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Large bending deformations of pressurized curved tubes
Arch. Mech. 63 (5-6), 507-516, 2011
Keywords: membrane; curved tube; pure bending; large deformation; pressure
Abstract
In this paper, the problem of large pure bending deformations of membrane is considered. The membrane is a sector of torus with a closed cross-section. This membrane is called a curved tube for short. We consider the homogenous, incompressible, isotropic and hyperelastic material. The external load is a constant pressure and bending couples acting at the edges. The equilibrium equations reduce to ordinary differential equations. As an example, the membrane with a constant thickness and with a circular cross-section is investigated.