On the Elasto-Plastic Stress Concentration At a Circular Hole in an Anisotropic Sheet
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  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 . © 1982 Springer Verlag.
D. Durban and V. Birman, "On the Elasto-Plastic Stress Concentration At a Circular Hole in an Anisotropic Sheet," Acta Mechanica, Springer Verlag, Jan 1982.
The definitive version is available at http://dx.doi.org/10.1007/BF01175817
Mechanical and Aerospace Engineering
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© 1982 Springer Verlag, All rights reserved.