Rough contacting surfaces with elevated contact areas

We consider two elastic half-spaces contacting along multiple contact spots. In order to provide contact, these spots should be somewhat elevated; moreover, they may take the form of "columns" that connect the half-spaces. The effect of this factor on the overall compliances (normal and shear) is examined in 3-D setting, as function of the shape of the "columns". This effect is found to be strong, and it is quite sensitive to the mentioned shape. The extent of coupling between the shape of the "columns" and interactions between them, and of the elastic contrast between the "columns" and the main material are also examined. (C) 2019 Published by Elsevier Ltd.