Structural Engineering and Mechanics

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Vibration analysis of wave motion in micropolar thermoviscoelastic plate

  • Kumar, Rajneesh (Department of Mathematics, Kurukshetra University) ;
  • Partap, Geeta (Department of Mathematics, Dr. B.R. Ambedkar National Institute of Technology)
  • Received : 2010.01.25
  • Accepted : 2010.06.24
  • Published : 2011.09.25
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Abstract

The aim of the present article is to study the micropolar thermoelastic interactions in an infinite Kelvin-Voigt type viscoelastic thermally conducting plate. The coupled dynamic thermoelasticity and generalized theories of thermoelasticity, namely, Lord and Shulman's and Green and Lindsay's are employed by assuming the mechanical behaviour as dynamic to study the problem. The model has been simplified by using Helmholtz decomposition technique and the resulting equations have been solved by using variable separable method to obtain the secular equations in isolated mathematical conditions for homogeneous isotropic micropolar thermo-viscoelastic plate for symmetric and skew-symmetric wave modes. The dispersion curves, attenuation coefficients, amplitudes of stresses and temperature distribution for symmetric and skew-symmetric modes are computed numerically and presented graphically for a magnesium crystal.

Keywords

References

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