Main Article Content
The research is centred on isotropic, incompressible hollow cylindrical structure that is deforming under pure azimuthal shear. The mathematical formulation of angular displacement of the structure resulted into a non-linear second order ordinary differential equations. The resulting solutions of the boundary value problems were obtained through software analysis of the angular displacement. The effect of stress components and material parameters on the angular displacement of the structure were illustrated and compared.
Hencky H. The elastic behaviour of vulcanized rubber, American society of mechanical engineers New Haven; 1932.
Bekkedahl N. Forms of rubber as indicated by temperature – volume relationship Part of Journal of Research of the Rational Bureau of Standards. 1934;13.
Gent AN. Gent strain energy function, a new constitutive relation for rubber , Rubber Chemistry and Technology. 1996;69(1):59-61.
Jiang X, Ogden RW. Some new solutions for the axial shear of a circular cylindrical tube of compressible elastic material, International Journal of Non-Linear Mechanics. 2000;35:361-369.
Bechir H, Chevalier L, Chaouche M, Boufala K. Hyperelastic constitutive model for rubber-like materials based on the first Seth strain measures invariant, European Journal of Mechanics A/Solids. 2006;25:110–124.
Zhu Y, Luo XY, Ogden RW. Nonlinear axisymmetric deformations of an Elastic Tube under External Pressure; 2009.
Kassianidis F, Ogden RW, Merodio J, Pence TJ. Azimuthal shear of a transversely isotropic elastic solid, Mathematical Mechanics Solid. 2008;13(8):690-724.
Mohamed Dagher, Kostas P Soldatos. On small azimuthal shear deformation of fibre-reinforced cylindrical tubes, Journal of Mechanics of Materials and Structures. 2011;6:1-4.
Merodio J, Ogden RW. Extension, inflation and torsion of a residually stressed circular cylindrical tube, Continuum Mechanics Thermodynamics. 2015;28:157-174.
Darijani H, Behreman M. New polynomial strain energy function; application to rubbery circular cylinders under finite extension and torsion, Journal of Applied Polymer Science. 2015;132.
Robert M, Destrade M, Saccomandi G. Strain energy function for isotropic non-linear elastic incompressible solids with linear finite strain response in shear and torsion, Extreme Mechanics Letters. 2016;9:204–206.
Moniba Shams. Wave-Propagation in an incompressible hollow elastic cylinder with residual stress, Journal of Discrete and Continuous Dynamical System Series. 2020;13(10).