Development of mathematical models of physical processes in a heterogeneous multilayer structure under radiation exposure

K. Chubur; I. Strukov; Svetlana A. Evdokimova; V. Belokurov; Aleksey Platonov; Oleg Cherkasov; Konstantin V. Zolnikov

doi:10.12737/2219-0767-2022-15-1-125-133

UDC 004.9 UDC 621

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DEVELOPMENT OF MATHEMATICAL MODELS OF PHYSICAL PROCESSES IN A HETEROGENEOUS MULTILAYER STRUCTURE UNDER RADIATION EXPOSURE Development of mathematical models of physical processes in a heterogeneous multilayer structure under radiation exposure

АА Аа

Published in Modeling of systems and processes · Volume 15, Issue 1 · Pages 125–133 · Rubric: Fiziko-matematicheskie nauki

DOI: https://doi.org/10.12737/2219-0767-2022-15-1-125-133

Received: 14.01.2022 Accepted: 01.03.2022 Published: 08.04.2022

Authors

K. Chubur

I. Strukov

Svetlana A. Evdokimova

V. Belokurov

et al.

Aleksey Platonov

Oleg Cherkasov

Konstantin V. Zolnikov

K. Chubur

FSBE Institution of Higher Education Voronezh State University of Forestry and Technologies named after G.F. Morozov Voronezh

I. Strukov

Voronezh State University of Forestry and Technologies named after G.F. Morozov Voronezh

Svetlana A. Evdokimova

Academic degree: candidate of technical sciences

Voronezh State University of Forestry and Technologies named after G.F. Morozov Voronezh

V. Belokurov

Voronezh State University of Forestry and Technologies named after G.F. Morozov Voronezh

Aleksey Platonov

Academic degree: doctor of technical sciences

Science rang: professor

Voronezh State University of Forestry and Technologies named after G.F. Morozov zaveduyuschiy kafedroy · kafedra drevesinovedeniya · Voronezh

Oleg Cherkasov

Voronezh State University of Forestry and Technologies named after G.F. Morozov Voronezh

Konstantin V. Zolnikov

Voronezh State University of Forestry and Technologies named after G.F. Morozov Russian Federation

ABSTRACT

The paper considers the processes occurring during the absorption of ionizing radiation energy. The task of developing mathematical models for determining the temperature of layers of a multilayer structure due to radiation absorption, the appearance of compression and tensile stresses, as well as tension associated with thermal expansion of the structure is set. It is assumed that the radiation energy is absorbed entirely in the beginning for a short period of time, and then it is redistributed across the layers. Each layer of the structure has its own initial and boundary conditions. Thus, the definition of a complex temperature profile is considered as the sum of some temperature profiles for simple problems solved analytically. The occurrence of stress in the structure is described by calculating the maximum value of the compression stress, the amplitude of the stress wave, as a result of which the expansion of materials can be observed. According to the proposed mathematical models, calculations of thermal and thermomechanical effects in a multilayer structure were carried out, the results of which are illustrated in the article by graphs of temperature distribution after exposure to ionization radiation, and stresses for different proportions of the thickness of the structure to its length.

KEYWORDS

Radiation exposure, ionizing radiation, thermal processes, multilayer structure, compression and tension stresses

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JATS XML

Editor-in-Chief, editorial board chair

GOST

Chubur K. A., Strukov I. I., Evdokimova S. A., Belokurov V. P., Platonov A. D., Cherkasov O., Zolnikov K. V. Development of mathematical models of physical processes in a heterogeneous multilayer structure under radiation exposure // Modeling of systems and processes. 2022. no. 1. pp. 125-133. DOI: https://doi.org/10.12737/2219-0767-2022-15-1-125-133. (Date of access 29.10.2026).

MLA

K. Chubur, Strukov I. I., Evdokimova S. A., Belokurov V. P., Platonov A. D., Cherkasov O., Zolnikov K. V.. "Development of mathematical models of physical processes in a heterogeneous multilayer structure under radiation exposure." Modeling of systems and processes 15.1 (2022): 125-133. DOI: https://doi.org/10.12737/2219-0767-2022-15-1-125-133.

APA

Chubur K. A., Strukov I. I., Evdokimova S. A., Belokurov V. P., Platonov A. D., Cherkasov O., Zolnikov K. V. (2022). Development of mathematical models of physical processes in a heterogeneous multilayer structure under radiation exposure. Modeling of systems and processes, 15(1), 125-133. https://doi.org/10.12737/2219-0767-2022-15-1-125-133

Chicago

K. Chubur, Strukov I. I., Evdokimova S. A., Belokurov V. P., Platonov A. D., Cherkasov O., Zolnikov K. V.. "Development of mathematical models of physical processes in a heterogeneous multilayer structure under radiation exposure." Modeling of systems and processes 15, no. 1 (2022): 125-133. https://doi.org/10.12737/2219-0767-2022-15-1-125-133.

WIKI

{{cite journal | author = Chubur K. A., Strukov I. I., Evdokimova S. A., Belokurov V. P., Platonov A. D., Cherkasov O., Zolnikov K. V. | title = Development of mathematical models of physical processes in a heterogeneous multilayer structure under radiation exposure | journal = Modeling of systems and processes | year = 2022 | volume = 15 | issue = 1 | pages = 125-133 | doi = 10.12737/2219-0767-2022-15-1-125-133 }}

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DEVELOPMENT OF MATHEMATICAL MODELS OF PHYSICAL PROCESSES IN A HETEROGENEOUS MULTILAYER STRUCTURE UNDER RADIATION EXPOSURE Development of mathematical models of physical processes in a heterogeneous multilayer structure under radiation exposure

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