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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2025 Volume 29, Number 3, Pages 430–447 (Mi vsgtu2157)

Mechanics of Solids

Impact interaction between granular media and a rod with conical head

A. V. Kochetkov, I. A. Modin, V. V. Balandin, Vl. Vl. Balandin, K. D. Bessmertnyi

Research Institute of Mechanics, National Research Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, 603022, Russian Federation

Abstract: Numerical modeling of impact interaction between a non-deformable conical body and a porous layer has been performed. The porous layer is represented as an assembly of discrete elements, whose motion and deformation are described using a mesh-free discrete element method (DEM). This approach interprets elements as particles with defined elastic properties, enabling effective simulation of processes involving large displacements and material discontinuity, unlike conventional mesh-based methods. The fundamental principles of DEM, which has gained widespread adoption due to advances in computational technologies, are presented. The numerical model and calculation methodology are described in detail. Simulation results are presented for normal high-velocity interaction between a deformable porous medium (composed of particles) and an elastic rod with a conical contact surface. Coulomb friction at the interface between the porous medium and conical surface is accounted for. The contact forces exerted by the discrete medium on the elastic conical body are evaluated. The numerical results are compared with experimental data obtained from reverse ballistic experiments where a container with porous material is projected against a stationary rod at various initial velocities.

Keywords: discrete element method, numerical modeling, experiment, three-dimensional problem, large displacements, impact, penetration, granular layer, friction

UDC: 539.3

MSC: 74M25, 70E55

Received: February 24, 2025
Revised: April 28, 2025
Accepted: June 9, 2025
First online: July 17, 2025

DOI: 10.14498/vsgtu2157



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