Coupled systems mechanics

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Memory response in elasto-thermoelectric spherical cavity

  • El-Attar, Sayed I. (Department of Mathematics, Faculty of Science, Northern Border University) ;
  • Hendy, Mohamed H. (Department of Mathematics, Faculty of Science, Northern Border University) ;
  • Ezzat, Magdy A. (Department of Mathematics, College of Science and Arts, Al-Qassim University)
  • Received : 2019.09.09
  • Accepted : 2020.01.08
  • Published : 2020.08.25
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Abstract

A mathematical model of electro-thermoelasticity subjected to memory-dependent derivative (MDD) heat conduction law is applied to a one-dimensional problem of a thermoelectric spherical cavity exposed to a warm stun that is an element of time in the presence of a uniform magnetic field. Utilizing Laplace transform as an instrument, the issue has been fathomed logically within the changed space. Numerical inversion of the Laplace transform is carried for the considered distributions and represented graphically. Some comparisons are shown in the figures to estimate the effects of MDD parameters and thermoelectric properties on the behavior of all considered fields.

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References

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