An infinite isotropic plate containing a polygon-shaped inclusion with a uniform eigencurvature is analyzed. An algorithmic closed-form solution of the curvature is derived for both interior and exterior points of the polygon.

Issue Section:
Technical Papers
Keywords:
eigenvalues and eigenfunctions, inclusions
Topics:
Algorithms, Eigenfunctions, Eigenvalues, Tensors
1.
Beom
,
H. G.
, and
Earmme
,
Y. Y.
,
1999
, “
The Elastic Field of an Elliptic Cylindrical Inclusion in a Laminate with Multiple Isotropic Layers
,”
ASME J. Appl. Mech.
,
66
, pp.
165
–
171
.
2.
Mura, T., 1987, Mechanics of Defects in Solids, Martinus Nijhoff, Dordrecht.
3.
Beom
,
H. G.
,
1998
, “
Analysis of a Plate Containing an Elliptic Inclusions With Eigencurvatures
,”
Arch. Appl. Mech.
,
68
, pp.
422
–
432
.
4.
Rodin
,
G. J.
,
1996
, “
Eshelby’s Inclusion Problem for Polygons and Polyhedra
,”
J. Mech. Phys. Solids
,
44
, pp.
1977
–
1995
.
5.
Nozaki
,
H.
, and
Taya
,
M.
,
1997
, “
Elastic Fields in a Polygon-Shaped Inclusion with Uniform Eigenstrains
,”
ASME J. Appl. Mech.
,
64
, pp.
495
–
501
.
6.
Jones, R. M., 1975, Mechanics of Composite Materials, McGraw-Hill, New York.
7.
Duong
,
C. N.
,
Wang
,
J. J.
, and
Yu
,
J.
,
2000
, “
An Approximate Algorithmic Solution for the Elastic Fields in Bonded Patched Sheets
,”
Int. J. Solids Struct.
,
38
, pp.
4685
–
4699
.
8.
Duong
,
C. N.
, and
Yu
,
J.
,
2003
, “
Thermal Stresses in a One-Sided Bonded Repair by a Plate Inclusion Model
,”
J. Thermal Stresses
,
26
, pp.
457
–
466
.
Copyright © 2003
 by ASME
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