Azimuthal Shear Wave in an Incompressible Yeoh Hollow Circular Cylinder

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Published: 2023-01-02

Page: 1-8


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


How to Cite

Ogazie, N. I., Effiong, B. J., & Nma, O. C. (2023). Azimuthal Shear Wave in an Incompressible Yeoh Hollow Circular Cylinder. Asian Journal of Pure and Applied Mathematics, 5(1), 1–8. Retrieved from https://globalpresshub.com/index.php/AJPAM/article/view/1721

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