Polygonal holes in anisotropic media

研究成果: Article同行評審

21 引文 斯高帕斯(Scopus)

摘要

Based upon the solutions obtained by using Stroh's formalism, a general and simplified formula for polygonal holes in anisotropic media is provided in this paper. The polygon used here is a generalized terminology which covers ellipses, polygons and their geometric limits. For some special holes such as ellipses, circles, cracks, triangles, ovals and squares, a further simplified solution is derived. The validity of these formulae is then discussed based on the satisfaction of conformal mapping requirement. The results show that the solutions are exact for (1) anisotropic media containing elliptic holes or cracks, and (2) isotropic media containing general polygonal holes. For general anisotropic media with polygonal holes, the solutions are well approximated if the critical points of the mapping functions are far away from the holes.

原文English
頁(從 - 到)2369-2384
頁數16
期刊International Journal of Solids and Structures
29
發行號19
DOIs
出版狀態Published - 1992

All Science Journal Classification (ASJC) codes

  • 建模與模擬
  • 材料科學(全部)
  • 凝聚態物理學
  • 材料力學
  • 機械工業
  • 應用數學

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