Relationship of coating adhesion and surface fractal dimension

Ghodrati, Sajjad; Mohseni Bozorgi, Mohsen; Gorji Kandi, Saeideh

Relationship of coating adhesion and surface fractal dimension

Authors

¹ Department of Polymer Engineering and Color Technology, Amirkabir University of Technology

² Department of Polymer Engineering and Color Technolog, Amirkabir University of Technology

³ Department of Polymer & Color Engineering, Amirkabir University of Technology

Abstract

Investigating the parameters that influence the adhesion of two surfaces has constantly been of immense importance, especially in surface coating science. Generally, the factor that keeps two surfaces close together and causes adhesion is atomic and molecular forces in the surface region.
However, all of the surfaces in the real world are somehow rough are not smooth. In such surfaces, apparent geometric surface area is different from the actual surface area the place where surface forces act and the magnitude as well as the complexity of the roughness determine the amount of the difference between two surface areas. Determination of the actual surface area of a surface with complex roughness patterns is a very complicated task, which can be performed by means of fractal geometry and the concept of fractal dimension. In the present study, at first surface thermodynamic functions and their functionality of surface roughness were considered. Then, fractals and fractal dimension have been introduced and the relation between surface roughness and fractal dimension in fractal surfaces has been investigated. Finally, direct and indirect methods of fractal dimension calculation have been reviewed from the literature.

Keywords