New Axisymmetric Slip-Line Theory for Metal and Its Application in Indentation Problem
Publication: Journal of Engineering Mechanics
Volume 145, Issue 12
Abstract
Existing axisymmetric slip-line theories for metal are established based on certain hypotheses of circumferential stress and thus lack strictness. This article presents a technique for deriving actual circumferential stress according to circumferential geometric conditions and plastic flow theory. Based on the strict expression of circumferential stress replacing existing hypotheses, a new axisymmetric slip-line theory for metal is developed. Slip lines and stress relations are derived by the transformation of the triangle function. General solutions to two types of boundary conditions are also derived. The new slip-line theory is applied to the problem of indentation by a conical indenter. The slip-line field, the stress fields, and the indentation pressure are calculated, discussed, and compared with those in existing slip-line theories. The derivation and calculation show that the plastic stress fields and the indentation pressure vary with the boundary velocity. The mean vertical pressure on the circular conical surface decreases as the loading rate increases but less so than seen with existing slip-line theories.
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Acknowledgments
This research is supported by the National Basic Research Program of China (Subject code: 2014CB046302) and the Natural Fund Project of China (Subject code: 51678360).
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Published In
Journal of Engineering Mechanics
Volume 145 • Issue 12 • December 2019
Copyright
©2019 American Society of Civil Engineers.
History
Received: Sep 7, 2018
Accepted: Feb 25, 2019
Published online: Sep 28, 2019
Published in print: Dec 1, 2019
Discussion open until: Feb 28, 2020
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