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oai:www.ideals.illinois.edu:2142/31174 2023-07-10 col_2142_5131 col_2142_14770 com_2142_5130 com_2142_3518 com_2142_234

Duarte, C. Armando Krishnan, Aditya 2012-05-22T00:33:31Z 2012-05-22T00:33:31Z 2012-05 2012-05-22T00:33:31Z 2012-05 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. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2012-04-27T19:27:33Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Krishnan_Aditya.pdf: 3678060 bytes, checksum: b97b58e6aaa27f462632aeba9ff429d2 (MD5) Made available in DSpace on 2012-05-22T00:33:31Z (GMT). No. of bitstreams: 2 Krishnan_Aditya.pdf: 3678060 bytes, checksum: b97b58e6aaa27f462632aeba9ff429d2 (MD5) license.txt: 4065 bytes, checksum: ff77b45d3f8967224fe3a3847e775ac0 (MD5) http://hdl.handle.net/2142/31174 en Copyright 2012 by Aditya Krishnan. All rights reserved Generalized Finite Element Method (GFEM) Global-local analysis Multi-scale problem Fiber Reinforced Composites A three dimensional generalized finite element method for thin fibers embedded in a continuum text Civil & Environmental Eng 1251 Civil Engineering 0106 University of Illinois at Urbana-Champaign Thesis M.S. MS:Civil Engineering -UIUC 10KS0106MS