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

In various fields of engineering, such structural elements are widely used that, from the point of view of their strength calculation, can be referred to thin shells (tanks, reservoirs, cylinders, etc.). When calculating thin-walled shells, a number of hypotheses are adopted to simplify the solution of the problem. The problem is most simply solved within the framework of the momentless theory of shells, according to which only the force normal to the section (the membrane force) is different from zero, and all moments and transverse forces are equal to zero. The paper presents an analysis of dynamic loading of the material carried out by the method of electric explosion of conductors (EEC). A composite cylinder, which is a thick-walled cylinder made of polymethylmethacrylate with an axial hole pressed into an aluminum shell, was chosen as an experimental sample. The sample is loaded by applying an electric voltage to a conductor in the form of a copper wire placed inside the axial opening of the sample. The equation of state at electric explosion of the conductor is obtained; experimental and calculated graphs of dependence of pressure in the air channel on the expansion coefficient of EEC products are constructed. A theoretical model describing the change in the radial stresses arising in the process of loading with regard for the boundary and initial conditions is built. The accuracy of the built model is justified by comparing the obtained results with the experimental data. The circumferential stress, at which the rupture of aluminum shell directly occurs, is estimated