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General solution to two-dimensional nonslipping JKR model with a pulling force in an arbitrary direction.

Shaohua Chen1, Tzuchiang Wang

  • 1Biomechanics Group, LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, People's Republic of China. chenshaohua72@hotmail.com

Journal of Colloid and Interface Science
|July 6, 2006
PubMed
Summary

This study explores adhesive contact between an elastic cylinder and half-space using a generalized JKR model. It provides explicit relations to determine pull-off force and contact width under arbitrary pulling directions.

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Area of Science:

  • Solid Mechanics
  • Adhesion Science
  • Materials Science

Background:

  • Investigating adhesive contact mechanics is crucial for understanding material failure and performance.
  • The Johnson-Kendall-Roberts (JKR) model is a foundational theory for elastic contact with adhesion.

Purpose of the Study:

  • To generalize the JKR model for an elastic cylinder adhesively contacting an elastic half-space under an arbitrary pulling force.
  • To analyze the pull-off process and determine key parameters influencing it.

Main Methods:

  • A generalized JKR model was developed assuming perfect bonding in the contact region.
  • The dynamic Griffith energy balance criterion was employed to predict contact area changes during pull-off.
  • Numerical calculations were performed to obtain and analyze the full coupled solution, including oscillatory singularities.

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Main Results:

  • The effect of Dundurs' parameter on the pull-off process was analyzed.
  • Conditions for approximating the general solution with a non-oscillatory one were identified (e.g., larger pulling angle, smaller a/R, larger Deltagamma/E*R).
  • Explicit relations were derived to determine the pull-off force and contact half-width based on pulling force and angle.

Conclusions:

  • The generalized JKR model provides a comprehensive framework for analyzing adhesive cylinder-half space contact.
  • The findings offer practical solutions for predicting adhesive contact behavior and pull-off characteristics.
  • The results are applicable to experimental and engineering applications involving adhesive contacts.