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The evolution of the stress distribution in plane-stress contained plasticity problems

  • P. S. Theocaris
Conference paper

Abstract

Thin flat-plate specimens of ductile materials subjected to pure tension are necked before fracture. It may be considered that the shape of the neck influences the mode of fracture of a specimen. Generally, fractures of thin-plate specimens begin at the interior of the specimen and spread outward to the boundaries showing a cleavage type at the interior followed by a shear type at the vicinity of the boundaries. This indicates that stresses at the interior of the necked specimen are higher than those at the boundaries. Similar phenomena appear in moderately notched specimens when they exceed the limit of elastic deformation and plastic enclaves are established in parts of the specimen.

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References

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    Theocaris, P. S.: Une analogie électrique pour la solution des problèmes de plasticité en contrainte plane. Rev. Franç. Méc. I (1962) Nos. 2, 3, pp. 141-142. See also: A Combined Photoelastic and Electrical Analog Method for the Solution of Plane-Stress Plasticity Problems. Exp. Mech. 3 (September 1963) 207-214.Google Scholar
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    Hill, R.: On Discontinuous Plastic States, With Special Reference to Localized Necking in Thin Sheets. J. Mech. Phys. Solids 1 (1952) 19–30.MathSciNetCrossRefGoogle Scholar
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    Prager, W., and P. Hodge, jr.: Theory of Perfectly Plastic Solids, New York: John Wiley & Sons 1951, pp. 213–222.MATHGoogle Scholar
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    Neuber, H.: Theory of Stress Concentration for Shear Strained Prismatic Bodies with Arbitrary Nonlinear Stress-Strain Law. J. Appl. Mech. Vol.28; Transactions ASME Vol. 83, Ser. E (1961) 544-550.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1966

Authors and Affiliations

  • P. S. Theocaris
    • 1
  1. 1.Athens National Technical UniversityGreece

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