Green's functions of two-dimensional anisotropic plates containing an elliptic hole

Hwu Chyanbin, Wen J. Yen

Research output: Contribution to journalArticlepeer-review

109 Citations (Scopus)


For a two-dimensional anisotropic plate, the Green's Function satisfying traction-free boundary conditions around an elliptic hole is developed using Stroh's formalism. A combination of this function and the boundary element method shows that it is the most effective approach for solving hole problems. The generality of the present Green's function is shown by the broader meaning of the following words. "Two-dimensional" includes not only in-plane but also antiplane problems and the problems where in-plane and anti-plane deformations couple each other. "Anisotropic", which need not have any material symmetry restrictions, means that it covers the solutions given in the literature, which only deal with orthotropic or monoclinic materials. "Elliptic" includes the special case where the minor axis of the ellipse tends to zero. i.e. the case of a Griffith crack. The accuracy of the numerical method presented is then verified by comparison with exact or accepted solutions of several examples, such as an infinite or a finite plate with an elliptic hole or a crack under in-plane or anti-plane loading. The materials used are Isotropic, orthotropic or laminated composites. Finally, problems where the hole boundary is not traction free are solved, such as rigid inclusions and pin-loaded holes.

Original languageEnglish
Pages (from-to)1705-1719
Number of pages15
JournalInternational Journal of Solids and Structures
Issue number13
Publication statusPublished - 1991

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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