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SH waves in a layer with temperature dependent properties

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper deals with the problem of SH harmonic wave propagation in an elastic layer with temperature dependent properties. The shear modulus and mass density are linearly dependent on temperature. The layer is rested on a rigid foundation and the upper boundary is free of loadings. The boundary planes are kept at different constant temperatures. The wave velocity and amplitude of stresses are analysed.
Czasopismo
Rocznik
Strony
1203--1213
Opis fizyczny
Bibliogr. 30 poz.
Twórcy
  • Institute of Hydrogeology and Engineering Geology, Faculty of Geology, University of Warsaw, Warsaw, Poland
  • Institute of Hydrogeology and Engineering Geology, Faculty of Geology, University of Warsaw, Warsaw, Poland
  • Faculty of Mechanical Engineering, Białystok University of Technology, Białystok, Poland
Bibliografia
  • [1] Acharya, D.P., and C. Maji (2007), Effect of surface stress on magneto-elastic surface waves in finitely conducting media, Acta Geophys. 55,4, 554–576, DOI: 10.2478/s11600-007-0026-2. http://dx.doi.org/10.2478/s11600-007-0026-2
  • [2] Achenbach, J.D., and O. Balogun (2010), Anti-plane surface waves on a half-space with depth-dependent properties, Wave Motion 47,1, 59–65, DOI: 10.1016/j.wavemoti.2009.08.002. http://dx.doi.org/10.1016/j.wavemoti.2009.08.002
  • [3] Aki, K., and P.G. Richards (1980), Quantitative Seismology, W.H. Freeman and Co., San Francisco, 932 pp.
  • [4] Aouadi, M., and A.S. El-Karamany (2003), Plane waves in generalized thermoviscoelastic material with relaxation time and temperature-dependent properties, J. Therm. Stresses 26,3, 197–222, DOI: 10.1080/713855894. http://dx.doi.org/10.1080/713855894
  • [5] Czaplewski, D.A., J.P. Sullivan, T.A. Friedmann, and J.R. Wendt (2005), Temperature dependence of the mechanical properties of tetrahedrally coordinated amorphous carbon thin films, Appl. Phys. Lett. 87,16, 161915, DOI: 10.1063/1.2108132. http://dx.doi.org/10.1063/1.2108132
  • [6] Emery, A.F., and T.D. Fadale (1997), Handling temperature dependent properties and boundary conditions in stochastic finite element analysis, Numer. Heat Transfer, Part A 31,1, 37–51, DOI: 10.1080/10407789708914024. http://dx.doi.org/10.1080/10407789708914024
  • [7] Ezzat, M., M. Zakaria, and A. Abdel-Bary (2004), Generalized thermoelasticity with temperature dependent modulus of elasticity under three theories, J. Appl. Math. Comp. 14,1–2, 193–212, DOI: 10.1007/BF02936108. http://dx.doi.org/10.1007/BF02936108
  • [8] Hata, T. (1979), Thermoelastic problem for a Griffith crack in a plate with temperature-dependent properties under a linear temperature distribution, J. Therm. Stresses 2,3–4, 353–366, DOI: 10.1080/01495737908962412. http://dx.doi.org/10.1080/01495737908962412
  • [9] Hata, T. (1981), Thermoelastic problem for a Griffith crack in a plate whose shear modulus is an exponential function of the temperature, ZAMM J. Appl. Math. Mech. 61,2, 81–87, DOI: 10.1002/zamm.19810610204. http://dx.doi.org/10.1002/zamm.19810610204
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  • [13] Lokajíček, T., V. Rudajev, R.D. Dwivedi, R.K. Goel, and A. Swarup (2012), Influence of thermal heating on elastic wave velocities in granulite, Int. J. Rock Mech. Min. Sci. 54,1–8, DOI: 10.1016/j.ijrmms.2012.05.012.
