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Effect of hydrostatic initial stress in orthotropic generalized thermoelastic half-space

Autorzy
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The present problem is concerned with the deformation of an orthotropic thermoelastic medium with hydrostatic initial stress, under the influence of mechanical/thermal source acting on the plane surface. The normal mode analysis is used to obtain the analytical expressions of the displacement components, force stress and temperature distribution. The numerical results are given and presented graphically for the LORD-SHULMAN theory of thermoelasticity [1] when mechanical/thermal source is applied. Comparisons are made in the presence and absence of hydrostatic initial stress and anisotropy.
Rocznik
Strony
417--431
Opis fizyczny
Bibliogr. 27 poz., wykr.
Twórcy
autor
  • Surya School of Engineering and Technology, Department of Applied Sciences, Bapror, Tehsil Rajpura, Distt. Patiala, Punjab, India, praveen_2117@rediffmail.com
Bibliografia
  • 1. H. W. LORD and Y. SHULMAN, A generalized dynamical theory of thermoelasticity, Journal of Mechanics and Physics of Solids, 15, 299-309, 1967.
  • 2. I. M. MULLER, The coldness,universal function in thermoelastic bodies, Rational Mechanics Analysis, 41, 319-332, 1971.
  • 3. A. E. GREEN and N. LAWS, On the entropy production inequality, Archives of Rational Mechanics and Analysis, 45, 45-47, 1972.
  • 4. A. E. GREEN and K. A. LINDSAY, Thermoelasticity, Journal of Elasticity, 2, 1-7, 1972.
  • 5. J. R. BARBER and C. J. MARTIN-MORAN, Green’s functions for transient thermoelastic contact problems for the half-plane, Wear, 79, 11-19, 1982.
  • 6. J. R. BARBER, Thermoelastic displacements and stresses due to a heat source moving over the surface of a half-plane, ASME, Transactions, Journal of Applied Mechanics, 51, 636-40, 1984.
  • 7. H. H. SHERIEF, Fundamental solution of the generalized thermoelastic problem for short times, Journal of Thermal Stresses, 9, 2, 151-164, 1986.
  • 8. R. S. DHALIWAL, S. R. MAJUMDAR, and J. WANG, Thermoelastic waves in an infinite solid caused by a line heat source, International Journal of Mathematics and Mathematical Sciences, 20, 2, 323-334, 1997.
  • 9. D. S. CHANDRASEKHARAIAH and K. S. SRINATH, Thermoelastic interactions without energy dissipation due to a point heat source, Journal of Elasticity, 50, 2. 97-108, 1998.
  • 10. J. N. SHARMA, R. S. CHAUHAN, and R. KUMAR, Time-harmonic sources in a generalized thermoelastic continuum. Journal of Thermal Stresses, 23. 7, 657-674, 2000.
  • 11. J. N. SHARMA and R. S. CHAUHAN, Mechanical and thermal sources in a generalized thermoelastic half-space, Journal of Thermal Stresses, 24, 7, 651-675, 2001.
  • 12. J. N. SHARMA, P. K. SHARMA, and S. K. GUPTA, Steady state response to moving loads in thermoelastic solid media, Journal of Thermal Stresses, 27, 10, 931-951, 2004.
  • 13. S. DESWAL and S. CHOUDHARY, Two-dimensional interactions due to moving load in generalized thermoelastic solid with diffusion, Applied Mathematics and Mechanics, 29, 2, 207-221, 2008.
  • 14. M. A. BIOT, Mechanics of Incremental Deformations, John Wiley, New York 1965.
  • 15. 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.
  • 16. 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.
  • 17. S. 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.
  • 18. A. MONTANARO, On singular surface in isotropic linear thermoelasticity with initial stress, Journal of Acoustical Society of America, 106, 1586-1588, 1999.
  • 19. 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.
  • 20. M. I. A. OTHMAN and Y. SONG, Reflection of plane waves from an elastic solid half-space under hydrostatic initial stress without energy dissipation, International Journal of Solids and Structures, 44, 5651-5664, 2007.
  • 21. A. M. ABD-ALLA and S. M. AHMED, Rayleigh waves in an orthotropic thermoelastic medium under gravity field and initial stress, Journal of Earth, Moon and Planets, 75, 185-197, 1996.
  • 22. M. A. FAHMY and T. M. EL. SHAHAT, The effect of initial stress and inhomogeneity on the thermoelastic stresses in a rotating anisotropic solid, Archives of Applied Mechanics, 78, 431-443, 2007.
  • 23. R. KUMAR and M. SINGH, Reflection/Transmission of plane waves at an imperfectly bonded interface of two orthotropic generalized thermoelastic half-spaces, Materials Science and Engineering, 47, 83-96, 2008.
  • 24. PENG-FEI HOU, LI WANG, TAO YI, 2D Green functions for semi-infinite orthotropic thermoelastic plate, Applied Mathematical Modelling, 33, 3, 1674-1682, 2009.
  • 25. 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.
  • 26. 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.
  • 27. J. N. SHARMA, Some Considerations on the Rayleigh-Lamp Wave Propagation in Visco-Thermoelastic Plates, Journal of Vibration and Control, 11, 1311-1335, 2005.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0064-0008
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