Nonlinear shear wave models are of significant importance in a large number of areas, including engineering and seismology. The study of such wave propagation models has helped in the prediction and exploration of hidden resources in the... more
Nonlinear shear wave models are of significant importance in a large number of areas, including engineering and seismology. The study of such wave propagation models has helped in the prediction and exploration of hidden resources in the Earth. Also, the frequent occurrences of earthquakes and the damage they cause to lives and properties are of more significant concern to the society. Augustus Edward Hough Love studied horizontally polarized shear waves (Love surface waves) in homogeneous elastic media. In the current thesis, after presenting some basic concepts of linear and nonlinear elasticity, we discuss linear Love waves in both isotropic and anisotropic elastic media, and consider extended linear and nonlinear wave propagation models in elastic media, including models of nonlinear Love-type surface waves. A new general partial differential equation model describing the propagation of oneand two-dimensional Love-type shear waves in incompressible hyperelastic materials is deri...
