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Refined shell elements for the analysis of functionally graded structures
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DOI：10.1016/j.compstruct.2011.08.006.png)
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摘要
En 中文
The present paper considers the static analysis of plates and shells made of Functionally Graded Material (FGM), subjected to mechanical loads. Refined models based on the Carrera's Unified Formulation (CUF) are employed to account for grading material variation in the thickness direction. The governing equations are derived from the Principle of Virtual Displacement (PVD) in order to apply the Finite Element Method (FEM). A nine-nodes shell element with exact cylindrical geometry is considered. The shell can degenerate in the plate element by imposing an infinite radius of curvature. The Mixed Interpolation of Tensorial Components (MITC) technique is extended to the CUF in order to contrast the membrane and shear locking phenomenon. Different thickness ratios and orders of expansion for the displacement field are analyzed. The FEM results are compared with both benchmark solutions from literature and the results obtained using the Navier method that provides the analytical solution for simply-supported structures subjected to sinusoidal pressure loads. The shell element based on refined theories of the CUF turns out to be very efficient and its use is mandatory with respect to the classical models in the study of FGM structures. (C) 2011 Elsevier Ltd. All rights reserved.
Keyword:
Functionally graded materials
Unified Formulation
Finite element method
Plates and shells
Mechanical load
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IF:
7.1
论文数:
1.8W
被引数:
8.0W
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Mixed-interpolated finite elements for functionally graded cylindrical shells功能梯度圆柱壳的混合插值有限元.png)
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