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Disturbance due to inclined load in generalized thermoelastic medium with two temperatures

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Języki publikacji
EN
Abstrakty
EN
The present investigation is concerned with the deformation in a homogeneous, isotropic thermoelastic half-space with two temperatures as a result of an inclined load. The inclined load is assumed to be a linear combination of a normal load and a tangential load. The integral transform technique is used to solve the problem. As an application of the approach concentrated and uniformly distributed loads have been considered. The transformed components of displacement, stress, conductive temperature and temperature distribution are inverted by using the numerical inversion technique. The effect of two temperatures and response of two generalized theories of thermoelasticity (Lord and Shulman (L-S), Green and Lindsay (G-L) theories) on the resulting quantities have been depicted graphically for a particular model. Some particular cases of interest have been deduced from the present investigation.
Rocznik
Strony
695--706
Opis fizyczny
Bibliogr. 16 poz., wykr.
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autor
Bibliografia
  • Boley M. (1956): Thermoelastic and irreversible thermo dynamics. - J. Appl. Phys., vol.27, pp.240-253.
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  • Chen P.J, Gurtin M.E. and Willams W.O. (1969): On the thermoelastic material with two temperatures. - Z. Angew, Math. Phys., vol.20, pp.107-112.
  • Dhaliwal R.S. and Singh A. (1980): Dynamic coupled thermoelasticity. - Hindustance Publisher corp, New Delhi (India), pp.726
  • Green A.E. and Lindsay K.A. (1972): Thermoelasticity. - J. Elasticity, vol.2, pp.1-7.
  • Honig G. and Hirdes U. (1984): A method for the numerical inversion of Laplace transforms. - J. Comput. and Appl. Math., vol.10, pp.113-132.
  • Kumar R. and Ailwalia P. (2005): Moving inclined load at boundary interface. - Applied Mathematics and Mechanics, vol.26, No.4, pp.467-485.
  • Kumar R., Miglani A. and Garg N.R. (2000): Plane strain deformation of poroelasticity using eigen value approach. - Proceeding Indian Acad. Sci, Earth Planet Sci, vol.109, pp.371-380.
  • Kumar R. and Rani L. (2005): Response of thermoelastic half-space with voids due to inclined load. - Int. J. of Applied Mechanics and Engineering, vol.10, No.2, pp.281-294.
  • Lord H.W and Shulman Y. (1967): A generalized dynamical theory of thermoelasticity. - J. Mech. Phys. Solid, vol.15, pp.299-309.
  • Press W.H., Teukolshy S.A. and Vellerling W.T. (1986): Numerical recipes in FORTRAN. - Cambridge University Press, Cambridge.
  • Puri P. and Jordan P. (2006): On the propagation of harmonic plane waves under the two temperature theory. - Int. J. Eng.. Sci., vol.44, pp.1113-1126.
  • Quintanilla R. (2004): On existence; structural stability, convergence and spatial behaviour in thermoelastic with two temperatures. - Acta Mech., vol.168, pp.161-73.
  • Quintanilla R. (2004): Exponential stability and uniqueness in thermoelasticity with two temperature. - Series A: Mathematical Analysis, vol.11, pp.57-68.
  • Warren W.E and Chen P.J. (1973): Wave propagation in the two temperature theory of thermoelasticity. - Acta Mech., vol.16, pp.21-23.
  • Youssef H.M. (2005): Theory of two temperature generalized thermoelastic. - IMA Journal of Applied Mathematics, pp.1-8.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0037-0028
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