Shock Waves in Dynamic Cavity Expansion

摘要

High velocity cavitation fields are investigated in the context of large strain J2 plasticitynwith strain hardening and elastic compressibility. The problem setting is that of an inter-nnally pressurized spherical cavity, embedded in an unbounded medium, which growsnspontaneously with constant velocity and pressure. Expansion velocity is expected to bensufficiently high to induce a plastic shock wave, hardly considered in earlier dynamicncavitation studies. Jump conditions across singular spherical surfaces (shock waves) arenfully accounted for and numerical illustrations are provided over a wide range of powernhardening materials. Simple formulae are derived for shock wave characteristics and fornthe asymptotic behavior within near cavity wall boundary layer.