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Effect of hydrostatic initial stress in Green-Naghdi (Type III) thermoelastic half-space subjected to ramp-type heating and loading

Autorzy
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The Green and Naghdi theory of thermoelasticity is employed to study the deformation of thermoelastic solid half-space under hydrostatic initial stresses, subjected to ramp-type heating and loading at the free surface. A linear temperature ramping function is used to more realistically model thermal loading of the half-space surface. The components of displacement, stress arid temperature distribution are obtained in Laplace and Fourier domain by applying integral transforms. These components are then obtained in the physical domain by applying a numerical inversion method. Numerical computations are carried out for a particular example of the model. The results are also presented graphically to show the effect of hydrostatic initial stress and ramping parameter in the medium.
Rocznik
Strony
403--415
Opis fizyczny
Bibliogr. 35 poz., wykr.
Twórcy
autor
  • Department of Applied Sciences, Surya School of Engineering and Technology, Bapror, NH 1, Rajpura, District Patiala, Punjab, India, praveen_2117@rediffmail.com
Bibliografia
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  • 6. A. E. GREEN, P.M. NAGHDI, A re-examination of the basic postulates of thermo-mechanics, Proceedings of the Royal Society London A, 432, 171-194, 1991.
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  • 10. J. R. BARBER, Thermoelastic displacements and stresses due to a heat source moving over the surface of a hal-plane, ASME, Transactions, Journal of Applied Mechanics, 51, 636-640, 1984.
  • 11. H. H. SHERIEF, Fundamental solution of the generalized thermoelastic problem for short times, Journal of Thermal Stresses, 9, 2, 151-164, 1986. caused by a line heat source, International Journal of Mathematics and Mathematical Science. 20, 2, 323-334, 1997.
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  • 18. M. A. BIOT. Mechanics of incremental deformations, John Wiley and Sons, Inc., New York, 1965.
  • 19. A. CHATTOPADHYAY, S. BOSE, and M. CHAKRABORTY, Reflection of elastic waves under initial stress at a free surface, Journal of Acoustical Society of America, 72, 255-263, 1982.
  • 20. R. S. SIDHU and S. J. SINGH, Comments on “Reflection of elastic waves under initial stress at a free surface”, Journal of Acoustical Society of America, 74, 1640-1642, 1983.
  • 21. A. DEY, N. ROY, and A. DUTTA, Reflection and refraction of P-waves under initial stresses at an interface, Indian Journal of Pure and Applied Mathematics, 16, 1051-1071, 1985.
  • 22. A. MONTANARO, On Singular surface in isotropic linear thermoelasticity with initial stress, Journal of Acoustical Society of America, 106, 1586-1588, 1999.
  • 23. B. SINGH, A. KUMAR, and J. SINGH, Reflection of generalized thermoelastic waves from a solid half-space under hydrostatic initial stress, Journal of Applied Mathematics and Computation, 177, 170-177, 2006.
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  • 26. P. AILAWALIA, S. KUMAR, and G. KHURANA, Deformation in a generalized thermoelastic medium with hydrostatic initial stress subjected to different sources, Mechanics and Mechanical Engineering, 13, 1, 5-24, 2009.
  • 27. J. C. MISRA, S.C. SAMANTA, and A. K. CHAKRABATRI, Magneto-Thermoelastic interaction in an Aeolotropic solid cyclinder subjected to a ramp-type heating, International Journal of Engineering Science, 29, 1065-1075, 1991.
  • 28. J. C. MISRA, N. C. CHATTOPADHYAY, and S. C. SAMANTA, Study of the thermoelastic interactions in an elastic half-space subjected to a ramp-type heating-A state-space approach, International Journal of Engineering Science, 34, 5, 579-596, 1996.
  • 29. H. M. YOUSSEF, The dependence of the modulus of elasticity and the thermal conductivity on the reference temperature in generalized thermoelasticity for an infinite material with a spherical cavity, Journal of Applied Mathematics and Mechanics, 26, 470-475, 2005.
  • 30. H. M. YOUSSEF, Two-dimensional generalized thermoelasticity problem for a half-space subjected to ramp-type heating, European Journal of Mechanics A/Solids, 25, 745-763, 2006-a.
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  • 32. H. M. YOUSSEP and H. AL-HARBY AMNAH, State-Space approach of two-temperature generalized thermoelasticity of infinite body with a spherical cavity subjected to different types of thermal loading, Archives of Applied Mechanics, 77, 675-687, 2007.
  • 33. H. M. YOUSSEP, Two-dimensional problem of a two-temperature generalized thermoelastic half-space subjected to ramp-type heating, International Journal of Computer Mathematics and Modelling, 19, 201-216, 2008.
  • 34. P. AILAWALIA and N.S. NARAH, Effect of rotation in a generalized thermoelastic medium with hydrostatic initial stress subjected to ramp-type heating and loading, International Journal of Thermophysics, 30, 2078-2097, 2009.
  • 35. J. N. SHARMA and V. KUMAR, Plane strain problems of transversely isotropic thermoelastic media, Journal of Thermal Stresses, 20, 463-476, 1997.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0064-0007
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