Authors: Baljeet Singh
Addresses: Department of Mathematics, Post Graduate Government College, Sector 11, Chandigarh – 160011, India
Abstract: In this paper, the equations of motion for an incompressible rotating orthotropic elastic solid are solved in two-dimension. The velocity equation of the homogeneous plane wave and the secular equation for the Rayleigh surface wave are obtained. The non-dimensional speeds of the homogeneous plane wave and the Rayleigh surface wave are computed numerically for different values of a non-dimensional elastic constant and rotation parameter. These speeds are also shown graphically to observe the effects of the rotation and anisotropy parameters.
Keywords: orthotropic elastic solids; incompressibility; rotation; plane waves; surface waves; wave propagation; equations of motion; incompressible solids; rotating solids; anisotropy.
International Journal of Theoretical and Applied Multiscale Mechanics, 2013 Vol.2 No.4, pp.298 - 310
Received: 09 Jul 2012
Accepted: 23 May 2013
Published online: 31 May 2014 *