The Axisymmetric Contact Problem of an Elastic Layer on a Rigid Base with an Annular Hole

A solution is presented to a doubly mixed boundary-value problem of an elastic layer which is resting on a rigid base with an annular hole and is indented by an annular rigid punch. The problem is reduced to a solution of infinite systems of simultaneous equations by assuming that both the normal displacement in the place of the hole and the contact stress under the punch may be expressed as appropriate series.The effect of the hole and the thickness of a layer on the stress field is discussed, and the disturbances due to a hole are presented in curves calculated numerically.