Pressure-driven wrinkling of soft inner-lined tubes
A simple equation modelling an inextensible elastic lining of an inner-lined tube subject to an imposed pressure difference is derived from a consideration of the idealised elastic properties of the lining and the pressure and soft-substrate forces. Two cases are considered in detail, one with promi...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2022-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ac45cd |
| _version_ | 1797748493336444928 |
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| author | Benjamin Foster Nicolás Verschueren Edgar Knobloch Leonardo Gordillo |
| author_facet | Benjamin Foster Nicolás Verschueren Edgar Knobloch Leonardo Gordillo |
| author_sort | Benjamin Foster |
| collection | DOAJ |
| description | A simple equation modelling an inextensible elastic lining of an inner-lined tube subject to an imposed pressure difference is derived from a consideration of the idealised elastic properties of the lining and the pressure and soft-substrate forces. Two cases are considered in detail, one with prominent wrinkling and a second one in which wrinkling is absent and only buckling remains. Bifurcation diagrams are computed via numerical continuation for both cases. Wrinkling, buckling, folding, and mixed-mode solutions are found and organised according to system-response measures including tension, in-plane compression, maximum curvature and energy. Approximate wrinkle solutions are constructed using weakly nonlinear theory, in excellent agreement with numerics. Our approach explains how the wavelength of the wrinkles is selected as a function of the parameters in compressed wrinkling systems and shows how localised folds and mixed-mode states form in secondary bifurcations from wrinkled states. Our model aims to capture the wrinkling response of arterial endothelium to blood pressure changes but applies much more broadly. |
| first_indexed | 2024-03-12T16:06:33Z |
| format | Article |
| id | doaj.art-6813cf92ea1e467cb1605d021c1a8464 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:06:33Z |
| publishDate | 2022-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-6813cf92ea1e467cb1605d021c1a84642023-08-09T14:20:22ZengIOP PublishingNew Journal of Physics1367-26302022-01-0124101302610.1088/1367-2630/ac45cdPressure-driven wrinkling of soft inner-lined tubesBenjamin Foster0https://orcid.org/0000-0002-0894-9953Nicolás Verschueren1https://orcid.org/0000-0002-1086-4625Edgar Knobloch2Leonardo Gordillo3https://orcid.org/0000-0002-9516-1346Physics Department, University of California at Berkeley , Berkeley, CA 94720, United States of AmericaPhysics Department, University of California at Berkeley , Berkeley, CA 94720, United States of AmericaPhysics Department, University of California at Berkeley , Berkeley, CA 94720, United States of AmericaDepartamento de Física, Facultad de Ciencia, Universidad de Santiago de Chile , ChileA simple equation modelling an inextensible elastic lining of an inner-lined tube subject to an imposed pressure difference is derived from a consideration of the idealised elastic properties of the lining and the pressure and soft-substrate forces. Two cases are considered in detail, one with prominent wrinkling and a second one in which wrinkling is absent and only buckling remains. Bifurcation diagrams are computed via numerical continuation for both cases. Wrinkling, buckling, folding, and mixed-mode solutions are found and organised according to system-response measures including tension, in-plane compression, maximum curvature and energy. Approximate wrinkle solutions are constructed using weakly nonlinear theory, in excellent agreement with numerics. Our approach explains how the wavelength of the wrinkles is selected as a function of the parameters in compressed wrinkling systems and shows how localised folds and mixed-mode states form in secondary bifurcations from wrinkled states. Our model aims to capture the wrinkling response of arterial endothelium to blood pressure changes but applies much more broadly.https://doi.org/10.1088/1367-2630/ac45cdwrinklingfoldingbucklingsoft matterpattern formation |
| spellingShingle | Benjamin Foster Nicolás Verschueren Edgar Knobloch Leonardo Gordillo Pressure-driven wrinkling of soft inner-lined tubes New Journal of Physics wrinkling folding buckling soft matter pattern formation |
| title | Pressure-driven wrinkling of soft inner-lined tubes |
| title_full | Pressure-driven wrinkling of soft inner-lined tubes |
| title_fullStr | Pressure-driven wrinkling of soft inner-lined tubes |
| title_full_unstemmed | Pressure-driven wrinkling of soft inner-lined tubes |
| title_short | Pressure-driven wrinkling of soft inner-lined tubes |
| title_sort | pressure driven wrinkling of soft inner lined tubes |
| topic | wrinkling folding buckling soft matter pattern formation |
| url | https://doi.org/10.1088/1367-2630/ac45cd |
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