부산대학교 도서관

Summary: ``In the present paper we consider the problem of bending of aplate for a curvilinear quadrangular domain with a rectilinear cut. Itis assumed that the external boundary of the domain composed ofsegments (parallel to the abscissa axis) and arcs of one and the samecircumference. The internal boundary is the rectilinear cut (parallelto the $Ox$-axis). The plate is bent by normal moments applied torectilinear segments of the boundary, the arcs of the boundary are freefrom external forces, while the cut edges are simply supported. Theproblem is solved by the methods of conformal mappings and boundaryvalue problems of analytic functions. The sought complex potentialswhich determine the bending of the midsurface of the plate areconstructed effectively (in the analytical form). Estimates are givenof the behavior of these potentials in the neighborhood of the cornerpoints.''