On Bridgman’s Stress Solution for a Tensile Neck Applied to Axisymmetrical Blunt Notched Tension Bars

Abstract

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.