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Magnetothermoelastic Interaction in a Rod of Finite Length Subjected to Moving Heat Sources Via Eringen’s Nonlocal Model

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Journal of Engineering Physics and Thermophysics Aims and scope

The generalized nonlocal thermoelastic model in the context of Eringen’s nonlocal elasticity is applied to investigate the magnetothermoelastic interactions in a rod of finite length placed in a magnetic field with a moving source. With the use of the Laplace transform and numerical Laplace inversion techniques, the governing equations are solved, and the solutions in the time domain are obtained numerically. The distributions of the nonlocal thermal stress, temperature, and the displacement in the rod are obtained and presented graphically. The effects of the rotational speed and the speed of the moving heat source, nonlocal parameter, and the applied magnetic field intensity on the considered variables are discussed in detail.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh, 33516, Egypt

    A. M. Zenkour

  2. Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat, Saudi Arabia

    A. E. Abouelregal

  3. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt

    A. E. Abouelregal

Authors
  1. A. M. Zenkour
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  2. A. E. Abouelregal
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Correspondence to A. M. Zenkour.

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Published in Inzhenerno-Fizicheskii Zhurnal, Vol. 95, No. 3, pp. 665–675, May–June, 2022.

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Zenkour, A.M., Abouelregal, A.E. Magnetothermoelastic Interaction in a Rod of Finite Length Subjected to Moving Heat Sources Via Eringen’s Nonlocal Model. J Eng Phys Thermophy 95, 651–661 (2022). https://doi.org/10.1007/s10891-022-02521-y

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  • DOI: https://doi.org/10.1007/s10891-022-02521-y

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