Axisymmetric deformation of an elastic plate resting on a rigid support having a circular hole

We study the axisymmetric deformation of an elastic layer overlaid on a rigid foundation with a circular hole. A uniform stress field is applied on the bottom surface of the layer. The mixed boundaryvalue problem is reduced to dual integral equations. Instead of using the traditional approach consisting in solving the corresponding Fredholm integral equation, we get an infinite system of algebraic equations by choosing the modified Kobayashi-Tranter development in series of Bessel functions. The expression of the stress intensity factor at the edge of the hole is given analytically. Some graphs of physical interest are displayed for different cases of the thickness of the layer.