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Adhesive behavior of two-dimensional power-law graded materials

✍ Scribed by Shaohua Chen; Cong Yan; Aikah Soh

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
635 KB
Volume
46
Category
Article
ISSN
0020-7683

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✦ Synopsis

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 ¼ E 0 ðy=c 0 Þ k ð0 < k < 1Þ, while the Poisson's ratio m remains constant. The results show that, for a given value of ratio R=c 0 , 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=c 0 , the larger the pull-off force is. For Gibson materials (i.e., k ¼ 1 and m ¼ 0:5), closedform 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.

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