Modeling of dynamic expansion of thick‐walled cylinder under high strain rate loading with strain rate sensitivity analysis

Abstract

This paper presents an analysis of the dynamic behavior of thick-walled cylinder using Levy-Mises flow rule in the assumption of a non-linear strain rate hardening behavior under high strain rate loading. The theoretical model to be developed in this work applies indirect use of dynamic strength of material characterized by a non-linear relation and instant boundary condition based on Jones-Wilkins-Lee equation of state to establish differential equation for radial expansion velocity. Detailed discussion will be given with emphasis on the main aspects of the cylinder behaviour, i.e. radial displacement, internal pressure, strain rate, flow stress, radial and tangential stress and the influence of different material rate sensitive exponent.Results show a good agreement with the analytical solutions proposed here.