Contact Problems for a Composite Half-Space
The integral equations are derived for three-dimensional contact problems for an elastic half-space consisting of two wedge-shaped layers with sliding support in between. The wedge-shaped layer joined to the layer in contact with a punch is incompressible (rubber-metal conjunction). The outer face of this layer is supposed to be stress-free or subjected to sliding support. To solve auxiliary boundary-value problems for a given normal load the method of Fourier and Kontorovich - Lebedev complex integral transformations is used. These auxiliary problems are finally reduced to systems of Fredholm integral equations of the second kind, solutions of which go into the kernels of the integral equation of the contact problems. For solving the contact problems the Galanov’s method is used.