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
 Citation: 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.

# 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
Funds:  The National Natural Science Foundation of China（51206062）
• Rev Recd Date: 2016-03-11
• Publish Date: 2016-06-15
• 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.
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