Modeling Thermal Constriction Resistance of a Sphere – Layered Substrate in Elastic Contact

Develop a thermo-mechanical model for computing the constriction resistance of a sphere in elastic contact with a flat coated by metallic or nonmetallic (elastomer) layer. Developed MATLAB code for computing the radius of contact spot based on Chen and Engel model. Developed MAPLE worksheet for computing approximate radius of contact spot as well as constriction resistance. Developed a simple experimental procedure for obtaining a Young's modulus of Elasticity for silicon rubber for light loads range. The analytical model has been verified by comparing thermal constriction resistance measurements obtained by Fisher for a steel sphere contacting a nickel flat coated by silver layer. Model could be applied for any layer - substrate combination including the nonmetallic layer (for example silicon rubber). The agreement is very good for light loads ( 0 - 200 N). Further work: To perform experiment for steel sphere contacting steel flat coated by silicon rubber.

Mirko Stevanovic and M.M. Yovanovich, 1999, "Modeling Thermal Constriction Resistance of Sphere - Layered Substrate in Elastic Contact", 37th AIAA Aerospace Science Meeting and Exhibit, 11-14 January 1999, Reno Hilton, Reno, Nevada.