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Effect of Fractional Order Parameter on Thermoelastic Behaviors in Infinite Elastic Medium with a Cylindrical Cavity

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Abstract

The thermal shock problems involved with fractional order generalized theory is studied by an analytical method. The asymptotic solutions for thermal responses induced by transient thermal shock are derived by means of the limit theorem of Laplace transform. An infinite solid with a cylindrical cavity subjected to a thermal shock at its inner boundary is studied. The propagation of thermal wave and thermal elastic wave, as well as the distributions of displacement, temperature and stresses are obtained from these asymptotic solutions. The investigation on the effect of fractional order parameter on the propagation of two waves is also conducted.

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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

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

Correspondence to Yingze Wang.

Additional information

Project supported by the National Natural Science Foundation of China (No. 11102073), the National Science Foundation for Post-doctoral Scientists of China (No. 2012M511207), the Research Foundation of Advanced Talents of Jiangsu University (No. 10JDG055) and the Priority Academic Program Development of Jiangsu Higher Education Institutions.

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Wang, Y., Liu, D. & Wang, Q. Effect of Fractional Order Parameter on Thermoelastic Behaviors in Infinite Elastic Medium with a Cylindrical Cavity. Acta Mech. Solida Sin. 28, 285–293 (2015). https://doi.org/10.1016/S0894-9166(15)30015-X

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  • DOI: https://doi.org/10.1016/S0894-9166(15)30015-X

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