Based on the anisotropic elasticity theory and Lekhnitskii’s complex potential functions, the analytical eigenequations of anisotropic bimaterial half-plane wedges under antiplane shear are derived in brief forms. The boundary surfaces of half-plane wedges can be combinations of free and/or clamped edges. The disappearance conditions of stress singularities can be obtained directly from the derived eigenequations, which can be applied to improve the safety of the structures. The interesting phenomenon on the periodic appearance of the singularity orders is proposed and discussed as well.

1.
Ma
,
C. C.
, and
Hour
,
B. L.
, 1989, ”
Analysis of Dissimilar Anisotropic Wedges Subjected to Antiplane Shear Deformation
,”
Int. J. Solids Struct.
0020-7683,
25
, pp.
1295
1309
.
2.
Ma
,
C. C.
, and
Hour
,
B. L.
, 1990, ”
Antiplane Problems in Composite Anisotropic Materials With an Inclined Crack Terminating at a Bimaterial Interface
,”
Int. J. Solids Struct.
0020-7683,
26
, pp.
1387
1400
.
3.
Shahani
,
A. R.
, 1999, ”
Analysis of an Anisotropic Finite Wedge Under Antiplane Deformation
,”
J. Elast.
0374-3535,
56
, pp.
17
32
.
4.
Pageau
,
S. S.
,
Joseph
,
P. F.
, and
Biggers
,
S. B.
Jr.
, 1995, ”
Finite Element Analysis of Singular Stress Fields in Anisotropic Materials Loaded in Antiplane Shear
,”
Int. J. Numer. Methods Eng.
0029-5981,
38
, pp.
81
97
.
5.
Xie
,
M.
, and
Chaudhuri
,
R. A.
, 2001, ”
Three-Dimensional Asymptotic Stress Field at the Front of a Bimaterial Wedge of Symmetric Geometry Under Antiplane Shear Loading
,”
Compos. Struct.
0263-8223,
54
, pp.
509
514
.
6.
Chiu
,
Jack
S. H.
, and
Chaudhuri
,
R. A.
, 2002, ”
Three-Dimensional Asymptotic Stress Field at the Front of an Unsymmetric Bimaterial Pie-Shaped Wedge Under Antiplane Shear Loading
,”
Compos. Struct.
0263-8223,
58
, pp.
129
137
.
7.
Hu
,
N.
,
Wang
,
B.
,
Sekine
,
H.
,
Yao
,
Z.
, and
Tan
,
G.
, 1998, ”
Shape-Optimum Design of a Bi-Material Single-Lap Joint
,”
Compos. Struct.
0263-8223,
41
, pp.
315
330
.
8.
Wu
,
Z.
, 2004, ”
Design Free of Stress Singularities for Bi-Material Components
,”
Compos. Struct.
0263-8223,
65
, pp.
339
345
.
9.
Chue
,
C. H.
, and
Liu
,
C. I.
, 2002, ”
Disappearance of Free-Edge Stress Singularity in Composite Laminates
,”
Compos. Struct.
0263-8223,
56
, pp.
111
129
.
10.
Lekhnitskii
,
S. G.
, 1963,
Theory of Elasticity of an Anisotropic Body
,
Holden-Day
, San Francisco.
You do not currently have access to this content.