Elasticity solution is given of the problem of a normal force acting on the
surface of a transversely isotropic half-space whose free surface is coate
d with a thin soft film. The force is directed into the halfspace. The thin
film is modeled as a two-dimensional continuum in the sense of generalized
plane stress. By means of Hankel transform, explicit expressions are deriv
ed for the surface displacements of the composite system. (C) 2000 Publishe
d by Elsevier Science Ltd. All rights reserved.