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Reflection and transmission of waves from imperfect boundary between two heat conducting micropolar thermoelastic solids


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[1] A. C. Eringen, Linear theory of micropolar elasticity; J. Math. Mech. 15(1966a), 909-924.10.1512/iumj.1966.15.15060Search in Google Scholar

[2] A. C. Eringen, 1966b Theory of micropolar fluids; J. Math.Mech. 16(1966b), 1-18.10.1512/iumj.1967.16.16001Search in Google Scholar

[3] A. C. Eringen, Non-local polar field theories. In: Continuum Physics (ed.) A C Eringen, Vol.IV (New York, Academic Press), 1976, 205-267.10.1016/B978-0-12-240804-5.50009-9Search in Google Scholar

[4] A.C. Eringen, Foundations of micropolar thermoelasticity, International Centre for Mechanical Science, Udline Course and Lectures 23, Springer-Verlag, Berlin, 1970.10.1007/978-3-7091-2904-3Search in Google Scholar

[5] W. Nowacki, Theory of Asymmetric Elasticity-Oxford:Pergamon, 1986Search in Google Scholar

[6] S. Dost and B. Taborrok, Generalized micropolar thermoelasticity, International Journal of Engineering Science, 16 (1978) 173-178.10.1016/0020-7225(78)90046-0Search in Google Scholar

[7] A.E. Green and K.A Lindsay, Thermoelasticity, Journal of Elasticity, 2 (1972) 1-7.10.1007/BF00045689Search in Google Scholar

[8] P.J. Chen, M.E. Gurtin and W.O. Williams, A note on non simple heat conduction, Zeitschrift fr angewandte Mathematik und Physik, 19 (1968) 960-970.10.1007/BF01602278Search in Google Scholar

[9] P.J. Chen, M.E. Gurtin and W.O. Williams, On the thermoelastic material with two temperature, Zeitschrift fr angewandte Mathematik und Physik, 20 (1969) 107-112.10.1007/BF01591120Search in Google Scholar

[10] M. Boley, Thermoelastic and irreversible thermodynamics, Journal of Applied Physics, 27(1956) 240-253.10.1063/1.1722351Search in Google Scholar

[11] W.E. Warren and P.J. Chen, Wave propagation in the two temperature theory of thermoelasticity, Acta Mechanica, 16 (1973) 21-23.Search in Google Scholar

[12] H.M. Youssef, Theory of two temperature generalized thermoelastic, IMA Journal of Applied Mathematics, (2005) 1-8.Search in Google Scholar

[13] P. Puri and P. Jordan, On the propagation of harmonic plane waves under the two temperature theory, International Journal of Engineering Science, 44 (2006) 1113-1126.Search in Google Scholar

[14] H.M. Youssef and E.A. Al-Lehaibi, A state approach of two temperature generalized thermoelasticity of one dimensional problem, International Journal of Solid and Structures, 44 (2007) 1550-1562.Search in Google Scholar

[15] H.M. Youssef and H.A. Al-Harby, State space approach of two temperature generalized thermoelasticity of infinite body with a spherical cavity subjected to different types of thermal loading, Archive Applied Mechanics, 77 (2007) 675-687.10.1007/s00419-007-0120-6Search in Google Scholar

[16] A. Magana and R. Quintanilla, Uniqueness and growth of solution in two temperature generalized thermoelastic theories, Mathematics and Mechanics of Solids, Online (2008).10.1177/1081286507087653Search in Google Scholar

[17] S. Mukhopadhyay and R. Kumar, Thermoelastic interaction on two temperature generalized thermoelasticity in an infinite medium with a cylindrical cavity, Journal of Thermal Stresses, 32 (2009) 341-360.10.1080/01495730802637183Search in Google Scholar

[18] K. Roushan and M. Santwana, Effect of thermal relaxation time on plane wave propagation under two temperature thermoelasticity, International Journal of Engineering Science, 48 (2010) 128-139.10.1016/j.ijengsci.2009.07.001Search in Google Scholar

[19] S. Kaushal, N. Sharma and R. Kumar, Propagation of waves in generalized thermoelastic continua with two temperature, International Journal of Applied Mechanics and Engineering, 15 (2010) 1111-1127.Search in Google Scholar

[19] S. Kaushal, R. Kumar and A. Miglani, Wave propagation in temperature rate dependent thermoelasticity with two temperature, Mathematical Sciences, 5 (2011) 125-146.Search in Google Scholar

[20] M.A. Ezzat and E.S. Aiwad, Constitutive relations, Uniqueness of solution and thermal shock application in the linear theory of micropolar generalized thermoelasticity involving two temperature, Journal of Thermal Stresses, 33 (2010) 226-250.10.1080/01495730903542829Search in Google Scholar

[21] M.A. Ezzat, F. Hamza and E. Awad, Electro Magneto-thermoelastic plane waves in micropolar solid involving two temperatures, Acta Mechanica Solida Sinica, 23 (2010) 200-212.10.1016/S0894-9166(10)60022-5Search in Google Scholar

