The displacement field at the minimum cross section of an axisymmetrical notched tensile bar is analytically related to the notch root radius for large geometry changes of the notch profile. This relationship is used to complete Bridgman’s formula for the tensile load of a tensile necking in order to predict the entire load-minimum diameter curve of an axisymmetrical blunt notched bar under tension. A particular case is solved by a finite element modeling to check the theoretical results derived at different stages of the analysis.
On Bridgman’s Stress Solution for a Tensile Neck Applied to Axisymmetrical Blunt Notched Tension Bars
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, Oct. 15, 1998; final revision, Nov. 29, 2000. Associate Editor: K. T. Ramesh. Discussion on the paper should be addressed to the Editor, Professor Lewis T. Wheeler, Department of Mechanical Engineering, University of Houston, Houston, TX 77204-4792, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Valiente, A. (November 29, 2000). "On Bridgman’s Stress Solution for a Tensile Neck Applied to Axisymmetrical Blunt Notched Tension Bars ." ASME. J. Appl. Mech. May 2001; 68(3): 412–419. https://doi.org/10.1115/1.1360689
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