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  2016, Vol. 37 Issue (3): 254-263    DOI:
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Effect of temperature dependency on thermoelastic response during transient thermal shock
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Abstract  The thermoelastic behavior, induced by transient thermal shock, has significant difference once considering the temperature dependency of material properties. The research on the thermoelastic response of materials with variable material properties, especially the prediction of thermal stresses, is very important to evaluate their lives in some circumstance with extreme heat supply. The thermoelastic response of materials with temperature-dependent properties, suffered the transient thermal shock, are studied in this paper. The equations with variable material properties are proposed in the context of generalized theory of thermoelasticity without energy dissipation (Green-Naghdi II model). The analytical solutions of the problem for a semi-infinite body, subjected to a sudden thermal shock in its boundary, are derived by means of the Laplace transform technique and the Krichhoff transform, where the variable thermal material properties are assumed to be a linear function of real temperature. The explicit s of two waves, named as thermal wave and thermoelastic wave, respectively, are obtained from these analytical solutions, which can clearly reveal the propagation of these two waves and their connection with characteristic parameters, such as thermo-mechanical coupling coefficient and temperature factors. The distributions of the displacement, temperature and stresses, associated with finite propagation velocity of heat signal, are obtained and plotted, meanwhile, the comparison with the results obtained from the case with constant material properties are also conducted to reveal the effect of the temperature dependency of material properties. The results show that the propagation of two waves, as well as the distribution of each physical field, are changed when involving the variation of thermal material properties, and these changes are dependent on the value of thermo-mechanical coupling coefficient.
Received: 25 August 2015      Published: 21 June 2016
ZTFLH:  O347.4  
  O343.6  
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