Forced vibration of a prestretched two-layer slab on a rigid foundation

Abstract

Within the framework of a piecewise homogeneous body model, with the use of the three-dimensional linearized theory of elastic waves in initially stressed bodies, the forced vibration of a prestretched two-layer slab resting on a rigid, foundation is studied. To the tipper plane of the slab, a harmonic point, force is applied. It is assumed that the layer materials are incompressible, and their elastic properties are characterized by Treloar's potential. Numerical results are presented for the case where the material stiffness of the lower layer is greater than that of the upper one. The influence of prestretching the layers on the frequency dependences of the normal stresses operating on the inter face between the layers and between the slab and the rigid foundation are analyzed.