Studies of the propagation of viscoelastic spherical divergent stress waves based on the generalized Maxwell model

The governing equations for viscoelastic spherical divergent stress waves are formulated, and the solutions for spherical stress waves are analytically given in the Laplace domain. Based on the generalized Maxwell model, the propagation coefficient for viscoelastic spherical stress waves is obtained analytically and the characteristics of the attenuation coefficient and the phase velocity are discussed. Meanwhile, the solutions for viscoelastic spherical stress waves are calculated by using the numerical method of the inverse Laplace transform in the case of cavity explosion. The propagating characteristics for strong discontinuous visco-elastic spherical waves and steady-state values caused by the cavity pressure are discussed using theoretical and numerical methods.