Engineering Mechanics

International Conference

Proceedings Vol. 14 (2008)


ENGINEERING MECHANICS 2008

NATIONAL CONFERENCE WITH INTERNATIONAL PARTICIPATION
May 12 – 15, 2008, Svratka, Czech Republic
;
Editors: Vladimír Fuis and Michal Pásek

Copyright © 2008 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

ISBN 978-80-87012-11-6 (printed)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

MICROSTRUCTURE-BASED MODELING OF ELASTIC FUNCTIONALLY GRADED MATERIALS
Sharif Khodaei Z., Zeman J.
pages 204 - +19p., full text

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 as a link with the underlying microstructure (including its randomness) is not clear. In this paper, we propose a 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 accuracy 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.


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All papers were reviewed by members of the scientific committee.


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