Comparative asymptotic analysis of coupled and uncoupled thermoelasticity
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  • 作者:L. A. Agalovyan (1)
    R. S. Gevorgyan (1)
    A. G. Sargsyan (1)
  • 关键词:asymptotic solution ; thermoelasticity ; coupled and uncoupled problems ; comparative analysis
  • 刊名:Mechanics of Solids
  • 出版年:2014
  • 出版时间:July 2014
  • 年:2014
  • 卷:49
  • 期:4
  • 页码:389-402
  • 全文大小:601 KB
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    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, 鈥淎symptotic Solutions of Coupled Dynamic Problems Of Thermoelasticity for Isotropic Plates,鈥?Prikl. Mat. Mekh. 72(1), 148鈥?56 (2008) [J. Appl. Math. Mech. (Engl. Transl.) 72 (1), 87鈥?1 (2008)].
    9. Yu. V. Nemirovskii and A. P. Yankovskii, 鈥淎Method of Asymptotic Expansions of the Solutions of the Steady Heat Conduction Problem for Laminated Non-Uniform Anisotropic Plates,鈥?Prikl. Mat. Mekh. 72(1), 157鈥?75 (2008) [J. Appl.Math. Mech. (Engl. Transl.) 72 (1), 92鈥?01 (2008)].
    10. L. A. Agalovyan and R. S. Gevorgyan, 鈥淎symptotic Solutions of Dynamic Problems of Thermoelasticity for a Layered Thin Body of Variable Thickness Consisting of Anisotropic Inhomogeneous Materials,鈥?Izv. NAN RA. Ser. Mekh. 62(3), 17鈥?8 (2009).
    11. L. A. Agalovyan, 鈥淓lastic Boundary Layer for a Class of Plane Problems,鈥?MezhVUZ. Sb. Nauch. Trudov. Mekh. (Izd-vo EGU, Erevan), No. 3, 51鈥?8 (1984).
    12. R. S. Gevorgyan, 鈥淏oundary Layer Asymptotics for a Class of Boundary-Value Problems for Anisotropic Plates,鈥?Izv.Akad. Armyan.SSR. Ser.Mekh. 37(6), 3鈥?5 (1984).
    13. L. A. Agalovyan and L. M. Khalatyan, 鈥淎symptotics of Forced Oscillations of an Orthotropic Strip under Mixed Boundary Conditions,鈥?Dokl. NAN RA 99(4), 315鈥?21 (1999).
    14. L. A. Agalovyan, 鈥淥n the Structure of the Solution of a Class of Plane Elasticity Problems for an Anisotropic Body,鈥?MezhVUZ. Sb. Nauch. Trudov. Mekh. (Izd-vo EGU, Erevan), No. 2, 7鈥?2 (1982).
    15. L. A. Agalovyan and R. S. Gevorgyan, 鈥淎symptotic Solution of the First Boundary-Value Problem of the Theory of Elasticity of the Forced Vibrations of an Isotropic Strip,鈥?Prikl. Mat. Mekh. 72(4), 663鈥?43 (2008) [J. Appl. Math. Mech. (Engl. Transl.) 72 (4), 452鈥?60 (2008)].
    16. L. A. Agalovyan and T. V. Zakaryan, 鈥淥n the Solution of the First Dynamic Spatial Boundary-Value Problem for an Orthotropic Rectangular Plate,鈥?Dokl. NAN RA 109(4), 304鈥?09 (2009)
  • 作者单位:L. A. Agalovyan (1)
    R. S. Gevorgyan (1)
    A. G. Sargsyan (1)

    1. Institute of Mechanics, National Academy of Sciences of the Republic of Armenia, pr-t Marshala Bagramyana 24B, Erevan, 375019, Republic of Armenia
  • ISSN:1934-7936
文摘
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.

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