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Line Defects in One-Dimensional Hexagonal Quasicrystals

Author

Listed:
  • Markus Lazar

    (Institute for Mechanics, Technical University of Darmstadt, D-64287 Darmstadt, Germany)

Abstract

Using the eight-dimensional framework of the integral formalism of one-dimensional quasicrystals, the analytical expressions for the displacement fields and stress functions of line defects, which are dislocations and line forces, in one-dimensional hexagonal quasicrystals of Laue class 10 are derived. The self-energy of a straight dislocation, the self-energy of a line force, the Peach–Koehler force between two straight dislocations, and the Cherepanov force between two straight line forces in one-dimensional hexagonal quasicrystals of Laue class 10 are calculated. In addition, the two-dimensional Green tensor of one-dimensional hexagonal quasicrystals of Laue class 10 is given within the framework of the integral formalism.

Suggested Citation

  • Markus Lazar, 2025. "Line Defects in One-Dimensional Hexagonal Quasicrystals," Mathematics, MDPI, vol. 13(9), pages 1-20, April.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:9:p:1493-:d:1647030
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