Analysis of Azimuthal Shear Wave in an Incompressible Hollow Cylindrical Mooney Rivlin Material Using Monge’s Methods

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Published: 2023-04-28

Page: 134-144


Nwagwu Isaac Ogazie *

Department of Mathematics, Federal University of Technology, Owerri, Nigeria.

Bassey Julius Effiong

Department of Mathematics, Federal University of Technology, Owerri, Nigeria.

Panle Augustine Bwan

Department of Mathematics, Federal University of Technology, Owerri, Nigeria.

*Author to whom correspondence should be addressed.


Abstract

The investigation was on analysis of Azimuthal shear wave in an incompressible hollow cylindrical Mooney Rivlin material with nine parameter constants using Monge’s method. The model from the strain energy function was analyzed and reduced to nonlinear second order partial differential equation for the determination of angular displacement and stresses in the cylindrical solid of Mooney-Rivlin material. The method of solution reduced the nonlinear second order partial differential equation into a nonlinear ordinary differential equation and boundary conditions were applied in solving the governing equations in order to eliminate the arbitrary constants. The Angular displacement and stresses were determined.

Keywords: Angular displacement, deformed radius, shear stress, displacement gradient and shear stresses


How to Cite

Ogazie, N. I., Effiong, B. J., & Bwan, P. A. (2023). Analysis of Azimuthal Shear Wave in an Incompressible Hollow Cylindrical Mooney Rivlin Material Using Monge’s Methods. Asian Journal of Pure and Applied Mathematics, 5(1), 134–144. Retrieved from https://globalpresshub.com/index.php/AJPAM/article/view/1803

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