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The Johnson--Kendall--Roberts model of frictionless adhesive contact isextended to the case of a thin transversely isotropic elastic layer bonded to arigid base. The leading-order asymptotic models are obtained for bothcompressible and incompressible elastic layers. The boundary conditions for thecontact pressure approximation on the contour of the contact area have beenderived from the boundary-layer solutions, which satisfy the condition that thestress intensity factor of the contact pressure density should have the samevalue all round the contact area boundary. In the incompressible case, aperturbation solution is obtained for a slightly perturbed circular contactarea.

Asymptotic modeling of the JKR adhesion contact for a thin elastic layer