Abstract:

The nonlinear mathematical model of describing cavity movement in a composite sphere was established via employing KelvinVoigt differential type constitution equations of thermoviscoelasticity with the aid of the dynamical theory of finite deformation. Variation curves of the geometric and material parameter vs the critical temperature were obtained, dynamical variation curves of cavity radius increasing with time were given, and variation rules of cavity radius dynamical increasing with the external temperature, the geometric dimensions, and the material parameters were also discussed.

Key words: thermoviscoelastic plastic composite sphere, critical temperature, finite deformation dynamics, thermal cavitation, dynamical formation and growth