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Analysis of Displacement in an Elastic Solid with a Mode-III Crack in the Presence of Surface Elasticity Open Access


Other title
applied mechanics, crack, mode-III, surface effects, Gurtin, Murdoch, elasticity
Type of item
Degree grantor
University of Alberta
Author or creator
Lengyel, Tamran
Supervisor and department
Schiavone, Peter (Mechanical Engineering)
Examining committee member and department
Szymanski, Jozef (Civil and Environmental Engineering)
Mioduchowski, Andrew (Mechanical Engineering)
Department of Mechanical Engineering

Date accepted
Graduation date
Master of Science
Degree level
The focus of this work is the study of anti-plane deformations of an elastic solid containing a crack. A more comprehensive model of the mechanism of fracture was found by incorporating surface mechanics on the crack face. Included are comparisons between the refined model and the classical model with appropriate conclusions drawn about the effect of the surface on the displacement field in the entire solid. A boundary value problem for the displacement is developed for the case when Mode-III stresses are applied. In particular it was shown that the ensuing (refined) model is well-posed. The displacement and stresses were numerically determined using various input stresses and surface parameters. With the incorporation of surface mechanics, it is shown that the refined model is more stable and convergent than in the classical case. From the numerical solutions, approximations for adjusted deformation and stress concentration values are provided for future use.
Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
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