PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Axi-symmetric deformation in the micropolar porous generalized thermoelastic medium

Autorzy
Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
PL
Abstrakty
EN
In the present article we studied the thermodynamical theory of micropolar porous material and derived the equations of the linear theory of microploar porous generalized thermoelastic solid. Then the general solution to the field equations for plane axi-symmetric problem are obtained. The Laplace and Hankel transforms have been employed to study the problem, which are inverted numerically by using numerical inversion technique. An application of normal force and thermal source has been taken to show the utility of the approach. The technique developed in the present paper is simple, straightforward and convenient for numerical computation. Effect of micropolarity and porosity on the components of stress, temperature distribution and volume fraction field together with the effect of generalized theory of thermoelasticity have been depicted graphically for a specific model. Some particular cases are also deduced from the present problem.
Rocznik
Strony
129--139
Opis fizyczny
Bibliogr. 16 poz., rys.
Twórcy
autor
autor
  • Department of Mathematics, Kurukshetra University, Kurukshetra-136 119, India
Bibliografia
  • [1] A.C. Eringen, Mechanics of Micromorphic Continua, IUTAM Symposium, Mechanics of Generalized Continua, pp. 18–35 ed. E. Kroner, Springer-Verlag, Heidelberg, 1968.
  • [2] A.C. Eringen, Theory of Micropolar Elasticity, Chapter 7 of Fracture, Vol II, p. 621, ed. H. Liebowitz, Academic Press, New York, 1968.
  • [3] R.D. Gauthier, “Experimental investigation on micropolar media”, Mechanics of Micropolar Media, CSIM Courses and Lectures 1, 395–463 (1982).
  • [4] S.Y. Hsia and J.W. Cheng, “Longitudinal plane wave propagation in elastic-micropolar media”, Japanese J. Applied Physics 45 (3A), 1743–1748 (2006).
  • [5] S.Y. Hsia, S.M. Chiu, C.C. Su, and T.H. Chen, “Propagation of transverse waves in elastic-micropolar porous semispaces”, Japanese J. Applied Physics 46 (11), 7399–7405 (2007).
  • [6] A.C. Eringen, “Foundations of micropolar thermoelasticity”, CSIM Udine, Course of Lectures 23, CD-ROM (1970).
  • [7] M. Nowacki, “Couple-stresses in the theory of thermoelasticity”, Proc. IUTAM Symposia 1, 259–278 (1966).
  • [8] M.A. Goodman and S.C. Cowin, “A continuum theory for granular material”, Arch. Ration. Mech. Anal. 44, 248–265 (1972).
  • [9] J.W. Nunziato and S.C. Cowin, “A non-linear theory of elastic material with voids”, Arch. Ration. Mech. Anal. 44, 174–200 (1979).
  • [10] S.C. Cowin and J.W. Nunziato, “Linear theory of elastic materials with voids”, J. Elasticity 13, 125–147 (1983).
  • [11] P.S. Casas and R. Quintanilla, “Exponential decay in onedimensional porous-thermoelasticity”, Mechanics Research Communications 32, 625–658 (2005).
  • [12] A. Magana and R. Quintanilla, “On the exponential decay of solutions in one-dimensional generalised porousthermoelasticty”, Asymptotic Analysis 49 (3–4), 173–187 (2006).
  • [13] H.W. Lord and Y. Shulman, “A generalized dynamical theory of thermoelasticity”, J. Mech. Phys. Solids 15, 299–306 (1967).
  • [14] A.E. Green and K.A. Lindsay, “Themoelasticity”, J. Elasticity 2, 1–5 (1972).
  • [15] R. Kumar and S. Deswal, “Axi-symmetric problems in a micropolar generalised thermoelstic half-space”, Int. J. App. Mech. and Eng. 12 (2), 413–429 (2007).
  • [16] A.C. Eringen, “Plane waves in nonlocal micropolar elasticity”, Int. J. Eng. Sci. 22, 1113–1121 (1984).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG8-0020-0014
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.