Boundary Value Problems (Jan 2010)

Image Location for Screw Dislocation—A New Point of View

  • Jeng-Tzong Chen,
  • Jia-Wei Lee,
  • Ke-Hsun Chou,
  • Ying-Te Lee

DOI
https://doi.org/10.1155/2010/731741
Journal volume & issue
Vol. 2010

Abstract

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An infinite plane problem with a circular boundary under the screw dislocation is solved by using a new method. The angle-based fundamental solution for screw dislocation is expanded into degenerate kernel. Our method can explain why the image screw dislocation is required. Besides, the location of the image point can be obtained easily by using degenerate kernel after satisfying boundary conditions. Even though the image concept is required, the location of image point can be determined straightforwardly through the degenerate kernel instead of the method of reciprocal radii. Finally, two examples are demonstrated to verify the validity of the present method.