An analytical solution for an inflated orthotropic membrane tube with an arbitrarily oriented orthotropy basis

•Inflation of a cylindrical membrane tube made of an orthotropic material.•The orthotropy directions are oriented at an arbitrary angle with respect to the tube axis.•Finite deformations, thus finite rotations, of the tube.•Three nonlinear equations are obtained for the final radius, length and rota...

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Bibliographic Details
Published in:Engineering structures 2013-11, Vol.56, p.1080-1091
Main Authors: Nguyen, Quang Tung, Thomas, Jean-Christophe, Le van, Anh
Format: Article
Language:English
Subjects:
Applied sciences
Buildings. Public works
Computation methods. Tables. Charts
Cross sections
Deformation
Engineering Sciences
Exact sciences and technology
Internal pressure
Materials
Mathematical analysis
Mathematical models
Mechanics
Membranes
Orthotropic elasticity
Orthotropic membrane tube
Orthotropy
Pressurized tube
Structural analysis. Stresses
Tubes
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Summary:•Inflation of a cylindrical membrane tube made of an orthotropic material.•The orthotropy directions are oriented at an arbitrary angle with respect to the tube axis.•Finite deformations, thus finite rotations, of the tube.•Three nonlinear equations are obtained for the final radius, length and rotation. In this paper, an analytical solution is proposed for a pressurized cylindrical tube made of an orthotropic membrane, with the orthotropy directions oriented at an arbitrary angle, not necessarily parallel to the tube axis. The formulation is made in the framework of finite deformations and results in a system of three non-linear equations, giving the final radius, length and rotation of the cross-sections of the tube, in the deformed configuration. The set of equations is solved for balanced and unbalanced materials, with various internal pressures and orientations of the membrane. The numerical results obtained are shown to agree very well with those of an independent finite element code.
ISSN:0141-0296
1873-7323
DOI:10.1016/j.engstruct.2013.06.012