On the film thickness dependence of shear strengths in sliding, boundary-layer friction

The density functional theory calculated pressure-dependent shear strength S of a four-layer slab of KCl on a Fe(1 0 0) substrate is compared to previous calculations for a bilayer slab to gauge the effect of film thickness on the shear properties of the film. It is found that the shear strength varies with pressure as S = S0 + αP, where P is the contact pressure. The resulting calculated values for the four-layer slab are S0〈1 0〉 = 62 ± 15 and S0〈1 1〉 = 65 ± 11 MPa while α〈1 0〉 and α〈1 1〉 are 0.06 ± 0.01. The values are very close to those calculated for the bilayer slab of S0〈1 0〉 = 64 ± 9 and S0〈1 1〉 =69 ± 8 MPa and α〈1 0〉 and α〈1 1〉 of 0.05 ± 0.01, and in reasonable agreement with the experiment values. These results suggest that the thickness of the film does not have a profound effect on the shear properties.