Presentation of the General Solution of Three-Dimensional Dynamic Equations of a Transversely Isotropic Thermoelastic Medium Full article
| Journal |
Journal of Applied Mechanics and Technical Physics
ISSN: 0021-8944 |
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| Output data | Year: 2019, Volume: 60, Number: 2, Pages: 224-233 Pages count : 10 DOI: 10.1134/s0021894419020044 | ||||
| Tags | Carrier–Gassmann condition; general solutions; plane waves; thermal conductivity; thermoelasticity; transverse isotropy | ||||
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Abstract:
A presentation of the general solution of the equations of dynamics of a transversely isotropic thermoelastic medium is obtained in the case where the Carrier–Gassmann condition is satisfied with due allowance for the additional expression relating the temperature stress coefficients to the elasticity moduli. The displacements are expressed via three resolving potentials satisfying three inhomogeneous quasi-wave equations. The potentials are related by the heat conduction equation. A presentation of the solution with the use of the stress and displacement functions is provided. Two displacement functions are determined by solving the system of two homogeneous equations, which do not involve the temperature. After these displacement functions are determined, the temperature can be found from the third equation. The resultant presentation of the solution also yields the solution of the static equations of thermoelasticity.
Cite:
Annin B.D.
, Ostrosablin N.I.
Presentation of the General Solution of Three-Dimensional Dynamic Equations of a Transversely Isotropic Thermoelastic Medium
Journal of Applied Mechanics and Technical Physics. 2019. V.60. N2. P.224-233. DOI: 10.1134/s0021894419020044 WOS Scopus РИНЦ OpenAlex
Presentation of the General Solution of Three-Dimensional Dynamic Equations of a Transversely Isotropic Thermoelastic Medium
Journal of Applied Mechanics and Technical Physics. 2019. V.60. N2. P.224-233. DOI: 10.1134/s0021894419020044 WOS Scopus РИНЦ OpenAlex
Original:
Аннин Б.Д.
, Остросаблин Н.И.
ПРЕДСТАВЛЕНИЕ ОБЩЕГО РЕШЕНИЯ ТРЕХМЕРНЫХ ДИНАМИЧЕСКИХ УРАВНЕНИЙ ТРАНСВЕРСАЛЬНО-ИЗОТРОПНОЙ ТЕРМОУПРУГОЙ СРЕДЫ
Прикладная механика и техническая физика. 2019. Т.60. №2. С.47-57. DOI: 10.15372/pmtf20190204 РИНЦ OpenAlex
ПРЕДСТАВЛЕНИЕ ОБЩЕГО РЕШЕНИЯ ТРЕХМЕРНЫХ ДИНАМИЧЕСКИХ УРАВНЕНИЙ ТРАНСВЕРСАЛЬНО-ИЗОТРОПНОЙ ТЕРМОУПРУГОЙ СРЕДЫ
Прикладная механика и техническая физика. 2019. Т.60. №2. С.47-57. DOI: 10.15372/pmtf20190204 РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000470672500004 |
| Scopus: | 2-s2.0-85066477996 |
| Elibrary: | 38234560 |
| OpenAlex: | W2948676478 |
Citing:
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