PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Eigen value approach to two dimensional problem in generalized magneto micropolar thermoelastic medium with rotation effect

Autorzy
Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this study an eigen value approach has been employed to examine the mechanical force applied along with a transverse magnetic field in a two dimensional generalized magneto micropolar thermoelastic infinite space. Results have been obtained by treating rotational velocity to be invariant. Integral transforms have been applied to solve the system of partial differential equations. Components of displacement, normal stress, tangential couple stress, temperature distribution, electric field and magnetic field have been obtained in the transformed domain. Finally numerical inversion technique has been used to invert the result in the physical domain. Graphical analysis has been done to described the study.
Rocznik
Strony
205--219
Opis fizyczny
Bibliogr. 21 poz., wykr.
Twórcy
autor
  • Department of Mathematics S.G.A.D. Govt. College, Tarn Taran, Punjab, INDIA
autor
  • Department of Mathematics Lovely Professional University, Punjab, INDIA
Bibliografia
  • [1] Baksi A., Bera R. and Debnath L. (2005): A study of magneto-thermo elastic problems with thermal relaxation and heat sources in a three dimensional infinite rotating elastic medium. – Int J. Eng. Sci., vol.43, pp.1419–1434.
  • [2] Banos A. (1956): Normal modes characterizing magneto–elastic plane waves. – Phys. Rev., vol.104, pp.300-305.
  • [3] Chadwick A. (1957): Elastic wave propagation in magnetic field. IX Cong. – Int. Mech. Appl., vol.7, pp.143-158.
  • [4] Eringen A. (1966): Linear theory of micropolar elasticity. – J. Math. Mech., vol.15, pp.909-923.
  • [5] Eringer A. (1984): Plane waves in non local micropolar elasticity. – Int J. Eng. Sci., vol.22, pp.1113-1121.
  • [6] Ezzat M. and Awad E. (2009): Micropolar generalized magneto-thermoelasticity with modified Ohm’s and Fourier’s laws. – J. Math. Appl., vol.353, pp.99-113.
  • [7] Ezzat M. and Bary A. (2009): State space approach of two-temperature magneto-thermoelasticity with thermal relaxation in a medium of perfect conductivity. – Int J. Eng. Sci., vol. 47, pp.618–630.
  • [8] Ezzat M. and Youssef H. (2005): Generalized magneto-thermo-elasticity in perfectly conducting medium. – Int. J. Solids Struct., vol.42, pp.6319-6334.
  • [9] Green A. and Lindsay K. (1972): Thermoelasticities. – J. Elast., vol.2, pp.1-7.
  • [10] He T. and Cao L. (2009): A problem of generalized magneto-thermoelastic thin slim strip subjected to a moving heat source. – Math. Comput. Model., vol.49, pp.1710-1720.
  • [11] Kaliski S. (1968): Thermo–magneto-micro-elasticity. – Bull. Acad. Polon. Sci. Tech., vol.16, No.1, pp.7-12.
  • [12] Kaliski S. and Nowacki W. (1970): Wave–type equations of thermo-magneto-microelasticity (Thermomagnetomicroelasticity wave equations of heat conduction for thermal and coupled peturbations propagating in isotropic medium at finite velocities). – Bull. Acad. Polon. Sci. Tech, vol.18, No.4, pp.155.
  • [13] Knopoff L. (1955): The interaction between the elastic motions and the magnetic field in electrical conductors. – J. Geophys. Res., vol.60, pp.441-455.
  • [14] Kumar R. and Rupender (2009): Effect of rotation in magneto-micropolar thermoelastic medium due to mechanical and thermal sources. – Chaos, Solitons and Fractals, vol.41, pp.1619-1633.
  • [15] Lord H. and Shulman Y. (1967): A generalized dynamical theory of thermo elasticity. – Journal of the Mechanics and Physics of Solids, vol.15, pp.299-309.
  • [16] Nowacki W. (1971): Two dimensional problem of magnetoelasticity. – Bull. Acad. Polon. Sci. Tech., vol.19, vol.4, pp.307-311.
  • [17] Paria G. (1962): On magneto-thermo-elastic plane waves. – Proc. Cambridge Philos. Soc., vol.58, pp.527-531.
  • [18] Purshothama C. (1966): Propagation of small disturbances to magneto-elastics. – Proc. Indian Acad. Sci. A., vol.63, pp.53-64.
  • [19] Singh R. and Kumar V. (2011): Thermo-mechanical deformation in magneto micropolar thermoelastic medium with modified Fourier and Ohm’s law. – Int. J. Appl. Mech. Eng., vol.16, No.1, pp.83-105.
  • [20] Singh R., Kulwant S. and Kumar V. (2011): Response due to mechanical and thermal sources in micropolar generalized thermoelastic medium. – Int. J. Appl. Mech. Eng., vol.16, No.1, pp.107-128.
  • [21] Youssef H. (2006): Generalized magneto-thermoelasticity in a conducting medium with variable material properties. – Appl. Math. Computation, vol.173, pp.822–833.
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-50327d29-74f4-47aa-81c8-5ff5973f293f
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.