The work is devoted to the numerical solution of two-dimensional boundary value problems of elasticity theory formulated with respect to deformations. Differential equations of deformations are constructed on the basis of the Lame equations and consist of six equations. Differential equations of deformations together with the equilibrium equations written with respect to deformations and Hooke's law, as well as with the corresponding boundary and additional conditions obtained according to the equilibrium equations, constitute a boundary value problem of elasticity theory in deformations. For the two-dimensional case, finite-difference equations are constructed, solved by the iterative method. The problem of compression of a rectangle under the action of a uniform load is solved numerically, and a comparison with the exact solution constructed according to the semi-inverse method is carried out.
| Mualliflar | Джумаёзов, У.З., Рахмонова, Р., Пулатов, С., Махмадиёрова, М.Х. |
|---|---|
| Jurnal | Рақамли технологияларнинг назарий ва амалий масалалари |
| Nashriyot | ТАТУ Самарқанд филиали |
| ISSN | 2181-3086, 2181-3094 |
| Nashr sanasi | 2025-08-05 |
| Jild | 8 |
| Son | 3 |
| Betlar | 7-14 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| DOI | 10.62132/ijdt.v8i3.280 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.62132/ijdt.v8i3.280 · Maqolaning asl sahifasi
деформация, упругость, напряжения, уравнения деформаций равновесия, краевая задача, итерационный метод, deformation, elasticity, stress, equilibrium deformation equations, boundary value problem, iterative method
| APA | Джумаёзов, У.З., Рахмонова, Р., Пулатов, С., & Махмадиёрова, М.Х. (2025). New Formulation and Numerical Solution of a Two-Dimensional Boundary Value Problem in the Theory of Elasticity in Terms of Deformations. Рақамли технологияларнинг назарий ва амалий масалалари, 8(3), 7-14. https://doi.org/10.62132/ijdt.v8i3.280 |
|---|---|
| GOST (OAK) | Джумаёзов, У.З. va b. New Formulation and Numerical Solution of a Two-Dimensional Boundary Value Problem in the Theory of Elasticity in Terms of Deformations // Рақамли технологияларнинг назарий ва амалий масалалари. – 2025. – T. 8, № 3. – P. 7-14. – DOI: 10.62132/ijdt.v8i3.280. |
| MLA | Джумаёзов, У.З., Рахмонова, Р., Пулатов, С., and Махмадиёрова, М.Х. “New Formulation and Numerical Solution of a Two-Dimensional Boundary Value Problem in the Theory of Elasticity in Terms of Deformations.” Рақамли технологияларнинг назарий ва амалий масалалари, 8(3), 7-14, 2025. https://doi.org/10.62132/ijdt.v8i3.280 |
| Chicago | Джумаёзов, У.З., Рахмонова, Р., Пулатов, С., and Махмадиёрова, М.Х. “New Formulation and Numerical Solution of a Two-Dimensional Boundary Value Problem in the Theory of Elasticity in Terms of Deformations.” Рақамли технологияларнинг назарий ва амалий масалалари, 8(3), 7-14 (2025). https://doi.org/10.62132/ijdt.v8i3.280 |
| Harvard | Джумаёзов, У.З., Рахмонова, Р., Пулатов, С., and Махмадиёрова, М.Х (2025) ‘New Formulation and Numerical Solution of a Two-Dimensional Boundary Value Problem in the Theory of Elasticity in Terms of Deformations’, Рақамли технологияларнинг назарий ва амалий масалалари, 8(3), 7-14. https://doi.org/10.62132/ijdt.v8i3.280 |
| BibTeX | @article{article2025,
title = {New Formulation and Numerical Solution of a Two-Dimensional Boundary Value Problem in the Theory of Elasticity in Terms of Deformations},
author = {Джумаёзов, У.З. and Рахмонова, Р. and Пулатов, С. and Махмадиёрова, М.Х.},
journal = {Рақамли технологияларнинг назарий ва амалий масалалари},
year = {2025},
volume = {8},
number = {3},
pages = {7-14},
doi = {10.62132/ijdt.v8i3.280},
url = {https://doi.org/10.62132/ijdt.v8i3.280}
} |
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