Journal article
Wrinkling composite sheets
- Abstract:
- We examine the buckling shape and critical compression of confined inhomogeneous composite sheets lying on a liquid foundation. The buckling modes are controlled by the bending stiffness of the sheet, the density of the substrate, and the size and the spatially dependent elastic coefficients of the sheet. We solve the beam equation describing the mechanical equilibrium of a sheet when its bending stiffness varies parallel to the direction of confinement. The case of a homogeneous bending stiffness exhibits a degeneracy of wrinkled states for certain lengths of the confined sheet; we explain this degeneracy using an asymptotic analysis valid for long sheets, and show that it corresponds to the switching of the sheet between symmetric and antisymmetric buckling modes. This degeneracy disappears for spatially dependent elastic coefficients. Medium length sheets buckle similarly to their homogeneous counterparts, whereas the wrinkled states in large length sheets concentrate the bending energy towards the soft regions of the sheet.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Version of record, pdf, 1.7MB, Terms of use)
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- Publisher copy:
- 10.1039/D3SM00430A
Authors
- Publisher:
- Royal Society of Chemistry
- Journal:
- Soft Matter More from this journal
- Volume:
- 19
- Pages:
- 8729-8743
- Publication date:
- 2023-09-25
- Acceptance date:
- 2023-09-23
- DOI:
- EISSN:
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1744-6848
- ISSN:
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1744-683X
- Language:
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English
- Keywords:
- Pubs id:
-
1536468
- Local pid:
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pubs:1536468
- Deposit date:
-
2023-09-26
Terms of use
- Copyright holder:
- The Royal Society of Chemistry
- Copyright date:
- 2023
- Rights statement:
- © The Royal Society of Chemistry 2023. his article is licensed under a Creative Commons Attribution 3.0 Unported Licence.
- Licence:
- CC Attribution (CC BY)
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