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http://dx.doi.org/10.12989/sem.2009.31.2.117

Effects of stiffness on reflection and transmission of micropolar thermoelastic waves at the interface between an elastic and micropolar generalized thermoelastic solid  

Kumar, Rajneesh (Department of Mathematics, Kurukshetra University)
Sharma, Nidhi (Department of Mathematics, NIT)
Ram, Paras (Department of Mathematics, NIT)
Publication Information
Structural Engineering and Mechanics / v.31, no.2, 2009 , pp. 117-135 More about this Journal
Abstract
The reflection and transmission of micropolar thermoelastic plane waves at the interface between an elastic solid and micropolar generalized thermoelastic solid is discussed. The interface boundary conditions obtained contain interface stiffness (normal stiffness and transverse stiffness). The expressions for the reflection and transmission coefficients which are the ratios of the amplitudes of reflected and transmitted waves to the amplitude of incident waves are obtained for normal force stiffness, transverse force stiffness and welded contact. Numerical calculations have been performed for amplitude ratios of various reflected and transmitted waves. The variations of amplitude ratios with angle of incident wave have been depicted graphically. It is found that the amplitude ratios of reflected and transmitted waves are affected by the stiffness, micropolarity and thermal distribution of the media.
Keywords
micropolar generalized thermoelastic solid; normal force stiffness; transverse force stiffness; welded contact; amplitude ratios;
Citations & Related Records

