INTERPHASE INCISION ON THE LIMIT WELDING OF ISOTHOTROPIC PLATE WITH CURVILINEAR HOLE AND CLOSED ELASTIC RIB

Abstract

In a generalized plane stressed state, a mixed contact problem for an infinite izotropic plate with an curvilinear hole, whose contour is amplified by a closed elastic rib, is considered in the presence of a symmetric interfacial section of a small width at the boundary of their weld, the shores of which in the process of deformation are not in contact. By simulating the reinforcing rib with a curved rod of a stable rectangular cross-section, and a welding seam – a elastic line of constant rigidity on tension (compression), a system of singular integral differential equations was constructed to determine the contact forces on the surfaces of the separation of the plate materials, the welding seam and the reinforcing rib, as well as the internal forces factors in the seam and the rib. In order to find the initial parameters in a statically uncertain closed rib, the conditions for unambiguous displacement of the points of its axis and the angles of rotation of the cross sections are used. The approximate solution of the problem was constructed by the method of mechanical quadratures and collocation, which investigated the effect of the stiffness of the weld seam on the distribution of the components of the stressed state along the contour of the hole in the plate in the welding joint and the reinforcing rib.