Coupled systems mechanics

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Time harmonic interactions in fractional thermoelastic diffusive thick circular plate

  • Lata, Parveen (Department of Basic and Applied Sciences, Punjabi University)
  • Received : 2018.09.10
  • Accepted : 2018.12.20
  • Published : 2019.02.25
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Abstract

Here in this investigation, a two-dimensional thermoelastic problem of thick circular plate of finite thickness under fractional order theory of thermoelastic diffusion has been considered in frequency domain. The effect of frequency in the axisymmetric thick circular plate has been depicted. The upper and lower surfaces of the thick plate are traction free and subjected to an axisymmetric heat supply. The solution is found by using Hankel transform techniques. The analytical expressions of displacements, stresses and chemical potential, temperature change and mass concentration are computed in transformed domain. Numerical inversion technique has been applied to obtain the results in the physical domain. Numerically simulated results are depicted graphically. The effect frequency has been shown on the various components.

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References

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