Згин функціонально-градієнтної пластини за нестаціонарного нагрівання і початкового напруження
The thermoelastic behavior of a rectangular isotropic functional-gradient plate, which, being initially in a plane stress state, is unsteadily heated by the medium due to convective heat exchange, has been investigated. For this, the five-modal mathematical model of the shear theory of thermoelastic...
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| Date: | 2023 |
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| Main Author: | |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
2023
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| Subjects: | |
| Online Access: | http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2023.21.77-84 |
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| Journal Title: | Prykladni Problemy Mekhaniky i Matematyky |
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Prykladni Problemy Mekhaniky i Matematyky| Summary: | The thermoelastic behavior of a rectangular isotropic functional-gradient plate, which, being initially in a plane stress state, is unsteadily heated by the medium due to convective heat exchange, has been investigated. For this, the five-modal mathematical model of the shear theory of thermoelasticity and the two-dimensional equations of thermal conductivity of heterogeneous isotropic plates were used. Using the methods of Fourier and Laplace integral transformations, the solution of the non-stationary problem of thermal conductivity and the quasi-static problem of thermoelasticity for a finite hinged plate supported on the edges is found. Numerical results are given for a heterogeneous ceramic-metal composite. Cite as: U. V. Zhydyk, “Bending of the functional-gradient plate under non-stationary heating and initial stress,” Prykl. Probl. Mekh. Mat., Issue 21, 77–84 (2023) (in Ukrainian), https://doi.org/10.15407/apmm2023.21.77-84 |
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