ISSN 3041-1815. Physicochemical Mechanics of Materials. 2026.
Volume 62, Issue 4

Modeling of impact resistance of multilayer structures

Keywords

striking element, protective structure, mathematical modeling, penetration, perforation, ballistic resistance, contact pressure, damping layer.

Cite as

Vankevych P. I., Velychko L. D., Bolkot P. A., Chernenko A. D., Ivakhiv O. S., Ilkiv I. M., Dehtiarenko V. V., Balandin M. V. Modeling of impact resistance of multilayer structures. Physicochemical Mechanics of Materials. 2026. 62(4), 139-143.

Abstract

The aim of this study is to develop a mathematical model describing the penetration and perforation of striking elements and to evaluate the influence of the mechanical properties of protective structures on the interaction process. A mathematical model is proposed that accounts for the relationship between the stiffness of the protective structure, the nonlinear elastic properties of the damping layer, and the kinematic and force characteristics of penetration. A system of differential equations and analytical relationships is formulated to determine the kinematic and force parameters of the interaction process. Numerical analysis is performed to establish the influence of the mechanical properties of the protective structure on the motion parameters of the striking element, penetration duration, contact pressure, and structural deformation. It is shown that the use of a damping layer with a regressive nonlinear force–deformation relationship reduces the maximum contact pressure without a significant increase in the deformation of the protective structure. The proposed model can be applied to the computational assessment of ballistic resistance and to substantiate the design parameters of multilayer protective structures.