A three dimensional generalized finite element method for thin fibers embedded in a continuum

Krishnan, Aditya

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https://hdl.handle.net/2142/31174 Copy

Description

Title

A three dimensional generalized finite element method for thin fibers embedded in a continuum

Author(s)

Krishnan, Aditya

Issue Date

2012-05-22T00:33:31Z

Director of Research (if dissertation) or Advisor (if thesis)

Duarte, C. Armando

Department of Study

Civil & Environmental Eng

Discipline

Civil Engineering

Degree Granting Institution

University of Illinois at Urbana-Champaign

Degree Name

M.S.

Degree Level

Thesis

Keyword(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.

Graduation Semester

2012-05

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http://hdl.handle.net/2142/31174

Copyright and License Information

Copyright 2012 by Aditya Krishnan. All rights reserved

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