Interactions in a micropolar thermoelastic medium with voids due to distributed loads

• Autorzy: Kumar R. , Ailawalia P.
• Języki publikacji: EN

Abstrakty

EN

The present investigation deals with the deformation of a micropolar thermoelastic medium with voids due to distributed mechanical thermal sources acting on the plane surface. The analytic expressions of displacement components, force stress, couple stress, change in volume fraction field and temperature distribution are obtained in the physical domain for Green-Lindsay (G-L) theory of thermoelasticity after applying the integrai transforms. These expressions are then inverted by using a numerical inversion method. The numerical results are presented graphically for a mechanical/ thermal uniformly distributed source. Some particular cases have also been deduced.

Słowa kluczowe

EN

micropolar thermoelastic solid; distributed sources; voids; couple stress; integral transform

PL

tworzywa termoplastyczne; mechanika płynów; porowatość

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2007
• Tom: Vol. 12, no 4
• Strony: 989--1007
• Opis fizyczny: Bibliogr. 19 poz., wykr.

Twórcy

autor

Kumar R.

autor

Ailawalia P.

• Department of Mathematics, Kurukshetra University Kurukshetra, Haryana, INDIA,

Bibliografia

• Birsan M. (2005): Saint-Venant's problem of Cosserat shells with voids. - Int. J. Solids and Structures, vol.42, pp.2033-2057.
• Ciarletta M. and Chirita S. (2006): On some growth decay results in thermoelasticity of porous media. - J. Thermal Stresses, vol.29, pp.905-924.
• Ciarletta M., Scalia A. and Svanadze M. (2007): Fundamental solution in the theory of micropolar thermoelasticity for materials with voids. - J. Thermal Stresses, vol.30, pp.213-229.
• Cowin S.C and Nunziato J.W. (1983): Linear elastic materials with voids. - J. Elasticity, vol.13, pp.125-147.
• Eringen A C. (1966): Linear theory of micropolar elasticity. - J. Math. Mech., vol.15, pp.909-923.
• 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 postulates of thermomechanics. - Proc. Roy. Soc. London A, vol.432, pp.171-194.
• Iesan D. (1985): Shock waves in micropolar elastic materials with voids. - An. St. Univ. Al. I. Cuza' Iasi, vol.31, pp.177-186.
• Kumar R. and Ailawalia P. (2005): Moving load response of micropolar elastic half-space with voids. - Journal of Sound and Vibration, vol.280, pp.837-848.
• Lord H.W and Shulman Y. (1967): A generalized dynamical theory of thermoelasticity. - J. Mech. Phys. Solids, vol.15, pp.299-306.
• Marin M. (1995): The mixed problem in elasto static of micropolar materials with voids. - An: Stiinf Uni. Ovidivs Constanta Ser. Mat., vol.3, pp.106-117.
• Marin M. (1996a): Some basic theorems in elastostatics of micropolar materials with voids. - J. Comput. Appl. Math., vol.70, pp.115-126.
• Marin M. (1996b): Generalized solutions in elasticity of micropolar bodies with voids. - Rev. Acad. Canaria. Cienc, vol.8, pp.101-106.
• Marin M. (1998): A temporally evolutionary equation in elasticity of micropolar bodies with voids. - Politehn, Univ. Bucharest. Sci. Bull. Ser. A Appl. Math. Phys., vol.60, pp.3-12.
• Nunziato J.W. and Cowin S.C. (1979): A non-linear theory of elastic materials with voids. - Arch. Rat. Mech. Anal, vol.72, pp.175-201.
• Pompei A. and Scalia A. (2002): On the asymptotic spatial behaviour in linear thermoelasticity of materials with voids. - J. Thermal Stresses, vol.25, pp.183-193.
• Scalia A. Pompei A. and Chirita S. (2004): On the behavior of steady time harmonic oscillations in thermoelastic materials with voids. - J. Thermal Stresses, vol.27, pp.209-226.
• Scarpetta E. (1990): On the fundamental solutions in micropolar elasticity with voids. - Acta Mechanica, vol.82, pp.151-158.
• Sharma J.N. and Kumar V. (1997): Plane strain problems of transversely isotropic thermoelastic media. - J. Thermal Stresses, vol.20, pp.463-476.