Accurate finite-element modeling of wave propagation in composite and functionally graded materials

2014 ◽  
Vol 117 ◽  
pp. 298-308 ◽  
Author(s):  
A. Idesman
Keyword(s):  
Finite Element ◽  
Wave Propagation ◽  
Finite Element Modeling ◽  
Functionally Graded Materials ◽  
Functionally Graded ◽  
Graded Materials ◽  
Element Modeling

Model Development of the Application of Finite Element – Eigenvalue Method to the Determination of Transient Temperature Field in Functionally Graded Materials

2007 ◽  
Vol 18-19 ◽  
pp. 253-261
Author(s):  
John A. Akpobi ◽  
C.O. Edobor
Keyword(s):  
Finite Element ◽  
Temperature Field ◽  
Functionally Graded Materials ◽  
Model Development ◽  
Element Model ◽  
Steady State Solution ◽  
Functionally Graded ◽  
Transient Temperature ◽  
Graded Materials ◽  
Eigenvalue Method

In this paper, a finite elment-eigenvalue method is formulated to solve the finite element models of time dependent temperature field problems in non-homogeneous materials such as functionally graded materials (FGMs). The method formulates an eigenvalue problem from the original finite element model and proceeds to calculate the associated eigenvectors from which the solution can be obtained. The results obtained highly accurate and are exponential functions of time which when compared with the exact solution tended fast to the steady state solution.

Full-scale finite element modeling and nonlinear bending analysis of sandwich plates with functionally graded auxetic 3D lattice core

2020 ◽  
pp. 109963622092465 ◽  
Author(s):  
Chong Li ◽  
Hui-Shen Shen ◽  
Hai Wang
Keyword(s):  
Finite Element ◽  
Finite Element Modeling ◽  
Plate Thickness ◽  
Functionally Graded ◽  
Full Scale ◽  
Sandwich Plates ◽  
Nonlinear Bending ◽  
Element Modeling ◽  
Bending Load ◽  
Lattice Core

This paper investigates the nonlinear bending behavior of sandwich plates with functionally graded auxetic 3D lattice core. First and foremost, an auxetic 3D lattice metamaterial with negative effective Poisson’s ratio (EPR) is designed and examined via theoretical and finite element methods with experimental verifications using specimens fabricated by 3D printing. Furthermore, three functionally graded configurations of the auxetic 3D lattice core through the plate thickness direction are proposed and compared with the uniform distribution case. Full-scale finite element modeling and nonlinear thermal-mechanical analysis are performed for the sandwich plates, with the temperature-dependent material properties of both core and face sheets taken into account. Numerical results revealed that the auxetic core can remarkably reduce the lateral deflections, with comparison to their non-auxetic counterpart with positive EPR. Parametric studies are further carried out to demonstrate the effects of functionally graded configurations, temperature rises, facesheet-to-core thickness ratios, boundary conditions, and strut radii on the nonlinear bending load-deflection curves, along with EPR-deflection curves in the large deflection region.

scholarly journals On the Finite Element Implementation of Functionally Graded Materials

Materials ◽  
2019 ◽  
Vol 12 (2) ◽  
pp. 287 ◽  
Author(s):  
Emilio Martínez-Pañeda
Keyword(s):  
Finite Element ◽  
Functionally Graded Materials ◽  
Functionally Graded ◽  
The Finite Element Method ◽  
Element Level ◽  
Graded Materials ◽  
Property Variation ◽  
User Subroutine ◽  
Finite Element Package ◽  
Fracture Assessment

We investigate the numerical implementation of functionally graded properties in the context of the finite element method. The macroscopic variation of elastic properties inherent to functionally graded materials (FGMs) is introduced at the element level by means of the two most commonly used schemes: (i) nodal based gradation, often via an auxiliary (non-physical) temperature-dependence, and (ii) Gauss integration point based gradation. These formulations are extensively compared by solving a number of paradigmatic boundary value problems for which analytical solutions can be obtained. The nature of the notable differences revealed by the results is investigated in detail. We provide a user subroutine for the finite element package ABAQUS to overcome the limitations of the most popular approach for implementing FGMs in commercial software. The use of reliable, element-based formulations to define the material property variation could be key in fracture assessment of FGMs and other non-homogeneous 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.

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