Tarsis K. Solving plane contact problems of elasticity by R-functions method on the bases of variational Reissner's prinsiple

Object of research is plane homogeneous and composite bodes with different contact conditions in solving of contact problems of elasticity. Purpose of the work is development and statement of the method of solution of contact problems with the help of the R-function method, Reissner's principle and programming system "POLE" . In the work the R-function method, Ritz's method and computational methods of programming system "POLE" are used. The new structures of solutions for homogeneous bodes with unilateral ideal rigid connections and composite bodes in conditions of ideal and imperfect contact, which exactly satisfied all contact and boundary conditions, are built. The new scheme of iterative method of a searching of unknown contact areas with using of two criterions is proposed. The criterions of reliability and accuracy of solutions are offered and justified. The algorithms and programms for the programming system "POLE", which allow solving of practical problems of contact interaction of bodes,are developed. The solutions of contact problems, which have sciential and practical signification are obtained. Sfhere of use can be of different areas of mechanical engineering, power-engineering industry and building.