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Archive of Applied Mechanics
Published in: Archive of Applied Mechanics 2/2020

27-09-2019 | Original

Surface Zener–Stroh crack model to slip band due to contact

Authors: Yumei Zhang, Lifeng Ma

Published in: Archive of Applied Mechanics | Issue 2/2020

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Abstract

A surface slip band due to contact by a rectangular rigid flat-ended indenter is investigated. An inclined Zener–Stroh crack model is proposed to simulate the slip band. By using the fundamental solution of a single dislocation in a half plane as Green’s function, the Zener–Stroh crack is modeled with continuously distributed dislocations. It leads to a singular integral equation of the first kind, which is solved with the Gauss–Chebyshev numerical quadrature, and then stress intensity factors (SIFs) at the crack tips are evaluated. It is demonstrated that the Zener–Stroh crack model can efficiently capture micro deformation behavior of the surface slip band due to contact. With this model, the corresponding relations of the applied load, the slip band length, the relative sliding displacement of slip band and SIFs are obtained. Compared with the experimental results, it is shown that the surface Zener–Stroh crack model to contact slip band can well address such kind of contact damage problems.
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Appendix
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Metadata
Title
Surface Zener–Stroh crack model to slip band due to contact
Authors
Yumei Zhang
Lifeng Ma
Publication date
27-09-2019
Publisher
Springer Berlin Heidelberg
Published in
Archive of Applied Mechanics / Issue 2/2020
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-019-01606-0

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