2012 Volume 6 Issue 5 Pages 383-396
An analysis of dynamic behavior is carried out in the case when dynamic load with central symmetry is applied on the inner surface of the cavity with central symmetry of a thick-walled elastic-plastic-viscoplastic sphere. Formulas are derived of the propagation speeds of the elastic-plastic-viscoplastic spherical waves. The theoretical formulas are analytically proved to be strain rate and stress rate dependent. Ordinary differential equations among physical quantities are derived along characteristic curves. The propagation theory of spherical wave based on the elastic-plastic-viscoplastic constitutive equation is shown to contain that based on the elastic-plastic constitutive equation. Calculated examples are shown on the basis of the elastic-plastic-viscoplastic theory. A comparison is done of calculated results based on the elastic-plastic-viscoplastic theory with those based on the elastic-plastic theory.
