Azimuthal Shear Wave in an Incompressible Yeoh Hollow Circular Cylinder
Nwagwu Isaac Ogazie
Department of Mathematics, Federal University of Technology, Owerri, Nigeria.
Bassey Julius Effiong *
Department of Mathematics, Federal University of Technology, Owerri, Nigeria.
Obi Chinwe Nma
Department of Mathematics, Federal University of Technology, Owerri, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
The problem of determining the stresses and angular displacement in a hollow cylindrical material under azimuthal shear wave propagation is considered. The cylinder under consideration is made up of Yeoh material. The analysis of the model resulted into a nonlinear second order partial differential equation. Monge’s method was used in solving the nonlinear second order partial differential equation. The method of solution adopted provided a analytic solution for the determination of the angular displacement and stresses any cross section.
Keywords: Angular displacement, shear stresses, deformed radius, displacement gradient, shear strain