On a method of separating the state of stress in shells of negative curvature with asymptotic edges: PMM vol. 39, n≗2, 1975, pp. 333–341

Abstract

The method of separating the state of stress is the following for shells with nonasymptotic edges: the total state of stress of the shell for which all the conditions of applicability of membrane theory are satisfied, is separated into the fundamental state of stress and simple edge effects. The boundary conditions are hence also separated: the tangential conditions are satisfied because of arbitrariness of the membrane theory, and the nontangential conditions because of the simple edge effects. The possibility is shown in this paper of using this method to analyze shells of negative curvature with four asymptotic edges. The theory of the generalized edge effect has been constructed in [I], Here. the formulas of the generalized edge effect are derived by another method for convenience in the subsequent exposition. Boundary conditions are formulated for membrane theory and the generalized edge effect for diverse edge fixings. All the terminology, notation, equations and relations of shell theory are borrowed from [1].