A Three-Dimensional Shell Model for Layer-by-Layer Study of the Stress and Strain State of Irregular Conical Sandwich Shells

Abstract

A methodology for constructing three-dimensional shell models for the layer-by-layer study of the stress and strain state of irregular sandwich shells, which are increasingly used in practice, is proposed. An original approach is considered for obtaining approximating displacement functions in the finite elements of the core layer, which does not lead to a discontinuity in the generalized displacements on the interfaces with moment skin layers. The development of such models makes it possible to significantly expand the class of problems to be solved and, with the necessary accuracy and degree of detail, for the first time to study the stress and strain state in the general case of irregular sandwich shells in a wide range of variation in the geometric and physical and mechanical characteristics of the layers. The possibilities of the proposed methodology are illustrated by the example of the study of the stress and strain state of conical sandwich shells with rectangular cutouts.