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Anti-plane strain problem of micropolar viscoelastic medium

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Języki publikacji
EN
Abstrakty
EN
The eigen value approach, following Laplace and Fourier transforms, has been employed to find the general solution to the field equation in a micropolar viscoelasitc medium for the anti- plane strain problem. An infinite space with concentrated force at the origin has been applied to illustrate the application of the approach. The integral transforms have been inverted by using a numerical inversion technique to get the results in the physical domain. The results in the form of normal microrotation, tangential displacement, tangential force stress and normal couple stress components have been obtained numerically and illustrated graphically to depict the effects of viscosity. A particular case of a micropolar elastic solid has also been deduced.
Rocznik
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175--191
Opis fizyczny
Bibliogr. 16 poz., wykr.
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Bibliografia
  • Biswas P.K., Sengupta P.R. and Debnath L. (1996): Axisymmetric Lamb' s Problem in a semi- infinite micropolar viscoelastic medium. - Int. J. Math. Math .Sci., vol.19, pp.815-820.
  • Cheng Z.-Q. and He L.-H. (1995): Micropolar elastic field due to a spherical inclusion. - Int. J. Eng. Sci., vol.33, pp.389-397.
  • Cheng Z.-Q. and He L.-H. (1999): Micropolar elastic field due to a circular inclusion. - Int. J. Eng. Sci., vol.35, pp.659-668.
  • De Cicco S. and Nappa L. (1999): On Saint Venant's principal for micropolar viscoelastic bodies. - Internat. J. Math. Math. Sci., vol.37, pp.883-893.
  • El-Karmany, Ahmed S. (2004): Boundary integral equation formulation for generalized micropolar thermovisecoelasticity. - Int. J. Eng. Sci., vol.42, pp.157-186.
  • Eringen A.C. (1966a): Linear theory of micropolar elasticity. - J. Math. Math., vol.15, pp.909-924.
  • Eringen A.C. (1966b): Theory of micropolar fluids. - J. Math. Mech., vol.16, pp.1-18.
  • Eringen A.C. (1967): Linear theory of micropolar viscoelasticity. - Int. J. Eng. Sci., vol.5, pp.191-729.
  • Eringen A.C. (1976): Non-local polar field theories. In: Continuum Physics (ed) A.C. Eringen. - Vol.4 (New York, Academic Press) pp.205-267.
  • Gauthier R.D. (1982): Mechanics of micropolar media. In: Experimental Investigations on Micropolar Media. O Brulin and RK Hseieh (ed.). - Singapore: World Scientific.
  • Honig G. and Hirdes U. (1984): A method for the numerical inversion of the Laplace transforms. - J. Comp. Appl. Math., vol.10, pp.113-132.
  • Kumar R. and Choudhary S. (2003): Eigen value approach to a micropolar viscoelastic medium. - Proc. Nat. Acad. Sci., vol.73(A), pp.479-495.
  • Kumar R., Singh R. and Chadha T.K. (2001): Eigen value approach to micropolar medium due to impulsive force at the origin. - Indian J. Pure Appl. Math., vol.32, pp.1127-1144.
  • Nappa L. (1996): Decay estimates for micropolar elastic cylinders. - Int. J. Eng. Sci., vol.34, pp.1601-1609.
  • Press W.H., Teukolsky S.A., Vellerling W.T. and Flannery B.P. (1986): Numerical Recipes in FORTRAN. -Cambridge: University Press, second ed.
  • Singh B. and Kumar R. (1998): Reflection and refraction of plane waves at an interface between micropolar elastic solid and viscoelastic solid. - Int. J. Eng. Sci., vol.36, pp.119-135.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0035-0011
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