Numerical Solution of Problems in the Dynamically Coupled Two-Dimensional Theory of Thermoelasticity and Thermoplasticity

Джумаёзов, У.З., Абдирахмонова, М.Н., Зарипова, М.Д., Пулатов, С.П., Рустамов, А.А.

Рақамли технологияларнинг назарий ва амалий масалалари · 2025-yil

Annotatsiya

The article considers a numerical method for solving a two-dimensional coupled dynamic thermoplastic boundary value problem based on deformation theory of plasticity. Discrete equations are compiled by the finite-difference method in the form of explicit and implicit schemes. The solution of the explicit schemes is reduced to the recurrence relations regarding the components of displacement and temperature. Implicit schemes are efficiently solved using the elimination method for systems with a three-diagonal matrix along the appropriate directions. In this case, the diagonal predominance of the transition matrices ensures the convergence of implicit difference schemes. The problem of a thermoplastic rectangle clamped from all sides under the action of an internal thermal field is solved numerically. The stress-strain state of a thermoplastic rectangle and the distribution of displacement and temperature over various sections and points in time have been investigated.

Maqola ma’lumotlari
MualliflarДжумаёзов, У.З., Абдирахмонова, М.Н., Зарипова, М.Д., Пулатов, С.П., Рустамов, А.А.
JurnalРақамли технологияларнинг назарий ва амалий масалалари
NashriyotТАТУ Самарқанд филиали
ISSN2181-3086, 2181-3094
Nashr sanasi2025-10-23
Jild8
Son4
Betlar22-32
TilIngliz
Ilmiy sohaTexnika
DOI10.62132/ijdt.v8i4.299
Indeksga qo‘shilgan2026-08-26

DOI: 10.62132/ijdt.v8i4.299 · Maqolaning asl sahifasi

Kalit so‘zlar

термопластичность, перемещение, температура, напряжение, разностное уравнение, явная схема, сходимость, thermoplasticity, displacement, temperature, stress, differential equation, explicit scheme, convergence

Ilmiy soha

Texnika

Iqtibos keltirish

APAДжумаёзов, У.З., Абдирахмонова, М.Н., Зарипова, М.Д., Пулатов, С.П., & Рустамов, А.А. (2025). Numerical Solution of Problems in the Dynamically Coupled Two-Dimensional Theory of Thermoelasticity and Thermoplasticity. Рақамли технологияларнинг назарий ва амалий масалалари, 8(4), 22-32. https://doi.org/10.62132/ijdt.v8i4.299
GOST (OAK)Джумаёзов, У.З. va b. Numerical Solution of Problems in the Dynamically Coupled Two-Dimensional Theory of Thermoelasticity and Thermoplasticity // Рақамли технологияларнинг назарий ва амалий масалалари. – 2025. – T. 8, № 4. – P. 22-32. – DOI: 10.62132/ijdt.v8i4.299.
MLAДжумаёзов, У.З., Абдирахмонова, М.Н., Зарипова, М.Д., Пулатов, С.П., and Рустамов, А.А. “Numerical Solution of Problems in the Dynamically Coupled Two-Dimensional Theory of Thermoelasticity and Thermoplasticity.” Рақамли технологияларнинг назарий ва амалий масалалари, 8(4), 22-32, 2025. https://doi.org/10.62132/ijdt.v8i4.299
ChicagoДжумаёзов, У.З., Абдирахмонова, М.Н., Зарипова, М.Д., Пулатов, С.П., and Рустамов, А.А. “Numerical Solution of Problems in the Dynamically Coupled Two-Dimensional Theory of Thermoelasticity and Thermoplasticity.” Рақамли технологияларнинг назарий ва амалий масалалари, 8(4), 22-32 (2025). https://doi.org/10.62132/ijdt.v8i4.299
HarvardДжумаёзов, У.З., Абдирахмонова, М.Н., Зарипова, М.Д., Пулатов, С.П., and Рустамов, А.А (2025) ‘Numerical Solution of Problems in the Dynamically Coupled Two-Dimensional Theory of Thermoelasticity and Thermoplasticity’, Рақамли технологияларнинг назарий ва амалий масалалари, 8(4), 22-32. https://doi.org/10.62132/ijdt.v8i4.299
BibTeX
@article{article2025,
  title = {Numerical Solution of Problems in the Dynamically Coupled Two-Dimensional Theory of Thermoelasticity and Thermoplasticity},
  author = {Джумаёзов, У.З. and Абдирахмонова, М.Н. and Зарипова, М.Д. and Пулатов, С.П. and Рустамов, А.А.},
  journal = {Рақамли технологияларнинг назарий ва амалий масалалари},
  year = {2025},
  volume = {8},
  number = {4},
  pages = {22-32},
  doi = {10.62132/ijdt.v8i4.299},
  url = {https://doi.org/10.62132/ijdt.v8i4.299}
}

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