Generalized Thermoelastic Solutions to the Problems of Thermal Shock on Elastic Half Space

WANG Ying-ze; WANG Qian; LIU Dong; SONG Xin-nan

doi:10.3879/j.issn.1000-0887.2014.06.006

Volume 35 Issue 6

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WANG Ying-ze, WANG Qian, LIU Dong, SONG Xin-nan. Generalized Thermoelastic Solutions to the Problems of Thermal Shock on Elastic Half Space[J]. Applied Mathematics and Mechanics, 2014, 35(6): 640-651. doi: 10.3879/j.issn.1000-0887.2014.06.006

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Generalized Thermoelastic Solutions to the Problems of Thermal Shock on Elastic Half Space

doi: 10.3879/j.issn.1000-0887.2014.06.006

School of Energy and Power Engineering, Jiangsu University, Zhenjiang, Jiangsu 212013, P.R.China

Funds: The National Natural Science Foundation of China(11102073); China Postdoctoral Science Foundation(2012M511207)

Received Date: 2013-10-07
Rev Recd Date: 2014-05-08
Publish Date: 2014-06-11

Abstract

Abstract

Based on the Laplace transform technique and its limit theorem, the asymptotic solutions to the problems of thermal shock on elastic half space were derived according to different generalized thermoelasticity models with the fractional order calculus introduced. The wavelike properties of heat propagation in elastic media were revealed accurately by these asymptotic solutions, and the jumps at the elastic wave fronts induced by thermal shock were also captured. The elastic wave propagation and the thermoelastic responses of displacement, temperature and stress fields were studied. The predictive abilities of the different generalized thermoelasticity models for thermal behaviors under thermal shock were compared, and the influence of the fractional order parameter on thermal behaviors was also be analyzed. The results show that, the molecular diffusion of heat has notable influence on the heat wave propagation, the response zones of related physical fields and the jump peak values of the temperature and stress fields, but it has little effect on the thermoelastic wave propagation.
- generalized thermoelasticity,
- fractional calculus,
- asymptotic solutions,
- thermal shock

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References(20)

References

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