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Elastodynamics of an axisymmetric problem in microstretch viscoelastic solid

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Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
An eigen value approach, following Laplace and Hankel transforms, has been employed to find the general solution to the field equations in a microstretch viscoelastic medium for an axisymmetric problem. An application of an infinite space with a concentrated force at the origin has been presented 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 displacement, normal force stress, tangential force stress, tangential couple stress and microstress components have been obtained numerically and illustrated graphically to depict the effects of stretch and viscosity. Special cases of microstretch elastic solid and micropolar elastic solid have also been deduced.
Rocznik
Strony
227--244
Opis fizyczny
Bibliogr. 22 poz., wykr.
Twórcy
autor
  • Department of Mathematics K.U., Kurukshetra, Haryana 136119, INDIA
autor
  • Department of Mathematics, S.G.A.D. Govt. College Tarn Taran, Amritsar
Bibliografia
  • [1] Ahmed S. and Karamany E. (2003): Uniqueness and reciprocity theorems in generalized linear micropolar thermoviscoelasticity. - Int. J. Eng. Sci., vol.40, pp.2097-2117.
  • [2] Biswas P.K. Sengupta P.R. and Debnath L. (1996): Axisymmetric Lamb's problem in a semi-infinity micropolar viscoelastic medium. - Int. Math. Math. Sci., vol.19, pp.815-820.
  • [3] De Cicco S. and Nappa L. (1998): On Saint Venant's principle for micropolar viscoelastic bodies. - Bit. J. Eng. Sci., vol.36, pp.883-893.
  • [4] De Cicco S. (2003): Stress concentration effect in microstretch. elastic bodies. - Int. J. Eng. Sci., vol.41, pp.l87-199.
  • [5] Eringen A.C. (1966a): Linear theory of micropolar elasticity. - J. Math. Mech., vol.15. pp.909-923.
  • [6] Eringen A.C. (l966b): Theory of micropolar fluids. - J. Math. Mech., vol.l6, pp.l-18.
  • [7] Eringen A.C. (1967): Linear theory of micropolar viscoelasticity. - Int. J. Eng. Sci., vol.5, pp.191-729.
  • [8] Eringen A.C. (1971): Micropolar elastic solids with stretch. - Air Kitabevi Matbassi., vol.24, pp.l-18.
  • [9] Eringen A.C. (1976): Non-local polar fluid theories (A.C. Eringen, Ed.). - Continmim Physics, New York Academic Press, vol.4, pp.205-267.
  • [10] Eringen A.C. (1990): Theory of thermo-microstretch elastic solids. - Int. J. Eng. Sci., vol.28, pp.1291-1301.
  • [11] Honig G. and Hirdes U. (1984): A method for the numerical inversion of the Laplace transforms. - J. Comp. Appl. Math., vol.l0, pp.113-132.
  • [12] Iesan D. and Nappa L. (1994): Saint- Yenant's problem for the microstretch elastic solids. - Int. J. Eng. Sci., vol.32, pp.229-236.
  • [13] Iesan D. and Nappa L. (1995): Extension and bending of microstretch elastic circular cylinders. - Int. J. Eng. Sci., vol.33, pp.1139-1151.
  • [14] Iesan D. and Quintanilla R. (1994): Existence and continuous dependence results in the theory of microstretch elastic bodies. - Int. J. Eng. Sci., vol.32, pp.991-1001.
  • [15] Iesan D. and Pompei A. (1995): On the equilibrium theory of the microstretch elastic solids. - Int. J. Eng. Sci., vol.33, pp.399-410.
  • [16] Iesan D. and Scalia A. (2003): On complex potentials in the theory of microstretch elastic bodies. - Int. J. Eng. Sci., vol.41, pp.1989-2003.
  • [17] Kumar R. and Choudhary S. (2001): Dynamical problem of micropolar viscoelasticity. - Proc. Indian Acad. Sci. (Earth Planet. Sci.). vol.110, pp.215-223.
  • [18] Kumar R. and Singh B. (2000): Reflection of plane waves at a planar viscoelastic micropolar interface. - Indian J. Pure Appl. Math., vol.31, pp.287-303.
  • [19] Mahalabanabis R.K. and Manna J. (1997): Eigen value approach to the problem of linear micropolar thermoelasticity. - J. Indiait Acad. Math., vol.l9, pp.69-86.
  • [20] Press W.H., Teukolsky S.A., Vellering W.T. and Flarmery B.P. (1986): Numerical Recipes in FORTRAN. - Cambridge: Cambridge University Press (Second edition).
  • [21] Sharma J.N. and Chand D. (2003): On the axisymmetric and plane strain problems of generalized theroelasticity. - Int. J. Eng. Sci., vol.41, pp. 1989-2003.
  • [22] Voigt W. (1987): Theoretische studien uber die elasticitats verhaltnisse der Krystalle. - Braunschweig, Abh. Wiss. Ges. Gottingen, vol.34, pp.3-51.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0013-0054
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