Abstract
The theory of coupled thermoelasticity for a micropolar mixture of porous media (Eringen AC, J Appl Phys 94:909, 2003) is generalized in the context of Lord and Shulman and Green and Lindsay theories of generalized thermoelasticity. The governing equations of generalized thermoelasticity of a micropolar mixture of porous media are solved to show the existence of three coupled longitudinal displacement waves, two coupled longitudinal microrotational waves, and six coupled transverse waves, which attenuate and are dispersive in nature.
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References
Biot M.A.: J. Appl. Phys. 27, 240 (1956)
Hetnarski R.B., Ignaczak J.: J. Thermal Stresses 22, 451 (1999)
Lord H., Shulman Y.: J. Mech. Phys. 15, 299 (1967)
Muller I.M.: Arch. Rational Mech. Anal. 41, 319 (1971)
Green A.E., Laws N.: Arch. Rational Mech. Anal. 45, 47 (1972)
Green A.E., Lindsay K.A.: J. Elasticity 2, 1 (1972)
E.S. Suhubi, in Continuum Physics II, chap. 2, ed. by A.C. Eringen (Academic Press, New York, 1975)
J. Ignaczak, M. Ostoja-Starzewski, Thermoelasticity with Finite Wave Speeds (Oxford University Press, 2009)
Eringen A.C.: J. Math. Mech. 15, 909 (1966)
Nowacki W.: Bull. Acad. Polon. Sci., Ser. Sci. Tech. 14, 129 (1966)
Nowacki W.: Bull. Acad. Polon. Sci., Ser. Sci. Tech. 14, 263 (1966)
Nowacki W.: Bull. Acad. Polon. Sci., Ser. Sci. Tech. 14, 801 (1966)
Nowacki W.: Arch. Mech. Stosow. 22, 3 (1970)
W. Nowacki, W. Olszak, Micropolar Thermoelasticity, CISM Courses and Lectures No. 151, Udine (Springer-Verlag, Vienna, 1974)
A.C. Eringen, Foundation of Micropolar Thermoelasticity, CISM Courses and Lectures No. 23, Udine (Springer-Verlag, Vienna, New York, 1974)
Tauchert T.R., Claus W.D. Jr., Ariman T.: Int. J. Eng. Sci. 6, 37 (1968)
Tauchert T.R.: Acta Mech. 11, 155 (1971)
Boschi E., Iesan D.: Mechanica VIII, 154 (1973)
Dost S., Tabarrok B.: Int. J. Eng. Sci. 16, 173 (1978)
Kumar R., Singh B.: Proc. Indian Acad. Sci. 106, 183 (1996)
Twiss R.J., Eringen A.C.: Int. J. Eng. Sci. 9, 1019 (1971)
Twiss R.J., Eringen A.C.: Int. J. Eng. Sci. 10, 437 (1972)
Eringen A.C.: J. Appl. Phys. 94, 909 (2003)
Singh D., Tomar S.K.: Int. J. Eng. Sci. 44, 1304 (2006)
Parfitt V.R., Eringen A.C.: J. Acoust. Soc. Am. 45, 1258 (1969)
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Singh, B. Propagation of Thermoelastic Waves in Micropolar Mixture of Porous Media. Int J Thermophys 31, 637–647 (2010). https://doi.org/10.1007/s10765-010-0730-z
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DOI: https://doi.org/10.1007/s10765-010-0730-z