Times Cited By Web Of Science : 4  (Related Records In Web of Science)
Times Cited By SCOPUS : 5
연도 인용수 순위
1 Angel, T.C. and Achenbach, J.D. (1985), "Reflection and transmission of elastic waves by a periodic array of crack", J. Appl. Mech., 52, 33-41.   DOI
2 Baik, J.M. and Thompson, R.B. (1984), "Ultrasonic Scattering from imperfect interfaces a quasi-static model", J. Nondestruct. Eval., 4, 177-196.   DOI
3 Boschi, E. and Iesan, D. (1973), "A generalized theory of linear micropolar thermoelasticity", Meccanica, 7, 154-157.
4 Bullen, K.E. (1963), "An Introduction to theory of seismology, Cambridge University press, Cambridge.
5 Chen, W.Q., Cai, J.B., Ye, G.R. and Wang, Y.F. (2004), "Exact three-dimensional solutions of laminated orthotropic piezoelectric rectangular plates featuring interlaminar bonding imperfections modeled by a general spring layer", Int. J. Solid Struct., 41, 5247-5263.   DOI   ScienceOn
6 Dhaliwal, R.S. and Singh, A. (1980), "Dynamical coupled thermoelasticity", Hindustan Publishers, Delhi.
7 Eringen, A.C. (1968), "Theory of micropolar elasticity 'in' Fracture", Chap. 7, Vol. II, Academic press, Newyork, Ed. H. Leibowitz.
8 Eringen, A.C. (1970), "Foundations of micropolar thermoelasticity", Int. Cent. for. Mech. Studies. Courses and Lectures, No.23, Springer-Verlag, Wien.
9 Eringen, A.C. (1984), "Plane waves in non-local micropolar elasticity", Int. J. Eng. Sci., 22, 1113-1121.   DOI   ScienceOn
10 Eringen, A.C. (1999), "Microcontinuum field theory I: Fondations and solids", Springer-Verlag, Berlin.
11 Eringen, A.C. and Suhubi, E.S. (1964), "Non-linear theory of microelastic solids", I, II, Int. J. Eng. Sci., 2, 189-389.   DOI   ScienceOn
12 Fan, H. and Sze, K.Y. (2001), "A micro-mechanics model for imperfect interface in dielectric materials", Mech. Mater., 33, 363-370.   DOI   ScienceOn
13 Jones, J.P. and Whittier, J.S. (1967), "Waves in a flexible bounded interface", J. Appl. Mech., 34, 905-909.   DOI
14 Kumar, R. (2000), "Wave propagation in a micropolar viscoelastic generalized thermoelastic solid", Int. J. Eng. Sci., 38, 1377-1395.   DOI   ScienceOn
15 Kumar, R. and Sarthi, P. (2006), "Reflection and refraction of thermoelastic plane waves at an interface between two thermoelastic media without energy dissipation", Arch. Mech., 58(2), 155-185.
16 Kumar, R. and Sharma, J.N. (2005), "Reflection of plane waves from the boundaries of a micropolar thermoelastic half-space without energy dissipation", Int. J. Appl. Mech. Eng., 10(4), 631-645.
17 Kumar, R. and Singh, B. (1996), "Wave propagation in a micropolar generalized thermoelastic body with streach", Proc. Indian Acad. Sci. (Math. Sci.), 106, 183-199.
18 Kumar, R. and Singh, B. (1998), "Reflection of plane waves from the flat boundary of a micropolar generalized thermoelastic half-space", Int. J. Eng. Sci., 36, 865-890.   DOI   ScienceOn
19 Kumar, R. and Singh, B. (1998), "Reflection of plane waves from the flat boundary of a micropolar generalized thermoelastic with streach", Indian J. Pure. Ap. Ma., 29, 657-669.
20 Kumar, R. and Singh, B. (1998), "Wave propagation in generalized thermo-microstrech elastic solid", Int. J. Eng. Sci., 36, 891-912.   DOI   ScienceOn
21 Kumar, R., Sharma, N. and Ram, P. (2006), "Reflection and transmission of micrpolar elatic waves at an imperfect boundary", Multidiscipline Modeling in Materials and Structures (MMMS) [accepted].
22 Lavrentyev, A.I. and Rokhlin, S.I. (1998), "Ultrasonic spectroscopy of imperfect contact interfaces between a layer and two solids", J. Acoust. Soc. Am., 103(2), 657-664.   DOI   ScienceOn
23 Murty, G.S. (1975), "A theoretical model for the attenuation and dispersion of stonely waves at the loosely bounded interface of elastic half-spaces", Phys. Earth Planet. In., 11, 65-79.   DOI   ScienceOn
24 Nayfeh, A.H. and Nassar, E.M. (1978), "Simulation of the influence of bonding materials on the dynamic behaviour of laminated composites", J. Appl. Mech., 45, 822-828.   DOI
25 Nowacki, W. (1966), "Couple-stresses in the theory of thermoelasticity", In: Parkus, H., Sedov, L.I. (Eds.), Proc. IUTAM Symposia, Vienna, Springer-Verlag, 259-278.
26 Othman, M.I., Slalaeh, Oman and Song, Y. (2006), "The effect of rotation on the reflection of magneto-thermoelastic waves under thermoelasticity without energy dissipation", Acta Mechanica, 184, 189-204.   DOI
27 Pilarski, A. and Rose, J.L. (1988), "A transverse wave ultrasonic oblique-incidence technique for interface weakness detection in adhesive bonds", J. Appl. Phys., 63, 300-307.   DOI
28 Rokhlin, S.I. (1984), "Adhesive joint characterization by ultrasonic surface and interface waves", Adhesive Joints: Formation, characteristics and testing. Edited by K.L. Mittal (plenum, New York), 307-345.
29 Rokhlin, S.I., Hefets, M. and Rosen, M. (1980), "An elastic interface waves guided by thin film between two solids", J. Appl. Phys., 51, 3579-3582.   DOI   ScienceOn
30 Samsam Shariat, B.A. and Eslami, M.R. (2006), "Thermal buckling of imperfect functionally graded plates", Int. J. Solid Struct., 43, 4082-4096.   DOI   ScienceOn
31 Schoenberg, M. (1980), "Elastic wave behaviour across linear slip interfaces", J. Acoust. Soc. Am., 68(5), 1516-1521.   DOI   ScienceOn
32 Sharma, J.N., Kumar, V. and Chand, Dayal (2003), "Reflection of generalized thermoelastic waves from the boundary of a half-space", J. Therm. Stresses, 26, 925-942.   DOI   ScienceOn
33 Shodja, H.M., Tabatabaei, S.M. and Kamali, H.T. (2006), "A Piezoelectric-inhomogenity system with imperfect interface", Int. J. Eng. Sci., 44, 291-311.   DOI   ScienceOn
34 Sotiropoulos, D.A. and Achenbach, J.D. (1988), "Ultrasonic reflection by planar distribution of cracks", J. Nondestruct. Eval., 7, 23-129.
35 Wang, X. and Zhong, Z. (2003), "Three-dimensional solution of smart laminated anisotropic circular cylindrical shellswith imperfect bonding", Int. J. Solid Struct., 40, 5901-5921.   DOI   ScienceOn