 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| L.A. Agalovyan, R.S. Gevorgyan, and A.G. Sargsyan, "Comparative Asymptotic Analysis of Coupled and Uncoupled Thermoelasticity," Mech. Solids. 49 (4), 389-402 (2014) |
| Year |
2014 |
Volume |
49 |
Number |
4 |
Pages |
389-402 |
| DOI |
10.3103/S0025654414040049 |
| Title |
Comparative Asymptotic Analysis of Coupled and Uncoupled Thermoelasticity |
| Author(s) |
L.A. Agalovyan (Institute of Mechanics, National Academy of Sciences of the Republic of Armenia, pr-t Marshala Bagramyana 24B, Erevan, 375019 Republic of Armenia, aghal@mechins.sci.am)
R.S. Gevorgyan (Institute of Mechanics, National Academy of Sciences of the Republic of Armenia, pr-t Marshala Bagramyana 24B, Erevan, 375019 Republic of Armenia, gevorgyanrs@mail.ru)
A.G. Sargsyan (Institute of Mechanics, National Academy of Sciences of the Republic of Armenia, pr-t Marshala Bagramyana 24B, Erevan, 375019 Republic of Armenia, armin.sa@bk.ru) |
| Abstract |
The asymptotic solution of the three-dimensional dynamic of coupled thermoelasticity problem (with the mutual influence of the strain and temperature fields taken into account) for an isotropic rectangular plate is used to perform a comparative analysis of the results obtained according to this theory and the theory of temperature stresses. The parameters whose values affect the applicability of these theories and of the applied theory used to solve quasistatic problems of thermoelasticity are obtained. |
| Keywords |
asymptotic solution, thermoelasticity, coupled and uncoupled problems, comparative analysis |
| References |
| 1. | W. Nowacki,
Dynamic Problems of Thermo elasticity
(PWN, Warszawa, 1966; Mir, Moscow, 1970). |
| 2. | A. D. Kovalenko,
Foundations of Thermoelasticity
(Naukova Dumkla, Kiev, 1970)
[in Russian]. |
| 3. | A. C. Eringen,
Mechanics of Continua
(Huntington, New York, 1980). |
| 4. | S. A. Lychev, A. V. Manzhirov, and S. V. Joubert,
"Closed Solutions of Boundary-Value Problems of Coupled Thermoelasticity,"
Izv. Ross. Nauk. Mekh. Tverd. Tela,
No. 4, 138-154 (2010)
[Mech. Solids (Engl. Transl.)
45 (4), 610-623 (2010)]. |
| 5. | L. A. Agalovyan,
Asymptotic Theory of Anisotropic Plates and Shells
(Nauka, Moscow, 1997)
[in Russian]. |
| 6. | I. E. Zino and E. A. Tropp,
Asymptotic Methods in Problems of Heat Conduction and Thermoelasticity
(Izd-vo LGU, Leningrad, 1978)
[in Russian]. |
| 7. | L. A. Agalovyan and R. S. Gevorgyan,
Nonclassical Boundary-Value Problems of Anisotropic Layered Beams, Plates, and Shells
(Gitutyun NAN RA, Erevan, 2005)
[in Russian]. |
| 8. | R. S. Gevorgyan,
"Asymptotic Solutions of Coupled Dynamic Problems Of Thermoelasticity for Isotropic Plates,"
Prikl. Mat. Mekh.
72 (1), 148-156 (2008)
[J. Appl. Math. Mech. (Engl. Transl.)
72 (1), 87-91 (2008)]. |
| 9. | Yu. V. Nemirovskii and A. P. Yankovskii,
"A Method of Asymptotic Expansions of the Solutions of the Steady Heat Conduction Problem
for Laminated Non-Uniform Anisotropic Plates,"
Prikl. Mat. Mekh.
72 (1), 157-175 (2008)
[J. Appl. Math. Mech. (Engl. Transl.)
72 (1), 92-101 (2008)]. |
| 10. | L. A. Agalovyan and R. S. Gevorgyan,
"Asymptotic Solutions of Dynamic Problems of Thermoelasticity
for a Layered Thin Body of Variable Thickness
Consisting of Anisotropic Inhomogeneous Materials,"
Izv. NAN RA. Ser. Mekh.
62 (3), 17-28 (2009). |
| 11. | L. A. Agalovyan,
"Elastic Boundary Layer for a Class of Plane Problems,"
MezhVUZ. Sb. Nauch. Trudov. Mekh.
(Izd-vo EGU, Erevan),
No. 3, 51-58 (1984). |
| 12. | R. S. Gevorgyan,
"Boundary Layer Asymptotics for a Class of Boundary-Value Problems for Anisotropic Plates,"
Izv. Akad. Armyan. SSR. Ser. Mekh.
37 (6), 3-15 (1984). |
| 13. | L. A. Agalovyan and L. M. Khalatyan,
"Asymptotics of Forced Oscillations of an Orthotropic Strip
under Mixed Boundary Conditions,"
Dokl. NAN RA
99 (4), 315-321 (1999). |
| 14. | L. A. Agalovyan,
"On the Structure of the Solution of a Class of Plane Elasticity Problems
for an Anisotropic Body,"
MezhVUZ. Sb. Nauch. Trudov. Mekh.
(Izd-vo EGU, Erevan),
No. 2, 7-12 (1982). |
| 15. | L. A. Agalovyan and R. S. Gevorgyan,
"Asymptotic Solution of the First Boundary-Value Problem of the Theory
of Elasticity of the Forced Vibrations of an Isotropic Strip,"
Prikl. Mat. Mekh.
72 (4), 663-643 (2008)
[J. Appl. Math. Mech. (Engl. Transl.)
72 (4), 452-460 (2008)]. |
| 16. | L. A. Agalovyan and T. V. Zakaryan,
"On the Solution of the First Dynamic Spatial Boundary-Value Problem
for an Orthotropic Rectangular Plate,"
Dokl. NAN RA
109 (4), 304-309 (2009). |
|
| Received |
24 August 2010 |
| Link to Fulltext |
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