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MODELING ERROR ESTIMATION AND ADAPTIVE MODELING OF FUNCTIONALLY GRADED MATERIALS

by DESHMUKH, PUSHKARAJ M

Abstract (Summary)
Functionally graded materials (FGMs) are a class of composite materials that consist of two materials and are manufactured so that the composition of the constituent materials is gradually varied in one direction, from one end-surface to the other, resulting in a smooth variation of material properties. FGMs are hard to analyze because the micromechanics model is very difficult to mesh and results in a very number of degrees of freedom. Typically, FGMs are analyzed using homogenization methods which introduces a modeling error. In this work, we estimate the modeling error occuring due to homogenization. The performance of the homogenization methods, self-consistent estimates and the Mori-Tanaka estimates, is evaluated and compared. We then extend the theory of modeling estimates to local quantities of interest. Then based on these error estimates, we apply the goal-oriented adaptive modeling strategy to adaptively control the error in the quantities of interest.
Bibliographical Information:

Advisor:

School:University of Cincinnati

School Location:USA - Ohio

Source Type:Master's Thesis

Keywords:fgm homogenization modeling error adaptive

ISBN:

Date of Publication:01/01/2004

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