TY - JOUR
T1 - Polygonal holes in anisotropic media
AU - Chyanbin, Hwu
N1 - Funding Information:
Acknowledgements-The author would like to thank the National Science Council, Republic of China, for its support through Grant No. NSC 78-0401-E006-3\.
Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 1992
Y1 - 1992
N2 - 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.
AB - 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.
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U2 - 10.1016/0020-7683(92)90221-E
DO - 10.1016/0020-7683(92)90221-E
M3 - Article
AN - SCOPUS:0026745343
SN - 0020-7683
VL - 29
SP - 2369
EP - 2384
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
IS - 19
ER -