Response due to mechanical and thermal sources in micropolar generalized thermoelastic medium

• Autorzy: Singh R. , Singh K. , Kumar V.
• Języki publikacji: EN

Abstrakty

EN

The eigen value approach, following the Laplace and Fourier transformation, is employed to find the general solution of the field equation in a micropolar generalized thermoelastic medium for a plane strain problem. An application of an infinite space with an impulsive mechanical source and thermal source is taken to illustrate the utility of the approach. The integral transformation is inverted by using a numerical inversion technique to get a result in the physical domain. The result in the form of normal displacement, normal force stress, tangential force stress, tangential couple stress and temperature field components is obtained numerically and illustrated graphically. A special case of a thermoelastic solid also deduced.

Słowa kluczowe

EN

eigenvalue; mechanical and thermal sources; Laplace and Fourier transform; concentred force; Romberg's integration

PL

źródła mechaniczne; źródła termiczne; transformacja Fouriera i Laplace'a; integracja Romberga

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2011
• Tom: Vol. 16, no 1
• Strony: 107--128
• Opis fizyczny: Bibliogr. 24 poz., wykr.

Twórcy

autor

Singh R.

autor

Singh K.

autor

Kumar V.

• Department of Mathematics S.G.A.D. Govt. College, Tarn Taran, INDIA,

Bibliografia

• Boschi E. and Jesan D. (1993): A generalized theory of linear micropolar thermoelasticity. - Meccanica, vol.8, pp.154-157.
• Baski R., Bera R.K. and Debnath L. (2004): Eigen value approach to study the effect of rotation and relaxation time in two dimensional problems of generalized thermoelastic. - Int. J. Engng. Sci., vol.42, pp.1573-1586.
• Cracium L. (1990): On the uniqueness of the solution of some boundary value problems of some boundary value problems of the linear micropolar thermoelasticity. - Bull. Int. Politech. Iasi. Sect., vol.36, pp.57-62.
• Eringen A.C. (1970): Foundations of Micropolar Thermoelasticity. - International Center for Mechanical Science Courses and Lecturers, No.23, Springer, Berlin.
• Eringen A.C. (1984): Plane waves in a non-local micropolar elasticity. - Int. J. Engng. Sci., vol.22, pp.1113-1121.
• Eringen A.C. (1986): Theory of Micropolar Elasticity 'in' Fracture (chapter-7). - vol.2, Acadamic Press, New York, Ed. H. Leibowitz.
• Green A.E. and Lindsay K.A. (1972): Thermoelasticity. - J. Elasticity, vol.2, pp.1-5.
• Green A.E. and Naghdi P.M. (1977): On thermodynamics and the nature of the second law. - Proc. Ray Soc. London A, vol.357, pp.253-270.
• Green A.E. and Naghdi P.M. (1991): A re-examination of the basic postulate of thermomechanics. - Proc. Ray. Soc, London A, vol.432. pp.171-194.
• Green A.E. and Naghdi P.M. (1993): Thermoelastic without energy dissipation. - J. Elasticity, vol.31, pp.189-208.
• Green A. E. and Lindsay K. A. (1972): Thermoelasticity. - J. Elasticity, vol.2, pp.1-5.
• Honig G. and Hirdes U. (1984): A method for the numerical inversion of the Laplace transform. - J. Comp. Appl. Math. vol.10, pp.113-132.
• Lord H.W. and Shulman Y. (1967): A generalized dynamical theory of thermoelasticity. - J. Mech. Phys. Solids, vol.15, pp.299-306.
• Kumar R. and Chadha T.K. (1986): On torsional loading in an axsymmetric micropolar elastic medium. - Proc. Indian Acad. Sci.(Maths Sci.),vol.95, pp.109-120.
• Kumar R. and Deswal S. (2001): Mechanical and thermal sources in the micropolar generalized thermoelastic medium. - J. Sound and Vibration, vol.239, pp.467-488.
• Kumar R. and Rani L. (2004): Deformation due to mechanical and thermal sources in the generalized othorhombic thermoelastic material. - Sadhana, vol.29, pp.429-448.
• Kumar R. and Rani L. (2005): Deformation due to mechanical and thermal sources in the generalized half-space with void. - Journal of Thermal Stress, vol.28, pp.123-143.
• Mahalanabis and Manna (1997): Eigen value approach to the problems of linear micropolar thermoelasticity. - J. Indian Acad. Math., vol.19, pp.67-86.
• Marin M. and Lupu M. (1998): On harmonic vibrations in thermoelasticity of micropolar bodies. - J. Vibration and Control, vol.4, pp.507-518.
• Nawaki W. (1986): Theory of Asymmetric Elasticity. - Oxford: Pergamon.
• Press W.H., Teukolsky S.A., Vellerling W.T. and Flannery B.P. (1986): Numerical Recipes. - Cambridge: Cambridge University Press.
• Passarella F. (1996): Some results in micropolar thermolasticity. - Mechanic Research Communication, vol.23, pp.349-359.
• Sturnin D.V. (2001): On characteristic times in generalized thermoelasticity. - J. Appl. Math., vol.68, pp.816-817.
• Sharma J.N. and Chand D. (1992): On the axisymmetric and plane strain problems of generalized thermoelasticity. - Int. J. Engng. Sci., vol.33, pp.223-230.