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A two-dimensional problem of a mode-I crack in a rotating fibre-reinforced isotropic thermoelastic medium under dual-phase-lag model

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Abstract

In the present work, a general model of the equations of generalized thermoelasticity for a homogeneous isotropic elastic half-space solid whose surface is subjected to a mode-I crack problem under the effect of rotation is investigated. The normal mode analyses are used to obtain the expressions for the temperature distribution, the displacement component and thermal stresses in the context of the dual-phase-lag theory of thermoelasticity proposed by Tzou. The boundary of the crack is subjected to a prescribed stress distribution and temperature. Some particular cases are also discussed in the context of the problem. The numerical values of the temperature distribution, the displacement components and thermal stresses are also computed for a suitable material and the results are presented graphically. The effects of rotation, reinforcement and the phase lags parameters are discussed in detail in the light of earlier works.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Mansoura University, P. O. Box 35516, Mansoura, Egypt

    AHMED E ABOUELREGAL

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

    S M ABO-DAHAB

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

    S M ABO-DAHAB

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  1. AHMED E ABOUELREGAL
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  2. S M ABO-DAHAB
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Correspondence to S M ABO-DAHAB.

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ABOUELREGAL, A.E., ABO-DAHAB, S.M. A two-dimensional problem of a mode-I crack in a rotating fibre-reinforced isotropic thermoelastic medium under dual-phase-lag model. Sādhanā 43, 13 (2018). https://doi.org/10.1007/s12046-017-0769-7

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  • DOI: https://doi.org/10.1007/s12046-017-0769-7

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