Geomechanics and Engineering

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Fractional order generalized thermoelastic study in orthotropic medium of type GN-III

  • Lata, Parveen (Department of Basic and Applied Sciences, Punjabi University Patiala) ;
  • Zakhmi, Himanshi (Department of Basic and Applied Sciences, Punjabi University Patiala)
  • Received : 2019.07.30
  • Accepted : 2019.11.02
  • Published : 2019.11.20
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Abstract

The present paper is concerned with the investigation of disturbances in orthotropic thermoelastic medium by using fractional order heat conduction equation with three phase lags due to thermomechanical sources. Laplace and Fourier transform techniques are used to solve the problem. The expressions for displacement components, stress components and temperature change are derived in transformed domain and further in physical domain using numerical inversion techniques. The effect of fractional parameter based on its conductivity i.e., ($0<{\alpha}<1$ for weak, ${\alpha}=1$ for normal, $1<{\alpha}{\leq}2$ for strong conductivity) is depicted graphically on various components.

Keywords

References

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