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Crack Nucleation and Branching in the eXtended Finite Element Method

dc.contributor.advisor Dolbow, John E Merewether, Mark Thomas 2013-11-14T19:16:27Z 2014-05-13T04:30:05Z 2013
dc.description.abstract <p>The eXtended Finite Element Method (X-FEM) has proven to be a robust method for simulating crack propagation, but relatively little work has focused on the important problem of crack initiation or nucleation. In this work, we examine various options for nucleating cracks within a cohesive framework and the X-FEM. Attention is confined to shell problems. We discuss the details of the methods and their strengths and weaknesses. With the introduction of such nucleation algorithms, the need to model more complex crack growth topologies also arises. In particular, we examine algorithms for enabling crack branching, focusing on both the mechanics and element kinematic considerations. The results of various benchmark problems for the nucleation and branching algorithms are also presented and discussed.</p>
dc.subject Civil engineering
dc.subject Mechanical engineering
dc.subject Materials Science
dc.subject branching
dc.subject crack
dc.subject elements
dc.subject finite
dc.subject nucleation
dc.subject XFEM
dc.title Crack Nucleation and Branching in the eXtended Finite Element Method
dc.type Master's thesis
dc.department Civil and Environmental Engineering
duke.embargo.months 6

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