Determination of the stress-strain state of three-layer shells of revolution with a lightweight filler

Abstract

A large number of studies has been devoted to problems involving calculation of stress and displacment fields in three-layer shells [i-8]. This emphasis is due in part to the increasing use of such shells as structural elements and in part to the fact that such shells are good illustrations of the characteristic features of various shell models. Since three-layer shells are characterized by a considerably larger number of mechanical and geometric parameters than one-layer shells, the different theories that have been developed for them differ significantly from each other. The main difference here is allowance for the work of the middle layer (filler). Systems of hypothesis for the layers as a whole or for each layer individually are used, the exact system depending on the parameters of the filler [2, 6]. Hypotheses for each layer are used in the case of shells with a lightweight filler when the layers differ significantly from one another.