Finite amplitude elastic shear wave propagation

The shock pattern for axially symmetric shear wave propagation in a hyperelastic incompressible solid

“…As well, for a continuously rising boundary value, all field variables are continuous across the leading wavefront, and a wavefront expansion can be calculated. As shown by Tait et al (1989), an axially symmetric shear wave never breaks at the wavefront. Consequently, a wavefront analysis provides no information concerning the breaking of a wave.…”

“…The propagation of nonlinear axially symmetric shear waves from a cylindrical cavity was first studied by Haddow et al (1987a,b) and Tait et al (1989). These papers were primarily concerned with obtaining numerical solutions.…”