Inertia-induced radial confinement in an elastic tubular specimen subjected to axial strain acceleration

This paper extends the study in [10] on the stress state in an elastic solid specimen subjected to axial strain acceleration to a tubular cylindrical specimen. A perturbation solution is presented, based on which, it is found that the radial confinement stress induced by the compressive axial strain acceleration decreases with the increase of the inner radius of the tubular specimen. It is shown that the radial stress distribution predicted by perturbation solution can be used to estimate the distribution of the maximum radial stress in tubular specimen. The solutions presented in this paper can be used to estimate the radial confinement stress and additional axial stress due to the existence of axial strain acceleration in split Hopkinson pressure bar tests of brittle materials using tubular specimens.