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A Study of Thermo-Mechanical Interactions in the Rotating Micropolar Elastic Solid with Two Temperatures Using Memory-Dependent Derivative

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Abstract

In this work, the memory response of a rotating micropolar elastic media under the thermo-mechanical effect has been investigated. The Helmholtz potential’s along with the normal mode analysis, is utilized for finding the solution of the required problem. Additionally, the Matlab software is used for numerical computations. The behaviour of the field quantities is studied for a fixed kernel \(\tilde {K}(t - r)\) and for distinct values of time, t. Finally, the material properties of magnesium are taken under consideration to demonstrate the components of displacement, force stress, couple stress, thermodynamic temperature, as well as the conductive temperature distribution graphically.

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Authors and Affiliations

  1. Department of Mathematics, Lovely Professional University, 144411, Phagwara, Punjab, India

    Varun Kumar & Rafiya Nazir

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  1. Varun Kumar
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  2. Rafiya Nazir
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Correspondence to Varun Kumar or Rafiya Nazir.

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Kumar, V., Nazir, R. A Study of Thermo-Mechanical Interactions in the Rotating Micropolar Elastic Solid with Two Temperatures Using Memory-Dependent Derivative. Mech. Solids 58, 325–337 (2023). https://doi.org/10.3103/S0025654422601227

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