https://oldena.lpnu.ua/handle/ntb/52504| Title: | Modeling of Thermoviscoelasticity Time Harmonic Variational Problem for a Thin Wall Body |
| Authors: | Malets, Romanna Malets, Igor Shynkarenko, Heorgiy Vahin, Petro |
| Affiliation: | Lviv State University of Life Safety Ivan Franko National University of Lviv |
| Bibliographic description (Ukraine): | Modeling of Thermoviscoelasticity Time Harmonic Variational Problem for a Thin Wall Body / Romanna Malets, Igor Malets, Heorgiy Shynkarenko, Petro Vahin // Data stream mining and processing : proceedings of the IEEE second international conference, 21-25 August 2018, Lviv. — Львів : Lviv Politechnic Publishing House, 2018. — P. 259–264. — (Dynamic Data Mining & Data Stream Mining). |
| Bibliographic description (International): | Modeling of Thermoviscoelasticity Time Harmonic Variational Problem for a Thin Wall Body / Romanna Malets, Igor Malets, Heorgiy Shynkarenko, Petro Vahin // Data stream mining and processing : proceedings of the IEEE second international conference, 21-25 August 2018, Lviv. — Lviv Politechnic Publishing House, 2018. — P. 259–264. — (Dynamic Data Mining & Data Stream Mining). |
| Is part of: | Data stream mining and processing : proceedings of the IEEE second international conference, 2018 |
| Conference/Event: | IEEE second international conference "Data stream mining and processing" |
| Issue Date: | 28-Feb-2018 |
| Publisher: | Lviv Politechnic Publishing House |
| Place of the edition/event: | Львів |
| Temporal Coverage: | 21-25 August 2018, Lviv |
| Keywords: | initial-boundary value problem thermoviscoelasticity material with short-term memory variational formulation semidiscretization well-posedness of problem Galerkin discretization |
| Number of pages: | 6 |
| Page range: | 259-264 |
| Start page: | 259 |
| End page: | 264 |
| Abstract: | The paper presents the construction and analysis of vibration problem of thermoviscoelastic shells under the influence of non-stationary heat and under forced loads. The studied model was based on application of simplest finite element semidiscretization to mixed variational problem of dynamical thermoviscoelasticity. The problem in addition to the mutual influence of temperature field and stress field is also taken into account the viscoelastic properties of the material thin wall body. For assumptions quite suitable for applications we prove the well-posedness forthis model of time harmonic vibrations. |
| URI: | https://ena.lpnu.ua/handle/ntb/52504 |
| ISBN: | © Національний університет „Львівська політехніка“, 2018 © Національний університет „Львівська політехніка“, 2018 |
| Copyright owner: | © Національний університет “Львівська політехніка”, 2018 |
| References (Ukraine): | [1] R. Malets, and H. Shynkarenko, “Modeling and solvability of the variational problem of thermo-elastic thin shells, compliant to shear and compression,” Manufacturing Processes. Actual Problems, Basic Science Applications. Opole: Politechnika Opolska, vol.1, pp. 103-121, 2014. [2] R. B. Malets, “Modeling of heat conduction processes in a thin threedimensional layer,” Visnyk of the Lviv University. Series Appl. Math. and Informatics, iss. 1, pp. 240-250,2009. [3] P. M. Naghdi, “The Theory of Shells and Plates,” Handbuch der Physik Berlin-Heidelberg-New York: Springer, vol. VIa2, pp. 425–640, 1972. [4] Ya. S. Podstrigach, and R. N. Shvets, Thermoelasticity of thin shells. K.: Naukova dumkа, 1978. [5] P. P. Vahin, R. B. Malets, and H. A. Shynkarenko, “Variational formulation of the problem of nonstationary thermo-elasticity for thin shells compliant to shears and compression,” J. Math. Sci., no. 3, pp. 345–364,2016. [6] R. Malets, and H. Shynkarenko, “Construction and analyse one-step integration time scheme for problem of thermoelastic shells compliant to shear and compression,” Applied radioelectronics, vol. 14, no 2, pp. 176-184, 2015. [7] J. Necas, and I. Hlavacek, Mathematical Theory of Elasticity and Elastic-Plasstic Bodies: An Introduction. Amsterdam:Elsevier, 1981. [8] V. Stelmashchuk, and H. Shynkarenko, “Finite Element Analysis of Green-Lindsay Thermopiezoelectricity Time Harmonic Problem,” Visnyk of the Lviv University. Series Appl. Math. and Informatics, iss. 25, pp. 136–147, 2017. [9] Ya. G. Savula, and N. P. Fleishman, Calculation and optimization of shells with carved median surfaces. Lviv: Vishcha School, 1989.. |
| References (International): | [1] R. Malets, and H. Shynkarenko, "Modeling and solvability of the variational problem of thermo-elastic thin shells, compliant to shear and compression," Manufacturing Processes. Actual Problems, Basic Science Applications. Opole: Politechnika Opolska, vol.1, pp. 103-121, 2014. [2] R. B. Malets, "Modeling of heat conduction processes in a thin threedimensional layer," Visnyk of the Lviv University. Series Appl. Math. and Informatics, iss. 1, pp. 240-250,2009. [3] P. M. Naghdi, "The Theory of Shells and Plates," Handbuch der Physik Berlin-Heidelberg-New York: Springer, vol. VIa2, pp. 425–640, 1972. [4] Ya. S. Podstrigach, and R. N. Shvets, Thermoelasticity of thin shells. K., Naukova dumka, 1978. [5] P. P. Vahin, R. B. Malets, and H. A. Shynkarenko, "Variational formulation of the problem of nonstationary thermo-elasticity for thin shells compliant to shears and compression," J. Math. Sci., no. 3, pp. 345–364,2016. [6] R. Malets, and H. Shynkarenko, "Construction and analyse one-step integration time scheme for problem of thermoelastic shells compliant to shear and compression," Applied radioelectronics, vol. 14, no 2, pp. 176-184, 2015. [7] J. Necas, and I. Hlavacek, Mathematical Theory of Elasticity and Elastic-Plasstic Bodies: An Introduction. Amsterdam:Elsevier, 1981. [8] V. Stelmashchuk, and H. Shynkarenko, "Finite Element Analysis of Green-Lindsay Thermopiezoelectricity Time Harmonic Problem," Visnyk of the Lviv University. Series Appl. Math. and Informatics, iss. 25, pp. 136–147, 2017. [9] Ya. G. Savula, and N. P. Fleishman, Calculation and optimization of shells with carved median surfaces. Lviv: Vishcha School, 1989.. |
| Content type: | Conference Abstract |
| Appears in Collections: | Data stream mining and processing : proceedings of the IEEE second international conference |
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2018_Malets_R-Modeling_of_Thermoviscoelasticity_259-264.pdf | 534.37 kB | Adobe PDF | View/Open | |
| 2018_Malets_R-Modeling_of_Thermoviscoelasticity_259-264__COVER.png | 443.99 kB | image/png | View/Open |
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