Nonlinear mechanical behaviors of FGM beams based on the physical neutral surface

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	Nonlinear mechanical behaviors of FGM beams based on the physical neutral surface
	Niu, Mu-Hua; Ma, Lian-Sheng
	2011-06-01
发表期刊	Gongcheng Lixue/Engineering Mechanics
ISSN	10004750
卷号	28 期号:6 页码:219-225
摘要	The stretching-bending coupling in constitutive equations of a functionally graded materials (FGM) beam does not exist when the coordinate system is located at the physical neutral surface of the FGM beam, thus the governing equations and boundary conditions for the FGM beam can be simplified. Based on the non-linear first-order shear deformation beam theory (FBT), the basic equations of the FGM beam are derived using the physical neutral surface concept. The thermal post-buckling, thermal bending and vibration response of postbuckled or bended configurations of an FGM beam subjected to uniformly thermal loads are investigated. It was assumed that the properties of the functionally graded material vary continuously only with the thickness of the beam and their variation has a simple power law distribution with the volume fraction of the constituents. The shooting method is employed to numerically solve the resulting equations. Numerical results obtained herein showed that thermal loads can cause the post-buckling deformations in a clamped FGM beam, while more complex thermal bending deformations in a simple supported beam. And moreover, the dynamic behavior of a clamped FGM beam was also different from that of the simple supported beam. Transversely shear deformation played an important role in the mechanical behavior of the FGM beams.
关键词	Beams and girders Bending (forming) Buckling Constitutive equations Plates (structural components) Shear deformation Thermal load First order shear deformations Functionally graded material (FGM) Physical neutral surfaces Post buckling deformation Postbuckling Power law distribution Simple supported beams Vibration
收录类别	EI
语种	中文
出版者	Tsinghua University
EI入藏号	20112914155700
EI主题词	Functionally graded materials
EI分类号	408.2 Structural Members and Shapes - 535.2 Metal Forming - 921 Mathematics
来源库	Compendex
分类代码	408.2 Structural Members and Shapes - 535.2 Metal Forming - 921 Mathematics
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/111257
专题	理学院
作者单位	School of Science, Lanzhou University of Technology, Lanzhou 730050, China
第一作者单位	兰州理工大学
第一作者的第一单位	兰州理工大学
推荐引用方式 GB/T 7714	Niu, Mu-Hua,Ma, Lian-Sheng. Nonlinear mechanical behaviors of FGM beams based on the physical neutral surface[J]. Gongcheng Lixue/Engineering Mechanics,2011,28(6):219-225.
APA	Niu, Mu-Hua,&Ma, Lian-Sheng.(2011).Nonlinear mechanical behaviors of FGM beams based on the physical neutral surface.Gongcheng Lixue/Engineering Mechanics,28(6),219-225.
MLA	Niu, Mu-Hua,et al."Nonlinear mechanical behaviors of FGM beams based on the physical neutral surface".Gongcheng Lixue/Engineering Mechanics 28.6(2011):219-225.