Abstract
IT is generally accepted that slip occurs in poly-crystalline materials along planes subject to the maximum or principal shear stress, inclined at 45° to the principal stress directions. In tensile tests on parallel specimens it has been reported1 that plastic working advances behind a front inclined at an angle of 35° to the non-zero principal stress. This is not applicable to specimens having varying cross-sectional area where work-hardening appears to occur simultaneously with the progression of a plastic front which has been observed to be normal to the axis of the specimen. In biaxial stress systems plastic working along slip lines has been observed not to be contained within a front2. Bijlaard3 has examined the simple tension case. Using a similar analysis it can be shown that for non-dilatational incremental plastic strains a ‘front’ exists at 35° to the cross-section behind which deformation can take place to produce zero normal strain along the front. Such deformation would be free from restraint arising from the material ahead of the front, and it is plausible to believe that the propagation of a front and also fracture by necking may be determined by this property.
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References
Nadai, A., Theory of Flow and Fracture of Solids, second ed. (McGraw-Hill, 1950).
Snell, C., and Lambert, T. H., Engineering Materials and Design, 6, No. 3 (March 1963).
Bijlaard, P. P., De Ingenieur in Ned. Indie., No. 8 (1940).
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SNELL, C., LAMBERT, T. Yield Front in the Propagation of Plastic Deformation in Normalized Mild Steel. Nature 199, 62 (1963). https://doi.org/10.1038/199062a0
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DOI: https://doi.org/10.1038/199062a0
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