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RESEARCH PAPERS

The Stresses in an Elastoplastic Bar Subjected to a Sudden Change of Surface Temperature

[+] Author and Article Information
E. W. Parkes

University of Leicester, Deportment of Engineering, Leicester, England

J. Appl. Mech 28(3), 434-438 (Sep 01, 1961) (5 pages) doi:10.1115/1.3641724 History: Received August 31, 1960; Online September 16, 2011

Abstract

An analysis is given for the stress history in an elastoplastic bar subjected to a sudden change of surface temperature. The type of behavior is found to depend on the ratio of thermal strain (αV) to yield strain (σy /E). For EαV/σy < 1, the stresses are entirely elastic. For 1 < EαV/σy < 2.04 there are two transient zones of compressive yielding. For 2.04 < EαV/σy < 4.4 there are two transient zones of compressive yielding and two enduring zones of tensile yielding. For EαV/σy > 4.4 there are two transient zones of compressive yielding, one transient zone of tensile yielding, and two enduring zones of tensile yielding. The investigation is restricted to the range 0 ≤ EαV/σy ≤ 5 and the particular case EαV/σy → ∞. Detailed solutions are given for EαV/σy = 1, 2, 3, 4, 5, and ∞.

Copyright © 1961 by ASME
Topics: Temperature , Stress
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