Reflection From Free Surface of a Rotating Generalized Thermo-Piezoelectric Solid Half Space
Subject Areas : Engineering
1 - Department of Mathematics, Post Graduate Government College, Sector-11, Chandigarh, 160011,India
2 - Department of Applied Sciences, Rayat Bahra Institute of Engineering and Nano Technology, Hoshiarpur, 146001, Punjab, India
Keywords:
Abstract :
[1] Abd-alla A.N., Alsheikh F.A., 2009, Reflection and refraction of plane quasi longitudinal waves at an interface of two piezoelectric media under initial stresses, Archive of Applied Mechanics 79(9): 843-857.
[2] Abd-alla A.N., Hamdan A.M., Giorgio I., Vescova D.D., 2014, The mathematical model of reflection and refraction of longitudinal waves in thermo-piezoelectric materials, Archive of Applied Mechanics 84(9): 1229-1248.
[3] Alshit V.I., Lothe J., Lyubimov V.N., 1984, The phase shift for reflection of elastic waves in hexagonal piezoelectric crystals, Wave Motion 6: 259-264.
[4] Alshits V.I., Shuvalov A.L., 1995, Resonance reflection and transmission of shear elastic waves in multilayered piezoelectric structures, Journal of Applied Physics 77(6): 2659-2665.
[5] Auld B.A., 1981, Wave propagation and resonance in piezoelectric materials, Journal of Acoustical Society of America 70(6): 1577-1585.
[6] Burkov S.I., Sorokin B.P., Aleksandrov K.S., Karpovich A.A., 2009, Reflection and refraction of bulk acoustic waves in piezo electrics under uniaxial stress, Acoustical Physics 55(2): 178-185.
[7] Cady W.G., 1946, Piezoelectricity, McGraw-Hill, New York.
[8] Chandrasekharaih D.S., 1984, A temperature rate dependent theory of piezoelectricity, Journal of Thermal Stresses 7: 293-306.
[9] Chen J.Y., Chen H.L., Pan E., 2008, Reflection and transmission coefficients of plane waves in magneto-electro-elastic layered structures, Journal of Vibration and Acoustics 130: 031002.
[10] Clezio E.L., Shuvalov A., 2004, Transmission of acoustic waves through piezoelectric plates: Modeling and Experiment, IEEE Ultrasonics Symposium 1: 553-556.
[11] Darinskii A.N., Clezio E.L., Feuillard G., 2008, The role of electromagnetic waves in the reflection of acoustic waves in piezoelectric crystals, Wave Motion 45(1): 428-444.
[12] Dunn M. L., 1993, Micromechanics of coupled electro-elastic composites: effective thermal expansion and pyroelectric coefficients, Journal of Applied Physics 73: 5131-5140.
[13] Eringen A.C., Maugin G.A., 1990, Electrodynamics of Continua: I Foundations and Solid Media, Springer Verlag, New York.
[14] Every A.G., Neiman V.I., 1992, Reflection of electroacoustic waves in piezoelectric solids: Mode conversion into four bulk waves, Journal of Applied Physics 71(12): 6018-6024.
[15] Green A.E., Lindsay K.A., 1972, Thermoelasticity, Journal of Elasticity 2: 1-7.
[16] Ikeda T., 1996, Fundamentals of Piezoelectricity, Oxford Science Publications, Oxford University Press.
[17] Kuang Z.B., Yuan X.G., 2011, Reflection and transmission of waves in pyroelectric and piezoelectric materials, Journal of Sound and Vibration 330(6): 1111-1120.
[18] Kaung Z. B., 2013, Theory of Electroelasticity, Springer.
[19] Lord H., Shulman Y., 1967, A generalised dynamical theory of thermoelasticity, Journal of Mechanics and Physics of the Solids 15: 299-309.
[20] Lothe J., Barnett D.M., 1976, Integral formalism for surface waves in piezoelectric crystals: Existence considerations, Journal of Applied Physics 47: 1799-1807.
