A generalization of Cattaneo-Mindlin for thin strips
by J. Jäger , Blattwiesenstr. 7, D-76227 Karlsruhe
J. Appl. Mech., 1999, Vol. 66, 1034-1037
Abstract: In this paper, a generalization of the Cattaneo-Mindlin solution is derived for thin bonded layers with arbitrary surfaces. We assume that equal layers are in contact, and show that the normal and tangential stress displacement equations are uncoupled and of the same form. In this case the stick condition for tangential shift is identical with the contact condition in normal direction, and the tangential problem can be reduced to the normal problem. Finally, a recursive algorithm for general load cases is proposed. We believe that this model illustrates typical features of elastic bodies with friction. It can also serve as a model for memory effects, employing the elastic superposition technique.