A PC-Based Modeling Tool for Creep, Fatigue, and Creep-Fatigue Interactions Using a Viscoplasticity Theory

[+] Author and Article Information
J. T. Fong

Applied and Computational Mathematics Division, National Institute of Standards and Technology, Gaithersburg, MD 20899

B. Bernstein

Department of Mathematics, Illinois Institute of Technology, Chicago, IL 60616

J. Pressure Vessel Technol 113(2), 174-179 (May 01, 1991) (6 pages) doi:10.1115/1.2928744 History: Received January 22, 1991; Revised April 03, 1991; Online June 17, 2008


Computational results for modeling one-dimensional stress relaxation, creep, fatigue, and creep-fatigue interaction phenomena of metals at elevated temperatures using a unifying thermodynamic theory of viscoplasticity are presented. The theory incorporates in a nonequilibrium formulation the idea of a “concealed” parameter α, originally due to Bridgman (1950), where the constitutive equations are governed by 1) a thermodynamic potential such as the Helmholtz free energy function F with an explicit dependence on α, and 2) a prescription for α̇, the time rate of change of α, such that α̇ is proportional to −F α , the negative of the partial derivative of F with respect to α. Significance of the results and a comparison with other modeling tools in the literature are discussed.

Copyright © 1991 by The American Society of Mechanical Engineers
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