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Adhesive contact between a rigid spherical indenter and an elastic multi-layer coated substrate
Gheorghe Stan1, George G Adams2
1Material Measurement Laboratory, National Institute of Standards and Technology, Gaithersburg, MA 20899, USA; School of Engineering and Applied Science, George Washington University, Washington, DC 20052, USA.
Summary
This study models adhesive contact on multi-layer materials using integral transforms. It provides a method to predict contact behavior and force-distance responses for coated surfaces.
Area of Science:
- Materials Science
- Solid Mechanics
- Adhesion Science
Background:
- Investigating adhesive contact mechanics is crucial for understanding material behavior under load.
- Multi-layer coated surfaces present complex responses due to interfaces and varying material properties.
Purpose of the Study:
- To develop a computational method for analyzing frictionless, adhesive contact on elastic multi-layer coated half-spaces.
- To model Maugis-type adhesion for broad applicability across different adhesion regimes.
Main Methods:
- Utilized an integral transform formulation and a transfer matrix method to simplify stress-strain equations.
- Reduced the system to two coupled integral equations solved via a numerical collocation technique.
Main Results:
- Obtained solutions for the load dependencies of contact radius and indentation depth.
- Analyzed results for various adhesion parameters and layer compositions.
Conclusions:
- The developed method accurately predicts the force-distance response of adhesive contacts on multi-layer coated surfaces.
- This approach is applicable to various inhomogeneous half-spaces that can be modeled as multi-layer systems.

