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2008 | Vol. 56, nr 3 | 263-271
Tytuł artykułu

Reflection at the free surface of magneto-thermo-microstretch elastic solid

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EN
Abstrakty
EN
The present investigation is concerned with the reflection in thermo-microstretch elastic solid in the presence of a transverse magnetic field, at the boundary surface. The generalized theories of thermoelasticity developed by Lord and Shulman [1](L-S) and Green and Lindsay [2](G-L) theories have been used to investigate the problem. The variations of amplitude ratios with angle of incidence have been shown graphically. It is noticed that the amplitude ratios of the reflected waves are affected by magnetic field, stretch and thermal properties of the medium.
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Rocznik
Strony
263-271
Opis fizyczny
Bibliogr. 22 poz., rys.
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autor
autor
Bibliografia
  • [1] H. Lord and Y. Shulman, "A generalized dynamical theory of thermo-elasticity", J. Mech. Phys. Solid 15, 299-309 (1967).
  • [2] A.E. Green and K.A. Lindsay, "Thermoelasticity", J. Elasticity 2, 1-7 (1972).
  • [3] M. Biot, "Thermoelasticity and irreversible thermodynamics", J. Appl. Phys. 27, 240-253 (1956).
  • [4] L.M. Muller, "The coldness, a universal function in thermoelastic bodies", Arch. Ration. Mech. Anal. 41,319-332 (1971).
  • [5] A.E. Green and N. Laws, "On the entropy production inequality", Arch. Ration. Mech. Anal. 45,47-53 (1972).
  • [6] E.S. Suhubi, "Thermoelastic solids", in: ed. A.c. Eringen, Continuum Physics, Academic Press, London, 1975.
  • [7] A.C. Eringen, "Micro polar elastic solids with stretch", Ari. Kitabevi Matbassi 24,1-18 (1971).
  • [8] A.C. Eringen, "Theory of thermo-microstretch elastic solids", Int. J. Eng. Sci. 28, 1291-1301 (1990).
  • [9] A.C. Eringen, "Theory of thermo-microstretch fluids and bubbly liquids", Int. 1. Eng. Sci. 28, 133-143 (1990).
  • [10] A.C. Eringen, "Foundations of micropolar thermoelasticity", Int. Cent. Mech. Studies. Course and Lectures 23, 1970.
  • [11] M. Nowacki, Couple-stresses in the Theory of Thermoelasticity, pp. 259-278, Springer-Verlag, Vienna, 1986.
  • [12] S. Kaliski and W. Nowacki, "Wave-type equations of thermomagneto-microelasticity", Bull. Pol. Ac.: Tech. 18(4), 325-333 (1970).
  • [13] W. Nowacki, "Two-dimensional problem of micropolar magnetoelasticity", Bull. Pol. Ac.: Tech. 19(4),307-311 (1971).
  • [14] D.S. Chandrasekharaiah, "Heat flux dependent micropolar thermoelasticity", Int. J. Eng. Sci. 24, 1389-1395 (1986).
  • [15] R Kumar and B. Singh, "Wave propagation in a micropolar generalized thermoelastic body with stretch", Proc. Ind. Acad. Sci.(Math.Sci.) 106, 183-199 (1996).
  • [16] R. Kumar and B. Singh, "Wave propagation of in generalized thermo-microstretch elastic solid", Int. J. Eng. Sci. 36,891-912 (1998).
  • [17] R Kumar and B. Singh, "Reflection of plane waves from the flat boundary of a micropolar generalized thermoelastic half space with stretch", Ind. J. Pure and App. Math. 29, 657-669 (1998).
  • [18] S.K. Tomar and M. Garg, "Reflection and transmission of waves from a plane interface between two microstrech solid half-spaces", Int. J. Eng. Sci. 43, 139-169 (2005).
  • [19] R. Kumar and G. Pratap , "Reflection of plane waves in a heat flux dependent microstretch thermoelastic solid half space", Int. J. App. Mech. and Eng. 10(2), 253-266 (2005).
  • [20] R. Kumar, D.S. Pathania, and I.N. Sharma, "Propagation of Rayleigh-Lamb waves in thermo-microstretch elastic plates", Int. J. App. Mech. and Eng. 12(4), 1147-1163 (2007).
  • [21] B. Singh and R. Kumar, "Reflection of plane waves from the flat boundary of a micropolar generalized thermoelastic halfspace", Int. J. Eng. Sci. 36, 865-890 (1998).
  • [22] R.D. Gauthier, Mechanics of Micropolar Media, World Scientific, Singapore, 1982.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-BPG5-0034-0014
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