# COMPRESSIBLE, HYPERELASTIC, SPINNING TUBES SUBJECTED TO RADIAL PRESSURE

1991-01-01
ERTEPINAR, A
The theory of finite elasticity is used to investigate the behaviour of cylindrical tubes made of compressible, hyperelastic materials and subjected to the simultaneous action of spin and radial tractions on the outer curved surface while the inner curved surface is perfectly bonded to a rigid shaft. The second order quasi-linear ordinary differential equation governing the system is solved numerically by the method of adjoints. The effects of the material compressibility, the second strain invariant dependent behaviour and the spin speed on the response of the tubes are studied by considering several numerical examples.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

# Suggestions

 COMPRESSIBLE, HYPERELASTIC SPINNING TUBES SUBJECTED TO CIRCUMFERENTIAL SHEAR ERTEPINAR, A (Elsevier BV, 1991-01-01) The finite strain behavior of cylindrical tubes, made of a polynomial compressible material and subjected to the simultaneous action of constant spin and uniform external circumferential shear, is investigated using the theory of finite elasticity. The inner surface of the tube is assumed to be perfectly bonded to a rigid shaft. The governing quasi-linear system of two ordinary differential equations is solved using a shooting method. Numerical results are generated to analyze, qualitatively, the effects...
 Circumferentially cracked bimaterial hollow cylinder under mechanical and transient thermal loading Kadıoğlu, Fevzi Suat (Informa UK Limited, 2006-12-01) The analytical solution for the problem of a circumferential inner surface crack in an elastic, infinitely long composite hollow cylinder, made of two concentric perfectly bonded transversely isotropic cylinders is considered. Uniform axial loading and thermal loading in the form of a sudden cooling on the inner boundary are considered. Out of 10 material parameters involved, two bimaterial parameters and three material parameters for each layer upon which the stress intensity factor depends under uniform l...
 Finite anti-plane shear of compressible hyperelastic tubes Erarslanoğlu, G.; Ertepınar, A. (Elsevier BV, 1990-1) Finite, anti-plane shear of a long, hyperelastic, compressible circular cylindrical tube is investigated using the theory of finite elasticity. The highly nonlinear, coupled, ordinary differential equations with variable coefficients governing the problem are solved numerically using the method of adjoints. The effect of the compressibility of the material is studied in several numerical examples.
 Thermal convection in the presence of a vertical magnetic field Guray, E.; Tarman, H. I. (Springer Science and Business Media LLC, 2007-11-01) The interaction between thermal convection and an external uniform magnetic field in the vertical is numerically simulated within a computational domain of a horizontally periodic convective box between upper and lower rigid plates. The numerical technique is based on a spectral element method developed earlier to simulate natural thermal convection. In this work, it is extended to a magnetoconvection problem. Its main features are the use of rescaled Legendre-Lagrangian polynomial interpolants in expanding...
 Numerical simulations of thermal convection under the influence of an inclined magnetic field by using solenoidal bases Yarimpabuc, D.; Tarman, Işık Hakan; Yildirim, C. (2014-11-01) The effect of an inclined homogeneous magnetic field on thermal convection between rigid plates heated from below under the influence of gravity is numerically simulated in a computational domain with periodic horizontal extent. The numerical technique is based on solenoidal (divergence-free) basis functions satisfying the boundary conditions for both the velocity and the induced magnetic field. Thus, the divergence-free conditions for both velocity and magnetic field are satisfied exactly. The expansion ba...
Citation Formats
A. ERTEPINAR, “COMPRESSIBLE, HYPERELASTIC, SPINNING TUBES SUBJECTED TO RADIAL PRESSURE,” INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, pp. 753–759, 1991, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64308. 