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Title:A three dimensional generalized finite element method for thin fibers embedded in a continuum
Author(s):Krishnan, Aditya
Advisor(s):Duarte, C. Armando
Department / Program:Civil & Environmental Eng
Discipline:Civil Engineering
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:M.S.
Genre:Thesis
Subject(s):Generalized Finite Element Method (GFEM)
Global-local analysis
Multi-scale problem
Fiber Reinforced Composites
Abstract:The realistic simulation of the behavioral mechanisms of Fiber Reinforced Composites poses a computational and implementation challenge to available Finite Element Methods (FEMs). Meshing a large number of arbitrarily distributed fibers in three dimensions and modeling damage mechanisms, while simultaneously accounting for multi-scale interactions would undermine the feasibility of available FEM for such models. This research project formulates and implements a multi-scale Generalized Finite Element Method (GFEM) using global-local enrichment functions (GFEM^{gl}) to overcome these limitations. The methodology is verified by comparing the solution to specific linear elastic problems obtained by using GFEM^{gl} against solutions from the traditional FEM approach. In addition, these examples accentuate the limitations of the usage of FEM to solve them. The GFEM^{gl} is finally applied to a key concept in the design of advanced composite materials, namely Crack-Bridging, to demonstrate its versatility.
Issue Date:2012-05-22
URI:http://hdl.handle.net/2142/31174
Rights Information:Copyright 2012 by Aditya Krishnan. All rights reserved
Date Available in IDEALS:2012-05-22
Date Deposited:2012-05


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