Fringe instability in constrained soft elastic layers
Soft elastic layers with top and bottom surfaces adhered to rigid bodies are abundant in biological organisms and engineering applications. As the rigid bodies are pulled apart, the stressed layer can exhibit various modes of mechanical instabilities. In cases where the layer's thickness is muc...
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| Format: | Article |
| Language: | en_US |
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Royal Society of Chemistry
2017
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| Online Access: | http://hdl.handle.net/1721.1/107250 https://orcid.org/0000-0002-9449-5790 https://orcid.org/0000-0001-7015-058X https://orcid.org/0000-0003-1710-9750 https://orcid.org/0000-0003-2912-1538 https://orcid.org/0000-0001-5387-6186 |
| _version_ | 1826189607881932800 |
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| author | Lin, Shaoting Cohen, Tal Zhang, Teng Yuk, Hyunwoo Abeyaratne, Rohan Zhao, Xuanhe |
| author2 | Massachusetts Institute of Technology. Department of Civil and Environmental Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Lin, Shaoting Cohen, Tal Zhang, Teng Yuk, Hyunwoo Abeyaratne, Rohan Zhao, Xuanhe |
| author_sort | Lin, Shaoting |
| collection | MIT |
| description | Soft elastic layers with top and bottom surfaces adhered to rigid bodies are abundant in biological organisms and engineering applications. As the rigid bodies are pulled apart, the stressed layer can exhibit various modes of mechanical instabilities. In cases where the layer's thickness is much smaller than its length and width, the dominant modes that have been studied are the cavitation, interfacial and fingering instabilities. Here we report a new mode of instability which emerges if the thickness of the constrained elastic layer is comparable to or smaller than its width. In this case, the middle portion along the layer's thickness elongates nearly uniformly while the constrained fringe portions of the layer deform nonuniformly. When the applied stretch reaches a critical value, the exposed free surfaces of the fringe portions begin to undulate periodically without debonding from the rigid bodies, giving the fringe instability. We use experiments, theory and numerical simulations to quantitatively explain the fringe instability and derive scaling laws for its critical stress, critical strain and wavelength. We show that in a force controlled setting the elastic fingering instability is associated with a snap-through buckling that does not exist for the fringe instability. The discovery of the fringe instability will not only advance the understanding of mechanical instabilities in soft materials but also have implications for biological and engineered adhesives and joints. |
| first_indexed | 2024-09-23T08:18:19Z |
| format | Article |
| id | mit-1721.1/107250 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:18:19Z |
| publishDate | 2017 |
| publisher | Royal Society of Chemistry |
| record_format | dspace |
| spelling | mit-1721.1/1072502022-09-30T08:54:34Z Fringe instability in constrained soft elastic layers Lin, Shaoting Cohen, Tal Zhang, Teng Yuk, Hyunwoo Abeyaratne, Rohan Zhao, Xuanhe Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Massachusetts Institute of Technology. Department of Mechanical Engineering Lin, Shaoting Cohen, Tal Zhang, Teng Yuk, Hyunwoo Abeyaratne, Rohan Zhao, Xuanhe Soft elastic layers with top and bottom surfaces adhered to rigid bodies are abundant in biological organisms and engineering applications. As the rigid bodies are pulled apart, the stressed layer can exhibit various modes of mechanical instabilities. In cases where the layer's thickness is much smaller than its length and width, the dominant modes that have been studied are the cavitation, interfacial and fingering instabilities. Here we report a new mode of instability which emerges if the thickness of the constrained elastic layer is comparable to or smaller than its width. In this case, the middle portion along the layer's thickness elongates nearly uniformly while the constrained fringe portions of the layer deform nonuniformly. When the applied stretch reaches a critical value, the exposed free surfaces of the fringe portions begin to undulate periodically without debonding from the rigid bodies, giving the fringe instability. We use experiments, theory and numerical simulations to quantitatively explain the fringe instability and derive scaling laws for its critical stress, critical strain and wavelength. We show that in a force controlled setting the elastic fingering instability is associated with a snap-through buckling that does not exist for the fringe instability. The discovery of the fringe instability will not only advance the understanding of mechanical instabilities in soft materials but also have implications for biological and engineered adhesives and joints. United States. Office of Naval Research (Grant N00014-14-1-0528) Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies National Science Foundation (U.S.) (Grant CMMI- 1253495) Samsung Scholarship Foundation National Institutes of Health (U.S.) (Grant UH3TR000505) MIT-Technion Fellowship 2017-03-09T16:26:59Z 2017-03-09T16:26:59Z 2016-10 2016-07 Article http://purl.org/eprint/type/JournalArticle 1744-683X 1744-6848 http://hdl.handle.net/1721.1/107250 Lin, Shaoting et al. “Fringe Instability in Constrained Soft Elastic Layers.” Soft Matter 12.43 (2016): 8899–8906. © 2016 Royal Society of Chemistry https://orcid.org/0000-0002-9449-5790 https://orcid.org/0000-0001-7015-058X https://orcid.org/0000-0003-1710-9750 https://orcid.org/0000-0003-2912-1538 https://orcid.org/0000-0001-5387-6186 en_US http://dx.doi.org/10.1039/c6sm01672c Soft Matter Creative Commons Attribution-NonCommercial 3.0 Unported https://creativecommons.org/licenses/by-nc/3.0/ application/pdf Royal Society of Chemistry Royal Society of Chemistry |
| spellingShingle | Lin, Shaoting Cohen, Tal Zhang, Teng Yuk, Hyunwoo Abeyaratne, Rohan Zhao, Xuanhe Fringe instability in constrained soft elastic layers |
| title | Fringe instability in constrained soft elastic layers |
| title_full | Fringe instability in constrained soft elastic layers |
| title_fullStr | Fringe instability in constrained soft elastic layers |
| title_full_unstemmed | Fringe instability in constrained soft elastic layers |
| title_short | Fringe instability in constrained soft elastic layers |
| title_sort | fringe instability in constrained soft elastic layers |
| url | http://hdl.handle.net/1721.1/107250 https://orcid.org/0000-0002-9449-5790 https://orcid.org/0000-0001-7015-058X https://orcid.org/0000-0003-1710-9750 https://orcid.org/0000-0003-2912-1538 https://orcid.org/0000-0001-5387-6186 |
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