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Deformation in a micropolar material under the influence of Hall current and initial stress fields in the context of a double-temperature thermoelastic theory involving phase lag and higher orders

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Abstract

This work aims to propose a generalized micropolar thermoelastic model for the study of semisolid space. Essentially, it is intended to develop the generalized theory of thermoelasticity combined with the framework of a linear two-temperature theory to present the thermal and mechanical analysis of micropolar magneto-thermoelastic media influenced by initial stress. The higher-order derivatives thermoelasticity model has been applied to establish the model based on two-phase lags under the influence of magnetic Hall current. The normal mode analysis technique was used to solve specific boundary-value problems in the applied theory of magneto-thermostatic micropolar systems. The constitutive equations are constructed, and two distinct temperatures are obtained, respectively, conductive temperature and thermodynamic temperature, as well as displacements, partial rotation, thermal stresses and couple stresses. In addition, the critical values of the physical parameters of the Hall current and initial stress are determined, as is their influence on the wave fields, and the characteristics of such media are determined. Some points of interest highlighting the effects of the magnetic Hall current in the current context have been completed. A comparison was made between different models of thermoelastic theories of higher-order time derivatives.

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Acknowledgements

This work was funded by the Deanship of Scientific Research at Jouf University through the Fast-track Research Funding Program.

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  1. Department of Mathematics, College of Science and Arts, Jouf University, 75911, Al-Qurayyat, Saudi Arabia

    Ahmed E. Abouelregal

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

    Ahmed E. Abouelregal

  3. Department of Mathematics, Faculty of Science, Tanta University, Tanta, 31527, Egypt

    Ali F. Rashid

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Abouelregal, A.E., Rashid, A.F. Deformation in a micropolar material under the influence of Hall current and initial stress fields in the context of a double-temperature thermoelastic theory involving phase lag and higher orders. Acta Mech (2024). https://doi.org/10.1007/s00707-024-03922-1

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