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Curvature Regularization near Contacts with Stretched Elastic Tubes

Author(s): Rallabandi, Bhargav; Marthelot, Joel; Jambon-Puillet, Etienne; Brun, Pierre-Thomas; Eggers, Jens

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Abstract: Inserting a rigid object into a soft elastic tube produces conformal contact between the two, resulting in contact lines. The curvature of the tube walls near these contact lines is often large and is typically regularized by the finite bending rigidity of the tube. Here, it is demonstrated using experiments and a Föppl–von Kármán–like theory that a second, independent, mechanism of curvature regularization occurs when the tube is axially stretched. In contrast with the effects of finite bending rigidity, the radius of curvature obtained increases with the applied stretching force and decreases with sheet thickness. The dependence of the curvature on a suitably rescaled stretching force is found to be universal, independent of the shape of the intruder, and results from an interplay between the longitudinal stresses due to the applied stretch and hoop stresses characteristic of curved geometry. These results suggest that curvature measurements can be used to infer the mechanical properties of stretched tubular structures.
Publication Date: 17-Oct-2019
Citation: Rallabandi, Bhargav, Marthelot, Joel, Jambon-Puillet, Etienne, Brun, P-T, Eggers, Jens. (2019). Curvature Regularization near Contacts with Stretched Elastic Tubes. Physical Review Letters, 123 (16), 168002-1 - 168002-5. doi:10.1103/physrevlett.123.168002
DOI: doi:10.1103/physrevlett.123.168002
ISSN: 0031-9007
EISSN: 1079-7114
Pages: 168002-1 - 168002-5
Language: eng
Type of Material: Journal Article
Journal/Proceeding Title: Physical Review Letters
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

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