Effects of interfacial friction on flaw tolerant adhesion between two dissimilar elastic solids

Flaw tolerance refers to a state in which a pre-existing crack-like flaw does not propagate even as the material is stretched to failure near its theoretical strength. Such an optimal scenario can be achieved when the characteristic length scale is reduced to below a critical value. So far, the crit...

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Main Authors: Yao, Haimin, Gao, Huajian
Other Authors: Massachusetts Institute of Technology. Department of Materials Science and Engineering
Format: Article
Language:en_US
Published: Elsevier 2015
Online Access:http://hdl.handle.net/1721.1/96331
https://orcid.org/0000-0003-0549-2246
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author Yao, Haimin
Gao, Huajian
author2 Massachusetts Institute of Technology. Department of Materials Science and Engineering
author_facet Massachusetts Institute of Technology. Department of Materials Science and Engineering
Yao, Haimin
Gao, Huajian
author_sort Yao, Haimin
collection MIT
description Flaw tolerance refers to a state in which a pre-existing crack-like flaw does not propagate even as the material is stretched to failure near its theoretical strength. Such an optimal scenario can be achieved when the characteristic length scale is reduced to below a critical value. So far, the critical conditions to achieve flaw tolerance have been discussed mostly for homogeneous materials or for two dissimilar materials in frictionless or perfectly bonded adhesion. In this paper, we consider the role of friction in flaw tolerant adhesion between two dissimilar elastic solids. We adopt a frictional contact model in which slip is allowed wherever the shear stress along the interface reaches a threshold value defined as the friction strength. The critical length scale for flaw tolerance is derived analytically for a penny-shaped crack and for an external circular crack. Compared to the cases of frictionless contact, we find that interfacial friction can reduce the critical length scales for flaw tolerance by up to 12.5%.
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spelling mit-1721.1/963312022-09-30T12:05:00Z Effects of interfacial friction on flaw tolerant adhesion between two dissimilar elastic solids Yao, Haimin Gao, Huajian Massachusetts Institute of Technology. Department of Materials Science and Engineering Yao, Haimin Flaw tolerance refers to a state in which a pre-existing crack-like flaw does not propagate even as the material is stretched to failure near its theoretical strength. Such an optimal scenario can be achieved when the characteristic length scale is reduced to below a critical value. So far, the critical conditions to achieve flaw tolerance have been discussed mostly for homogeneous materials or for two dissimilar materials in frictionless or perfectly bonded adhesion. In this paper, we consider the role of friction in flaw tolerant adhesion between two dissimilar elastic solids. We adopt a frictional contact model in which slip is allowed wherever the shear stress along the interface reaches a threshold value defined as the friction strength. The critical length scale for flaw tolerance is derived analytically for a penny-shaped crack and for an external circular crack. Compared to the cases of frictionless contact, we find that interfacial friction can reduce the critical length scales for flaw tolerance by up to 12.5%. 2015-04-02T16:33:46Z 2015-04-02T16:33:46Z 2008-10 2008-09 Article http://purl.org/eprint/type/JournalArticle 00207683 http://hdl.handle.net/1721.1/96331 Yao, Haimin, and Huajian Gao. “Effects of Interfacial Friction on Flaw Tolerant Adhesion Between Two Dissimilar Elastic Solids.” International Journal of Solids and Structures 46, no. 3–4 (February 2009): 860–870. © 2008 Elsevier Ltd. https://orcid.org/0000-0003-0549-2246 en_US http://dx.doi.org/10.1016/j.ijsolstr.2008.09.035 International Journal of Solids and Structures Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Elsevier Elsevier
spellingShingle Yao, Haimin
Gao, Huajian
Effects of interfacial friction on flaw tolerant adhesion between two dissimilar elastic solids
title Effects of interfacial friction on flaw tolerant adhesion between two dissimilar elastic solids
title_full Effects of interfacial friction on flaw tolerant adhesion between two dissimilar elastic solids
title_fullStr Effects of interfacial friction on flaw tolerant adhesion between two dissimilar elastic solids
title_full_unstemmed Effects of interfacial friction on flaw tolerant adhesion between two dissimilar elastic solids
title_short Effects of interfacial friction on flaw tolerant adhesion between two dissimilar elastic solids
title_sort effects of interfacial friction on flaw tolerant adhesion between two dissimilar elastic solids
url http://hdl.handle.net/1721.1/96331
https://orcid.org/0000-0003-0549-2246
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