Research Article
Feb 1966
Limit Analysis of Notched Tension Specimens
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VIEW THE REPLYPublication: Journal of the Engineering Mechanics Division
Volume 92, Issue 1
Abstract
In the authors' two theorems on limit analysis based on variational principles, the upper and the lower bounds of the safety factor are expressed in terms of functionals that can be optimized to yield the best bounds. In this paper, the proposed theorems are restated for the case of plane stress and then applied to the study of the safety factor of circular notched tension specimens. The material is assumed to be isotropic, perfectly plastic and obeys the Mises yield criterion. The study involves finding the effect of the assumed stress and velocity fields, the radius of the notch, and the height to width ratio of the specimen on both bounds. The bounds of a special case are compared to those obtained by Prager and Hodge for the same case assuming plane strain condition. Finally, the solution of the cirular notched tension specimens are modified in order to apply the results to v-notched specimens.
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Published In
Journal of the Engineering Mechanics Division
Volume 92 • Issue 1 • February 1966
Pages: 11 - 24
Copyright
© 1966 American Society of Civil Engineers.
History
Published in print: Feb 1966
Published online: Feb 3, 2021
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Authors
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Walid H. Rimawi, AM.ASCE
Asst. Prof. of Structural Mechanics, Univ. of Illinois, Chicago Circle, Chicago, Ill.
Seng-Lip Lee, M.ASCE
Prof. of Civ. Engrg., Northwestern Univ., Evanston, Ill.
T Mura
Assoc. Prof. of Civ. Engrg., Northwestern Univ., Evanston, Ill.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.