Amendment to the Galin Plane Elastoplastic Solution
Publication: Journal of Engineering Mechanics
Volume 139, Issue 11
Abstract
The literature provides an analytical solution to the state of stress in an infinite plate with a circular notch and biaxial tensile stress. This solution requires that a plastic region fully surrounds the notch. In an existing paper, a minor reshaping mistake at the very end of the derivation occurred that is corrected herein. The purpose of this work is mainly to document literature and to provide an amendment to the analytical solution. Numerical simulations using finite elements prove the validity of the corrected equation.
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Acknowledgments
The authors express their gratitude to the reviewers for their clear and helpful comments. C. C. Celigoj thanks Prof. A. K. Belyaev (Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia) for making available the original paper of Galin.
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Published In
Journal of Engineering Mechanics
Volume 139 • Issue 11 • November 2013
Pages: 1658 - 1662
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Jul 11, 2011
Accepted: Feb 13, 2013
Published online: Feb 15, 2013
Published in print: Nov 1, 2013
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