Pressure Loaded Structures under Large Deformations

Abstract

Abstract Pressure loads are configuration dependent. The magnitude of the pressure may be considered as a function of the Eulerian or the Lagrangian coordinates respectively. The first (natural) case turns out to be conservative if a certain line integral vanishes; the second (artificial) one is always nonconservative. Basing on the theory of potential operators the condition for the conservativeness of a pressure loading acting on a finitely deformed structure is derived and the corresponding potential and incremental potential are calculated. They are needed for the variational principles of conservative elastic boundary value problems. In the nonconservative case the principle of virtual displacements and its incremental version respectively serve as an adequate description.