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Abstrakty
The disturbance due to mechanical and thermal sources in a homogeneous isotropic micropolar generalized thermoelastic half space is investigated by the use of Laplace-Hankel transform techniques. The integral transforms are inverted by using a numerical technique. The displacement components, temperature field, normal and tangential stresses are obtained in the physical domain for Lord-Shulman (L-S), Green-Lindsay (G-L) and Green-Naghdi (G-N) theońes of micropolar generalized thermoelasticity and are shown graphically for magnesium crystal like material.
Rocznik
Tom
Strony
413--429
Opis fizyczny
Bibliogr. 20 poz., wykr.
Twórcy
autor
autor
- Department of Mathematics, Kurukshetra University Kurukshetra - 136 119, Haryana, INDIA, spannu_gju@yahoo.com
Bibliografia
- Chandrasekharaiah D.S. (1986): Thermoelasticity with second sound, A review. - Applied Mech. Reviews, vol.39, pp.355-376.
- Dhaliwal R.S. (1971): The steady-state axisymmetric problem of micropolar thermoelasticity. - Archives of Mechanics, vol.23 , pp.705-714.
- Eringen A.C. (1970): Foundation of micropolar thermoelasticity, Course of lectures no. 23. - CISM Udine, Springer.
- Eringen A.C. (1984): Plane waves in non local micropolar elasticity. - Int. J. Eng. Sci., vol.22, pp.1113-1121.
- Green A.E. and Lindsay K.A. (1972): Thermoelasticity. - J. Elasticity, vol.2, pp.1-5.
- Green A.E. and Naghdi P.M. (1991): A re-examination of the basic postulate of. - Proc. Roy Soc. London Ser., vol.A 32, pp.171-194.
- Green A.E. and Naghdi P.M. (1992): On undamped heat waves in an elastic solid. - J. of Thermal Stresses, vol.15, pp.253-264.
- Green A.E. and Naghdi P.M. (1993): Thermoelasticity without energy dissipation. - J. Elasticity, vol.31, pp.189-208.
- Honig G. and Hirdes V. (1984): A method for the numerical inversion of the Laplace transform. - J. Comp. Appl. Math., vol.10, pp.113-132.
- Kumar R., Chadha T.K. and Debnath L. (1987): Lamb's plane problem in micropolar thermoelastic medium with stretch. - Int. J. Math. and Math. Sci., vol.10, pp.187-198.
- Kumar R. and Singh B. (1996): Wave propagation in a micropolar generalized thermoelastic body with stretch. - Proc. Indian Acad. Science (Math. Sci.), vol.106, pp.183-189.
- Kumar R. and Deswal S. (2000): Steady-state response of a micropolar generalized thermoelastic half space to the moving mechanical/thermal loads. - Proc. Indian Acad. Science, vol.110, pp.449-465.
- Kumar R. and Choudhary S. (2002): Mechanical sources in micropolar elastic medium. - Bull. Cal. Math. Soc., vol.94, pp.271-280.
- Kumar R. and Deswal S. (2003): Surface wave propagation through a cylindrical bore in a micropolar generalized thermoelastic medium without energy dissipation. - Proc. Nat. Acad. Sci., vol.73, pp.315-327.
- Lord H.W. and Shulman Y. (1967): A generalized dynamical theory of thermoelasticity. - J. Mech. Phys. Solid, vol.15, pp.299-306.
- Nowacki W. (1966): Couple stresses in the theory of thermoelasticity. - Proc. IUTAM Symposia, Vienna, Springer-Verlag, pp.259-278.
- Press W.H., Teukolsky S.A., Vellerling W.T. and Flannery B.P. (1986): Numerical Recipes. - Cambridge: Cambridge University Press.
- Shanker M.U. and Dhaliwal R.S. (1975): Dynamic Coupled Thermoelastic Problems in Micropolar Theory -1. - Int. J. Eng. Sci., vol.13, pp.121-128.
- Singh B. and Kumar R. (1998): Reflection of plane waves from the flat boundary of a micropolar generalized thermoelastic half-space. - Int. J. Eng. Sci., vol.36, pp.865-890.
- Wang X.L. and Stronge W.J. (2001): Micropolar theory for a periodic force on the edge of elastic honeycomb. - Int. J. Eng. Sci., vol.39, pp.821-850.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0031-0007