3443685 History: Received September 04, 1978; Online August 17, 2010


The equation for plastic strain rate in the Bodner-Partom viscoplastic formulation is integrated under conditions of uniaxial stress, constant plastic strain rate, and isotropic hardening to give an analytical expression for the stress as a function of plastic strain and strain rate. Temperature dependence is introduced which leads to a general relationship between stress, strain, strain rate, and temperature. The resulting equation indicates an asymptotic saturation stress whose dependence on strain rate and temperature appears to agree with experimental results. Strain hardening given by the analytical equation also seems to be consistent with experiments. A possible new definition of yield stress is a consequence of the rate dependent stress-strain relation.

Copyright © 1979 by ASME
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