Magnetocumulative (or flux compression) generators (MCGs) are often used in expendable pulsed power supplies. The disadvantages of MCGs include Raleigh-Taylor instabilities of converging liners, flux losses clue to had contact between the armature and the winding, and so on, but some MCGs do not have a liner or an armature. They are built around solid-state insulating materials with pronounced conductivity under shock pressures, such as aluminum powder, which is naturally coated by an oxide insulating layer. Here, we present a literature review and the results of our own research in this area.