Stress waves generated in a Rayleigh-Love rod due to impacts

The paper studied the stress wave generation and propagation in a semi-infinite Rayleigh-Love rod due to impact. Three problems have been solved analytically, namely: the stress wave propagations in the rod with prescribed stress or velocity boundary conditions, the stress wave generated in the rod by the impact of an identical rod with finite length, and the stress waves generated by the impact of a rigid solid. Explicit analytical solutions were obtained for these problems. The solutions agree well with numerical simulations. The hyper-viscoelasticity property of a Rayleigh-Love rod is highlighted. The dispersive features of stress wave generation and propagation are exhibited through examples.