Generalized Solution to the Thermoelastic Problem of Finite-Thickness Hollow Cylinders Subjected to Thermal Shock

WANG Ying-ze; WANG Qian; LIU Dong; GU Li-ping

doi:10.3879/j.issn.1000-0887.2016.06.010

Volume 37 Issue 6

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WANG Ying-ze, WANG Qian, LIU Dong, GU Li-ping. Generalized Solution to the Thermoelastic Problem of Finite-Thickness Hollow Cylinders Subjected to Thermal Shock[J]. Applied Mathematics and Mechanics, 2016, 37(6): 644-654. doi: 10.3879/j.issn.1000-0887.2016.06.010

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Generalized Solution to the Thermoelastic Problem of Finite-Thickness Hollow Cylinders Subjected to Thermal Shock

doi: 10.3879/j.issn.1000-0887.2016.06.010

¹School of Energy and Power Engineering, Jiangsu University,Zhenjiang, Jiangsu 212013, P.R.China;²Jiangsu Taihu Boiler Co. Ltd., Wuxi, Jiangsu 214187, P.R.China

Funds: The National Natural Science Foundation of China（51206062）

Received Date: 2016-01-07
Rev Recd Date: 2016-03-11
Publish Date: 2016-06-15

Abstract

Abstract

The thermoelastic problem of the bounded axisymmetric structures subjected to transient thermal shock was studied. The thermoelastic model for a thick hollow cylinder was built in the context of the generalized Lord-Shulman theory (L-S theory) for thermoelasticity. The Laplace transform technique and the asymptotic properties of the Bessel functions were introduced to derive the analytical solutions of displacement, temperature and stress, which were induced by a sudden temperature rise. The propagation, reflection and superposition of 2 waves, namely the thermoelastic wave and the thermal wave, respectively, were revealed through these solutions, and the jumps generated in the positions of wavefronts were also obtained clearly.
- generalized thermoelasticity,
- thermal shock,
- analytical solution,
- thick hollow cylinder,
- L-S theory

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References(18)

References

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