On the matrix techniques for modeling of thermoelastic waves in layered structures

• Autorzy: Verma K. L.
• Języki publikacji: EN

Abstrakty

EN

The development of a general purpose model for thermoelastic wave propagation in Cartesian system for heat conducting isotropic layered plates is illustrated, the model can account for elastic and visco-elastic isotropic materials, single or multi-layered structures, and free or leaky systems. Theoretical treatment is presented for calculating the displacements, temperature, thermal stresses and temperature gradient within a multilayered plate in generalized theories of thermoelasticity, using the matrix transfer technique. Rigidly bonded and smooth interface condition is also considered as a special case to stimulate de-bonding of two materials layers. The model developed will be of value in material characterization and others quantitative information on thermo-mechanical, strength related properties of advanced materials. Relevant results of previous investigations and coupled thermoelasticity are deduced as special cases.

Słowa kluczowe

EN

generalized thermoelasticity; layered structures; transfer matrix; dispersion; rigid and smooth interface

PL

teoria sprężystości; termomechanika

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2006
• Tom: Vol. 11, no 3
• Strony: 655--669
• Opis fizyczny: Bibliogr. 33 poz.

Twórcy

autor

Verma K. L.

• Department of Mathematics, Government Post Graduate College Hamirpur, (H.P.) 177005 INDIA,

Bibliografia

• Achenbach J.D (1973): Wave propagation in elastic solids. - North-Holland Series in Applied Mathematics and Mechanics., American Elsevier Publishing Company, Inc., New York, vol.16.
• Bufler H. (1971): Theory of elasticity of a multilayered medium. - J. of Elasticity, vol.1, pp.125.
• Bahar L.Y. (1972): Transfer matrix approach to layered system. - ASCE, J. Eng. Mech. Division, vol.98, pp.1159.
• Bahar L.Y. and Hetnarski R.B. (1980): Coupled thermoelasticity of a layered medium. - J. Thermal stresses, vol.3, pp.141.
• Brekhovskikh L.M. (1960.): Waves in Layered Media. - New York: Academic Press.
• Chadwick P. (1960): Progress in Solid Mechanics. - (Edited by R. Hill and I.N. Sneddon) 1 North Holland Publishing Co., Amsterdam.
• Chandrasekharaiah D.S. (1986): Thermoelasticity with second sound. - A review. - Applied Mechanics Review, vol.39, No.3, pp.355-376.
• Chandrasekharaiah D.S. (1998): Hyperbolic thermoelasticity. - A review of recent literature. - Applied Mechanics Review, vol.51, No.12, pp.705-729.
• Daimaruya M. and Naitoh M. (1987): Thermoelastic waves in a plate. - Journal of Sound and Vibrations, vol.117, pp.511-518.
• Ewing W.M., Jardetzky W.S. and Press F. (1957): Elastic Waves in Layered Media - McGraw Hill.
• Green A.E. and Lindsay K.A. (1972): Thermoelasticity. - J. Elasticity, vol.2, pp.1-7.
• Green A.E. and Naghdi P.M. (1991): A Re-examination of the Basic postulates of thermomechanics. - Proceeding of Royal Society of London, series A, vol.432, pp.171-194.
• Hetnarski R.B. and Ignaczak J. (1994): Generalized thermoelasticity response of semi-space to a short laser pulse. - J. Thermal Stresses, vol.17, pp.377-396.
• Ignaczak J. (1989): Generalized thermoelasticity and its applications, in R.B. Hetnarski (ed.). - Thermal Stresses III, chapter-4, Elsevier Science Publishers B.V.-Amsterdam, pp.280-354.
• Lord H.W. and Schulman Y. (1967): A generalized dynamical theory of thermoelasticity. - J. Mech. Phys. Solids, vol.15, pp.299-309.
• Massalas C.V. Kalpakidis V.K. (1987a): Thermoelastic waves in a thin plate with mixed boundary conditions and thermal relaxation. - Ingenieur-Archiv. vol.57, pp.401-412.
• Massalas C.V. and Kalpakidis V.K. (1987b): Thermoelastic waves in a waveguide. - International Journal of Engineering Sciences, vol.25, pp.1207-1218.
• Nayfeh A. and Nasser S.N. (1971): Thermoelastic waves in a solid with thermal relaxations. - Acta Mechanica, vol.12, pp.53-69.
• Nayfeh A.H. and Taylor T.W. (1990): Dynamic distribution of displacement and stress considerations in the ultrasonic immersion nondestructive evaluation of multilayered plates. - J. Eng. Materials and Tech., vol.112, pp.261.
• Nowacki W. (1962): Thermoelasticity - Int. Ser. Monographs in Aeronautics and Astronautics. - Warsaw: PWN.
• Nowacki W. (1975): Dynamic Problems of thermoelasticity. - Noordhoff. International Publishing, Leyden, the Netherlands.
• Padvan J. (1974): Thermoelasticity of anisotropic half space. - ASME, J. App. Mech., vol.41, pp.935.
• Padvan J. (1975): Thermoelasticity of anisotropic generally laminated slabs subject to spatially periodic loads. - ASME, J. of App. Mech., vol.42, pp.341
• Tanigawa Y., Murakami H. and Ootao Y. (1989): Transient thermal stress analysis of a laminated composite beam. - J. Thermal Stresses, vol.25.
• Tao D. and Prevost J.H. (1984): Relaxation effects on generalized thermoelastic waves. - Journal of Thermal Stresses, vol.7, pp.79-89.
• Tauchert T.R. and Akoz A.Y. (1975): Stationary temperature and stress fields in an anisotropic elastic slab. - ASME, J. of App. Mech., vol.42, pp.647.
• Tauchert T.R. (1980): Thermoelastic analysis of laminated orthotropic slabs. - J. Thermal Stresses, vol.3, pp.117.
• Thomson W.T. (1950): Transmission of elastic waves through a stratified solid medium. - Journal of Applied Physics, vol.2, pp.89-93.
• Verma K.L., Hasebe N. and Seturaman R. (1999b): Dynamic distribution of displacements and thermal stresses in multilayered media in generalized thermoelasticity. - Proc. of Third Int. Conference on Thermal Stresses and related Topics, pp.577-580.
• Verma K.L. and Hasebe N. (1999b): On the propagation of generalized thermoelastic vibrations in plates. - Polish Acad. of Sci., IFTR, Eng. Trans, vol.47, pp.299-319.
• Verma K.L. and Hasebe N. (2001): Dispersion of thermoelastic waves in a plate with and without energy dissipation. - Int. J. of Thermophysics, vol.22, No.3, pp.957-978.
• Verma K.L. and Hasebe N. (2002): On the dynamic responses with and without energy dissipation in the thermoelastic rotating media. - International Journal of Applied Mechanics and Engineering, vol.7, No.4, pp.1329-1348.