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A general model of generalized thermoelasticity with temperature-dependent modulus of elasticity

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A new formula of generalized thermoelasticity equations for isotropic media is established. The present model does apply to generalizations, the Lord-Shulman theory with one relaxation time and the Green-Lindsay theory with two relaxation times, as well as to the coupled theory. The normal mode analysis is used to obtain the exact expressions for the temperature distribution, thermal stresses, and the displacement components. The resulting formulation is applied to three different concrete problems. The first one deals with a thick plate subject to heating on parts of the upper and lower surfaces of the plate; the second one concerns the case of a heated punch moving across the surface of a semi-infinite thermoelastic half-space subject to appropriate boundary conditions; and the third problem deals with a plate with thermo-insulated surfaces subjected to time-dependent compression. Numerical results are given and illustrated graphically for the problem considered. A comparison was made with the results obtained in the case of temperature-independent modulus of elasticity in each theory.
Rocznik
Strony
67--82
Opis fizyczny
Bibliogr. 18 poz., wykr.
Twórcy
autor
  • Alexandria University Department of Mathematics Faculty of Education Alexandria, Egypt
autor
  • Alexandria University Department of Mathematics Faculty of Education Alexandria, Egypt
  • Alexandria University Department of Mathematics Faculty of Education Alexandria, Egypt
Bibliografia
  • 1. W. NOWACKI, Thermoelasticity, Addison-Wesley, London 1962.
  • 2. V.A. LOMAKIN, The theory of elasticity of non-homogeneous bodies, Moscow 1976.
  • 3. Y. TANIGAWA, Some basic thermoelastic problems for non-homogeneous structural materials, Appl. Mech. Rew., 48, 115, 1995.
  • 4. Y. OOTAO, T. AKAI, Y. TANIGAWA, Three-dimensional transient thermal stress analysis of nonhomogeneous hollow circular cylinder due to moving heat source in the axial direction, J. Thermal Stresses, 18, 89, 1995.
  • 5. M. BIOT, Thermoelasticity and irreversible thermodynamics, J. Appl. Phys., 27, 240-253, 1956.
  • 6. H. LORD, Y. SHULMAN, A Generalized dynamical theory of thermoelasticity, J. Mech. Phys. Solid, 15, 299-309, 1967.
  • 7. I. MULLER, The coldness, a universal function in thermoelastic solids, Arch. Rat. Mech. Anal., 41, 319-332, 1971.
  • 8. A.E. GREEN, N. LAWS, On the entropy production inequality, Arch. Rat. Anal., 54, 17-53, 1972.
  • 9. A.E. GREEN, K. LINDSAY, Thermoelasticity, J. Blast., 2, 1-7, 1972.
  • 10. E. SUHUBI, Thermoelastic solids, [in:] Continuum Physics II chap. 2, A.C. ERINGEN [Ed.j, Academic Press, New York 1975.
  • 11. S.S. MANSON, Behavior of material under conditions of thermal stress, NACA Report, p.1170, 1954.
  • 12. M.A. EZZAT, M. OTHMAN, Electromagneto-thermoelastic plane waves with two relaxation times in a medium of perfect conductivity, Int. J. Engng. Sci., 38, 107-120, 2000.
  • 13. M.A. EZZAT, M.I. OTHMAN, A.S. EL-KARAMANY, Electromagneto-thermoelastic plane waves with thermal relaxation time in a medium o perfect conductivity, J. Thermal Stresses, 24, 411-432, 2001.
  • 14. M.I. OTHMAN, M.A. EZZAT, S.A. ZAKI, A.S. EL-KARAMANY, Generalized thermo-viscoelastic plane waves with two relaxation times, Int. J. Engng. Sci., 40, 1329-1347, 2002.
  • 15. M.A. EZZAT, M.I. OTHMAN, A.S. EL-KARAMANY, Electromagneto-thermoelastic plane waves with thermal relaxation time in a medium of perfect conductivity, J. Thermal Stresses, 24, 411-432, 2001.
  • 16. M.A. EZZAT, A.S. EL-KARAMANY, The uniqueness and reciprocity theorems for generalized thermoviscoelasticity for anisotropic media, J. Thermal Stresses, 25, 507-522, 2002.
  • 17. M.A. EZZAT, M.I. OTHMAN, A.S. EL-KARAMANY, The dependence of the modulus of elasticity on the reference temperature in generalized thermoelasticity, J. Thermal Stresses, 24, 1159-1176, 2001.
  • 18. A.H. NAYFEH, S. NEMAT—NASSER, Electromagneto-thermoelastic plane wave in solids with thermal relaxation, J. Appl. Mech., 113, 108-113, 1972.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0006-0022
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