A method of studying the nature of the stress-strain condition of thin shell structures is proposed in the paper. The proposed method takes into account the interaction (in a physical model) in between ground environment and thin shell with filler. The method is one of the steps in creating a more accurate mathematical model of thin shell structures interacting with infill and foundation.
Thin shell structures with infill are one of the most rational types of construction designs. They are used in hydraulic, industrial and civil engineering. Now, such structures are calculated by means of the computer programs based on a finite element method (FEM), with introduction of a flock of the assumptions concerning conditions of interaction between a wall of a shell and the infill, and also their joint activity with foundation soil. Because of insufficiently studied interaction between these two elements of a structure, special constructive provisions (such as shelves, ribs, etc.) are foreseen in the design in order to exclude inadmissible strains that complicate the process of manufacture and mounting of structures narrowing down area of their application. In this connection, it is a topical task to study behavior of the mode of deformation of the shell structures with the infill taking into consideration specificity of interaction between a thin shell and the infill, and between a thin shell and environment of the basis. Since 1930, theoretical studies of the shell structures activity aimed at building of a mathematical apparatus describing interaction between a shell and the infill were carried out by such scientists as V.Z. Vlasov, A.L. Goldenvejzer, N.A. Kilchevsky, A.I. Lure, S.P. Timoshenko, B.N. Zhemochkin and others. Each of them has grounded his own development trend of a shell theory (Vlasov, 1962; Zhemochkin, 1951).