Interphase incision on the limit welding of orthotropic plate with elliptical hole and closed elastic rib https://doi.org/10.33108/visnyk_tntu2019.03.026

Abstract

In a generalized plane stressed state, a mixed contact problem for an infinite orthotropic plate
with an elliptical 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 curvilinear 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 structure of the desired functions at the ends of the plot of the junction of the plate and the rib is established.
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.