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Effect of Higher-Order Terms in the Thermal Transient Stress Intensity Factor for a Cracked Semi-Infinite Medium Under Thermal Shock

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Strength of Materials Aims and scope

This paper studies the transient thermal fracture problem of a semi-infinite medium containing an edge crack using the non-Fourier heat conduction theory. Dual-phase-lag (DPL) model, which takes into account the effect of higher-order terms, (named x-DPL model) is proposed to predict the temperature gradient of the medium, which experiences a heat shock on its edge. The temperature gradient and the corresponding thermal stresses are obtained by applying the Laplace transform method and neglecting the thermo-elastic coupling and inertial effects in the absence of crack for the semi-infinite medium. Thereafter, mode I crack problem is formulated in the Laplace domain using the superposition method. Numerical results of the thermal stress and mode I stress intensity factor (SIF) are calculated by implementing Durbin’s method in the time domain. The effects of higher-order terms on the axial thermal stress and the mode I SIF are investigated and discussed. The DPL model that considers higher-order terms is more conservative than this model neglecting these terms.

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Authors and Affiliations

  1. Faculty of New Sciences and Technologies, University of Tehran, Tehran, Iran

    M. Fakoor & S. Sotoudeh

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  1. M. Fakoor
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  2. S. Sotoudeh
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Correspondence to M. Fakoor.

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Translated from Problemy Mitsnosti, No. 3, p. 118, May – June, 2022.

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Fakoor, M., Sotoudeh, S. Effect of Higher-Order Terms in the Thermal Transient Stress Intensity Factor for a Cracked Semi-Infinite Medium Under Thermal Shock. Strength Mater 54, 525–535 (2022). https://doi.org/10.1007/s11223-022-00427-x

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