Mathematical Modeling of Reinforced Concrete Slab Failure under Impact Loading Based on a Mixture Model
https://doi.org/10.22227/2949-1622.2026.1.53-61
Abstract
The paper considers the problem of local failure of a reinforced concrete slab subjected to impact by a heavy steel projectile. This problem is of practical importance in the design and safety assessment of protective structures, including facilities in the nuclear industry and other special-purpose structures. The relevance of the study is determined by the need for computationally efficient models capable of accounting for the influence of reinforcement on penetration parameters and damage patterns under moderate velocity impact loading. The aim of the study is to develop and justify a mixture-based mathematical model of reinforced concrete for predicting local damage and penetration depth. A numerical approach is used in which reinforced concrete is represented as a homogeneous two-phase medium reflecting the combined action of the concrete matrix and reinforcing steel. The model is calibrated using published experimental data for the impact of a composite steel projectile with a mass of about 330 kg and a velocity of about 30 m/s on a reinforced concrete slab. The calculations made it possible to determine the kinematic parameters of projectile motion, penetration depth, and the main features of target failure. The results show that the proposed model reproduces the main characteristics of reinforced concrete slab perforation with satisfactory accuracy and can be used for engineering assessment of the impact resistance of reinforced concrete structures.
About the Authors
N. T. Yugov
Tomsk State University of Architecture and Building
Russian Federation
Russian Federation
Nikolay T. Yugov, Doctor of Physical and Mathematical Sciences, Professor
2 Solyanaya Sq., Tomsk, 634003
Scopus: 6603503907, ResearcherID: N-9015-2014
N. N. Belov
Tomsk State University of Architecture and Building
Russian Federation
Russian Federation
Nikolay N. Belov, Doctor of Physical and Mathematical Sciences, Professor
2 Solyanaya Sq., Tomsk, 634003
Scopus: 7006178222, ResearcherID: N-8999-2014
G. P. Tonkikh
Moscow State University of Civil Engineering (National Research University) (MGSU)
Russian Federation
Russian Federation
Gennady P. Tonkikh, Doctor of Technical Sciences, Professor
26 Yaroslavskoye shosse, Moscow, 129337
A. S. Plyaskin
Tomsk State University of Architecture and Building
Russian Federation
Russian Federation
Andrey S. Plyaskin, Candidate of Technical Sciences, Associate Professor, Head of the Department of Metal and Timber Structures
2 Solyanaya Sq., Tomsk, 634003
Scopus: 56203778300, ResearcherID: W-8590-2019
A. I. Babarykina
Tomsk State University of Architecture and Building
Russian Federation
Russian Federation
Anna I. Babarykina, Assistant of the Department of Metal and Timber Structures
2 Solyanaya Sq., Tomsk, 634003
Scopus: 58919320700, ResearcherID: JNS-4143-2023
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Review
For citations:
Yugov N.T., Belov N.N., Tonkikh G.P., Plyaskin A.S., Babarykina A.I. Mathematical Modeling of Reinforced Concrete Slab Failure under Impact Loading Based on a Mixture Model. Reinforced concrete structures. 2026;13(1):53-61. (In Russ.) https://doi.org/10.22227/2949-1622.2026.1.53-61
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