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Elliptical adhesive contact under biaxial stretching
I Argatov1, A Papangelo2,3, M Ciavarella2,3
1Faculty of Technology and Society, Malmö University, 205 06 Malmö, Sweden.
Proceedings. Mathematical, Physical, and Engineering Sciences
|February 22, 2020
Summary
This study models adhesive contact on stretched elastic materials using the Johnson-Kendall-Roberts framework. It introduces a new model for understanding cell mechanics on flexible substrates.
Area of Science:
- Solid Mechanics
- Biophysics
- Materials Science
Background:
- Understanding adhesive contact is crucial for cell mechanics on deformable substrates.
- Existing models often simplify the complex interactions at the contact interface.
- Stretchable substrates introduce unique challenges in modeling adhesive behavior.
Purpose of the Study:
- To develop a theoretical model for adhesive contact between a Hertzian indenter and a bi-directionally stretched incompressible elastic substrate.
- To incorporate fracture mechanics principles into the modeling of adhesive interactions.
- To provide a framework for analyzing passive-adhesive mechanisms in cell mechanics.
Main Methods:
- Utilized the Johnson-Kendall-Roberts (JKR) theoretical framework for adhesive contact.
- Developed an approximate model by analyzing energy release rates at the contact ellipse edges.
- Introduced a phenomenological mode-mixity function to account for coupled fracture modes (I and II).
Main Results:
- The model successfully captures adhesive contact behavior on stretched elastic substrates.
- The energy release rate analysis provides insights into crack initiation and propagation.
- The mode-mixity function effectively represents the interplay between different fracture modes.
Conclusions:
- The developed model offers a more accurate representation of adhesive contact in cell mechanics on stretchable substrates.
- This work advances the understanding of mechanical interactions at the cell-biomaterial interface.
- The findings have implications for designing biomaterials and understanding cellular responses to mechanical stimuli.
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