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Coupled Systems Mechanics
  Volume 9, Number 6, December 2020 , pages 521-538
DOI: https://doi.org/10.12989/csm.2020.9.6.521
 

Time Harmonic interactions in the axisymmetric behaviour of transversely isotropic thermoelastic solid using New M-CST
Parveen Lata and Harpreet Kaur

 
Abstract
    The present study is concerned with the thermoelastic interactions in a two dimensional homogeneous, transversely isotropic thermoelastic solid with new modified couple stress theory without energy dissipation and with two temperatures in frequency domain. The time harmonic sources and Hankel transform technique have been employed to find the general solution to the field equations. Concentrated normal force, normal force over the circular region, thermal point source and thermal source over the circular region have been taken to illustrate the application of the approach. The components of displacements, stress, couple stress and conductive temperature distribution are obtained in the transformed domain. The resulting quantities are obtained in the physical domain by using numerical inversion technique. Numerically simulated results are depicted graphically to show the effect of angular frequency on the resulted quantities.
 
Key Words
    transversely isotropic; thermoelastic; time harmonic source; Hankel transform; new modified couple stress theory; two temperature
 
Address
Parveen Lata and Harpreet Kaur: Department of Basic and Applied Sciences, Punjabi University, Patiala, Punjab, India
 

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