AN APPROXIMATE EXPLICIT SOLUTION FOR THE LOCAL TORSION OF AN ELASTIC LAYER

A rigid disk adheres perfectly to the upper surface of an elastic laye r fixed to an undeformable support. A rotation is applied to the disk around its axis. The resulting mixed boundary value problem is describ ed by a Fredholm integral equation of the second kind. Under the assum ption that the ratio of layer thickness to disk radius is not exceedin gly small, an approximate explicit solution of this problem is given.