Modeling of an electrothermal explosion in gasless systems placed into an electroconducting medium

An electrothermal explosion in cylindrical specimens surrounded by an annular layer of an electroconducting material is simulated. The entire system is located in a cylindrical metallic casing, which is electrically insulated from the electroconducting medium. Heat exchange with the ambient medium proceeds in accordance with Newton's law. An analytical solution of the problem of determining stationary temperature fields under inert heating in the absence of chemical heat sources is obtained. Critical conditions of the electrothermal explosion (power of electric heat release) are determined. Ignition on the specimen axis occurs in the supercritical regime in a certain range of the power of electric heat release. At greater values of the power of electric heat release, ignition occurs on the specimen surface.