Home – Home – Jornals – Journal of Applied Mechanics and Technical Physics 2025 number 3

This paper investigates a three-dimensional normal contact problem involving an elastic wedge with one traction-free face and an infinite periodic straight-line system of rigid indenters arranged along the wedge edge (dihedral angle). The system of indenters induces infinite normal displacements on the wedge face (a special case being the half-space). To regularize the divergent kernel of the integral equation governing the contact pressures, an additional periodic system of normal forces is introduced outside the contact region. This system is aligned with the array of indenters and shares the same period. The forces in the regularizing array are equal in magnitude and directed opposite to those applied by the indenters. Two regularization cases are considered: one where the regularizing force chain is applied off the wedge edge (first case), and another where it acts directly on the edge (second case). To solve the regularized integral equation, the Galanov numerical method is employed, which simultaneously determines both the contact area and the contact pressure distribution.