Adhesive behavior of two-dimensional power-law graded materials

Shaohua Chen, Cong Yan, Aikah Soh

Research output: Contribution to journalArticleResearchpeer-review

25 Citations (Scopus)


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 languageEnglish
Pages (from-to)3398-3404
Number of pages7
JournalInternational Journal of Solids and Structures
Issue number18-19
Publication statusPublished - Sept 2009
Externally publishedYes


  • Adhesion
  • Contact mechanics
  • Elastic graded materials
  • JKR model

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