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RESEARCH PAPERS

General Bounding Theorems for the Quasi-Static Deformation of a Body of Inelastic Material, With Applications to Metallic Creep

[+] Author and Article Information
A. R. S. Ponter

Department of Engineering, University of Leicester, Leicester, England

J. Appl. Mech 41(4), 947-952 (Dec 01, 1974) (6 pages) doi:10.1115/1.3423488 History: Received July 01, 1973; Revised December 01, 1973; Online July 12, 2010

Abstract

General displacement and work bounds are derived for the small-deflection quasi-static deformation of a body composed of a material which exhibits both elastic and inelastic strains. The bounds are described in terms of functional properties of the constitutive relationships. The results are specialized to an elastic/perfectly plastic and nonlinear viscous material and known results are recovered. Special emphasis is given to problems associated with the analysis of creep deformation of metallic structures.

Copyright © 1974 by ASME
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