Memory response in elasto-thermoelectric spherical cavity

Sayed I. El-Attar , Mohamed H. Hendy , Magdy A. Ezzat

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.

Key Words

electro-thermoelasticity; memory-dependent derivative; thermoelectric properties; spherical cavity; Laplace transforms; numerical results

Address

Sayed I. El-Attar: Department of Mathematics, Faculty of Science, Northern Border University, Arar, Saudi Arabia Mohamed H. Hendy: Department of Mathematics, Faculty of Science, Northern Border University, Arar, Saudi Arabia; Department of Mathematics, Faculty of Science, Al Arish University, Al Arish, Egypt Magdy A. Ezzat: Department of Mathematics, College of Science and Arts, Qassim University, Al-Bukairyah, Saudi Arabia; Department of Mathematics, Faculty of Education, Alexandria University, Alexandria, Egypt

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