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Effect of Fractional Order Parameter on Thermoelastic Behaviors of Elastic Medium with Variable Properties

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Abstract

This paper is concerned with the thermoelastic behaviors of an elastic medium with variable thermal material properties. The problem is in the context of fractional order heat conduction. The governing equations with variable thermal properties were established by means of the fractional order calculus. The problem of a half-space formed of an elastic medium with variable thermal material properties was solved, and asymptotic solutions induced by a sudden temperature rise on the boundary were obtained by applying an asymptotic approach. The propagations of thermoelastic wave and thermal wave, as well as the distributions of displacement, temperature and stresses were obtained and plotted. Variations in the distributions with different values of fractional order parameter were discussed. The results were compared with those obtained from the case of constant material properties to evaluate the effects of variable material properties on thermoelastic behaviors.

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Authors and Affiliations

  1. Department of Energy and Power Engineering, Jiangsu University, 212013, Zhenjiang, China

    Yingze Wang, Dong Liu & Qian Wang

  2. Department of Mechanical Engineering, Jiangsu University, 212013, Zhenjiang, China

    Jianzhong Zhou

Authors
  1. Yingze Wang
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  2. Dong Liu
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  3. Qian Wang
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  4. Jianzhong Zhou
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Corresponding author

Correspondence to Dong Liu.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 51206062 and 11102073), the Six Talent Peaks Project of Jiangsu Province (No. 2014-ZBZZ-016), the China Postdoctoral Science Foundation (No. 2013M540420), and the Jiangsu Planned Projects for Postdoctoral Research Funds(No. 1501126B).

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Wang, Y., Liu, D., Wang, Q. et al. Effect of Fractional Order Parameter on Thermoelastic Behaviors of Elastic Medium with Variable Properties. Acta Mech. Solida Sin. 28, 682–692 (2015). https://doi.org/10.1016/S0894-9166(16)30009-X

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  • DOI: https://doi.org/10.1016/S0894-9166(16)30009-X

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