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Surface tension regularizes the crack singularity of adhesion.

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Surface tension is crucial for stiff solids, not just soft ones. This study reveals a universal self-similar structure at the edge of adhesive contacts, unifying adhesion laws and contact mechanics.

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Area of Science:

  • Materials Science
  • Solid Mechanics
  • Surface Physics

Background:

  • Adhesive contact mechanics are typically described by the Johnson-Kendall-Roberts (JKR) law for stiff solids.
  • Surface tension's role in adhesion is well-established for soft materials.
  • A gap exists in understanding surface tension effects on the adhesion of stiff solids.

Purpose of the Study:

  • To investigate the role of surface tension in the adhesive contact mechanics of stiff solids.
  • To identify universal behaviors at the edge of adhesive contacts.
  • To reconcile macroscopic adhesion laws with microscopic contact mechanics.

Main Methods:

  • Indentation tests using a rigid sphere on solid surfaces.
  • Analytical solutions derived from a similarity theory.
  • Incorporation of Young's wetting angle as a boundary condition.

Main Results:

  • Surface tension significantly influences stiff solids, contrary to classical assumptions.
  • A universal, self-similar structure is observed at the edge of adhesive contacts.
  • Young's wetting angle regularizes singularities, providing a complete contact description.

Conclusions:

  • Surface tension is a critical factor in the adhesion of both soft and stiff solids.
  • The developed similarity theory offers a unified framework for adhesive contact mechanics.
  • This work bridges the gap between global adhesion theories and local contact behaviors.