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Two-temperature problem of a fiber-reinforced thermoelastic medium with a Mode-I crack under Green–Naghdi theory

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Abstract

A general model of equations of Green–Naghdi theory of type (II and III) with two-temperature are applied to study the influence of reinforcement on total deformation for an isotropic infinite space weakened by a finite linear opening Mode-I crack. The crack is subjected to prescribed temperature and stress. Normal mode analysis in used to obtain the exact expressions for the field variables. The variations of the considered variables with horizontal distance are illustrated graphically. Comparisons are made with the results in two types with and without two -temperatures. A comparison also is made between the two types for different depths.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Calcutta, Kolkata, 700009, India

    Nantu Sarkar

  2. Higher Institute of Engineering, Department of Engineering, Mathematics and Physics, Shorouk Academy, El Shorouk, Egypt

    Sarhan Y. Atwa

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  1. Nantu Sarkar
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  2. Sarhan Y. Atwa
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Correspondence to Nantu Sarkar.

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Sarkar, N., Atwa, S.Y. Two-temperature problem of a fiber-reinforced thermoelastic medium with a Mode-I crack under Green–Naghdi theory. Microsyst Technol 25, 1357–1367 (2019). https://doi.org/10.1007/s00542-018-4167-9

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  • DOI: https://doi.org/10.1007/s00542-018-4167-9

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