Based on the theory of nonlinear elastodynamics,the dynamical response is investigated for a spherical thin shell composed of an incompressible hyperelastic material under a suddenly applied constant load.The constitutive relation,i.e.,a class of the Rivlin models with polynomial forms,is used to establish the mathematical model of the corresponding problem.A second-order nonlinear ordinary differential equation describing the radially symmetric motion of the spherical thin shell is obtained.Significantly,t...