Mechanics of adhesive contact on a power-law graded elastic half-space

Shaohua Chen*, Cong Yan, Peng Zhang, Huajian Gao

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

96 Citations (Scopus)

Abstract

We consider adhesive contact between a rigid sphere of radius R and a graded elastic half-space with Young's modulus varying with depth according to a power law E=E0(z/c0)k (0<k<1) while Poisson's ratio ν remaining a constant. Closed-form analytical solutions are established for the critical force, the critical radius of contact area and the critical interfacial stress at pull-off. We highlight that the pull-off force has a simple solution of Pcr=-(k+3)πRΔγ/2 where Δγ is the work of adhesion and make further discussions with respect to three interesting limits: the classical JKR solution when k=0, the Gibson solid when k→1 and ν=0.5, and the strength limit in which the interfacial stress reaches the theoretical strength of adhesion at pull-off.

Original languageEnglish
Pages (from-to)1437-1448
Number of pages12
JournalJournal of the Mechanics and Physics of Solids
Volume57
Issue number9
DOIs
Publication statusPublished - Sept 2009
Externally publishedYes

Keywords

  • Contact mechanics
  • Elastic graded materials
  • Gibson material
  • JKR model
  • Pull-off force

Fingerprint

Dive into the research topics of 'Mechanics of adhesive contact on a power-law graded elastic half-space'. Together they form a unique fingerprint.

Cite this

Chen, S., Yan, C., Zhang, P., & Gao, H. (2009). Mechanics of adhesive contact on a power-law graded elastic half-space. Journal of the Mechanics and Physics of Solids, 57(9), 1437-1448. https://doi.org/10.1016/j.jmps.2009.06.006