Loss of ellipticity in the combined helical, axial and radial elastic deformations of a fibre-reinforced circular cylindrical tube. (15th June 2015)

• Record Type: Journal Article
• Authors: El Hamdaoui, Mustapha; Merodio, José; Ogden, Ray W.
• Is Part Of: International journal of solids and structures. Volume 63(2015)
• Page Start: 99
• Page End: 108
• Publication Date: 2015-06-15
• Subjects: Finite elastic deformations -- Transverse isotropy -- Loss of ellipticity -- Helical shear; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2015.02.043
• Languages: English
• ISSNs: 0020-7683

Abstract

Highlights: Extension, inflation, torsion of a tube of transversely isotropic material. Pressure, axial load and moment formulas. Admissible directions of transverse isotropy for controllability and universality. Illustrations for a prototype strain-energy function. Abstract: In this paper we consider theoretically the finite deformation of a circular cylindrical tube of a transversely isotropic elastic material, specifically the combined axial stretch, inflation and helical shear deformation, with particular reference to the failure of ellipticity. For a simple form of strain-energy function specific examples involving axial and radial directions of transverse isotropy are then considered, leading to different predictions of the onset of ellipticity failure.