Solution for the Dynamic Elastically Compressible Power-Law Strain Hardening Cylindrical Cavity-Expansion Problem

Abstract A closed form analytical solution for both the quasi-static or dynamic strain hardening cylindrical cavity-expansion (CCE) problems requires plastic region to be incompressible. This is due fact that in cases a hydrostatic stress state must explicitly included function, making an intractable. Additionally, problem elastic compressible avoid logarithmic singularity at infinity. An alterative formulation use finite element method (FEM). With FEM weak formulation, solutions radial cavity surface and elastic–plastic interface velocity as functions of can obtained when regions are elastically compressible. In this study, comparison made using results from (strong formulations), FE simulations perfectly CCE problems. It concluded with increasing velocities, less resistive than corresponding incompressible region. it shown asymptotes bulk wave speed completely solutions. Furthermore, remain valid velocities beyond critical associated closed-form solution.