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Home  >  Transactions ... 2017)

12. Axial Shear Wave Propagation In An Incompressible Cylindrical Solid of a Mooney Rivlin material of order one.BY Nwagwu I.O.Transactions NAMP vol 5, (September and November, 2017), pp 83-86
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Abstract

The problem of axial shear wave propagation in an incompressible cylindrical solid  of a Mooney Rivlin material of order one was considered. The analysis of the model resulted into a linear second order partial differential equation for the determination of the stresses and axial displacement. Monge’s method was used in solving the linear second order partial differential equation. The Monge’s subsidiary equations reduced the linear second order partial differential equation into a linear ordinary separable equation. The method of solution adopted provided a closed form solution for the determination of the axial displacement and stresses at any cross section.
Keyword: Axial displacement, Displacement gradient, Deformed radius, Shear stress and shear strain.



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