Abstract:

Dynamical formation and growth of cavity in a sphere composed of incompressible viscoelastic material subjected to uniform temperature field were studied according to the finite deformation dynamics theory. The nonlinear ordinary differential equation describing cavity movement in a sphere was established by using the finite logarithmic strain measure for geometric large deformation and employing the Kelvin-Voigt differential type constitution equation of thermo-visco-elasticity. By numerical computation, growth curves of cavity radius with temperature and the critical temperature were given, dynamical variation curves of cavity radius increasing with time were obtained, and variation rules of cavity radius increasing with the external temperature, the spherical radius, and the material parameters were also discussed.

Key words: thermo-visco-elasticity; nonlinear large deformation; cavity; dynamical formation and growth0