Implementation of the extended finite element method (XFEM) in the Abaqus software package

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Title: Implementation of the extended finite element method (XFEM) in the Abaqus software package
Author: McNary, Michael
Abstract: This work describes the implementation of the eXtended Finite Element Method (XFEM) in the Abaqus software package. A user-defined element was developed containing the analytical functions relating to homogeneous and interface fracture mechanics. The long-term goal of such work is to increase the ability to analyze fractures and other imperfections in multimaterial systems containing large elastic mismatches, such as flexible electronics. A review of XFEM-related literature is presented, as well as an overview of fracture mechanics for both homogeneous and interface systems. The theoretical basis of the XFEM is then covered, including the concepts of Partition of Unity and stress intensity factor evaluation. Finally, numerical results of the implementation are compared to several benchmark cases, along with conclusions and suggestions for future work.
Type: Thesis
Date: 2009-05-18
Publisher: Georgia Institute of Technology
Subject: FEA
Fracture mechanics
Finite element method
Fracture mechanics
Department: Mechanical Engineering
Advisor: Committee Chair: Cherkaoui, Mohammed; Committee Member: Neu, Richard; Committee Member: van der Sluis, Olaf
Degree: M.S.

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