Influence of Elasto-Plastic Transition on the Inelastic Response of Beams and Plates

[+] Author and Article Information
K. S. Raghavan, S. S. Rao

Department of Mechanical Engineering, Indian Institute of Technology, Kanpur-208016, India

J. Appl. Mech 45(3), 521-526 (Sep 01, 1978) (6 pages) doi:10.1115/1.3424355 History: Received April 01, 1977; Revised December 01, 1977; Online July 12, 2010


The paper deals with a study of the significance of elastoplastic transition state in the dynamic response of Euler beams and thin plates. The study is based on a comparative evaluation of the responses predicted by two independent approaches that use (i) stress-strain relation and basic plasticity theory and (ii) moment-curvature relation; assuming the shape factor to be unity. Responses are evaluated by way of finite-element idealization followed by numerical integration. It is found that the simplified model, based on moment-curvature relations, underestimates the response by a significant amount for longer durations of the applied load.

Copyright © 1978 by ASME
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