ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

DOI 10.15507/2079-6900.26.202403.313-325

Original article

ISSN 2079-6900 (Print)

ISSN 2587-7496 (Online)

MSC2020 74S05, 74G70, 74-04, 74A45, 35Q74

Desctruction of frame composite concrete slab that is off-center loaded

A. O. Syromyasov1, Yu. A. Makarov1, V. T. Erofeev2

1National Research Mordovia State University (Saransk, Russian Federation)

2Moscow State University of Civil Engineering (Moscow, Russian Federation)

Abstract. The authors simulate non-uniform stress distribution in multilayer building envelope. Its layers, made of different kinds of concrete, are tightly coupled with each other. Such constructions are of significant practical interest because their heat insulation properties may be much better than the corresponding properties of uniform slabs of the same thickness (though their toughness is still sufficient). The authors state the problem about the distribution of equivalent and maximal principal stresses in such a slab. In the framework of this problem loads and kinematic constraints imposed on the body of interest are typical for industrial and civil buildings. Numerical simulation is provided with the aid of ANSYS finite element software package. The paper discusses the reasons for non-physical behaviour demonstrated by the stress after mesh refinement and proposes the way to fix this problem. Then the authors use the approach described to find a critical load causing destruction of the slab.

Key Words: numerical modelling, finite element method, stress-strain state, multilayer building envelopes, strength of constructions

For citation: A. O. Syromyasov, Yu. A. Makarov, V. T. Erofeev. Desctruction of frame composite concrete slab that is off-center loaded. Zhurnal Srednevolzhskogo matematicheskogo obshchestva. 26:3(2024), 313–325. DOI: https://doi.org/10.15507/2079-6900.26.202403.313-325

Submitted: 26.06.2024; Revised: 29.07.2024; Accepted: 28.08.2024

Information about the authors:

Alexey O. Syromyasov, Ph.D. in Phys. and Math., Associate Professor, Department of Applied Mathematics, Differential Equations and Theoretical Mechanics, National Research Mordovia State University (68/1 Bolshevistskaya St., Saransk 430005, Russia), ORCID: http://orcid.org/0000-0001-6520-0204, syal1@yandex.ru

Yurii A. Makarov, Ph.D. in Engineering, Associate Professor, Department of Applied Mathematics, Differential Equations and Theoretical Mechanics, National Research Mordovia State University (68/1 Bolshevistskaya St., Saransk 430005, Russia), ORCID: http://orcid.org/0000-0002-6242-4138, makarov.yira75@mail.ru

Vladimir T. Erofeev, D. Sci. in Engineering, academic of Russian Academy of Architecture and Construction Sciences, Professor, Department of Construction Materials Science, Moscow State University of Civil Engineering (26 Yaroslavskoye Shosse, Moscow 129337, Russia), ORCID: https://orcid.org/0000-0001-8407-8144, erofeevvt@bk.ru

All authors have read and approved the final manuscript.

Conflict of interest: The authors declare no conflict of interest.

Creative Commons Attribution 4.0 International License This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International License.