A mathematical model of the functioning of a composite sleeve using the bubnov-galerkin bursting method and the moment theory of strength of thin shells

The article is devoted to the development of a mathematical model of the functioning of a composite sleeve in the automation cycle using continuum mechanics and the moment theory of strength of thin shells, which differs from the known ones in the ability to estimate strength along its entire length and at the junction of various materials by introducing the ratio of the end length to the length of the plane of contact of the joint into the calculation formula of the reduced contact stiffness. When firing, the cartridge undergoes deformation under the influence of pressure in the chamber in an extremely short period of time, it is necessary to take into account changes in the constitutive model of the material upon impact. The scientific and methodological devices developed to date do not allow us to fully describe the dynamic loads on the composite sleeve during firing and extraction. The model developed in the article made it possible to determine the properties of the material for the body of the composite sleeve, taking into account its strength and the necessary elastic plasticity.