Interface separation for an elastic layer loaded by a rigid stamp

• Published in: International journal of engineering science Vol. 16; no. 9; pp. 669 - 679
• Main Authors: Civelek, M.B., Erdogan, F., Cakiroglu, A.O.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 1978
• ISSN: 0020-7225; 1879-2197
• DOI: 10.1016/0020-7225(78)90044-7

The frictionless contact problem for an infinite elastic layer lying on a horizontal rigid plane is considered. The external load is applied to the layer through a rigid stamp. It is assumed that the layer is subjected to uniform vertical body forces due to the effect of gravity. For values of the resultant compressive force P acting on the stamp vertically which are less than a critical value P cr the continuous contact along the layer-substrate interface is maintained. However, if tensile tractions are not allowed on the interface, for P > P cr the layer separates from the interface along a certain finite region. The problem is formulated and solved for both cases and numerical results for P cr , separation initiation distance, contact stresses, distances determining the separation area, and the vertical displacement in the separation zone are given.