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MULTI-SCALE MODELING OF FUNCTIONALLY GRADED MATERIALS
(FGMs) USING FINITE ELEMENT METHODS
by
Richard Sangwon Rhee
_______________________________________________________________
A Dissertation Presentation to the
FACULTY OF THE GRADUATE SCHOOL
UNIVERSITY OF SOUTHERN CALIFORNIA
In Partial Fulfillment of the
Requirements for the Degree
DOCTOR OF PHILOSOPHY
(CIVIL ENGINEERING)
December 2007
Copyright 2007 Richard Sangwon Rhee
Object Description
| Title | Multi-scale modeling of functionally graded materials (FGMs) using finite element methods |
| Author | Rhee, Richard Sangwon |
| Author email | richardrhe@hotmail.com |
| Degree | Doctor of Philosophy |
| Document type | Dissertation |
| Degree program | Civil Engineering (Structural Mechanics) |
| School | Viterbi School of Engineering |
| Date defended/completed | 2007-08-07 |
| Date submitted | 2007 |
| Restricted until | Restricted until 21 Aug. 2009. |
| Date published | 2009-08-21 |
| Advisor (committee chair) | Wellford, Carter |
| Advisor (committee member) |
Anderson, James Masri, Sami Lee, Vicent Shiflett, Geoffrey |
| Abstract | Functionally Graded Materials (FGMs) have a gradual material variation from one material character to another throughout the structure. Applications of these types of materials have significant advantages in civil and mechanical systems including thermal systems. Analyzing the FGMs at the microstructure level with the conventional Finite Element Method (FEM) takes enormous pre-processing and computational time due to the complex material characteristics at the microstructure level. Essentially, the model contains too many degrees of freedom to be solved economically.; The homogenization method has been successfully applied to solve periodic microstructure problems. However, the development of analysis procedures for structures with nonperiodic material or cell geometry, as occurs in graded materials, has turned out to be a significant challenge.; A new method is developed which accurately models the nonperiodic microstructure in FGMs. This method allows the efficient solution of nonperiodic problems without requiring the simplification of the original models. The performance of the developed theory is verified through the solution of appropriate nonperiodic problems associated with graded materials. In the nonperiodic 1-D cases, the global displacement U(x) was obtained and compared with the exact solution. At the same time, the proposed data collection point method was investigated. In the nonperiodic 2-D cases, the global displacement U(x) and the microstructural level displacements were computed. In the program, the Von-Mises Stress computation process was included to evaluate the local stress values at the microstructure level and the results were compared with very fine scale finite element calculations.; The performance of the developed nonperiodic homogenized (NPH) algorithm indicates that it is a promising tool for estimating the FGMs characteristics in loaded conditions. The method can be applied to estimate the global and local displacements in nonperiodic geometries which contain continuously decreasing and/or increasing microstructures. |
| Keyword | coupling micro-macro structural models; nonperiodic microstructure; functionally graded materials; finite element method |
| Language | English |
| Part of collection | University of Southern California dissertations and theses |
| Publisher (of the original version) | University of Southern California |
| Place of publication (of the original version) | Los Angeles, California |
| Publisher (of the digital version) | University of Southern California. Libraries |
| Type | texts |
| Legacy record ID | usctheses-m795 |
| Rights | Rhee, Richard Sangwon |
| Repository name | Libraries, University of Southern California |
| Repository address | Los Angeles, California |
| Repository email | http://www.usc.edu/isd/libraries/services/ask_a_librarian/email/ |
| Filename | etd-Rhee-20070821 |
| Archival file | uscthesesreloadpub_Volume29/etd-Rhee-20070821.pdf |
Description
| Title | Page 1 |
| Full text | MULTI-SCALE MODELING OF FUNCTIONALLY GRADED MATERIALS (FGMs) USING FINITE ELEMENT METHODS by Richard Sangwon Rhee _______________________________________________________________ A Dissertation Presentation to the FACULTY OF THE GRADUATE SCHOOL UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Fulfillment of the Requirements for the Degree DOCTOR OF PHILOSOPHY (CIVIL ENGINEERING) December 2007 Copyright 2007 Richard Sangwon Rhee |
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