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  • [15] Matysiak, S.J., and D.M. Perkowski (2013), Green’s function for an elastic layer with temperature-dependent properties, Mat. Sci. 48,5, 607–613, DOI: 10.1007/s11003-013-9544-z. http://dx.doi.org/10.1007/s11003-013-9544-z
  • [16] Mondal, A.K., and D.P. Acharya (2006), Surface waves in a micropolar elastic solid containing voids, Acta Geophys. 54,4, 430–452, DOI: 10.2478/s11600-006-0032-9. http://dx.doi.org/10.2478/s11600-006-0032-9
  • [17] Mukhopadhyay, S., and R. Kumar (2009), Solution of a problem of generalized thermoelasticity of an annular cylinder with variable material properties by finite difference method, Comput. Meth. Sci. Tech. 15,2, 169–176. http://dx.doi.org/10.12921/cmst.2009.15.02.169-176
  • [18] Nowinski, J. (1959), Thermoelastic problem for an isotropic sphere with temperature dependent properties, Z. Angew. Math. Phys. 10,6, 565–575, DOI: 10.1007/BF01601612. http://dx.doi.org/10.1007/BF01601612
  • [19] Nowinski, J. (1960), A Betti-Rayleigh theorem for elastic bodies exhibiting temperature dependent properties, Appl. Sci. Res. 9,1, 429–436, DOI: 10.1007/BF00382220. http://dx.doi.org/10.1007/BF00382220
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  • [21] Nowinski, J.L. (1978), Theory of Thermoelasticity with Applications, Sijthoff & Noordhoff Int. Publ., Alphen aan den Rijn, 836 pp. http://dx.doi.org/10.1007/978-94-009-9929-9
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  • [23] Schreiber, E., O.L. Anderson, and N. Soga (1973), Elastic Constants and Their Measurement, Mc Graw-Hill, New York, 196 pp.
  • [24] Speriatu, L.M. (2005) Temperature dependent mechanical properties of composite materials and uncertainties in experimental measurements, Ph.D. Thesis, University of Florida, 159 pp.
  • [25] Sumi, N., and Y. Sugano (1997), Thermally induced stress waves in functionally graded materials with temperature-dependent material properties, J. Therm. Stresses 20,3–4, 281–294, DOI: 10.1080/01495739708956103. http://dx.doi.org/10.1080/01495739708956103
  • [26] Sun, D., and S.-N. Luo (2011), Wave propagation of functionally graded material plates in thermal environments, Ultrasonics 51,8, 940–052, DOI: 10.1016/j.ultras.2011.05.009. http://dx.doi.org/10.1016/j.ultras.2011.05.009
  • [27] Tao, L.N. (1989), The heat conduction problem with temperature-dependent material properties, Int. J. Heat Mass Tran. 32,3, 487–491, DOI: 10.1016/0017-9310(89)90136-1. http://dx.doi.org/10.1016/0017-9310(89)90136-1
  • [28] Tillmann, A.R., V.L. Borges, G. Guimarães, A.L.F.L. Silva, and S.M.M.L. Silva (2008), Identification of temperature-dependent thermal properties of solid materials, J. Braz. Soc. Mech. Sci. Eng. 30,4, 269–278, DOI: 10.1590/S1678-58782008000400001. http://dx.doi.org/10.1590/S1678-58782008000400001
  • [29] Virieux, J. (1986), P-SV wave propagation in heterogeneous media: Velocity-stress finite-difference method, Geophysics 51,4, 889–901, DOI: 10.1190/1.1442147. http://dx.doi.org/10.1190/1.1442147
  • [30] Xia, J., R.D. Miller, and C.B. Park (1999), Estimation of near-surface share-wave velocity by inversion of Rayleigh waves, Geophysics 64,3, 691–700, DOI: 10.1190/1.1444578. http://dx.doi.org/10.1190/1.1444578
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-35783108-e4da-4aa3-adfb-9674b4d38b84
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