Representation of Mechanical Behavior in the Presence of Changing Internal Structure

[+] Author and Article Information
E. T. Onat

Department of Mechanical Engineering, Yale University, New Haven, CT 06520

F. A. Leckie

Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, IL 61801

J. Appl. Mech 55(1), 1-10 (Mar 01, 1988) (10 pages) doi:10.1115/1.3173630 History: Received April 01, 1986; Revised June 20, 1987; Online July 21, 2009


The paper is concerned with the representation of the relationship that exists, for a given material and temperature and for small deformations, between histories of applied stress and the observed strain and the accompanying changes in internal structure of the material. Emphasis is given to creep damage in metals as a vehicle for illustration of the main ideas introduced in the paper. In particular, the role played by irreducible even rank tensors in the representation of internal structure is discussed and clarified. The restrictions placed by thermodynamics on constitutive equations are considered and the use of potentials in these equations is examined and criticized.

Copyright © 1988 by ASME
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