Finite amplitude spherically symmetric wave propagation in a prestressed hyperelastic shell

Spherically symmetric _nite amplitude wave propagation in a prestressed compressible hyperelastic spheri! cal shell is considered[ The prestress results from quasi!static application of internal pressure and a numerical solution for this elastostatic problem is obtained _rst[ Dynamic change of the internal pressure results in the propagation of a spherically symmetric wave[ A Godunov type _nite di}erence scheme is proposed for the solution of the wave propagation problem and numerical results\ which are valid until the _rst re~ectionare presented for a particular isotropic strain energy function and for the special cases of sudden removal and sudden increase of the internal pressure