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When a solid is dipped inside a liquid, the liquid surface becomes curved near the contact. For some solid–liquid interfaces, the liquid is pulled up along the solid, while for others, the liquid surface is convex or depressed near the solid surface. This phenomenon can be explained using the concept of cohesive and adhesive forces.
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Deterministic normal contact of rough surfaces with adhesion using a surface integral method.

Ali Ghanbarzadeh1, Mostafa Faraji2, Anne Neville1

  • 1Institute of Functional Surface, School of Mechanical Engineering, University of Leeds, Leeds, LS2 9JT, UK.

Proceedings. Mathematical, Physical, and Engineering Sciences
|November 23, 2020
PubMed
Summary
This summary is machine-generated.

This study introduces a new model for calculating adhesive contact mechanics on rough surfaces. It reveals that surface roughness, particularly its RMS gradient and large wavelengths, significantly impacts adhesion, with Ciavarella

Keywords:
Lennard-Jones potentialadhesioncontact mechanicsroughness

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Area of Science:

  • Materials Science
  • Physics
  • Engineering

Background:

  • Adhesion and friction on rough surfaces are critical in diverse fields like geotechnics, nanotechnology, manufacturing, and biomechanics.
  • Predicting contact mechanics under these conditions remains a significant challenge.

Purpose of the Study:

  • To develop a novel deterministic model for calculating contact mechanics of rough surfaces with adhesion.
  • To investigate the influence of surface roughness parameters on adhesive forces.

Main Methods:

  • Utilized an in-house boundary element method (BEM) solver integrated with fast Fourier transform (FFT) for efficient computation.
  • Incorporated full Lennard-Jones potentials and asperity-level surface integration for the adhesive contact model.
  • Validated the model against existing literature.

Main Results:

  • Demonstrated that the root mean square (RMS) gradient of surface roughness can alter adhesive pressures independently of the RMS surface roughness.
  • Evaluated adhesion parameters based on Johnson's modified criteria and Ciavarella's model.
  • Identified Ciavarella's model as providing the most reasonable criteria for adhesion between rough surfaces.

Conclusions:

  • RMS roughness and large wavelength surface features are key parameters governing adhesion between rough surfaces.
  • The developed model provides a more accurate deterministic approach to contact mechanics involving adhesion.
  • Surface topography, beyond simple RMS roughness, plays a crucial role in adhesive interactions.