Abstract
In this paper, we investigate the adhesive contact between a rigid cylinder of radius R and a graded elastic half-space with a Young's modulus varying with depth according to a power-law, E = E0 (y / c0)k (0 < k < 1), while the Poisson's ratio ν remains constant. The results show that, for a given value of ratio R / c0, a critical value of k exists at which the pull-off force attains a maximum; for a fixed value of k, the larger the ratio R / c0, the larger the pull-off force is. For Gibson materials (i.e., k = 1 and ν = 0.5), closed-form analytical solutions can be obtained for the critical contact half-width at pull-off and pull-off force. We further discuss the perfect stick case with both externally normal and tangential loads.
Original language | English |
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Pages (from-to) | 3398-3404 |
Number of pages | 7 |
Journal | International Journal of Solids and Structures |
Volume | 46 |
Issue number | 18-19 |
DOIs | |
Publication status | Published - Sept 2009 |
Externally published | Yes |
Keywords
- Adhesion
- Contact mechanics
- Elastic graded materials
- JKR model