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Plastic flow past a smooth cone

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Summary

A new exact solution is obtained of the equations which govern the axially symmetric flow, in the kinematically determined regime, of a rigid-perfectly plastic solid which obeys Tresca's yield condition and associated flow rule. The solution is also valid for an ideal granular material which obeys the Coulomb-Mohr condition and the double-shearing flow equations. This solution is applied to the problem of flow of an infinite medium past a smooth rigid infinite cone. By the superposition of an axial velocity, the solution also describes the penetration of an infinite body by a cone.

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Authors and Affiliations

  1. Department of Theoretical Mechanics, University of Nottingham, University Park, NG7 2RD, Nottingham, UK

    A. J. M. Spencer

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  1. A. J. M. Spencer
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Spencer, A.J.M. Plastic flow past a smooth cone. Acta Mechanica 54, 63–74 (1984). https://doi.org/10.1007/BF01190596

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  • DOI: https://doi.org/10.1007/BF01190596

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