Resulting Contact Stresses Research Articles

Effect of coating layer for spheres under Hertzian contact

A model is constructed to analyze the effects of layer hardness and thickness upon contact stresses for the coated elastic sphere under normal loading. It is assumed that the layer is perfectly bonded to the elastic substrate and the radius of contact is very small compared to the radius of indenter. By following a linear theory of elasticity, Fredholm integral equation is developed and it is solved numerically. The resulting contact stresses are calculated at the layer surface as well as the layer-substrate interface. Also, the second invariant of the deviatoric stress tensor,\(\sqrt {J_2 } \) are calculated for various layer substrate combinations and for several layer thickness.