Three-dimensional vibration analysis of beams with axial functionally graded materials and variable thickness

2019 ◽  
Vol 207 ◽  
pp. 304-322 ◽  
Author(s):  
Mingfei Chen ◽  
Guoyong Jin ◽  
Yantao Zhang ◽  
Fenglei Niu ◽  
Zhigang Liu
Keyword(s):  
Functionally Graded Materials ◽  
Variable Thickness ◽  
Vibration Analysis ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Graded Materials

scholarly journals Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

2019 ◽  
Vol 2019 ◽  
pp. 1-18 ◽  
Author(s):  
Ning Zhang ◽  
Tahir Khan ◽  
Haomin Guo ◽  
Shaoshuai Shi ◽  
Wei Zhong ◽  
...  
Keyword(s):  
Free Vibration ◽  
Functionally Graded Materials ◽  
Vibration Analysis ◽  
Single Point ◽  
Free Vibration Analysis ◽  
Functionally Graded ◽  
Graded Materials ◽  
The Past ◽  
Future Work ◽  
Advanced Development

Functionally graded materials (FGMs) are novel materials whose properties change gradually with respect to their dimensions. It is the advanced development of formerly used composite materials and consists of two or more materials in order to achieve the desired properties according to the application where an FGM is used. FGMs have obtained a great attention of researchers in the past decade due to their graded properties at every single point in various dimensions. The properties of an FGM are not identical to the materials that constitute it. This paper aims to present an overview of the existing literature on stability, buckling, and free vibration analysis of FGM carried out by numerous authors in the past decade. Moreover, the analyses of mathematical models adopted for the aforementioned analyses are not the core purpose of this paper. At the end, future work is also suggested in this review paper.

Numerical Investigation on the Fracture Behaviors of Three-Dimensional Functionally Graded Materials

2007 ◽  
Vol 353-358 ◽  
pp. 1098-1101 ◽  
Author(s):  
Hong Jun Yu ◽  
Li Cheng Guo ◽  
Lin Zhi Wu
Keyword(s):  
Functionally Graded Materials ◽  
Crack Front ◽  
Material Properties ◽  
High Efficiency ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Parameter Analysis ◽  
Graded Materials ◽  
Gaussian Integration ◽  
Fracture Behaviors

Functionally graded materials (FGMs) with continuous varying properties have absorbed great attention for the purpose of eliminating the mismatch of material properties which may result in cracking. In this paper, three-dimensional finite element method (3D FEM) based on nonhomogeneous elements is used to study the fracture behaviors of a 3D FGM plate. Since real material properties at Gaussian integration points are adopted during forming the element stiffness matrix, the nonhomogeneous material properties can be applied in each element. Moreover, 20-node singular elements are used around the crack front to deal with the singularity of stress fields at the crack front. By this way, the stress intensity factors (SIFs) can be calculated with high efficiency and accuracy. Therefore, compared with the general FEM using homogeneouos elements, the calculating efficiency and accuracy can be increased. Finally, parameter analysis is conducted. It is found that the material nonhomogeneity constant and the crack parameter have significant influences on the SIFs.

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