Non-Intrusive Extension of a Generalized Finite Element Method for Multiscale Problems to the Abaqus Analysis Platform

Plews, Julia A.

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https://hdl.handle.net/2142/24461 Copy

Description

Title

Non-Intrusive Extension of a Generalized Finite Element Method for Multiscale Problems to the Abaqus Analysis Platform

Author(s)

Plews, Julia A.

Issue Date

2011-05-25T14:23:07Z

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)

• finite element methods
• multiscale
• heat transfer
• Galerkin methods
• Generalized Finite Element Method (GFEM)

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.

Graduation Semester

2011-05

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http://hdl.handle.net/2142/24461

Copyright and License Information

Copyright 2011 Julia A. Plews

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