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Generalized thermoelastic longitudinal waves in unbounded medium
Authors:Harinder Singh  A Singh
Institution:(1) Mathematics Department, Khalsa College, Amritsar, India;(2) Mathematics Department, Punjabi University, Patiala, India
Abstract:Summary In this paper the generalized thermoelastic longitudinal waves and the temperature field set up due to coupling of the displacement and the temperature fields, with heat wave travelling with certain finite velocity, in an unbounded medium are studied. The thermoelastic displacement potential and the temperature field at any point are obtained in terms of the surface integrals involving the potential, the temperature and their normal derivatives.Notation x i the cartesian coordinate system,i=1,2,3 - n (u i) the displacement vector - nabla (delta/deltax i) the del operator - deltat delta/deltat the derivative with respect to time - T o the temperature corresponding to the natural stat of zero stress and strain - T Absolute temperature - c e the specific heat - lambda, mgr Lamé's constants - rhov0 the density - agr coefficient of linear thermal expansion - K thermal conductivity coefficient - isinkk nablau - tau0 the relaxation time
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