The recently developed theory for isotropic material failure is briefly outlined. Many steps and stages of the verification process for the theory are fully documented so that it can be used with assurance in a wide variety of directions. Then, the failure theory is used to develop a new measure or index for the degree of ductility of material failure in any state of stress. This new failure property is named the ductility number, Nd. It is rigorously derived, intuitively compatible, and very easy to use. Applications and interpretations of Nd are given.
The Ductility Number Nd Provides a Rigorous Measure for the Ductility of Material Failure
Manuscript received December 11, 2018; final manuscript received December 13, 2018; published online January 25, 2019. Editor: Yonggang Huang.
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Christensen, R. M. (January 25, 2019). "The Ductility Number Nd Provides a Rigorous Measure for the Ductility of Material Failure." ASME. J. Appl. Mech. April 2019; 86(4): 041001. https://doi.org/10.1115/1.4042291
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