scholarly journals An efficient method for solving three-dimensional fretting contact problems involving multilayered or functionally graded materials

2015 ◽  
Vol 66 ◽  
pp. 46-61 ◽  
Author(s):  
Zhanjiang Wang ◽  
Chenjiao Yu ◽  
Qian Wang
Keyword(s):  
Functionally Graded Materials ◽  
Efficient Method ◽  
Three Dimensional ◽  
Contact Problems ◽  
Functionally Graded ◽  
Graded Materials

Contact Analysis of Functionally Graded Materials Using Smoothed Finite Element Methods

2019 ◽  
Vol 17 (05) ◽  
pp. 1940012 ◽  
Author(s):  
Y. F. Zhang ◽  
J. H. Yue ◽  
M. Li ◽  
R. P. Niu
Keyword(s):  
Finite Element ◽  
Functionally Graded Materials ◽  
Contact Point ◽  
Linear Complementarity Problems ◽  
Contact Problems ◽  
Contact Analysis ◽  
Functionally Graded ◽  
Numerical Results ◽  
Graded Materials ◽  
Stiffness Matrices

In the paper, the smoothed finite element method (S-FEM) based on linear triangular elements is used to solve 2D solid contact problems for functionally graded materials. Both conforming and nonconforming contacts algorithms are developed using modified Coulomb friction contact models including tangential strength and normal adhesion. Based on the smoothed Galerkin weak form, the system stiffness matrices are created using the formulation procedures of node-based S-FEM (NS-FEM) and edge-based S-FEM (ES-FEM), and the contact interface equations are discretized by contact point-pairs. Then these discretized system equations are converted into a form of linear complementarity problems (LCPs), which can be further solved efficiently using the Lemke method. The singular value decomposition method is used to deal with the singularity of the stiffness matrices in the procedure constructing the standard LCP, which can greatly improve the stability and accuracy of the numerical results. Numerical examples are presented to investigate the effects of the various parameters of functionally graded materials and comparisons have been made with reference solutions and the standard FEM. The numerical results demonstrate that the strain energy solutions of ES-FEM have higher convergence rate and accuracy compared with that of NS-FEM and FEM for functionally graded materials through the present contact analysis approach.

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.

scholarly journals Numerical Analysis for Cracked Functionally Graded Materials by Finite Block Method

2017 ◽  
Vol 754 ◽  
pp. 145-148
Author(s):  
J. Li ◽  
C. Shi ◽  
Pi Hua Wen
Keyword(s):  
Stress Intensity ◽  
Functionally Graded Materials ◽  
Stress Intensity Factors ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Intensity Factors ◽  
Block Method ◽  
Graded Materials ◽  
Linear Elastic ◽  
Derivative Matrix

The finite block method (FBM) is developed to determine stress intensity factors with orthotropic functionally graded materials under static and dynamic loads in this paper. The higher order derivative matrix for two and three dimensional problems can be constructed directly. For linear elastic fracture mechanics, the COD and J-integral techniques to determine the stress intensity factors are applied. Several examples are given and comparisons have been made with both analytical solutions and the finite element method in order to demonstrate the accuracy and convergence of the finite block method.

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