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Structural Engineering and Mechanics
  Volume 74, Number 3, May10 2020, pages 341-350
DOI: http://dx.doi.org/10.12989/sem.2020.74.3.341
 


Time harmonic interactions in non local thermoelastic solid with two temperatures
Parveen Lata and Sukhveer Singh

 
Abstract
    The present investigation is concerned with two dimensional deformation in a non local thermoelastic solid with two temperatures due to time harmonic sources. The nonlocal thermoelastic solid is homogeneous with the effect of two temperature parameters. Fourier transforms are used to solve the problem. The bounding surface is subjected to concentrated and distributed sources. The analytical expressions of displacement, stress components and conductive temperature are obtained in the transformed domain. Numerical inversion technique has been applied to obtain the results in the physical domain. Numerical simulated results are depicted graphically to show the effect of nonlocal parameter and frequency on the components of displacements, stresses and conductive temperature. Some special cases are also deduced from the present investigation.
 
Key Words
    thermoelasticity; nonlocality; nonlocal theory of thermoelasticity; Eringen model of nonlocal theories; two temperature; time harmonic sources
 
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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