New model equations of coupled boundary value problems of thermoelasticity in deformations: for an isotropic rod, a rectangular plate and a parallelepiped

Джумаёзов, Умиджон

Рақамли технологияларнинг назарий ва амалий масалалари · 2024-yil

Annotatsiya

The present work is devoted to the formulation and numerical solution of coupled boundary value problems of thermoelasticity with respect to deformations for a rod, a plate, and a parallelepiped. Two equivalent coupled boundary value problems of thermoelasticity with respect to deformations and temperature are proposed. The first equation of thermoelasticity is found within the framework of the compatibility conditions of the Saint-Venant deformations and the heat influx equation with the corresponding initial and boundary conditions. In the second case, the differential equations of thermoelasticity are replaced by differentiated equations of motion. The validity of the formulated two boundary value problems of thermoelasticity is substantiated by comparing their numerical results obtained by the sweep method and recurrence relations, as well as by solving a similar coupled problem with respect to displacements.

Maqola ma’lumotlari
MualliflarДжумаёзов, Умиджон
JurnalРақамли технологияларнинг назарий ва амалий масалалари
NashriyotТАТУ Самарқанд филиали
ISSN2181-3086, 2181-3094
Nashr sanasi2024-10-09
Jild7
Son3
Betlar33-44
TilIngliz
Ilmiy sohaTexnika
DOI10.62132/ijdt.v7i3.194
Indeksga qo‘shilgan2026-08-26

DOI: 10.62132/ijdt.v7i3.194 · Maqolaning asl sahifasi

Kalit so‘zlar

термоупругость, метод прогонки, температура, краевая задача, перемещения, уравнения движения, thermoelasticity, sweep method, temperature, boundary value problem, displacements, equations of motion

Ilmiy soha

Texnika

Iqtibos keltirish

APAДжумаёзов, Умиджон (2024). New model equations of coupled boundary value problems of thermoelasticity in deformations: for an isotropic rod, a rectangular plate and a parallelepiped. Рақамли технологияларнинг назарий ва амалий масалалари, 7(3), 33-44. https://doi.org/10.62132/ijdt.v7i3.194
GOST (OAK)Джумаёзов, Умиджон New model equations of coupled boundary value problems of thermoelasticity in deformations: for an isotropic rod, a rectangular plate and a parallelepiped // Рақамли технологияларнинг назарий ва амалий масалалари. – 2024. – T. 7, № 3. – P. 33-44. – DOI: 10.62132/ijdt.v7i3.194.
MLAДжумаёзов, Умиджон. “New model equations of coupled boundary value problems of thermoelasticity in deformations: for an isotropic rod, a rectangular plate and a parallelepiped.” Рақамли технологияларнинг назарий ва амалий масалалари, 7(3), 33-44, 2024. https://doi.org/10.62132/ijdt.v7i3.194
ChicagoДжумаёзов, Умиджон. “New model equations of coupled boundary value problems of thermoelasticity in deformations: for an isotropic rod, a rectangular plate and a parallelepiped.” Рақамли технологияларнинг назарий ва амалий масалалари, 7(3), 33-44 (2024). https://doi.org/10.62132/ijdt.v7i3.194
HarvardДжумаёзов, Умиджон (2024) ‘New model equations of coupled boundary value problems of thermoelasticity in deformations: for an isotropic rod, a rectangular plate and a parallelepiped’, Рақамли технологияларнинг назарий ва амалий масалалари, 7(3), 33-44. https://doi.org/10.62132/ijdt.v7i3.194
BibTeX
@article{article2024,
  title = {New model equations of coupled boundary value problems of thermoelasticity in deformations: for an isotropic rod, a rectangular plate and a parallelepiped},
  author = {Джумаёзов, Умиджон},
  journal = {Рақамли технологияларнинг назарий ва амалий масалалари},
  year = {2024},
  volume = {7},
  number = {3},
  pages = {33-44},
  doi = {10.62132/ijdt.v7i3.194},
  url = {https://doi.org/10.62132/ijdt.v7i3.194}
}

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