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Geomechanics and Engineering
  Volume 22, Number 2, July25 2020, pages 109-117
DOI: http://dx.doi.org/10.12989/gae.2020.22.2.109
 


Deformation in a nonlocal magneto-thermoelastic solid with hall current due to normal force
Parveen Lata and Sukhveer Singh

 
Abstract
    The present article is concerned about the study of disturbances in a homogeneous nonlocal magneto-thermoelastic medium under the combined effects of hall current, rotation and two temperatures. The model under assumption has been subjected to normal force. Laplace and Fourier transform have been used for finding the solution to the field equations. The analytical expressions for conductive temperature, stress components, normal current density, transverse current density and displacement components have been obtained in the physical domain using a numerical inversion technique. The effects of hall current and nonlocal parameter on resulting quantities have been depicted graphically. Some particular cases have also been figured out from the current work. The results can be very important for the researchers working in the field of magneto-thermoelastic materials, nonlocal thermoelasticity, geophysics etc.
 
Key Words
    thermoelasticity; nonlocality; nonlocal theory of thermoelasticity; normal force; hall current; rotation; Laplace and Fourier transform
 
Address
Parveen Lata: Department of Basic and applied Sciences, Punjabi University Patiala, India

Sukhveer Singh: Punjabi University APS Neighbourhood Campus, Dehla Seehan, India
 

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