Geomechanics and Engineering

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Effect of the gravity on a nonlocal thermoelastic medium with a heat source using fractional derivative

  • Samia M. Said (Department of Mathematics, Faculty of Science, Zagazig University)
  • Received : 2023.11.28
  • Accepted : 2024.06.03
  • Published : 2024.06.25
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Abstract

The purpose of this paper is to depict the effect of gravity on a nonlocal thermoelastic medium with initial stress. The Lord-Shulman and Green-Lindsay theories with fractional derivative order serve as the foundation for the formulation of the fundamental equations for the problem. To address the problem and acquire the exact expressions of physical fields, appropriate non-dimensional variables and normal mode analysis are used. MATLAB software is used for numerical calculations. The projected outcomes in the presence and absence of the gravitational field, along with a nonlocal parameter, are compared. Additional comparisons are made for various fractional derivative order values. It is evident that the variation of physical variables is significantly influenced by the fractional derivative order, nonlocal parameter and gravity field.

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References

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