[21] Maugin G.A., 1988, Continuum Mechanics of Electromagnetic Solids, Elsevier Science Publishers, Amsterdam, New York, Oxford.
[22] Mindlin R.D., 1972, High frequency vibrations of piezoelectric crystal plates, International Journal of Solids and Structures 8(7): 895-906.
[23] Mindlin R.D., 1974, Equations of high frequency vibrations of thermo-piezoelectric crystal plates, International Journal of Solids and Structures 10(6): 625-637.
[24] Nayfeh A.H, Chien H.T., 1992, The influence of piezoelectricity on free and reflected waves from fluid loaded anisotropic plates, Journal of Acoustical Society of America 91(3): 1250 -1261.
[25] Noorbehesht B., Wade G., 1980, Reflection and transmission of plane elastic waves at the boundary between piezoelectric materials and water, Journal of Acoustical Society of America 67(6): 1947-1953.
[26] Nowacki W., 1978, Some general theorems of thermo-piezo-electricity, Journal of Thermal Stresses 1: 171-182.
[27] Pal A.K., 1979, Surface wave in a thermo-piezoelectric medium of monoclinic symmetry, Czechslovak Journal of physics 29: 1271-1281.
[28] Pang Y., Wang Y.S., Liu J.X., Fang D.N., 2008, Reflection and refraction of plane waves at the interface between piezoelectric and piezo magnetic media, International Journal of Engineering Science 46(11): 1098-1110.
[29] Parton V.Z., Kudryavtsev B.A., 1988, Electromagnetoelasticity: Piezo electrics and Electrically conductive Solids, Gordon and Beach, New York.
[30] Ponnusamy P., 2016, Elastic waves in generalized thermo-piezoelectric transversely isotropic circular bar immersed in fluid, Advances in Applied Mathematics and Mechanics 8(1): 82-103.
[31] Rosenbaum J.F., 1988, Bulk Acoustic Wave Theory and Devices, Artech House, Boston.
[32] Schoenberg M., Censor D., 1973, Elastic waves in rotating media, Quarterly of Applied Mathematics 31: 115-125.
[33] Sharma J.N., Kumar M., 2000, Plane harmonic waves in piezothermoelastic materials, Indian Journal of Engineering and Material Sciences 7: 434-442.
[34] Sharma J.N., Walia V., 2007, Effect of rotation on Rayleigh waves in piezothermoelastic half-space, International Journal of Solids and Structures 44: 1060-1072.
[35] Shuvalov A.L., Clezio E.L., 2010, Low-frequency dispersion of fundamental waves in anisotropic piezoelectric plates, International Journal of Solids and Structures 47: 3377-3388.
[36] Singh B., 2005, On the theory of generalized thermoelasticity for piezoelectric materials, Applied Mathematics and Computation 171: 398-405.
[37] Singh B., 2010, Wave propagation in a pre-stressed piezoelectric half-space, Acta Mechanica 211: 337-344.
[38] Singh B., 2013, Propagation of shear waves in a piezoelectric medium, Mechanics of Advanced Materials and Structures 20: 434-440.
[39] Tiersten H.F., 1969, Linear Piezoelectric Plate Vibrations, Plenum, New York.
[40] Toupin R.A., 1956, The elastic dielectric, Archive for Rational Mechanics and Analysis 5: 849-915.
[41] Voigt W., 1910, Lehrbuch der Krystallphysik, Mathematischen Wissenschaften, band XXXIV, Leipzig und Berlin, B.G. Teubner.
[42] Weis R.S., Gaylord T.K., 1985, Summary of physical properties and crystal structure, Applied Physics A 37: 191-203.
[43] Yang J., 2005, An Introduction to the Theory of Piezoelectricity, Springer, New York.
[44] Zhang Q.M., Geng X., Yuan J., 1996, Reflection of plane waves at medium composite interfaces and input acoustic impedance of laminated piezo ceramic polymer composites, Journal of Applied Physics 80(9): 5503-5505.
