Refined Equations for Functionally Graded Material Plates Under Bending-Tension Coupling

HU Chao; ZHENG Ri-heng; SUN Xu-feng; ZHOU Chuan-ping

doi:10.21656/1000-0887.370097

Volume 37 Issue 7

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Article Navigation > Applied Mathematics and Mechanics > 2016 > 37(7): 756-765

HU Chao, ZHENG Ri-heng, SUN Xu-feng, ZHOU Chuan-ping. Refined Equations for Functionally Graded Material Plates Under Bending-Tension Coupling[J]. Applied Mathematics and Mechanics, 2016, 37(7): 756-765. doi: 10.21656/1000-0887.370097

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Refined Equations for Functionally Graded Material Plates Under Bending-Tension Coupling

doi: 10.21656/1000-0887.370097

¹College of Civil Science and Engineering, Yangzhou University, Yangzhou, Jiangsu 225127, P.R.China;²School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, P.R.China;³The 31^st Research Institute, CASIC, Beijing 100074, P.R.China

Funds: The National Natural Science Foundation of China(51378451；51276129)

Received Date: 2016-04-06
Rev Recd Date: 2016-05-23
Publish Date: 2016-07-15

Abstract

Abstract

Based on the theory of elasticity for inhomogeneous media, the spectral compositions of operators and the Vieta’s theorem of algebra were applied, and the bending-tension coupling problem of plates of functionally graded material (FGM) was investigated. The refined equations for FGM plates under bending-tension coupling were given. It is shown that, unlike those for the isotropic plate under bending and tension, both the generalized displacement function and the shear function describing the bending stress state and the tension stress state for FGM plates are coupled. Since the derivation of the governing equations was conducted without prior assumptions, the proposed equations for FGM plates can be regarded as exact ones. The work also found out the coupling mechanism and the response structure. The proposed governing equations can be used to analyze the stress of the plate-like FGM structures for thermal protection, and to advance the lightweight design.
- refined theory for FGM plates,
- operator spectral decomposition,
- Vieta’s theorem,
- bending-tension coupling,
- coupling mechanism and response structure

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References(15)

References

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