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The effect of thermal relaxation times on wave propagation of a micropolar thermoelastic medium with voids due to various sources

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Abstrakty
EN
A model of the equations of a two-dimensional problem with the deformation of a micropolar generalized thermoelastic medium with voids under the influence of various sources is formulated in the context of the Lord-Shulman, Green-Lindsay theories, as well as the classical dynamical coupled theory. The normal mode analysis is used to obtain the exact expressions of the displacement components, force stress, coupled stress, change in volume fraction field and temperature distribution. Numerical results are given and illustrated graphically when the volume source is applied. Comparisons are made with the results predicted by the three theories in the presence and absence of material constants due to voids.
Rocznik
Strony
791--807
Opis fizyczny
Bibliogr. 30 poz., wykr.
Twórcy
autor
  • Department of Mathematics, Faculty of Science Zagazig University P.O. Box 44519, Zagazig, EGYPT, m_i_othman@yahoo.com
Bibliografia
  • Biot M. (1956): Thermoelasticity and irreversible thermodynamics. - J. Appl. Phys., vol.27, pp.240-253.
  • Chandrasekharaiah D.S. (1987): Effects of surface stresses and voids on Rayleigh waves in elastic solid. - International Journal of Engineering Science, vol.25, pp.205-211.
  • Chandrasekharaiah D.S. (1989): Complete solution in the theory of elastic materials with voids II. - Q. J. Mech. Appl. Math, vol.42, pp.41-54.
  • Cowin S.C. (1984): The stress around a hole in a linear elastic material with void. - Q. J. Mech. Appl. Math, vol.37, pp.441-465.
  • Cowin S.C. (1985): The viscoelastic behaviour of linear elastic materials with voids. - Journal of Elasticity, vol.15, pp.185-191.
  • Cowin S.C. and Nunziato J.W. (1983): Linear elastic materials with voids. - Journal of Elasticity, vol.13 , pp.125-147.
  • Dey S. and Gupta S. (1987): Longitudinal and shear waves in an elastic medium with void pores. - Proc. Indian Natl. Sci. Acad. A, vol.53, pp.554-563.
  • Dhaliwal R.S. and Singh A. (1987): Micropolar thermoelasticity. in: R. Hetnarski (Ed.). - Thermal Stresses II, Mechanical and Mathematical Methods, ser. 2, Noth-Holland.
  • Dhaliwal R.S. and Wang Jun. (1994): A domain of influence theorem in the linear theory of elastic materials with voids. - International Journal of Engineering Science, vol.32, pp.823-1828.
  • Eringen A.C. (1965): Linear theory of micropolar elasticity. - ONR Technical Report No. 29 (School of Aeronautics, Aeronautics and Engineering Science, Purdue University).
  • Eringen A.C. (1966a): A unified theory of thermomechanical materials. - International Journal of Engineering Science, vol.4, pp.179-202.
  • Eringen A.C. (1966b): Linear theory of micropolar elasticity. - J. Math. Mech., vol.15, pp.909-923.
  • Eringen A.C. (1970): Foundation of micropolar thermoelasticity. - Courses and Lectures No.23, CISM, Udine, Springer Verlag, Vienna and NewYork .
  • Green A.E. and Lindsay K.A. (1972): Thermoelasticity. - Journal of Elasticity, vol.2, pp.1-7.
  • Iesan D. (1985): Shock waves in micropolar elastic materials with voids. - An. St. Univ. Al. I. Cuza' Iasi, vol.31, pp.177-186.
  • Ieasn D. (1986): A theory of thermoelastic materials with voids. - Acta Mechanica, vol.60. pp.67-89.
  • Lord H. and Shulman Y. (1967): A generalized dynamical theory of thermoelasticity. - J. Mech. Phys., vol.15, pp.299-309.
  • Marin M. (1995): The mixed problem in elastostatics of micropolar materials with voids. - An: Stiinf Uni. Ovidivs Constanta Ser. Mat., vol.3, pp.106-117.
  • Marin M. (1998): A temporally evolutionary equation in elasticity of micropolar bodies with voids. - Appl. Math. Phys., vol.60, pp.3-12.
  • Muller M. (1971): The Coldness, a universal function in thermoelastic bodies. - Arch. Rational Mech. Anal., vol.41, pp.319-332.
  • Nowacki W. (1966a): Couple stresses in the theory of thermoalsticity I. - Bull. Acad. Polon. Sci., Ser. Sci. Tech., vol.14, pp.129-138.
  • Nowacki W. (1966b): Couple stresses in the theory of thermoalsticity II. - Bull. Acad. Polon. Sci., Ser. Sci. Tech., vol.14, pp.263-272.
  • Nowacki W. (1966c): Couple stresses in the theory of thermoalsticity III. - Bull. Acad. Polon. Sci., Ser. Sci. Tech., vol.14, pp.801-809.
  • Nowacki W. and Olszak W. (1974): Micropolar thermoelasticity. - CISM Courses and Lectures, No 151, Udine, Springer-Verlag, Vienna.
  • Nunziato J.W. and Cowin S. C. (1979): A nonlinear theory of elastic materials with voids. - Arch. Rat. Mech. Anal., vol.72, pp.175-201.
  • Othman M.I.A. and Singh B. (2007): The effect of rotation on generalized micropolar thermoelasticity for a half-space under five theories. - International Journal of Solids and Structures, vol.44, pp.2748-2762.
  • Puri P. and Cowin S.C. (1985): Plane waves in linear elastic materials with voids. - Journal of Elasticity, vol.15, pp.167-183.
  • Scalia A. (1994): Shock waves in viscoelastic materials with voids. - Wave Motion, vol.19, pp.125-133.
  • Scarpetta E. (1990): On the fundamental solutions in micropolar elasticity with voids. - Acta Mechanica, vol.82, pp.151-158.
  • Tauchert T.R. (1971): Thermal stresses in micropolar elastic solids. - Acta Mechanica, vol.11, pp.155-169.
  • Tauchert T.R., Claus Jr. W.D. and Ariman T. (1968): The linear theory of micropolar thermo elasticity. - International Journal of Engineering Science, vol.8, pp.36-47.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0017-0032
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