Study of Two‐Surface Plasticity Theory
Publication: Journal of Engineering Mechanics
Volume 120, Issue 10
Abstract
This paper investigates how the two‐surface plasticity theory predicts material behavior under nonproportional loading conditions. Closed‐form solutions are found for a thin‐walled tube subjected to combined internal pressure and axial load, and the tube response under cyclic linear stress paths is discussed. The investigation shows that according to the two‐surface plasticity theory, the response of the material will stabilize immediately during the first cycle. That is, the memory surface reaches its maximum size with a radius equal to the maximum effective stress and then remains unchanged thereafter, while the yield center translates along a line parallel to the stress path, thus always yielding a constant plastic strain growth rate. As a result, the two‐surface plasticity theory predicts that under any cyclic linear loading conditions, the response of the material can always be ratchetting, with no possibility of shakedown of any kind, which violates those aspects of material behavior that are generally deemed essential.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 120 • Issue 10 • October 1994
Pages: 2179 - 2200
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Aug 23, 1993
Published online: Oct 1, 1994
Published in print: Oct 1994
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