Acta Mechanica

, Volume 43, Issue 1–2, pp 73–84

On the elasto-plastic stress concentration at a circular hole in an anisotropic sheet

  • D. Durban
  • V. Birman
Contributed Papers

DOI: 10.1007/BF01175817

Cite this article as:
Durban, D. & Birman, V. Acta Mechanica (1982) 43: 73. doi:10.1007/BF01175817

Summary

The classical problem of determining the stress concentration factor at a circular hole embedded in an infinite sheet subjected to remote uniform tension is investigated. A finite strain elasto-plastic deformation theory based on Hill's new anisotropic flow theory [7] is used. It is shown that the governing field equations can be reduced to a single first order differential equation from which the stress concentration factor is obtained by a standard numerical method. The solution covers the entire elasto-plastic range and is valid for any strain hardening function. Comparison with experimental results, for a few materials, shows good agreement.

With a pure power hardening law and within the framework of small strain plasticity, our results agree with those obtained from a more general solution discovered by Budiansky [8].

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Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • D. Durban
    • 1
  • V. Birman
    • 1
  1. 1.Department of Aeronautical EngineeringTechnion-Israel Institute of TechnologyHaifaIsrael

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