Calculation of stresses initiated by an electric explosion of conductors in a composite thick-walled cylinder

Abstract

The paper presents a dynamic loading analysis of a material carried out by the exploding wire method (EWM). A composite cylinder is chosen as an experimental sample. It is a thick-walled cylinder made of polymethyl methacrylate with an axial bore formed therein, pressed into an aluminium shell. The sample was loaded by applying an electric voltage to a conductor in the form of a copper wire placed inside the axial bore of the sample. An equation of state for an electric explosion of a conductor obtained. Dependence between the pressure in the air channel and the expansion coefficient of the EWM products demonstrated with comparison charts of the experimental and theoretical values. A theoretical model that describes the amplitude characteristic of the radial stresses arising during the loading is constructed, taking into account the boundary and initial conditions. The substantiation of the model accuracy is given by comparing the obtained results with experimental data. The estimation of the circumferential stress at which the aluminium shell breaks directly performed.