TY - GEN

T1 - A microcontact model developed for asperity heights with a variable profile fractal dimension, a surface fractal dimension, topothesy, and non-Gaussian distribution

AU - Liou, Jeng Luen

AU - Lin, Jen-Fin

PY - 2009/10/16

Y1 - 2009/10/16

N2 - The cross sections formed by the contact asperities of two rough surfaces at an interference are island-shaped, rather than having the commonly assumed circular contour. These island- shaped contact surface contours show fractal behavior with a profile fractal dimension Ds, The surface fractal dimension for the asperity heights is defined as Ds and the topothesy is defined as G In the study of Mandelbrot. the relationship between D s and Ds was given as D= Ds+1 if these two fractal dimensions are obtained before contact deformation. In the present study, D, G, and Ds are considered to be varying with the mean separation (or the interference at the rough surface) between two contact surfaces. The D-Ds relationships for the contacts at the elastic, elastoplastic, and fully plastic deformations are derived and the inceptions of the elastoplastic deformation regime and the fully plastic deformation regime are redefined using the equality of two expressions established in two different ways for the number of contact spots (N).

AB - The cross sections formed by the contact asperities of two rough surfaces at an interference are island-shaped, rather than having the commonly assumed circular contour. These island- shaped contact surface contours show fractal behavior with a profile fractal dimension Ds, The surface fractal dimension for the asperity heights is defined as Ds and the topothesy is defined as G In the study of Mandelbrot. the relationship between D s and Ds was given as D= Ds+1 if these two fractal dimensions are obtained before contact deformation. In the present study, D, G, and Ds are considered to be varying with the mean separation (or the interference at the rough surface) between two contact surfaces. The D-Ds relationships for the contacts at the elastic, elastoplastic, and fully plastic deformations are derived and the inceptions of the elastoplastic deformation regime and the fully plastic deformation regime are redefined using the equality of two expressions established in two different ways for the number of contact spots (N).

UR - http://www.scopus.com/inward/record.url?scp=70349862270&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70349862270&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:70349862270

SN - 9780791843369

T3 - 2008 Proceedings of the STLE/ASME International Joint Tribology Conference, IJTC 2008

SP - 549

EP - 551

BT - 2008 Proceedings of the STLE/ASME International Joint Tribology Conference, IJTC 2008

T2 - 2008 STLE/ASME International Joint Tribology Conference, IJTC 2008

Y2 - 20 October 2008 through 22 October 2008

ER -