|
|||||
 |
|
|
|
|
|
Microstructure-based
modeling of elastic functionally graded materials:
One-dimensional case
Zahra Sharif-Khodaei and Jan Zeman |
|
Vol. 3 (2008), No. 9, 1773–1796
|
Abstract |
|
Functionally graded materials (FGMs) are two-phase composites with continuously changing microstructure adapted to performance requirements. Traditionally, the overall behavior of FGMs has been determined using local averaging techniques or a given smooth variation of material properties. Although these models are computationally efficient, their validity and accuracy remain questionable, since a link with the underlying microstructure (including its randomness) is not clear. In this paper, we propose a numerical modeling strategy for the linear elastic analysis of FGMs systematically based on a realistic microstructural model. The overall response of FGMs is addressed in the framework of stochastic Hashin–Shtrikman variational principles. To allow for the analysis of finite bodies, recently introduced discretization schemes based on the finite element method and the boundary element method are employed to obtain statistics of local fields. Representative numerical examples are presented to compare the performance and limitations of both schemes. To gain insight into similarities and differences between these methods and to minimize technicalities, the analysis is performed in the one-dimensional setting. |
Keywords
functionally graded materials, statistically nonuniform
composites, microstructural model of fully penetrable
spheres, Hashin–Shtrikman variational principles, finite
element method, boundary element method
|
Milestones
Received: 26 August 2008
Revised: 27 October 2008
Accepted: 1 November 2008
Published: 1 November 2008
|
Authors |
| Zahra Sharif-Khodaei | |
| Faculty of Civil Engineering Department of Mechanics Czech Technical University in Prague Thakurova 7 Prague 6, 166 29 Czech Republic |
Department of Aeronautics Imperial College London Prince Consort Road London SW7 2AZ Great Britain |
| Jan Zeman | |
| Faculty of Civil Engineering Department of Mechanics Czech Technical University in Prague Thakurova 7 Prague 6, 166 29 Czech Republic |
|
| http://mech.fsv.cvut.cz/~zemanj | |
|
