AN AXISYMMETRICAL CONTACT PROBLEM OF AN ELASTIC LAYER ON A RIGID BASE WITH A CYLINDRICAL HOLE

A solution is presented to a doubly mixed boundary-value problem of an elastic layer on a rigid base weakened by a cylindrical hole coaxial with a circular punch. The punch problem is reduced to the infinite system of simultaneous equations in which both the normal displacement on the lower face of the layer and the contact stress under the punch are expressed as appropriate series. Numerical results are obtained for the distribution of contact stress under the punch, the normal displacement on both surfaces of the layer and the total load applied to the punch. The effect of the presence of the hole on the stress field is also discussed.