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Response of thermoelastic interactions in micropolar porous circular plate with three phase lag model

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The present study deals with a homogeneous and isotopic micropolar porous thermoelastic circular plate by employing eigenvalue approach in the three phase lag theory of thermoelasticity due to thermomechanical sources. The expressions of components of displacements, microrotation, volume fraction field, temperature distribution, normal stress, shear stress and couple shear stress are obtained in the transformed domain by employing the Laplace and Hankel transforms. The resulting quantities are obtained in the physical domain by employing the numerical inversion technique. Numerical computations of the resulting quantities are made and presented graphically to show the effects of void, phase lags, relaxation time, with and without energy dissipation.
Rocznik
Strony
999--1014
Opis fizyczny
Bibliogr. 37 poz., wykr.
Twórcy
autor
  • Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India
autor
  • Department of Mathematics, Choudhary Devilal University, Sirsa, Haryana, India
autor
  • Department of Mathematics, Choudhary Devilal University, Sirsa, Haryana, India
Bibliografia
  • [1] Nowacki, W.: Couple stresses in the theory of thermoelasticity, Proceeding of IU-TAM Symposia, Vienna, 1966.
  • [2] Eringen, A.C.: Foundations of micropolar thermoelasticity, Int. Centre Mech. Sci., Udline Course and Lectures 23, Springer-Verlag, Berlin, 1970.
  • [3] Tauchert, T.R., Claus Jr., W.D., and Ariman, T.: The linear theory of micropolar thermoelasticity, Int. J. Engng. Sci., 6, 36-47, 1968.
  • [4] Dost, S., and Taborrok, B.: Generalized micropolar thermoelasticity, Int. J. Engng. Sci., 16, 173-178, 1978.
  • [5] Green, A.E., and Lindsay, K.A.: Thermoelasticity, J. Elasticity, 2, 1-7, 1972.
  • [6] Chandrasekharaiah, D.S.: Heat flux dependent micropolar thermoelasticity, Int. J. Engng. Sci., 24, 1389-1395, 1986.
  • [7] Ciarletta, M.: Theory of micropolar thermoelasticity without energy dissipation, J. Thermal Stresses, 22, 581-594, 1999.
  • [8] Youssef, H. M.: Generalized thermoelasticity of an infinite body with a cylindrical cavity and variable material properties, J. thermal stresses, 28, 521-532, 2005.
  • [9] Kumar, R., Gupta, R.R.: Analysis of wave motion in micropolar transversely isotropic thermoelastic half space without energy dissipation, Int. Multi. Mech., 3, 145-156, 2010.
  • [10] Youssef, H.M.: Generalized thermoelastic infinite medium with spherical cavity subjected to moving heat source, Comput. Math. Model., 21, 212-225, 2010.
  • [11] Passarella, F., and Zampoli, V.: Reciprocal and variational principles in micro-polar thermoelasticity of type II, Acta Mech., 216, 29-36, 2011.
  • [12] Sharma, K., and Marin, M.: Effect of distinct conductive and thermodynamic temperatures on the reection of plane waves in micropolar elastic half space, U. P. B. Sci. Bull., Series A, 75, 121-132, 2013.
  • [13] Kumar, R., and Abbas, I. A.: Deformation due to thermal source in micropolar thermoelastic media with thermal and conductive temperatures, J. Comput. Theor. Nanasci., 10, 2241-2247, 2013.
  • [14] Lord, H. W., and Shulman, Y.: A generalized dynamical theory of thermoelasticity, J. Mech. Phys. Solids, 15, 299-309, 1967.
  • [15] Sharma, K., and Bhargava, R. R.: Propagation of thermoelastic plane waves at an imperfect boundary of thermal conducting viscous liquid/generalized thermoelastic solid, Afr. Mat., 25, 81-102, 2014.
  • [16] Kumar, R., and Kumar, A.: Elastodynamic response of thermal laser pulse in micropolar thermoelastic mass diffusion medium, J. Thermodynamics, 1-9, 2016.
