Numerical Method of Analyzing Contact Mechanics between a Sphere and a Flat Considering Lennard-Jones Surface Forces of Contacting Asperities and Noncontacting Rough Surfaces

2012 ◽  
Vol 134 (1) ◽  
Author(s):  
Kyosuke Ono
Keyword(s):  
Numerical Method ◽  
Contact Mechanics ◽  
Rough Surfaces ◽  
Present Theory ◽  
Adhesive Contact ◽  
Adhesive Force ◽  
Surface Forces ◽  
Contact Theory ◽  
Magnetic Disk ◽  
Lennard Jones

A new numerical method of analyzing adhesive contact mechanics between a sphere and a flat with sub-nanometer roughness is presented. In contrast to conventional theories, the elastic deformations of mean height surfaces and contacting asperities, and Lennard-Jones (LJ) surface forces of both the contacting asperities and noncontacting rough surfaces including valley areas are taken into account. Calculated contact characteristics of a 2-mm-radius glass slider contacting a magnetic disk with a relatively rough surface and a 30-mm-radius head slider contacting a currently available magnetic disk with lower roughness are shown in comparison with conventional adhesive contact theories. The present theory was found to give a larger adhesive force than the conventional theories and to converge to a smooth sphere-flat contact theory as the roughness height approaches zero.

Numerical Analysis Method of Contact Mechanics Between a Sphere and a Flat Considering Lennard-Jones Surface Forces of Contacting Asperities and All Rough Height Surfaces

2011 ◽  
Author(s):  
Kyosuke Ono
Keyword(s):  
Numerical Analysis ◽  
Contact Mechanics ◽  
Present Theory ◽  
Adhesive Contact ◽  
Surface Forces ◽  
Asperity Contact ◽  
Analysis Method ◽  
Surface Theory ◽  
Numerical Analysis Method ◽  
Lennard Jones

A new numerical analysis method for elastic adhesive contact mechanics between a sphere and a flat with a sub-nanometer roughness is presented. In contrast to conventional theories, the elastic deformations of both contacting asperities and mean height surface and Lennard-Jones (LJ) surface forces of both contacting asperities and all rough surfaces including valley areas are taken into account New adhesive force of contacting asperity is used from asperity contact analysis. Calculated results for head-disk asperity contact with current low roughness are shown in comparison with conventional theories. The relationship among present theory, mean height surface theory and perfectly smooth surface theory is discussed.

Numerical Method of Analyzing Contact Mechanics Between a Sphere and a Flat Considering Lennard-Jones Surface Forces of Contacting Asperities and Mean Height Surfaces

2010 ◽  
Author(s):  
Kyosuke Ono
Keyword(s):  
Contact Mechanics ◽  
Adhesion Force ◽  
Surface Forces ◽  
Elastic Contact ◽  
Analysis Method ◽  
Elastic Deformations ◽  
Magnetic Disk ◽  
Head Slider ◽  
Lennard Jones ◽  
Relaxation Iteration

A numerical analysis method for elastic contact mechanics between a sphere and a flat with a sub-nanometer roughness is presented by taking account of Lennard-Jones (LJ) surface forces. In contrast to conventional theories, the elastic deformations and LJ surface forces of both mean surfaces and contacting asperities are taken into account. Convergent solutions obtained by a simple under-relaxation iteration method are discussed for 2-mm radius glass slider and 20-mm radius head slider contacting with a magnetic disk. It is found that the increase in adhesion force with a decrease in surface roughness can be suppressed by deceasing asperity radius and increasing asperity density.

scholarly journals A new efficient numerical method for contact mechanics of rough surfaces

2012 ◽  
Vol 49 (2) ◽  
pp. 338-343 ◽  
Author(s):  
C. Putignano ◽  
L. Afferrante ◽  
G. Carbone ◽  
G. Demelio
Keyword(s):  
Numerical Method ◽  
Contact Mechanics ◽  
Rough Surfaces

Adhesive Force in Micro- and Nano-System

2007 ◽  
Author(s):  
Ying-Min Zhu ◽  
Jian-Yuan Jia ◽  
Kang-Qi Fan ◽  
Chun-Yue Huang
Keyword(s):  
Numerical Method ◽  
Adhesive Force ◽  
Surface Forces ◽  
Continuous Variation ◽  
Compressive Deformation ◽  
Elastic Bodies ◽  
Contact Distance ◽  
Critical Contact

One of the most important reliability problems in micro- and nano-systems is stiction, the adhesion between micro-devices due to surface forces. Although several different physical theories had been put forward to investigate the adhesion problems in micro- and nano-systems, none of them can give a continuous variation of the adhesive force with the distance (if the micro-devices contact, the distance is the negative compressive deformation) between micro-devices. After reviewing the known physical theories, three combined adhesive models are developed to provide a continuous variation of the adhesive force with the distance. This is done by rectifying the coefficients and definition domains of the adhesive theories available based on the maximal stretch deformation of elastic bodies given by them after a parameter of critical contact distance is introduced to the current adhesive theories. A comparison between a widely used numerical method and the combined adhesive models shows that the combined adhesive models established in this article are valid in investigating the adhesive force in micro- and nano-systems.

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