Limit cycles in dynamic adhesion and friction processes: A discussion

Hongbo Zeng, Matthew Tirrell, Jacob Israelachvili

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

Simple equations exist relating adhesion and friction forces. These apply to simple attachment-detachment processes and steady-state (smooth) sliding conditions. However, in the case of more complex, such as polymer, surfaces both the adhesion and friction can be very complex, irreversible, and nonlinear, exhibiting stringing and tack in the former and stick-slip sliding in the latter. We explore possible relationships between such nonlinear adhesion and friction processes. Based on recent experiments we find that certain types of "limit cycles," relating the (normal) adhesion and (lateral) friction forces, F and F, to the relative velocities, V and V∥, of the surfaces during an attachment-detachment process or stick-slip sliding, bear a very similar resemblance to each other. We briefly discuss the theoretical and practical implications of describing such dynamic processes in terms of limit cycles.

Original languageEnglish (US)
Pages (from-to)933-943
Number of pages11
JournalJournal of Adhesion
Volume82
Issue number9
DOIs
StatePublished - Sep 2006
Externally publishedYes

Keywords

  • Adhesion limit cycle
  • Friction limit cycle
  • Rate and state models

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