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Fundamental solution of plane waves in generalized thermo-microstretch elastic half-space

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Języki publikacji
EN
Abstrakty
EN
A general model of equations of generalized thermo-microstretch for a homogeneous isotropic elastic half space is given. The formulation is applied to generalized thermoelasticity theories, the Lord-Shulman and Green-Lindsay theories, as well as the classical dynamical coupled theory. The normal mode analysis is used to obtain the exact expressions for the displacement components, force stresses, temperature, couple stresses and microstress distribution. The variations of the variables through the horizontal distance are illustrated graphically. Comparisons are made with the results in the presence and absence of microstretch constants and between the three theories for two different times.
Rocznik
Strony
175--197
Opis fizyczny
Bibliogr. 16 poz., wykr.
Twórcy
autor
autor
  • Department of Mathematics, Faculty of Science, Zagazig University P.O. Box 44519, Zagazig, EGYPT, m_i_othman@yahoo.com
Bibliografia
  • Bofill F. and Quintanilla R. (1995): Some qualitative results for the linear theory of thermo-microstretch elastic solids. - Int. J. Eng. Sci., vol.33, pp.2115-2125.
  • De Cicco S. (2003): Stress concentration effects in microstretch elastic bodies. - Int. J. Eng. Sci., vol.41, pp.187-199.
  • De Cicco S. and Nappa L. (1999): On the theory of thermomicrostretch elastic solids. - J. Thermal Stresses, vol.22, pp.565-580.
  • De Cicco S. and Nappa L. (2000): Some results in the linear theory of thermo-microstretch elastic solids. - J. Math. Mech., vol.5, pp.467-482.
  • Eringen A.C. (1966): Linear theory of micropolar elasticity. - J. Math. Mech., vol.15, pp.909-923.
  • Eringen A.C. (1968): Theory of micropolar elasticity. In: H. Liebowitz (ED.). - Fracture, vol.2, Academic Press, New York, pp.621-729.
  • Eringen A.C. (1971): Micropolar elastic solids with stretch. - Ari Kitabevi Matbassi, Istanbul, vol.24, pp.1-18.
  • Eringen A.C. (1990): Theory of thermo-microstretch elastic solids. - Int. J. Eng. Sci., vol.28, pp.291-1301.
  • Eringen A.C. (1999): Microcontinuum Field Theories I: Foundation and Solids. - New York, Berlin, Heidelberg: Springer-Verlag.
  • Eringen A.C. and Suhubi E.S. (1964): Non linear theory of simple micropolar solids. - Int. J. Eng. Sci., vol.2, pp.1-18.
  • Green A.E. and Laws N. (1972): On the entropy production inequality. - Arch. Ration. Mech. Anal., vol.45, pp.47-59.
  • Green A.E. and Lindsay K.A. (1972): Thermoelasticity. - J. Elasticity, vol.2, pp.1-7.
  • Iesau D. and Nappa L. (2001): On the plane strain of microstretch elastic solids. - Int. J. Eng. Sci., vol.39, pp.1815-1835.
  • Iesau D. and Pompei A. (1995): On the equilibrium theory of microstretch elastic solids. - Int. J. Eng. Sci., vol.33, pp.399-410.
  • Lord H.W. and Shulman Y. (1967): A generalized dynamical theory of thermoelasticity. - J. Mech. Phys. Solid, vol.15, pp.299-306.
  • Othman M.I.A. (2004): Relaxation effects on thermal shock problems in an elastic half-space of generalized magneto-thermoelastic waves. - Mechanics and Mechanical Engineering, vol.7, pp.165-178.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0003-0029
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