000003804 001__ 3804
000003804 005__ 20141118153346.0
000003804 04107 $$acze
000003804 046__ $$k2008-05-12
000003804 100__ $$aSharif, Khodaei Z.
000003804 24500 $$aMICROSTRUCTURE-BASED MODELING OF ELASTIC FUNCTIONALLY GRADED MATERIALS

000003804 24630 $$n14$$pEngineering Mechanics 2008
000003804 260__ $$bInstitute of Thermomechanics AS CR, v.v.i., Brno
000003804 506__ $$arestricted
000003804 520__ $$2eng$$aFunctionally 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.

000003804 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000003804 653__ $$a

000003804 7112_ $$aEngineering Mechanics 2008$$cSvratka (CZ)$$d2008-05-12 / 2008-05-15$$gEM2008
000003804 720__ $$aSharif, Khodaei Z.$$iZeman, J.
000003804 8560_ $$ffischerc@itam.cas.cz
000003804 8564_ $$s1064405$$uhttps://invenio.itam.cas.cz/record/3804/files/Sharif_FT.pdf$$y
             Original version of the author's contribution as presented on CD, , page 812.
            
000003804 962__ $$r3717
000003804 980__ $$aPAPER