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MODELING ERROR ESTIMATION AND ADAPTIVE MODELING OF FUNCTIONALLY GRADED MATERIALS

DESHMUKH, PUSHKARAJ M

Abstract Details

2004, MS, University of Cincinnati, Engineering : Mechanical Engineering.
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.
Dr. Kumar Vemaganti (Advisor)
77 p.

Recommended Citations

Citations

  • DESHMUKH, P. M. (2004). MODELING ERROR ESTIMATION AND ADAPTIVE MODELING OF FUNCTIONALLY GRADED MATERIALS [Master's thesis, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1096036755

    APA Style (7th edition)

  • DESHMUKH, PUSHKARAJ. MODELING ERROR ESTIMATION AND ADAPTIVE MODELING OF FUNCTIONALLY GRADED MATERIALS. 2004. University of Cincinnati, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1096036755.

    MLA Style (8th edition)

  • DESHMUKH, PUSHKARAJ. "MODELING ERROR ESTIMATION AND ADAPTIVE MODELING OF FUNCTIONALLY GRADED MATERIALS." Master's thesis, University of Cincinnati, 2004. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1096036755

    Chicago Manual of Style (17th edition)