caa a22 4500 605522111 CHVBK 20210128100743.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10958-015-2265-0 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2265-0 Contact of Elastic Bodies with Nonlinear Winkler Surface Layers [Elektronische Daten] [R. Martynyak, I. Prokopyshyn, I. Prokopyshyn] We present equivalent variational formulations of the problem of unilateral contact of elastic bodies with nonlinear Winkler surface layers in the form of a nonquadratic variational inequality and a nonlinear variational equation. The existence and uniqueness of solutions of these variational problems are studied. To solve the nonlinear variational equation corresponding to the original contact problem, we propose a class of parallel iterative domain decomposition methods. In each step of these methods, it is necessary to simultaneously solve the linear variational equations for separate bodies equivalent (in a weak sense) to the problems of elasticity with the Robin boundary conditions in possible contact zones. The numerical investigation of the efficiency of proposed methods is carried out with the use of finite-element approximations. Springer Science+Business Media New York, 2015 Martynyak R. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut Prokopyshyn I. Franko Lviv National University, Lviv, Ukraine aut Prokopyshyn I. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/4(2015-03-01), 535-553 1072-3374 205:4<535 2015 205 10958 https://doi.org/10.1007/s10958-015-2265-0 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2265-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Martynyak R. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut NATIONALLICENCE 700 1- Prokopyshyn I. Franko Lviv National University, Lviv, Ukraine aut NATIONALLICENCE 700 1- Prokopyshyn I. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/4(2015-03-01), 535-553 1072-3374 205:4<535 2015 205 10958