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Curvature Regularization near Contacts with Stretched Elastic Tubes.
Bhargav Rallabandi1, Joel Marthelot2,3, Etienne Jambon-Puillet2
1Department of Mechanical Engineering, University of California, Riverside, California 92521, USA.
Physical Review Letters
|November 9, 2019
Summary
Stretching elastic tubes introduces a new way to control curvature at contact lines, independent of bending stiffness. This discovery allows inferring tube properties from curvature changes under tension.
Area of Science:
- Physics
- Materials Science
- Mechanical Engineering
Background:
- Inserting rigid objects into soft elastic tubes creates contact lines.
- Tube wall curvature at contact lines is usually regularized by bending rigidity.
Purpose of the Study:
- To investigate a second, independent mechanism for curvature regularization in stretched elastic tubes.
- To explore the relationship between applied stretching force and curvature.
Main Methods:
- Experimental analysis of elastic tubes under axial stretching.
- Application of a Föppl-von Kármán-like theory.
Main Results:
- Axial stretching introduces a new curvature regularization mechanism.
- Curvature increases with stretching force and decreases with tube thickness.
- Curvature dependence on rescaled stretching force is universal and independent of intruder shape.
Conclusions:
- Stretching induces an interplay between longitudinal and hoop stresses, governing curvature.
- Curvature measurements can determine mechanical properties of stretched tubular structures.
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