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Elastodynamic response of various sources in micropolar thermodiffusive elastic medium

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PL
Abstrakty
EN
A general solution to the field equations of a micropolar thermodiffusive elastic solid are obtained in the transformed form, using the Laplace and Fourier transform techniques. The deformation due to various sources has been investigated. As an application, concentrated and distributed sources are taken to show the utility of the approach. The transformed solutions are inverted using a numerical inversion technique to invert the Laplace and Fourier transforms. The components of stress, temperature distribution and chemical potential distribution are obtained numerically and discussed graphically to depict the effects of micropolarity and diffusion.
Rocznik
Strony
63--98
Opis fizyczny
Bibliogr. 23 poz., wykr.
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autor
autor
autor
Bibliografia
  • Aouadi M. (2006): A generalized thermoelastic diffusion problem for an infinitely long solid cylinder. - Int. J. of Mathematics and Mathematical Sciences Article ID 25976, !5 pages.
  • Aouadi M. (2007): A problem for an infinite elastic body with a spherical cavity in the theory of generalized thermoelastic diffusion. - Int. J. Solids Struct., vol.44, pp.5711-5722.
  • Eringen A.C. (1968): Theory of micropolar elasticity. - In Fractuce, ed H. Lieboneitz vol.5. Academic Press, New York
  • Eringen A.C. Balance laws of micromorphic continua-I. - Int. J of Engineering Science, vol.30, pp.805-810.
  • Eringen A.C. (1999): Microcontinum Field Theories-I. - NewYork: Foundations and Solids, Springer Verlag.
  • Eringen A.C. (2001): Microcontinum Field Theories-II. - NewYork: Fluent Media, Spinger-Verlag.
  • Eringen A.C. and Nowacki W. (1971): Theory of Asymmetric Elasticity. - Warsaw: Polish Scientific Pulisher.
  • Eringen A.C. (1984): Plane waves in non-local micropolar elasticity. - Int. J. Eng. Sci., vol.22, pp.1113-1121.
  • Dyszlewicz J. (2003): Micropolar Theory of Elasticity. - Lecture Notes in Applied and Computational Mechanics.
  • Kumar R. and Ailawalia P. (2005): Elastodynamics of inclined loads in a micropolar cubic crystal. - Mechanics and Mechanical Eng., vol.9, No.2, pp.57-75.
  • Kumar R. and Deswal S. (2001): Mechaincal and thermal sources in a micropolar generalized thermoelastic medium. - J. of Sound and Vibration, vol.239, No.3, pp.467-488.
  • Maugin G.A and Mild (1986): Solitary waves in micropolar elastic crystals. - Int. J of Engineering Sciences, vol.24, pp.1474-1481.
  • Nowacki W. (1974a): Dynamical problems of thermo diffusion in solids I. - Bull. Acad. Pol. Sci. Ser. Sci, Tech., vol.22, pp.55-64.
  • Nowacki W. (1974b): Dynamical problems of thermo diffusion in solids II. - Bull Acad. Pol. Sci. Ser. Sci, Tech. vol.22, pp.129-135.
  • Nowacki W. (1974c): Dynamical problems of thermo diffusion in solids III. - Bull. Acad. Pol. Sci. Ser. Sci., Tech., vol.22, pp.257-266.
  • Nowacki W. (1976): Dynamical problems of thermo diffusion in solids. - Eng. Frac. Mech., vol.8, pp.261-266.
  • Olesiak Z.S. and Pyryev Y.A. (1995): A coupled quasi-stationary problem of thermodiffusion for an elastic cylinder. - Int. J. Eng. Sci., vol.33, pp.773-780.
  • Sharma N., Ram P. and Kumar R. (2008): Plane strain deformation in generalized thermoelastic diffusion. - Int. J. of Thermophysics, vol.29, pp.1503-1522.
  • Sherief H.H., Saleh H. and Hamza F. (2004): The theory of generalized thermoelastic diffusion. - Int. J. Eng. Sci., vol.42, pp.591-608.
  • Sherief H.H. Saleh H. (2005): A half- space problem in the theory of generalized thermoelastic diffusion. - Int. J of Solid and Structures, vol.42, pp.4484-4493.
  • Singh B. (2005): Reflection of P and SV waves from free surface of an elastic solid with generalized thermodiffusion. - J. Earth Syst. Sci., vol.114, No.2, pp.159-168.
  • Singh B. (2005): Reflection of SV waves from free surface of an elastic solid with generalized thermoelastic diffusion. - J. of Earth and System and Sciences, vol.114, No.2, pp.159-168.
  • Thomas L. (1980): Fundamental of heat transfer. - New Jersey: Prentice Hall Inc-Englewmd Diffs.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0003-0024
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