THE AXISYMMETRIC LOADING OF A FLEXIBLE DISC INCLUSION EMBEDDED IN CROSS-ANISOTROPIC LAYER

Abstract

The paper examines the axi-symmetric problem related to a loaded thin flexible disc inclusion embedded in bonded contact with a cross-anisotropic layer. The solution representations governing the cross-anisotropic layer are given in a convenient matrix form. The associated mixed boundary value problem is reduced to two coupled Fredholm integral equations of the second kind, in which the deflection of the disc is expressed by the stresses applied on the disc in an analytical way. The equations are evaluated numerically. Numerical results presented in this paper illustrate the influence of the anisotropy, the relative thickness of the layer and the relative rigidity of the disc on the load-deflection behavior of the disc for a wide variety of material and geometric conditions.