General Solutions for the Inelastic Behavior of Pressurized Membranes

Abstract

The small-deflection behavior of inelastic membranes supported along arbitrary contours and subjected to lateral pressure is considered. Hill and Storåkers’ (1980) solution for isotropic power-law hardening membranes is extended to a wide class of anisotropic material response. Applications to circular membranes are given for anisotropic materials characterized by Budiansky’s (1984) general transversely isotropic yield function. Specific results corresponding to the yield functions proposed by Hill (1979) and Bassani (1977) are also presented.