Using the Duhamel-Neumann relationship and the equations of motion, the Saint-Venant compatibility conditions, are written as a system of six dynamic equations with respect to strains. It is shown that, unlike the Beltrami-Michell equations, these equations are independent and can be considered as dynamic equations of thermoelasticity.Considering these equations together with the heat influx equations, a coupled thermoelasticity problem in strains is formulated. It is shown, also that replacing, the first three equations in formulated coupled problem, with the motion equations allows us to set an alternative coupled problem in strains. Using the two proposed formulations the coupled thermoelastic problem on a rectangular plate is numerically solved. The validity of the formulated two boundary value problems of thermoelasticity is justified by comparing their numerical, obtained by the variable direction method and recurrence relations, as well as solving a similar related problem regarding displacements.
| Mualliflar | Джумаёзов, У.З. |
|---|---|
| Jurnal | Рақамли технологияларнинг назарий ва амалий масалалари |
| Nashriyot | ТАТУ Самарқанд филиали |
| ISSN | 2181-3086, 2181-3094 |
| Nashr sanasi | 2025-08-25 |
| Jild | 8 |
| Son | 3 |
| Betlar | 50-62 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| DOI | 10.62132/ijdt.v8i3.286 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.62132/ijdt.v8i3.286 · Maqolaning asl sahifasi
термоупругость, условие совместности Сен-Венана, деформация, конечно-разностный метод, явная и неявная схемы, метод прогонки, краевая задача, thermoelasticity, Saint-Venant compatibility condition, strain, finite-difference method, explicit and implicit schemes, variable direction method, boundary value problem
| APA | Джумаёзов, У.З. (2025). Dynamic Problems of Thermoelasticity in Strains for Plane Isotropic Bodies. Рақамли технологияларнинг назарий ва амалий масалалари, 8(3), 50-62. https://doi.org/10.62132/ijdt.v8i3.286 |
|---|---|
| GOST (OAK) | Джумаёзов, У.З. Dynamic Problems of Thermoelasticity in Strains for Plane Isotropic Bodies // Рақамли технологияларнинг назарий ва амалий масалалари. – 2025. – T. 8, № 3. – P. 50-62. – DOI: 10.62132/ijdt.v8i3.286. |
| MLA | Джумаёзов, У.З. “Dynamic Problems of Thermoelasticity in Strains for Plane Isotropic Bodies.” Рақамли технологияларнинг назарий ва амалий масалалари, 8(3), 50-62, 2025. https://doi.org/10.62132/ijdt.v8i3.286 |
| Chicago | Джумаёзов, У.З. “Dynamic Problems of Thermoelasticity in Strains for Plane Isotropic Bodies.” Рақамли технологияларнинг назарий ва амалий масалалари, 8(3), 50-62 (2025). https://doi.org/10.62132/ijdt.v8i3.286 |
| Harvard | Джумаёзов, У.З (2025) ‘Dynamic Problems of Thermoelasticity in Strains for Plane Isotropic Bodies’, Рақамли технологияларнинг назарий ва амалий масалалари, 8(3), 50-62. https://doi.org/10.62132/ijdt.v8i3.286 |
| BibTeX | @article{article2025,
title = {Dynamic Problems of Thermoelasticity in Strains for Plane Isotropic Bodies},
author = {Джумаёзов, У.З.},
journal = {Рақамли технологияларнинг назарий ва амалий масалалари},
year = {2025},
volume = {8},
number = {3},
pages = {50-62},
doi = {10.62132/ijdt.v8i3.286},
url = {https://doi.org/10.62132/ijdt.v8i3.286}
} |
Boshqa maqola uchun iqtibos tayyorlash
This article presents the development of an algorithm and a program based on a numerical model for calculating the main parameters of gas reservoir development, taking into account the variation of porosity depending on…
The article summarizes current literature data reflecting approaches and concepts for the development of scientifically grounded methods for studying the dynamic operating modes of cotton harvesters (CH). It highlights…
Scientific and methodological principles for optimizing the processes of identification, recognition, and classification of micro-objects have been developed based on the use of component characteristics in the image…
This article introduces an advanced speech signal protection technology aimed at safeguarding radio communication systems against information leakage. The proposed technology provides a reliable means of securing radio…
The quality of historical documents related to fields such as art, architecture, mathematics, astronomy, astrology, law, music, and medicine, which were written hundreds of years ago and are still preserved by libraries…
This article improves the mathematical model of the process of pollutant distribution in the atmospheric air taking into account their physical and mechanical properties - particle diameter, diffusion coefficient…
To study unsteady filtration and fluid displacement in multilayer porous systems, a self-similar solution has been obtained. From its form, it follows that by a special selection of parameters it is possible to ensure…
This paper discusses the problem of creating a multimodal dataset based on MediaPipe technology for automatic translation of Uzbek sign language into text and speech. Due to the multifaceted nature of sign language hand…
To effectively detect and prevent DDoS (Distributed Denial-of-Service) attacks, it is necessary to use various datasets. This article analyzes the most popular datasets for DDoS attack detection, including CIC-DDoS2019…
The article presents a theoretical and practical comparative analysis of four important methods related to feature extraction and dimensionality reduction: Fisher Discriminant Analysis (FDA), Canonical Correlation…
Рақамли технологияларнинг назарий ва амалий масалалари — barcha maqolalar · 2025-yil arxivi
In the work, new model equations in deformations for orthotropic bodies are proposed, from which, in a particular case, the well-known differential equations for the compat ibility of deformations for isotropic bodies…
This work is devoted to mathematical and numerical modeling of the coupled dynamic problem of thermoelasticity in deformations. A numerically related boundary value problem of thermoelasticity is formulated and solved…
Using the Duhamel-Neumann relationship and the equations of motion, the Saint-Venant compatibility conditions, are written as a system of six dynamic equations with respect to strains. It is shown that, unlike the…
In this article, within the framework of the Saint-Venant compatibility conditions, plane problems of plasticity theory formulated in terms of strains are presented, aimed at investigating the stress-strain state of a…
This article considers a new approach for the numerical solution of two-dimensional dynamic problems of thermo-elastic plasticity. Ilyushin's deformation theory is used as a model. Discrete equations are based on…
This paper is devoted to mathematical and numerical modeling of the coupled dynamic problem of thermoelasticity in deformations. The coupled boundary value problem of thermoelasticity in deformations for an isotropic…
This article examines compression as a meaning-oriented strategy in sign language translation and interpreting. Compression is understood not as arbitrary shortening, but as the selective reformulation of a source…
This study investigates the impact of Edge Computing on bandwidth utilization in Internet of Things (IoT)–driven Nigerian telecom networks. The rapid growth of IoT devices has significantly increased data traffic…
This article analyzes the scientific, pedagogical, and methodological foundations for the effective integration of national upbringing factors with modern global competencies in the context of continuous education…
This article addresses the problem of improving an adaptive traffic signal control algorithm at urban intersections by taking into account the dynamic characteristics of traffic flow. Fixed-time control under conditions…
Maqolada paxta xomashyosini yirik iflosliklardan tozalash jarayonida arrali baraban va kolosnikli panjara o‘rtasidagi o‘zaro ta’sirni takomillashtirish masalasi ko‘rib chiqilgan. Mavjud tozalagichlarda qo‘llaniladigan…
Maqolada paxta xomashyosini yirik va mayda iflosliklardan tozalash samaradorligini oshirishga qaratilgan ilmiy tadqiqotlar tizimlashtirilib, konstruktiv va texnologik omillarning o‘zaro ta’siri qiyosiy tahlil qilindi…