Influence of self-affine roughness on the detachment stress at an elastic-inelastic interface

Abstract

This work concentrates on the influence of roughness on the detachment stress of an elastic body in contact to self-affine rough surfaces. It is shown that the self-affine roughness influences the detachment stress depending on the elastic modulus $E$ and the details of the specific roughness. The roughness influence is more dominant for detachment lengths \ensuremath{\lambda} smaller or comparable to the in-plane roughness correlation length \ensuremath{\xi}, and low roughness exponents $H(<0.5).$ The detachment stress as a function of the correlation length \ensuremath{\xi} shows a maximum for correlation lengths $\ensuremath{\xi}>\ensuremath{\lambda}$ and low roughness exponents $(H<0.5),$ while the correlation length \ensuremath{\xi} where the maximum occurs approaches the size of the detachment length \ensuremath{\lambda} with increasing roughness exponent $H.$