Microstructure-Based Modeling of Elastic Functionally Graded Materials: One Dimensional Case
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článek v časopisejournal article
Peer-reviewed
publishedVersion
Author
Sharif Khodaei Z.
Zeman J.
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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.
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