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Tribology Letters

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01-06-2015 | Original Paper

A Solution of Rigid–Perfectly Plastic Deep Spherical Indentation Based on Slip-Line Theory

Authors: Robert L. Jackson, Hamid Ghaednia, Sara Pope

Published in: Tribology Letters | Issue 3/2015

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Abstract

During indentation, it is often important to determine the relationship between the average pressure and the yield strength. This work uses slip-line theory to determine this relationship for the case of a rigid sphere indenting a frictionless perfectly plastic half-space (i.e., no hardening). The results show that the ratio between the average contact pressure and the yield strength decreases as the depth of indentation is increased. Note that the slip-line analysis does not include the effects of pileup or sink-in deformations. However, the slip-line theory has also been compared to data generated using the finite element method (FEM). The theory and the FEM results appear to agree well.

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Title: A Solution of Rigid–Perfectly Plastic Deep Spherical Indentation Based on Slip-Line Theory
Authors: Robert L. Jackson
Hamid Ghaednia
Sara Pope
Publication date: 01-06-2015
Publisher: Springer US
Published in: Tribology Letters / Issue 3/2015
Print ISSN: 1023-8883
Electronic ISSN: 1573-2711
DOI: https://doi.org/10.1007/s11249-015-0524-3

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