Acta Mechanica Solida Sinica

, Volume 28, Issue 3, pp 285–293 | Cite as

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

Article

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.

Key Words

generalized thermoelasticity fractional order theory asymptotic solutions thermal shock 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2015

Authors and Affiliations

  1. 1.Department of Energy and Power EngineeringJiangsu UniversityZhenjiangChina

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