INDENTATION BY A CIRCULAR RIGID PUNCH OF A TRANSVERSELY ISOTROPIC LAYER ON A RIGID FOUNDATION

We consider an axisymmetric contact problem of a transversely isotropic layer indented by a circular rigid punch, with the elastic layer resting on a rigid foundation. This problem is equivalent to a mixed boundary-value problem in which the displacement is prescribed within the contact region of the punch and surface stresses are zero outside of the contact region. The problem is reduced to an infinite simultaneous equation using the technique of expressing the normal stress under the punch as an appropriate series. Numerical results are obtained with the indication of the effect material anisotropy and layer thickness on the stress fields in comparison with those for the isotropic material.