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.
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Dedicated to Vadim Vasilievich Sokolovskii
Original Russian Text © R.I. Nepershin, 2017, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2017, No. 5, pp. 49–62.
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Nepershin, R.I. Plastic Extension of a Plate with Symmetric Notches. Mech. Solids 52, 511–523 (2017). https://doi.org/10.3103/S0025654417050065
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DOI: https://doi.org/10.3103/S0025654417050065