2023 Volume 18 Issue 3 Pages 97-102
The surface interaction stress distributions (pressure and shear stress) and forces (normal and shear force) between a sphere and a half-space with a one-dimensional periodic material distribution are calculated numerically. The interaction is based on the Lennard-Jones (LJ) potential and the periodic material distribution is expressed as a Fourier series. With a minimum surface distance of 0.2 nm, size effects of the spherical radius on the interaction stresses and forces are quantitively calculated and discussed. The stress distributions show strong correlations with spherical radius and material distribution of the half-space. The interaction forces were calculated by integrating the interaction stresses acting on the spherical surface. They were calculated at every position in the half-space with the one-dimensional periodic material distribution. We reveal the dependence of the spherical radius on the interaction forces. Under the conditions of this study, the normal force increases linearly, whereas the shear force exhibits a local minimum and increases with spherical radius.
