On the contact interaction between two rectangular plates

A mathematical model of contact interaction between two plates is presented, considering certain types of nonlinearity of each of the plates. Stress–strain state (SSS) of the interacting structural members is analyzed by the method of variational iterations, and the theorem of convergence of this method is provided. An iterative procedure for solving contact problems is developed and its convergence is also proved. Physical nonlinearity is considered by means of the method of variable parameters of elasticity. The SSS of a two-layer system of rectangular plates, depending on a type of boundary conditions as well as distances between plates, is investigated and supplemented with stress–strain curves σ i ( i ) ( e i ( i ) ) for each of the plates.