[23] J.M. Baik and R.B. Thomson, Ultrasonic scattering from imperfect interfaces a quasi-static model. Journal of Nondestructive Evaluation, 4 (1984) 177-176.10.1007/BF00566223Search in Google Scholar

[22] S.I. Rokhlin, Adhesive joint characterization by ultrasonic surface and interface waves [M]- Adhesive joints: Formation, Characteristics and Testing. Edited by K.L. Mittal (plenum, New York), 1984, 307-345.10.1007/978-1-4613-2749-3_20Search in Google Scholar

[23] T.C. Angel and J.D. Achenbach, Reflection and transmission of elastic waves by a periodic array of crack, Journal of Applied Mechanics, 52 (1985) 33-41.10.1115/1.3169023Search in Google Scholar

[24] A. Pilarski and J.L. Rose, A transverse wave ultrasonic oblique- incidence technique for interface weakness detection in adhesive bonds, Journal of Applied Physics, 63 (1988) 300-307.10.1063/1.340294Search in Google Scholar

[25] A.I. Lavrentyev and S.I. Rokhlin, Ultrasonic spectroscopy of imperfect contact interfaces between a layer and two solids, Journal of Acoustical Society of America, 103 (1998) 657-664.10.1121/1.423235Search in Google Scholar

[26] R. Kumar and N. Sharma, Effect of viscocity on wave propagation between two micropolar viscoelastic thermoelastic solids with two relaxation times having interfacial imperfections, International Journal of Manufacturing Science and Technology, 1 (2007) 133-152.Search in Google Scholar

[27] R. Kumar, N. Sharma and P. Ram, Reflection and transmission of micropolar elastic waves at an imperfect boundary, Multidiscipline Modeling in Materials and Structure, 4 (2008) 15-36.10.1163/157361108783470388Search in Google Scholar

[28] R. Kumar, N. Sharma and P. Ram, Response of imperfections at the boundary surface, International eJournal of Engineering Mathematics:Theory and Applications (IeJEMTA), 3 (2008) 90-109.Search in Google Scholar

[29] R. Kumar, N. Sharma and P. Ram, Interfacial imperfection on reflection and transmission of plane waves in anisotropic micropolar media, Theoretical and Applied Fracture Mechanics, 49 (2008) 305-312.10.1016/j.tafmec.2008.02.007Search in Google Scholar

[30] R. Kumar, N. Sharma and P. Ram, Effect of stiffness on reflection and transmission of micropolar thermoelastic waves at an interface between an elastic and micropolar generalized thermoelastic solid, Structural Engineering and Mechanics, an International Journal, 31 (2009) 117-135.10.12989/sem.2009.31.2.117Search in Google Scholar

[31] P. Ram and N. Sharma, Reflection and Transmission of micropolar thermoelastic waves with an imperfect bonding, International Journal of Applied Mathematics and Mechanics, 4 (2008) 1-23.Search in Google Scholar

[32] R. Kumar and N. Sharma, Effect of viscocity and stiffness on wave propagation in micropolar visoelastic media, International Journal of Applied Mechanics and Engineering, 4 (2009) 415-431.Search in Google Scholar

[33] N. Sharma, S. Kaushal and R. Kumar, Effect of viscocity and stiffness on amplitude ratios in microstretch viscoelastic media, Applied Mathematics and Information Sciences, 5 (2011) 321-341.Search in Google Scholar

[34] R. Kumar and V. Chawala, Effect of rotation and stiffness on surface wave propagation in a elastic layer lying over a generalized thermodiffusive elastic half space with imperfect boundary, Journal of Solid Mechanics, 2 (2010) 28-42.Search in Google Scholar

[35] R. Kumar and V. Chawala, Effect of rotation on surface wave propagation in a elastic layer lying over a thermo diffusive elastic half space having imperfect boundary, International Journal of Applied Mechanics and Engineering, 16 (2011) 37-55.Search in Google Scholar

[36] R. Kumar and V. Chawala, Wave propagation at the imperfect boundary between transversely isotropic thermodiffusive Eastic layer and half space, Journal of Engineering Physics and Thermophysics, 84 (2011)1192-1200.10.1007/s10891-011-0584-7Search in Google Scholar

[37] M. Marin, R.P. Agarwal, S.R. Mahmoud, Modeling a microstretch thermoelastic body with two temperature, Abstract and Applied Analysis, doi: 10.1155/2013/583464, Vol. 2013 (2031), 7 pg.10.1155/2013/583464Search in Google Scholar

[38] M. Marin, A partition of energy in thermoelsticity of microstretch bodies, Nonlinear Analysis: RWA, Vol. 11, 4(2010), 2436-2447,10.1016/j.nonrwa.2009.07.014Search in Google Scholar

[39] M. Marin, Some estimates on vibrations in thermoelasticity of dipolar bodies, Journal of Vibration and Control, Vol. 16, 1(2010), 33-4710.1177/1077546309103419Search in Google Scholar

[40] M. Marin, An evolutionary equation in thermoelasticity of dipolar bodies, Journal of Mathematical Physiscs, Vol. 40, 3(1999), 1391-139910.1063/1.532809Search in Google Scholar

eISSN:
1844-0835
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics