3d contact problem on interaction between flexible wedge and two punches under friction

The spatial contact problem for the flexible wedge is investigated in the quasi-static formulation when two identical elliptic rigid punches are symmetrically impressed into one face of the wedge under friction. The other wedge face is stress-free. The contact domain is accepted unknown. The motion of the punches perpendicular to the edge of the wedge is considered. In this case the punches can move either towards the edge or from the edge. Using the known Green function for the three-dimensional wedge, the contact problem is reduced to the integral equation with respect to the contact pressure. Galanov’s method is used for solving the integral equation which permits to determine the contact domain and the contact pressure simultaneously. The numerical analysis is made for different values of the friction coefficient, wedge angle, and the distance between the punches.