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An Extended Finite Element Method for Modelling Dislocation Interactions with Inclusions


Abstract A method for modelling the interactions of dislocations with inclusions has been developed to analyse toughening mechanisms in alloys. This method is different from the superposition method in that infinite domain solutions and image stress fields are not superimposed. The method is based on the extended finite element method (XFEM) in which the dislocations are modelled according to the Volterra dislocation model. Interior discontinuities are introduced across dislocation glide planes using enrichment functions and the resulting boundary value problem is solved through the standard finite element variational approach. The level set method is used to describe the geometry of the dislocation glide planes without any explicit treatment of the... (more)
Created Date 2016
Contributor Veeresh, Pawan Manjunath (Author) / Oswald, Jay (Advisor) / Jiang, Hanqing (Committee member) / Liu, Yongming (Committee member) / Arizona State University (Publisher)
Subject Mechanical engineering / Materials Science / Dislocations / Extended finite element method / Inclusions / J-integral / Peach-Koehler force
Type Masters Thesis
Extent 88 pages
Language English
Copyright
Reuse Permissions All Rights Reserved
Note Masters Thesis Mechanical Engineering 2016
Collaborating Institutions Graduate College / ASU Library
Additional Formats MODS / OAI Dublin Core / RIS


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Description Dissertation/Thesis