Transient thermal stresses in an orthotropic hollow cylinder for axisymmetric problems |
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Authors: | Ding Haojiang Wang Huiming Chen Weiqiu |
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Institution: | (1) Department of Civil Engineering, Zhejiang University, 310027 Hangzhou, China;(2) Department of Mechanics, Zhejiang University, 310027 Hangzhou, China |
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Abstract: | For the thermoelastic dynamic axisymmetric problem of a finite orthotropic hollow cylinder, one comes closer to reality to
involve the effect of axial strain than to consider the plane strain case only. However, additional mathematical difficulties
should be encountered and a different solution procedure should be developed. By the separation of variables, the thermoelastic
axisymmetric dynamic problem of an orthotropic hollow cylinder taking account of the axial strain is transformed to a Volterra
integral equation of the second kind for a function of time, which can be solved efficiently and quickly by the interpolation
method. The solutions of displacements and stresses are obtained. It is noted that the present method is suitable for an orthotropic
hollow cylinder with an arbitrary thickness subjected to arbitrary axisymmetric thermal loads. Numerical comparison is made
to show the effect of the axial strain on the displacements and stresses.
The project supported by the National Natural Science Foundation of China (10172075) and China Postdoctoral Science Foundation
(20040350712) |
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Keywords: | thermoelastic dynamics thermal shock orthotropic hollow cylinder Volterra integral equation |
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