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IssuesArchive of Issues2017-5pp.511-523

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R.I. Nepershin, "Plastic Extension of a Plate with Symmetric Notches," Mech. Solids. 52 (5), 511-523 (2017)
Year 2017 Volume 52 Number 5 Pages 511-523
DOI 10.3103/S0025654417050065
Title Plastic Extension of a Plate with Symmetric Notches
Author(s) R.I. Nepershin (Moscow State Technical University "Stankin," Vadkovskii per. 3a, K-55, Moscow, 127944 Russia, nepershin_ri@rambler.ru)
Abstract The problem of extension of a plate with symmetric edge notches of different shape is numerically solved on the basis of the theory of plane stress state of an ideally plastic body under the von Mises plasticity condition. The discontinuities of the tangential and normal components of the velocity along the rigid-plastic boundaries, which result in the plastic strain localization in the neck and the material fracture, are calculated. The obtained results are of practical interest for estimating the limit extension force for a plate with edge notches of different shape and the limit strain of a thin sheet in inhomogeneous biaxial extension.
Keywords plastic forming, thin sheet, limit strain, neck, ideal plasticity, plate with notches, slip line
References
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Received 16 November 2016
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