The aim of the work is a simulation of dynamic explosive loading of the body of a specialized armored vehicle based on the development of theoretical foundations of shape change under the action of pulsed influence and calculation of power parameters. The further equation of the stress state at the point of the material under the conditions of pulse loading was obtained, the methods for determining the principal stresses and the invariant of the stress tensor considering the pulse nature of the load were established. The nature of the formed shock wave behavior due to the detonation of an explosive has been established. Analytical dependencies of the interaction of the shock wave with the loaded surface are made. A mathematical apparatus for calculating such parameters of the shock wave as the pressure of the detonation front and its change in time and the velocity of the shock wave at the time of reaching the surface has been developed. The authors developed and proposed an iterative procedure that allows determining the current values of stresses and strains passing through the points of the actual stresses curve, as well as the stresses and strains intensity during pulse loading of metals. A qualitative analysis of the developed models is performed and the values obtained during numerical simulation in the Ansys AUTODYN of the stress-strain state of workpieces during the explosive expansion using an iterative procedure. Using the analytical method proposed in the work, the theoretical calculation of mine resistance of the MPV's bodies was performed in accordance with the requirements of the NATO AEP-55 STANAG 4569 standardization agreement. The solution to this problem can be used in the future to evaluate the plastic properties of materials during welding and blast hardening; with explosion stamping of blanks and combined welding and explosion stamping operations; with impulse methods of stamping - magnetic-pulse, electro-hydraulic, gas detonation, etc., when parts of the workpiece collide with the matrix, and the other part continues to deform; when stamping on hammers; when crushing materials by the impact of a rigid body; explosion crushing of multicomponent environments; determined ballistic resistance of elements of combat equipment. Keywords: simulation, explosive loading, impulse impact, specialized armored vehicle, mine resistance.