Issue |
E3S Web Conf.
Volume 563, 2024
International Conference on Environmental Science, Technology and Engineering (ICESTE 2024)
|
|
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Article Number | 02019 | |
Number of page(s) | 6 | |
Section | Civil Engineering | |
DOI | https://doi.org/10.1051/e3sconf/202456302019 | |
Published online | 30 August 2024 |
Numerical Solution of the Plane Problem of Thermo-Elasticity in Strains
1 National University of Uzbekistan, Tashkent, Uzbekistan
2 Samarkand branch of Tashkent University of Information Technologies, Samarkand, Uzbekistan
* Corresponding author: djumayozov@bk.ru
In the work, within the framework of the Saint-Venant compatibility conditions, two plane problems of thermoelasticity with respect to deformations are formulated. The closedness of boundary value problems is achieved by considering equilibrium equations on the boundary of a given region. Grid equations of thermoelastic problems are compiled using the finite-difference method and solved by the alternative method. The problem of a free thermoelastic rectangle located in a given temperature field is solved numerically. The validity of the formulated boundary value problems and the reliability of the solution are justified by comparing the numerical results of the formulated boundary value problems regarding displacements and stresses.
© The Authors, published by EDP Sciences, 2024
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