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

  • Author / Creator
    Lengyel, Tamran
  • 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.

  • Subjects / Keywords
  • Graduation date
    2011-11
  • Type of Item
    Thesis
  • Degree
    Master of Science
  • DOI
    https://doi.org/10.7939/R3791H
  • License
    This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.
  • Language
    English
  • Institution
    University of Alberta
  • Degree level
    Master's
  • Department
    • Department of Mechanical Engineering
  • Supervisor / co-supervisor and their department(s)
    • Schiavone, Peter (Mechanical Engineering)
  • Examining committee members and their departments
    • Szymanski, Jozef (Civil and Environmental Engineering)
    • Mioduchowski, Andrew (Mechanical Engineering)