Plastic flow for axisymmetric-tension specimens with necking

  • V. M. Segal


Plastic deformation of a tension specimen bounded by a curved surface of revolution is considered. Such a configuration may occur, for example, as a result of necking. The specimen material satisfies the Tresca yield condition and the associated flow rule. Approximate solutions for the stress distribution in the neck were examined in [6]. The extension of notched bars was investigated by numerical and graphic methods in [2, 4]. Below, the problem is solved analytically for a sufficiently smooth neck; a small degree of nonuniformity of the plastic properties is taken into account.


Mathematical Modeling Mechanical Engineer Plastic Deformation Approximate Solution Stress Distribution 
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© Consultants Bureau 1972

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  • V. M. Segal

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