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Thermo-diffusive interactions in a fiber-reinforced elastic medium with gravity and initial stress

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Abstract

In the present article, an appraisement is made to investigate the effects of gravity and initial stress in a fiber-reinforced, anisotropic, thermoelastic half-space with diffusion. The enuciation is applied to generalized thermoelasticity based on Lord–Shulman (L–S) theory. Solutions are obtained in the frequency domain, by using a standard mathematical technique. The physical quantities are established numerically and represented graphically in the presence and absence of gravity, initial stress, fiber-reinforcement and diffusion. The results indicate that the effects of gravity, initial stress and the parameters of fiber-reinforced material medium are very pronounced. Moreover, some particular cases of interest have been deduced from the present investigation. The datum of a finite speed of wave propagation is observed for each field.

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Acknowledgements

One of the authors, Suresh Kumar Sheokand, is thankful to University Grants Commission, New Delhi, for the financial support Vide Letter no. F. 17- 11/2008 (SA-1).

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Correspondence to Kapil Kumar Kalkal.

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The authors declare that they have no conflict of interest.

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Technical Editor: Paulo de Tarso Rocha de Mendonça, Ph.D.

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Deswal, S., Sheokand, S.K. & Kalkal, K.K. Thermo-diffusive interactions in a fiber-reinforced elastic medium with gravity and initial stress. J Braz. Soc. Mech. Sci. Eng. 41, 23 (2019). https://doi.org/10.1007/s40430-018-1516-7

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  • DOI: https://doi.org/10.1007/s40430-018-1516-7

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