Energy Estimates Relating Different Linear Elastic Models of a Thin Cylindrical Shell II: The Case of Free Boundary
JYRKI PIILA, Juhani Pitkäranta · SIAM Journal on Mathematical Analysis · 1995
Four different linear models describing the elastic deformation of a thin cylindrical shell are analyzed under a given smooth normal pressure distribution. Either a bending-dominated deformation state or a “soft” membrane-dominated deformation state is assumed, and the models to be considered are (1) the standard three-dimensional model, (2) a shell model of Reissner–Mindlin type, (3) the classical shell model of Koiter, Sanders, and Novozhilov, and (4) the asymptotic shell model. Energy estimates relating the models are derived.