Numerical Study of a Thermally Stressed State of a Rod
This paper considers a new method based on the law of energy conservation for the study of thermo-stress-strain state of a rod of limited length with simultaneous presence of local heat fluxes, heat exchanges, and thermal insulation. The method allows determining the field of temperature distributio...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2019/8986010 |
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| _version_ | 1850109442875457536 |
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| author | Anarbay Kudaykulov Erkin Arinov Nurlybek Ispulov Abdul Qadir Kalamkas Begaliyeva |
| author_facet | Anarbay Kudaykulov Erkin Arinov Nurlybek Ispulov Abdul Qadir Kalamkas Begaliyeva |
| author_sort | Anarbay Kudaykulov |
| collection | DOAJ |
| description | This paper considers a new method based on the law of energy conservation for the study of thermo-stress-strain state of a rod of limited length with simultaneous presence of local heat fluxes, heat exchanges, and thermal insulation. The method allows determining the field of temperature distribution and the three components of deformations and stresses, as well as the magnitude of the rod elongation and the resulting axial force with an accuracy of satisfying the energy conservation laws. For specific initial data, all the sought-for ones are determined numerically with high accuracy. We found that all solutions satisfy the laws of energy conservation. |
| format | Article |
| id | doaj-art-4a972d57c8a7431f8a4298dff778b1c2 |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-4a972d57c8a7431f8a4298dff778b1c22025-08-20T02:38:05ZengWileyAdvances in Mathematical Physics1687-91201687-91392019-01-01201910.1155/2019/89860108986010Numerical Study of a Thermally Stressed State of a RodAnarbay Kudaykulov0Erkin Arinov1Nurlybek Ispulov2Abdul Qadir3Kalamkas Begaliyeva4Institute of Information and Computational Technologies CS MES RK, Almaty, KazakhstanZhezkazgan University named after O.A. Baykonurov, Zhezkazgan, KazakhstanS. Toraighyrov Pavlodar State University, Pavlodar, KazakhstanDepartment of Electrical Engineering, Sukkur IBA University, Sindh, PakistanAl-Farabi Kazakh National University, Almaty, KazakhstanThis paper considers a new method based on the law of energy conservation for the study of thermo-stress-strain state of a rod of limited length with simultaneous presence of local heat fluxes, heat exchanges, and thermal insulation. The method allows determining the field of temperature distribution and the three components of deformations and stresses, as well as the magnitude of the rod elongation and the resulting axial force with an accuracy of satisfying the energy conservation laws. For specific initial data, all the sought-for ones are determined numerically with high accuracy. We found that all solutions satisfy the laws of energy conservation.http://dx.doi.org/10.1155/2019/8986010 |
| spellingShingle | Anarbay Kudaykulov Erkin Arinov Nurlybek Ispulov Abdul Qadir Kalamkas Begaliyeva Numerical Study of a Thermally Stressed State of a Rod Advances in Mathematical Physics |
| title | Numerical Study of a Thermally Stressed State of a Rod |
| title_full | Numerical Study of a Thermally Stressed State of a Rod |
| title_fullStr | Numerical Study of a Thermally Stressed State of a Rod |
| title_full_unstemmed | Numerical Study of a Thermally Stressed State of a Rod |
| title_short | Numerical Study of a Thermally Stressed State of a Rod |
| title_sort | numerical study of a thermally stressed state of a rod |
| url | http://dx.doi.org/10.1155/2019/8986010 |
| work_keys_str_mv | AT anarbaykudaykulov numericalstudyofathermallystressedstateofarod AT erkinarinov numericalstudyofathermallystressedstateofarod AT nurlybekispulov numericalstudyofathermallystressedstateofarod AT abdulqadir numericalstudyofathermallystressedstateofarod AT kalamkasbegaliyeva numericalstudyofathermallystressedstateofarod |