A note on JKR and DMT theories of contact on a transversely isotropic half-space

In this paper the adhesive contact problem for transversely isotropic materials is discussed. A spherical contact on transversely isotropic, adhesive half-space is studied. Solving an equivalent external circular crack problem in a transversely isotropic body, the modified JKR and DMT theories are developed. The results show that the modified JKR and DMT contact theories for transversely isotropic materials have same form as JKR and DMT expressions for isotropic materials, except for the elastic constant K in the formula, which has a different expression for different materials