Open Access

ARTICLE

Thermo-elastic Stresses in a Functional Graded Material Under Thermal Loading, Pure Bending and Thermo-mechanical Coupling

by Wei Zhang¹, Pengcheng Ni², Bingfei Liu¹

1 Airport College, Civil Aviation University of China, Tianjin, 300300, China.
2 Sino-European Institute of Aviation Engineering, Civil Aviation University of China, Tianjin, 300300, China.
3 Corresponding author. Tel.: +1-86-2224092477; E-mail: bfliu@cauc.edu.cn

Computers, Materials & Continua 2014, 44(2), 105-122. https://doi.org/10.3970/cmc.2014.044.105

Abstract

Analytical expressions have been derived for the through thickness stresses of a Functional graded materials (FGMs) thin plate subjected to thermal loading, pure bending and thermo-mechanical coupling, respectively. The structure is comprised of a metallic layer, a ceramic layer and a functional graded layer. Continuous gradation of the volume fraction in the FGM layer is modeled in the form of an "m" power polynomial of the coordinate axis in thickness direction of the plate. Numerical scheme of discretizing the continuous FGM layer with different graded distributions such as linear (m=1), quadratic (m=2) and square root (m=0.5) has been developed by the averaging technique of composites. Solutions for the stress distributions have been derived for the system under thermal loading, pure bending and thermo-mechanical coupling, respectively.

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Keywords

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