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Reflection of plane waves in thermoelastic microstructured materials under the influence of gravitation

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Abstract

This paper presents an analysis of wave propagation in a microstretch elastic medium in the context of the Green–Naghdi (GN) theory. Moreover, the dissipation and the influence of gravity on reflected waves have also been investigated. In the present article, five reflected waves propagate into the medium for any incident wave. The problem is solved numerically, and the amplitude ratios are graphically represented allowing for a comparison between the simple GN theory and the case in which one considers the effect of gravity on waves.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, South Valley University, Qena, 83523, Egypt

    S. M. Abo-Dahab

  2. Department of Mathematics, Faculty of Science, Taif University, Taif, 888, Saudi Arabia

    S. M. Abo-Dahab

  3. Department of Mathematics, COMSATS University Islamabad, Wah Cantonment, Pakistan

    Adnan Jahangir

  4. Department of Mathematics, Faculty of Science, Sohag University, Sohâg, Egypt

    Abo-el-nour N. Abd-alla

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  1. S. M. Abo-Dahab
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  2. Adnan Jahangir
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  3. Abo-el-nour N. Abd-alla
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Correspondence to Abo-el-nour N. Abd-alla.

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Communicated by Francesco dell’Isola.

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Abo-Dahab, S.M., Jahangir, A. & Abd-alla, Aen.N. Reflection of plane waves in thermoelastic microstructured materials under the influence of gravitation. Continuum Mech. Thermodyn. 32, 803–815 (2020). https://doi.org/10.1007/s00161-018-0739-2

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