This article presents a comprehensive mathematical modeling of thermo-electro magneto-elastic processes in anisotropic thin plates of complex shapes using the R function method (RFM). The model considers interrelated physical fields: thermal, elec trical, magnetic, and mechanical, acting on the structure. The R-function method is employed to describe geometrically complex domains and to set boundary conditions, allowing the formation of smooth solutions without explicitly defining the boundary conditions. A system of differential equations of motion is constructed, taking into account the material anisotropy and the influence of external physical factors. The proposed model can be used to analyze the state of complex technical structures operating under multiphysical influences. The paper presents numerical results and a graphical interpre tation of the plates’ behavior under various loading conditions.
| Mualliflar | Nuraliev, F.M., Tokhirov, B.N., Нуралиев, Ф.М., Тохиров, Б.Н. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashriyot | Тошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази |
| ISSN | 2181-8460, 2181-046X |
| Nashr sanasi | 2025-09-20 |
| Son | 4 |
| Betlar | 17-25 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.71310/pcam.4_68.2025.11 |
| Indeksga qo‘shilgan | 2026-08-27 |
DOI: 10.71310/pcam.4_68.2025.11 · Maqolaning asl sahifasi
R-function method, anisotropic plate, thermo-electro-magneto-elastic processes, comprehensive modeling, complex geometry, multiphysical systems, equations of motion, numerical solution, метод R-функций, анизотропная пластина, термо-электро магнито-упругие процессы, комплексное моделирование, сложная геометрия, мультифизические системы, уравнение движения, численное решение
| APA | Nuraliev, F.M., Tokhirov, B.N., Нуралиев, Ф.М., & Тохиров, Б.Н. (2025). Comprehensive Mathematical Modeling of Thermo-Electro-Magneto-Elastic Processes in Anisotropic Thin Plates of Complex Shape based on the RFM Method. Ҳисоблаш ва амалий математика муаммолари, (4), 17-25. https://doi.org/10.71310/pcam.4_68.2025.11 |
|---|---|
| GOST (OAK) | Nuraliev, F.M. va b. Comprehensive Mathematical Modeling of Thermo-Electro-Magneto-Elastic Processes in Anisotropic Thin Plates of Complex Shape based on the RFM Method // Ҳисоблаш ва амалий математика муаммолари. – 2025. – № 4. – P. 17-25. – DOI: 10.71310/pcam.4_68.2025.11. |
| MLA | Nuraliev, F.M., Tokhirov, B.N., Нуралиев, Ф.М., and Тохиров, Б.Н. “Comprehensive Mathematical Modeling of Thermo-Electro-Magneto-Elastic Processes in Anisotropic Thin Plates of Complex Shape based on the RFM Method.” Ҳисоблаш ва амалий математика муаммолари, (4), 17-25, 2025. https://doi.org/10.71310/pcam.4_68.2025.11 |
| Chicago | Nuraliev, F.M., Tokhirov, B.N., Нуралиев, Ф.М., and Тохиров, Б.Н. “Comprehensive Mathematical Modeling of Thermo-Electro-Magneto-Elastic Processes in Anisotropic Thin Plates of Complex Shape based on the RFM Method.” Ҳисоблаш ва амалий математика муаммолари, (4), 17-25 (2025). https://doi.org/10.71310/pcam.4_68.2025.11 |
| Harvard | Nuraliev, F.M., Tokhirov, B.N., Нуралиев, Ф.М., and Тохиров, Б.Н (2025) ‘Comprehensive Mathematical Modeling of Thermo-Electro-Magneto-Elastic Processes in Anisotropic Thin Plates of Complex Shape based on the RFM Method’, Ҳисоблаш ва амалий математика муаммолари, (4), 17-25. https://doi.org/10.71310/pcam.4_68.2025.11 |
| BibTeX | @article{nuralievfm2025,
title = {Comprehensive Mathematical Modeling of Thermo-Electro-Magneto-Elastic Processes in Anisotropic Thin Plates of Complex Shape based on the RFM Method},
author = {Nuraliev, F.M. and Tokhirov, B.N. and Нуралиев, Ф.М. and Тохиров, Б.Н.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2025},
number = {4},
pages = {17-25},
doi = {10.71310/pcam.4_68.2025.11},
url = {https://doi.org/10.71310/pcam.4_68.2025.11}
} |
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