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 α˙, the time rate of change of α, such that α˙ is proportional to −Fα, 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.
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A PC-Based Modeling Tool for Creep, Fatigue, and Creep-Fatigue Interactions Using a Viscoplasticity Theory
J. T. Fong,
J. T. Fong
Applied and Computational Mathematics Division, National Institute of Standards and Technology, Gaithersburg, MD 20899
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B. Bernstein
B. Bernstein
Department of Mathematics, Illinois Institute of Technology, Chicago, IL 60616
Search for other works by this author on:
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. May 1991, 113(2): 174-179 (6 pages)
Published Online: May 1, 1991
Article history
Received:
January 22, 1991
Revised:
April 3, 1991
Online:
June 17, 2008
Citation
Fong, J. T., and Bernstein, B. (May 1, 1991). "A PC-Based Modeling Tool for Creep, Fatigue, and Creep-Fatigue Interactions Using a Viscoplasticity Theory." ASME. J. Pressure Vessel Technol. May 1991; 113(2): 174–179. https://doi.org/10.1115/1.2928744
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