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Effect of rotation in an orthotropic elastic slab

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Języki publikacji
EN
Abstrakty
EN
The fundamental equations of the two dimensional generalized thermoelasticity (L-S model) with one relaxation time parameter in orthotropic elastic slab has been considered under effect of rotation. The normal mode analysis is used to the basic equations of motion and heat conduction equation. Finally, the resulting equations are written in the form of a vector-matrix differential equation which is then solved by the eigenvalue approach. The field variables in the space time domain are obtained numerically. The results corresponding to the cases of conventional thermoelasticity CTE), extended thermoelasticity (ETE) and temperature rate dependent thermoelasticity (TRDTE) are compared by means of graphs.
Rocznik
Strony
163--174
Opis fizyczny
Bibliogr. 16 poz., wykr.
Twórcy
autor
  • Department of Mathematics Gargi Memorial Institute of Technology Kolkata-700144, INDIA
autor
  • Department of Mathematics, Jadavpur University Kolkata-700032, INDIA
autor
  • Department of Mathematics Brainware Group of Institutions Barasat- 700127, INDIA
Bibliografia
  • [1] Bachher M., Sarkar N. and Lahiri A. (2015): Fractional order thermoelastic interactions in an infinite porous material due to distributed time-dependent heat sources. Meccanica, vol.50, pp.2167-2178.
  • [2] Biot M.A.(1956): Thermoelasticity and irreversible thermodynamics. J. Appl. Phys., vol.27, pp.240-253.
  • [3] Das B. and Lahiri A. (2015): Generalized magnetothermoelasticity for isotropic media. Journal of Thermal Stresses, vol.38, No.2, pp.210-228.
  • [4] Das N.C., Lahiri A. and Giri R.R. (1997): Eigenvalue approach to generalized thermoelasticity. Indian J. Pure Appl. Math., vol.28, No.12, pp.1573-1594.
  • [5] Dhaliwal R.S. and Sherief H.H. (1980): Generalized thermoelasticity for anisotropic media. Quart. Appl. Math., vol.33, pp.1-8.
  • [6] Green A.E. and Lindsay K.A. (1972): Thermoelasticity. Journal of Elasticity, vol.2, pp.1-7.
  • [7] Ignaczak J. (1979): Uniqueness in generalized thermoelasicity. Journal of Thermal Stresses, vol.2, pp.171-175.
  • [8] Ignaczak J. (1982): Uniqueness in generalized thermoelasicity with one relaxation time. Journal of Thermal Stresses, vol.5, pp.275-263.
  • [9] Kar A. and Kanoria M. (2006): Thermoelastic interaction with energy dissipation in an infinitely extended thin plate containing a circular hole. Far East J. Appl. Math., vol.24, pp.201-217.
  • [10] Lord H.W. and Shulman Y. (1967): A generalized dynamic theory of thermoelasticity. J. Mech. Phys. Solids, vol.15, pp.299-309.
  • [11] Sherief H.H. (1987): On uniqueness and stablity in generalized thermoelasticity. Quart Appl. Math. (USA), vol.44, pp.773-778.
  • [12] Sherief H.H. (1986): Fundamental solution of the generalized thermoelastic problem for the short times. Journal of Thermal Stresses, vol.9, pp.151-164.
  • [13] Sherief H.H. and Anwar M.N. (1986): Problems in generalized thermoelasticity. Journal of Thermal Stresses, vol.9, pp.165-181.
  • [14] Sherief H.H. and Dhaliwal R.S. (1980): A uniqueness theorem and a varational principle for generalized thermoelasticity. Journal of Thermal Stresses, vol.3, pp.223-230.
  • [15] Tauchert T.R. and Akoz A.Y. (1974): Thermal stresses in an orthotropic elastic slab due to prescribed surfach temperature. J. Appl. Mech., vol.41 (Series E), pp.222-228.
  • [16] Dhaliwal R.S. and Singh A. (1980): Dynamic Coupled Thermoelasticity. Hindustan Publ., Delhi.
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ad192f11-f551-45db-b69d-f2430ece001f
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