The debonded interface anticrack is treated analytically and the singularity at the tip is found to vary between 1/2 and 1, with the dependence on the material constants combination explicitly obtained. While the case of uniform tension and shear loading at infinity has been solved, the method of solution, which consists of distributing dislocation and line load densities, readily lends itself to solution for other point loadings, such as concentrated forces or dislocations.

1.
Ballarini
R.
,
1990
, “
A Rigid Line Inclusion at a Bimaterial Interface
,”
Engineering Fracture Mechanics
, Vol.
37
, pp.
173
182
.
2.
Dempsey
J. P.
, and
Sinclair
G. B.
,
1981
, “
On the Singular Behavior at the Vertex of a Bi-Material Wedge
,”
Journal of Elasticity
, Vol.
11
, No.
3
, pp.
317
327
.
3.
Dundurs, J., 1969, discussion of a paper by D. B. Bogy, ASME JOURNAL OF APPLIED MECHANICS, pp. 650–652.
4.
Dundurs
J.
, and
Markenscoff
X.
,
1989
, “
A Green’s Function Formulation of Anticracks and Their Interaction With Load-Induced Singularities
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
56
, pp.
550
555
.
5.
Erdogan
F.
,
1969
, “
Approximate Solutions of Systems of Singular Integral Equations
,”
SIAM Journal of Applied Mathematics
, Vol.
17
, pp.
1041
1059
.
6.
Erdogan
F.
,
1965
, “
Stress Distribution in Bonded Dissimilar Materials Containing Circular or Angular-Shaped Cavities
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
32
, pp.
829
836
.
7.
Gdoutos, E. G., Kourounis, C. G., Kattis, M. A., and Zacharopoulos, D. A., 1989, “A Partly Unbonded Rigid Fiber Inclusion in an Infinite Matrix,” Advances in Fracture Mechanics K. Salamaa, Ravi-Chandar, Taplui, and Rao, eds., pp. 223–227.
8.
Keer
L. M.
,
1975
, “
Mixed Boundary Value Problems for a Penny-Shaped Cut
,”
Journal of Elasticity
, Vol.
5
, pp.
89
98
.
9.
Markenscoff
X.
,
Ni
L.
, and
Dundurs
J.
,
1994
, “
The Interface Anticrack: Solutions and Green’s Functions for the Interaction of Cracks/Anticracks
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
61
, pp.
797
802
.
10.
Muskhelishvili, N. I., 1953, Some Basic Problems in the Theory of Elasticity, Noorhoff, Leyden, The Netherlands.
11.
Ni
L.
, and
Nemat-Nasser
S.
,
1991
, “
Interface Cracks in Anisotropic Dissimilar Materials: An Analytic Solution
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
39
, No.
1
, pp.
113
144
.
12.
Ni
L.
, and
Nemat-Nasser
S.
,
1992
, “
Interface Cracks in Anisotropic Dissimilar Materials: General Case
,”
Quarterly of Applied Mathematics
, Vol.
L
, No.
2
, pp.
305
322
.
13.
Sherman
D. I.
,
1940
, “
The Mixed Problems of Potential Theory and of the Theory of Elasticity for the Plane With a Finite Number of Straight Cuts
,”
Comptes Rendus de L’Academic des Sciences de L’U.R.S.
, Vol.
27
, pp.
330
334
.
14.
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
, No.
9
, pp.
965
983
.
15.
Wang
Z. Y.
,
Zhang
H. T.
, and
Chou
Y. T.
,
1985
, “
Characteristics of the Elastic Field of a Rigid Line in Homogeneity
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
52
, pp.
818
822
.
16.
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
.
17.
Wu
K. C.
,
1990
, “
Line Inclusions at Anisotropic Bimaterial Interface
,”
Mechanics and Materials
, Vol.
10
, pp.
173
182
.
This content is only available via PDF.
You do not currently have access to this content.