The complex form of the characteristic equation for the stress singularities of the order rλ-1(0<Re[λ]<1) for the dissimilar anisotropic wedges is derived. Special attention is then focused on the problems that are composed by two orthotropic materials. For such problems the characteristic equation is expressed in real forms from which the dependence of the singularities on the material parameters and wedge angles is investigated. The case of a single free-fixed wedge problem is particularly studied in detail. Numerical results for several special wedge geometries are also presented.

Issue Section:
Technical Papers
Topics:
Anisotropy, Stress singularity, Wedges
1.
Bogy
D. B.
,
1968
, “
Edge-Bonded Dissimilar Orthogonal Elastic Wedges Under Normal and Shear Loading
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
35
, p.
460
460
.
2.
Bogy
D. B.
,
1970
, “
On the Problem of Edge-Bonded Elastic Quarter-Planes Loaded At The Boundary
,”
International Journal of Solid and Structures
, Vol.
6
, pp.
1287
–
1313
.
3.
Bogy
D. B.
,
1971
, “
Two Edge-Bonded Elastic Wedges of Different Materials Wedge Angles Under Surface Tractions
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
38
, pp.
377
–
386
.
4.
Bogy
D. B.
,
1972
, “
The Plane Solution for Anisotropic Elastic Wedges under Normal and Shear Loading
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
39
, pp.
1103
–
1109
.
5.
Bogy
D. B.
, and
Wang
K. C.
,
1971
, “
Stress Singularities at Interface Corners in Bonded Dissimilar Isotropic Elastic Materials
,”
International Journal of Solids and Structures
, Vol.
7
, pp.
993
–
1005
.
6.
Chadwick
P.
, and
Smith
G. D.
,
1977
, “
Foundations of the Theory of Surface Wave in Anisotropic Elastic Materials
,”
Advances in Applied Mechanics
, Vol.
17
, pp.
303
–
376
.
7.
Eshelby
J. D.
,
Read
W. T.
, and
Shockley
W.
,
1953
, “
Anisotropic Elasticity With Application to Dislocation Theory
,”
Acta Metall
, Vol.
1
, pp.
251
–
259
.
8.
Kuo
M. C.
, and
Bogy
D. B.
,
1974
a, “
Plane Solutions for the Displacement and Traction-Displacement Problems for Anisotropic Elastic Wedges
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
41
, pp.
197
–
202
.
9.
Kuo
M. C.
, and
Bogy
D. B.
,
1974
b, “
Plane Solutions for Traction Problems on Orthotropic Unsymmetrical Wedges and Symmetrically Twinned Wedges
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
41
, pp.
203
–
208
.
10.
Lin, Y. Y., and Sung, J. C., 1996, “Singularities of an Inclined Crack Terminating at an Anisotropic Bimaterial Interface” International Journal of Solids and Structures, accepted for publication.
11.
Stroh
A. N.
,
1958
, “
Dislocations and Cracks in Anisotropic Elasticity
,”
Philos. Mag.
, Vol.
7
, pp.
625
–
646
.
12.
Sung
J. C.
,
Liou
J. Y.
, and
Lin
Y. Y.
,
1996
, “
Some Phenomena of Cracks Perpendicular to an Interface Between Dissimilar Orthotropic Materials
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
63
, pp.
190
–
203
.
13.
Ting
T. C. T.
,
1986
, “
Explicit Solution and Invariance of the Singularities at an Interface Crack in Anisotropic Composites
,”
International Journal of Solids and Structures
, Vol.
22
, pp.
965
–
983
.
14.
Ting
T. C. T.
,
1988
, “
Some Identities and the Structure Ni in the Stroh Formalism of Anisotropic Elasticity
,”
Quarterly of Applied Mathematics
, Vol.
46
, pp.
109
–
120
.
15.
Williams
M. L.
,
1952
, “
Stress Singularities Resulting From Various Boundary Conditions in Angular Corners of Plates in Extension
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
19
, pp.
526
–
528
.
16.
Wu
K. C.
, and
Chang
F. T.
,
1993
, “
Near-Tip Fields in a Notched Body With Dislocations and Body Forces
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
60
, pp.
936
–
941
.
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