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Updated: May 5, 2026

Adhesion Frequency Assay for In Situ Kinetics Analysis of Cross-Junctional Molecular Interactions at the Cell-Cell Interface

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Published on: November 2, 2011

Ad Hoc Modeling of Rate-Dependent Adhesion in Indentation Relaxation Testing.

Ivan I Argatov¹, Iakov A Lyashenko¹, Valentin L Popov^1,2

¹Institut für Mechanik, Technische Universität Berlin, 10623 Berlin, Germany.

Materials (Basel, Switzerland)

|August 29, 2024

Summary

This study introduces a new adhesion relaxation test for spherical indentation to measure rate-dependent adhesion. A simple four-parameter model is proposed to relate adhesion work and contact velocity, outperforming existing models.

Keywords:

JKR-type adhesion ad hoc model adhesion relaxation equilibrium interface energy indentation testing minimal model scaling method

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Last Updated: May 5, 2026

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Area of Science:

Materials Science
Physics
Tribology

Background:

Rate-dependent adhesion is a complex phenomenon.
Existing physics-based models for adhesion are difficult to implement practically.
Analytical relations between work of adhesion and contact velocity are often implicit.

Purpose of the Study:

To develop a practical method for estimating rate-dependent adhesion.
To introduce an adhesion relaxation test for spherical indentation.
To propose a new, simpler model for adhesion-velocity relationships.

Main Methods:

Spherical indentation with an adhesion relaxation test.
Nominal point contact analysis.
Stretched exponent approximation for contact radius evolution.
Development of a four-parameter adhesion model.

Main Results:

A novel adhesion relaxation test was successfully implemented.
A four-parameter model was proposed for the work of adhesion and contact front velocity relationship.
The proposed model demonstrated effective fitting performance.

Conclusions:

The adhesion relaxation test provides a practical approach to study rate-dependent adhesion.
The new four-parameter model offers a simpler alternative to existing complex models.
This work advances the understanding and practical application of rate-dependent adhesion in materials.