Research Article
Dec 1961
Range of Yield Conditions in Ideal Plasticity
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VIEW THE REPLYPublication: Journal of the Engineering Mechanics Division
Volume 87, Issue 6
Abstract
The properties of ideal rigid-plastic solids are used to define bounding yield conditions that remain valid when test results are available for only one stress state, such as simple tension or simple shear. For material in which yield is insensitive to changes in mean stress, the bounding yield conditions are shown to be the maximum shear-stress criterion of Tresca and a new criterion designated as the maximum reduced stress criterion. Use of both criteria enables the best possible bounds to be obtained for the carrying capacity of a structure in the absence of further information. Parallel results are obtained for material in which yield strength is a linear function of the mean stress, and some examples are given.
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Published In
Journal of the Engineering Mechanics Division
Volume 87 • Issue 6 • December 1961
Pages: 117 - 133
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© 1961 American Society of Civil Engineers.
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Published in print: Dec 1961
Published online: Feb 3, 2021
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R.M. Haythornthwaite, M.ASCE
Prof. of Engrg. Science, The Univ. of Michigan, Ann Arbor, Mich.
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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.