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Title:Non-Intrusive Extension of a Generalized Finite Element Method for Multiscale Problems to the Abaqus Analysis Platform
Author(s):Plews, Julia A.
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):finite element methods
multiscale
heat transfer
Galerkin methods
generalized finite element methods
Abstract:Several classes of important engineering problems – in this case, problems exhibiting sharp thermal gradients – have solution features spanning multiple spatial scales of interest and, therefore, necessitate advanced hp finite element discretizations. Although hp-FEM is unavailable off-the-shelf in many predominant commercial analysis software packages, a novel method is proposed herein which is used to introduce these capabilities via the generalized FEM with global-local enrichments (GFEMgl) non-intrusively in Abaqus, a popular, general-purpose FEA platform. Numerical results show that the techniques utilized allow for accurate resolution of localized thermal features on structural-scale meshes without hp-adaptivity or the ability to account for very localized loads in the FEM framework itself. This methodology enables the user to take advantage of all the benefits of both hp-FEM discretizations and the appealing features of many available CAE/FEA software packages in order to obtain optimal convergence for challenging multiscale problems.
Issue Date:2011-05-25
URI:http://hdl.handle.net/2142/24461
Rights Information:Copyright 2011 Julia A. Plews
Date Available in IDEALS:2011-05-25
2013-05-26
Date Deposited:2011-05


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