The effect of gravity and diffusion on micropolar thermoelasticity with temperature-dependent elastic medium under G-N theory

• Autorzy: Othman M. I. A. , Hilal M. I. M. , Elmaklizi Y. D.
• Języki publikacji: EN

Abstrakty

EN

This article studies the effect of the gravity field and the diffusion on micropolar thermoelastic medium with dependence on the temperature properties. The analytic method used to obtain the exact formula of the physical quantities was the normal mode analysis. The comparisons established graphically in the presence and the absence of the gravity, the temperature-dependent properties, the diffusion and the micropolar in the context of two types of Green-Naghdi (G-N) theory II and III.

Słowa kluczowe

EN

diffusion; gravity; Green-Naghdi; micropolar thermoelasticity; temperature-dependent

PL

dyfuzja; grawitacja; Green-Naghdi; termosprężystość mikropolarna; zależność temperaturowa

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2017
• Tom: Vol. 21, nr 3
• Strony: 657--677
• Opis fizyczny: Bibliogr. 28 poz., wykr.

Twórcy

autor

Othman M. I. A.

• Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Egypt
• Taif University, P.O. 888, Taif, Saudi Arabia

autor

Hilal M. I. M.

• Department of Basic Sciences, Faculty of Engineering Sciences, Sinai University, El-Arish, Egypt

autor

Elmaklizi Y. D.

• Department of Mathematics, Faculty of Science, Suez Canal University, Ismailia, Egypt

Bibliografia

• [1] Biot, M. A.: Thermoelasticity and irreversible thermodynamics, J. Appl. Phys., 27, 240-253, 1956.
• [2] Lord, H. W. and Shulman, Y.: A generalized dynamical theory of thermoelasticity, J. Mech. and Phys. of Solids, 15, 299-309, 1967.
• [3] Green, A. E. and Lindsay, K. A.: Thermoelasticity, J. Elasticity, 2, 1-7, 1972.
• [4] Green A. E. and Naghdi P.M.: A re-examination of the basic postulates of thermomechanics, Proceeding of the Royal Society CityplaceLondon A 432, 1991, 171-194.
• [5] Green A. E. and Naghdi P. M.: On undamped heat waves in an elastic solid, J. Thermal Stresses, 15, 253-264, 1992.
• [6] Green A. E. and Naghdi P. M.: Thermoelasticity without energy dissipation, J. Elasticity, 31, 189-208, 1993.
• [7] Eringen, A. C.: Linear theory of micropolar elasticity, J. Appl. Math. and Mech., 15, 909-924, 1966.
• [8] Smith A. C.: Waves in micropolar elastic solids, Int. J. Eng. Sci., 5, 741-746, 1967.
• [9] Parfitt, V. R. and Eringen, A. C.: Reflection of plane waves from a flat boundary of a micropolar elastic half-space, The Journal of Acoustical Society of America, 45, 1258-1272, 1971.
• [10] Ariman, T.: Wave propagation in a micropolar elastic half-space, Acta Mechanica, 13, 11-20, 1972.
• [11] Eringen, A.C.: Microcontinuum field theory I: Foundations and solids, Springer-Verlag, Berlin, 1999.
• [12] Othman, M. I. A., Tantawi, R. S. and Hilal, M. I. M.: Effect of initial stress and the gravity field on micropolar thermoelastic solid with microtemperatures, J. Theor. and Appl. Mech., 54, 3, 847-857, 2016.
• [13] Othman, M. I. A., Tantawi, R. S. and Hilal, M. I. M.: Rotation and modified Ohm’s law influence on magneto-thermoelastic micropolar material with microtemperatures, Appl. Math. and Comp., 276, 5, 468-480, 2016.
• [14] Othman, M. I. A., Tantawi, R. S. and Hilal, M. I. M.: Hall current and gravity effect on magneto-micropolar thermoelastic medium with microtemperatures, J. Thermal Stresses, 39, 7, 751-771, 2016.
• [15] Nowacki, W.: Dynamical problems of thermodiffusion in solids I, Bull. Acad. Pol. Sci., Ser. Sci. Tech., 22, 1974, 55- 64.
• [16] Nowacki, W.: Dynamical problems of thermodiffusion in solids II, Bull. Acad. Pol. Sci., Ser. Sci. Tech., 22, 129-135, 1974.
• [17] Nowacki, W.: Dynamical problems of thermodiffusion in solids III, Bull. Acad. Pol. Sci., Ser. Sci. Tech., 22, 257-266, 1974.
• [18] Nowacki, W.: Dynamical problems of thermodiffusion in elastic solids, Proc. Vib. Prob., 15, 105-128, 1974.
• [19] Bromwich, T. J.: On the influence of gravity on elastic waves and in particular on the vibrations of an elastic globe, Proc. of the CityplaceLondon Mathematical Society, 30, 98-120, 1898.
• [20] Love A. E. H.: Some problems of geodynamics, Cambridge University Press, London, 1965.
• [21] Sezawa, K.: Dispersion of elastic waves propagated on the surface of stratified bodies and on curved surfaces, Bull Earthquak Resear Institut Tokyo, 3, 1-18, 1927.
• [22] Othman, M. I. A, Elmaklizi, J. D. and Said, S. M.: Generalized thermoelastic medium with temperature dependent properties for different theories under the effect of gravity field, Int. J. Thermophysics, 34, 521-537, 2013.
• [23] Othman, M. I. A, Zidan, M. E. M. and Hilal, M. I. M.: The influence of gravitational field and rotation on thermoelastic solid with voids under Green-Naghdi theory, J. Phys., 2, 22-34, 2013.
• [24] Othman, M. I. A., Zidan, M. E. M. and Hilal, M. I. M.: Effect of gravitational field and temperature dependent properties on two-temperature thermoelastic medium with voids under G-N theory, Computers, Materials & Continua, 40, 179-201, 2014.
• [25] Othman, M. I. A. and Hilal, M. I. M.: Rotation and gravitational field effect on two- temperature thermoelastic material with voids and temperature dependent properties type III, J. Mech. Sci. & Tech., 29, 3739-3746, 2015.
• [26] Elmaklizi, J. D. and Othman, M. I. A.: The effect of rotation on a thermoelastic diffusion with temperature-dependent elastic moduli comparison of different theories, J. Thermoelasticity, 1, 6-15, 2013.
• [27] Othman, M. I. A. and Elmaklizi, J. D.: 2-D problem of generalized magnetothermoelastic diffusion with temperature dependent elastic moduli, J. Phys, 2, 4-11, 2013.
• [28] Eringen, A. C.: Plane wave in nonlocal micropolar elasticity, Int. J. Eng. Sci., 22, 1113-1121, 1984.