  • [17] Othman, M.I.A., Tantawi, R.S., and Hilal, M.I.M.: Effect of initial stress and gravity field on micropolar thermoelastic solid with microtemperatures, J. Theor. Appl. Mech., 54, 847-857, 2016.
  • [18] Iesan, D.: Shock Waves in Micropoar Elastic Materials with Voids, Analele Stiinfitice Ale Universitatu Alexandru Ioan Cuza, Din Iasi Sectiunea La Matematica, 31, 177-186, 1985.
  • [19] Marin, M.: some basic theorems in elastostatics of micropolar materials with voids, J. Comput. Appl. Math., 70, 115-126, 1996a.
  • [20] Marin, M.: Generalized solutions in elasticity of micropolar bodies with voids, Rev. Acad. Canaria Ciencias, 8, 101-106, 1996b.
  • [21] Kumar, R., and Choudhary, S.: Disturbance due to mechanical sources in micropolar elastic medium with voids, J. Sound Vib., 256, 1-15, 2002.
  • [22] Kumar, R., and Choudhary, S.: Interaction due to mechanical sources in micropolar elastic medium with voids, J. Sound Vib., 266, 889-904, 2003.
  • [23] Ciarletta, M., Svanadze, M., and Buonanno, L.: Plane waves and vibrations in the theory of micropolar thermoelasticity for materials with voids, Euro. J. Mech. Solids, 28, 897-903, 2009.
  • [24] Othman, M.I.A., and Lotfy, Kh.: The effect of thermal relaxation times on wave propagation of micropolar thermoelastic medium with voids due to various sources, Multidisc. Model. Mat. Struct., 6, 214-228, 2010.
  • [25] Lianngenga, R., and Lalawmpuia, Micropolar elasticity containing voids, IJISET - International Journal of Innovative Science, Engng. Techn., 2, 838-844, 2015.
  • [26] Kumar, R., and Abbas, I. A.: Interaction due to various sources in saturated porous media with incompressible fluid, J. Central South Uni., 23, 1232-1242, 2016.
  • [27] Roychoudhuri, S.K.: On a thermoelastic three phase lag model, J. Thermal Stresses, 30, 231-138, 2007.
  • [28] Tzou, D.Y.: A unified approach for heat conduction from macro-to-micro-scales, J. Heat Transfer, 117, 8-16, 1995a.
  • [29] Tzou, D.Y.: The generalized lagging response in small scale and high rate heating, Int. J. Heat Transfer, 38, 3231-3240, 1995b.
  • [30] Kumar, R., and Chawla, V.: Reflection and refraction of plane wave at the interface between elastic and thermoelastic media with three phase lag model, Int. Commun. Heat Mass Trans., 48, 53-60, 2013.
  • [31] El-Karamany, A.S., Ezzat, M.A.: On the three phase lag linear micropolar thermoelasticity theory, Euro. J. Mech., 40, 198-208, 2013.
  • [32] Othman, M.I.A., Hasona, W. M., and Abd-Elaziz, E.: Effect of rotation and initial stress on generalized micropolar thermoelastic medium with three phase lag, J. Comput. Theor. Nanosci., 12, 2030-2040, 2015.
  • [33] Kumar, R., Miglani, A., and Rani, R.: Analysis of micropolar porous thermoelastic circular plate by eigenvalue approach, Arch. Mech., 68, 423-439, 2016.
  • [34] Marin, M., Agarwal, R. P., Codarcea, L.: A mathematical model for three phase lag dipolar thermoelastic bodies, J. Inequ. Appl., 109, 1-16, 2017.
  • [35] Kumar, R., and Partap, G.: Porosity effect on circular crested waves in micropolar thermoelastic homogeneous isotropic plate, Int. J. Appl. Math. Mech., 4, 1-18, 2008.
  • [36] Eringen, A. C.: Plane waves in non local micropolar elasticity, Int. J. Engng. Sci., 22, 1113-1121, 1984.
  • [37] Dhaliwal, R. S., and Singh, A.: Dynamical coupled thermoelasticity, Hindustan Publication Corporation, New Delhi, 1980.
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-a51f564e-d93d-4f24-9b07-26e5fd6a819b
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