Abstract

In this work, a numerical method is developed to study the liquid-mediated adhesion between 3D rough surfaces. The presence of a wetting liquid between two rough surfaces generates a negative pressure inside the liquid film, which in turn induces tensile stresses in the contact region. Opposing these tensile stresses are the compressive stresses generated at solid–solid contact spots. An iterative deterministic contact model based on influence coefficients is employed to solve the equations of elasticity and capillarity simultaneously. Results for tensile (adhesive) force, wetted radius, average gap, and contact area between the rough surfaces are obtained. The results show that sudden changes in tensile force, average gap, and contact area occur with an increase in certain parameters, suggesting an elasto-capillary instability and surface collapse.

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