Determination of Stresses and Displacement in an Axial Shear Wave Propagation in an Incompressible Yeoh Hollow Circular Cylindrical Material
Nwagwu Isaac Ogazie *
Department of Mathematics, Federal University of Technology, Owerri, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
The investigation was done on the deformation of an Axial shear wave propagation in an incompressible hollow cylindrical yeoh material. The analysis of the model resulted to a second order partial differential equation for the determination of axial displacement and stresses in the cylindrical material. The second order nonlinear partial differential equation that resulted was reduced to nonlinear ordinary differential equation since incompressible material does not always depend on time. The ordinary differential equation was solved and boundary condition was applied. Closed solution for the axial displacement and stresses were determined.
Keywords: Angular displacement, deformed radius, shear strain, displacement gradient and shear stresses