On the parametric model of loose bonding of elastic half spaces

Abstract

In this paper, a unified approach of the possible bondings between two elastic half spaces is studied. Assuming that two elastic half spaces are separated by a Newtonion viscous liquid layer of thickness H, and of shear viscosity coefficient η, the condition for the existence of interfacial waves propagating along the layer is derived. This condition is separately examined in the three possible limits of η/H when H→0: (1) η is finite or tends to zero such that η/H→∞; (2) η tends to zero such that η/H→0; and (3) η tends to zero such that η/H≠0 finite. It is established that the case (1) corresponds to welded contact of solid half space studied by Stoneley and cases (2) and (3) correspond, respectively, to smooth and loosely bonded interface of solid half spaces. This theory established that η/H can be used under the above-stated limits as a measure of bonding at the interface, hence its inverse as a measure of smoothness. Subject Classification: [43]35.24; [43]20.15.