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Summary

This study models elastic sphere spreading on surfaces, revealing adhesion hysteresis. The receding contact area and angle are larger than advancing ones, depending on velocity.

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Area of Science:

Physics
Materials Science
Surface Science

Background:

Understanding the mechanical behavior of elastic spheres on surfaces is crucial for various applications.
Adhesion and contact mechanics govern interactions between materials.

Purpose of the Study:

To calculate the spreading of an elastic adhesive sphere on a substrate.
To investigate the role of van der Waals interactions in adhesion phenomena.
To analyze hysteresis in loading and unloading cycles.

Main Methods:

Continuum elasticity theory was employed to model the system.
Van der Waals interactions between solid surfaces were incorporated.
Deformation and contact area were determined self-consistently with applied load.

Main Results:

Hysteresis was observed between loading and unloading paths.
The receding contact angle was found to exceed the advancing contact angle.
Receding contact area was larger than advancing contact area for a given deformation or load.

Conclusions:

The study demonstrates a velocity-dependent, nonequilibrium phenomenon in elastic sphere adhesion.
Results align with experimental observations in adhesion and crack propagation.
The findings provide insights into the mechanics of adhesive contact and surface interactions.

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