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Elastodynamics of time harmonic sources in a thermally conducing cubic crystal

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Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The disturbance due to a time harmonic mechanical, horizontal or vertical and thermal source in a homogeneous, thermally conducting cubic crystal, elastic half-plane is investigated by applying the Fourier transform. The displacements, stresses and temperature distribution so obtained in the physical domain are computed numerically and illustrated graphically. The numerical results of these quantities for magnesium crystal-like material are illustrated to compare the results for different theories of generalized thermoelasticity for insulated boundary and temperature gradient boundary.
Rocznik
Strony
637--650
Opis fizyczny
Bibliogr. 20 poz., wykr.
Twórcy
autor
  • Department of Mathematics, Kurukshetra University Kurukshetra 136119, Haryana, INDIA
autor
  • Department of Mathematics, Kurukshetra University Kurukshetra 136119, Haryana, INDIA
Bibliografia
  • [1] Ackerman C.C. and Guyer R.A. (1968): Temperature pulses in dielectric solids. - Ann. Phys., vol.50, pp.128-135.
  • [2] Boulanger P. and Hayes M. (2000): Special inhomogeneous piane waves in cubic elastic materials. - Z Angew Math Phys., vol.51, pp.1031-1038.
  • [3] Banerjee D.K. and Pao Y.H. (1974): Thermoelastic waves in anisotropic solids. - J. Acoust. Soc Am vol 56 pp. 1444-1453.
  • [4] Bertram A., Bohlke T., Gaffke N., Heiligerss B. and Offinger R. (2000): On the generation of discrete isotropic orientation distributions for linear elastic cubic crystals. - J. Elasticity, vol.58, No.3, pp.233-248.
  • [5] Currie P.K. (1974): Rayleigh waves on elastic crystals. - Q. J. Mech. Appl. Math., vol.27, pp.489-496.
  • [6] Constanda C. and Perez M.E. (1994): Wave propagation in thin crystal plates. - Int. J. Engng.Sci., vol.32, No.4, pp 715-717.
  • [7] Dhaliwal R.S. and Sherief H.H. (1980): Generalized thermoelasticity for anisotropic media. - Q. Appl. Math., vol.38, pp.l-8.
  • [8] Dhaliwal R.S. and Singh A. (1980): Dynamie Coupled Thermoelasticity. - New Delhi, India: Hindustan Publ. Corp.
  • [9] Domański W. and Jabłoński T. (2001): On resonances of nonlinear elastic waves in a cubic crystal. - Arch. Mech., vol.53, No.2, pp.91-104.
  • [10] Destrade M. (2001): The explicit secular equation for surface acoustic waves in monoclinic elastic crystals. - J. Acoust. Soc. Am., vol.109, No.4, pp.1398-1402.
  • [11] Green A.E. and Lindsay K.A. (1972): Thermoelasticity. - J. Elasticity, vol.2, pp.1-7.
  • [12] Guyer R.A. and Krumhanusal J.A. (1966): Thermal conductivity, second sound and phenon by hydrodynamic phenomena in non-metallic crystals. - Phys. Rev., vol.l48, pp.778-788.
  • [13] Kobayashi R. and Giga Y. (2001): On anisotropy and curvature effects for growing crystals. - Japan J. Indust. Appl. Math., vol.l8, No.2, pp.207-230.
  • [14] Lord H.W. and Shulman Y. (1967): A generalized dynamical theory of thermoelasticity. - J. Mech. Phys. Solids, vol.l5, pp.299-309.
  • [15] Pao Y.H. and Banerjee D.K. (1973): Thermalpulses in dielectric crystals. - Lett. Appl. Engng. Sci., vol.l, pp.33-41.
  • [16] Press W.H., Teukolshy S.A., Vellerling W.T. and Flannery B.P. (1986): Numerical Recipes. - Cambridge: Cambridge University Press.
  • [17] Royer D. and Dieulesaint E. (1984): Rayleigh wave velocity and displacement in orthorhombic, tetragonal and cubic cryslals. - J. Acoust. Soc. Am., vol.76, pp. 1438-1444.
  • [18] Sharma J.N and Singh H. (1987): Generalized thermoelastic waves in crystals. - Proc. Indian Natn. Sci. Acad., vol.53A, No.l, pp.84-90.
  • [19] Sharma J.N. and Singh H. (1990): Propagation of generalized thermoelastic waves in cubic crystals. - Arch. Mech., vol.42, No.l, pp. 19-30.
  • [20] Zhou F. and Ogawa A. (2002): Elastic Solutions for a solid rotating disk with cubic anisotropy. - ASME, J. Appl. Mech., vol.69, pp.81-83.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0003-0033
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