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Finite Inhomogeneous Radial Expansion (Contraction) and Longitudinal Shearing of an Isotropic Compressible Elastic Circular Cylindrical Shell |
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| Authors: | Bidyapati Kumar Sripati Ranjan Chaudhury |
| Affiliation: | (1) N.I.C., Planning Commission, Computer Centre, Treasury Building (2nd Floor), P.O. – Chinsura, Dist. – Hooghly. Pin, 712101 West Bengal, India;(2) Department of Mathematics, Bejoy Narayana Mahavidyalaya, Itachuma, Hooghly, West Bengal, India |
| Abstract: | We have first obtained that the equations of equilibrium governing the finite radial expansion (contraction) and longitudinal shearing of a circular cylindrical shell become uncoupled for a class of harmonic materials (a class of isotropic homogeneous compressible elastic materials). Next it has been assumed that the dilatation is uniform. Following this the exact solutions of the uncoupled equations of equilibrium have been obtained for a simple harmonic material which is reduced to the Neo-Hookean material for the incompressible case. The deformation is nonhomogeneous in nature. The stresses have been obtained. This revised version was published online in August 2006 with corrections to the Cover Date. |
| Keywords: | finite elasticity inhomogeneous deformation isotropic compressible medium uncoupled equations uniform dilatation. |
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