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Dynamic Mathematical Model of Modified Couple Stress Thermoelastic Diffusion with Phase-Lag

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Analysis of non-local, phase-lag, and temperature-dependent properties of modified couple stress thermoelastic diffusive medium is examined in conditions of exciting by thermomechanical sources. The governing equations are framed involving non-local, phase-lag, and temperature-dependent properties. These equations are simplified by using the potential functions and employing the Laplace and Fourier transforms for further study. The problem is solved by deploying suitable thermomechanical loads. A specific type of normal and thermal loading of the ramp-type is considered. The transformed components of the physical field like the displacements, stresses, temperature change, and chemical potential are derived. A numerical analysis is performed for these quantities using the numerical technique. The graphs of the resulting quantities are shown to analyze the impact of non-local, phase-lag, and temperature-dependent properties. The specific cases are also mentioned.

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Authors and Affiliations

  1. Department of Mathematics, Kurukshetra University, Kurukshetra, India

    R. Kumar

  2. Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University, Phagwara, India

    S. Kaushal & D. Vikram

Authors
  1. R. Kumar
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  2. S. Kaushal
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  3. D. Vikram
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Correspondence to S. Kaushal.

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Published in Prykladna Mekhanika, Vol. 58, No. 3, pp. 116–131, May–June 2022.

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Kumar, R., Kaushal, S. & Vikram, D. Dynamic Mathematical Model of Modified Couple Stress Thermoelastic Diffusion with Phase-Lag. Int Appl Mech 58, 348–360 (2022). https://doi.org/10.1007/s10778-022-01160-3

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  • DOI: https://doi.org/10.1007/s10778-022-01160-3

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