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# 3-D Temperature Fields in Laminated Shells Subjected to Thermo-Loads

Hai Qian1,*, Ding Zhou2, Bin Gu1, Rathnayaka Mudiyanselage D. M. S.3

Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang, 212013, PR. China.
College of Civil Engineering, Nanjing Tech University, Nanjing, 211816, PR. China.
University of Queensland, Queensland, Australia.

*Corresponding Author: Hai Qian. Email: .

Structural Durability & Health Monitoring 2018, 12(4), 281-298. https://doi.org/10.32604/sdhm.2018.04618

## Abstract

The temperature fields in the laminated shells were studied, including open cylindrical shells and cylindrical shells, according to the thermal theory. Analytical solution of the temperature in the shells with the known temperature on the surfaces was present. The thinning layer approach was introduced to simplify the three-dimensional heat conduction equation. Firstly, the layered shell was divided into N thinner layers. The governing equation was simplified by replacing the variable r by r0 in the center line of every thin layer. The general solutions of temperature satisfying the simplified three-dimensional governing equation in single-layered shell were deduced in the cylindrical coordinate system. Then, the temperature and heat flux relationships between the surfaces could be found by transferring matrixes. According to the continuities of temperature and heat flux in the interface of the laminates, the temperature and heat flux relationships of the surfaces were derived. With the temperature condition on the surfaces, the unknown coefficients in the general solution of temperature were obtained. Finally, the effects from the thinning layer approach were eliminated by analyzing different numbers of thin layers. The validity and accuracy of the proposal method were proved from the convergence and comparison studies. And several numerical examples were studied to investigated the temperature effects from surface temperatures, geometric size of the shells and composition of layers.

## Keywords

Qian, H., Zhou, D., Gu, B., Mudiyanselage, R. (2018). 3-D Temperature Fields in Laminated Shells Subjected to Thermo-Loads. Structural Durability & Health Monitoring, 12(4), 281–298. https://doi.org/10.32604/sdhm.2018.04618

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