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 parallelepiped with appropriate initial and boundary conditions is formulated and solved numerically. The mesh equations are constructed by finite-difference method in the form of explicit and implicit schemes. The solution of the explicit scheme is reduced to recurrence relations with respect to deformations and temperature. In the case of implicit finite-difference schemes, the equations are solved by successive application of the run method. The validity of the formulated boundary value problems is substantiated by comparing numerical results obtained with different methods on the basis of two different models.
| Mualliflar | Джумаёзов, У.З. |
|---|---|
| Jurnal | Рақамли технологияларнинг назарий ва амалий масалалари |
| Nashriyot | ТАТУ Самарқанд филиали |
| ISSN | 2181-3086, 2181-3094 |
| Nashr sanasi | 2024-04-09 |
| Jild | 7 |
| Son | 1 |
| Betlar | 7-15 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| DOI | 10.62132/ijdt.v7i1.154 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.62132/ijdt.v7i1.154 · Maqolaning asl sahifasi
thermoelasticity, joint condition, deformation, initial conditions, explicit and implicit schemes, finite-difference method, run method, boundary value problem, термоупругость, условие совместности, деформация, начальные условия, явная и неявная схемы, конечно-разностный метод, метод прогонки, краевая задача
| APA | Джумаёзов, У.З. (2024). New coupled boundary value problems of thermoelasticity in strains for an isotropic parallelepiped. Рақамли технологияларнинг назарий ва амалий масалалари, 7(1), 7-15. https://doi.org/10.62132/ijdt.v7i1.154 |
|---|---|
| GOST (OAK) | Джумаёзов, У.З. New coupled boundary value problems of thermoelasticity in strains for an isotropic parallelepiped // Рақамли технологияларнинг назарий ва амалий масалалари. – 2024. – T. 7, № 1. – P. 7-15. – DOI: 10.62132/ijdt.v7i1.154. |
| MLA | Джумаёзов, У.З. “New coupled boundary value problems of thermoelasticity in strains for an isotropic parallelepiped.” Рақамли технологияларнинг назарий ва амалий масалалари, 7(1), 7-15, 2024. https://doi.org/10.62132/ijdt.v7i1.154 |
| Chicago | Джумаёзов, У.З. “New coupled boundary value problems of thermoelasticity in strains for an isotropic parallelepiped.” Рақамли технологияларнинг назарий ва амалий масалалари, 7(1), 7-15 (2024). https://doi.org/10.62132/ijdt.v7i1.154 |
| Harvard | Джумаёзов, У.З (2024) ‘New coupled boundary value problems of thermoelasticity in strains for an isotropic parallelepiped’, Рақамли технологияларнинг назарий ва амалий масалалари, 7(1), 7-15. https://doi.org/10.62132/ijdt.v7i1.154 |
| BibTeX | @article{article2024,
title = {New coupled boundary value problems of thermoelasticity in strains for an isotropic parallelepiped},
author = {Джумаёзов, У.З.},
journal = {Рақамли технологияларнинг назарий ва амалий масалалари},
year = {2024},
volume = {7},
number = {1},
pages = {7-15},
doi = {10.62132/ijdt.v7i1.154},
url = {https://doi.org/10.62132/ijdt.v7i1.154}
} |
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