The problem of quasi-static crack propagation in a three-point bend specimen containing an initial crack that is parallel to and offset from a bimaterial interface is considered. An approximate dislocation-based fracture model is used to identify conditions under which such cracks are attracted to or repelled by the interface. Possible configurations (material/geometry) where such subinterfacial cracks experience pure mode I conditions are determined. Experimental results are presented showing quasi-static crack propagation of subinterfacial cracks for three regimes: (attractive) into the interface; (repulsive) away from the interface; as well as (equilibrium) parallel to the interface. [S0021-8936(00)01903-6]

1.
Williams
,
M. L.
,
1959
, “
The Stresses Around a Fault or Crack in Dissimilar Media
,”
Bull. Seismol. Soc. Am.
,
49
, pp.
199
204
.
2.
Sih
,
G. C.
, and
Rice
,
J. R.
,
1964
, “
The Bending of Plates of Dissimilar Materials With Cracks
,”
ASME J. Appl. Mech.
,
31
, pp.
477
482
.
3.
Rice
,
J. R.
, and
Sih
,
G. C.
,
1965
, “
Plane Problems of Cracks in Dissimilar Media
,”
ASME J. Appl. Mech.
,
32
, pp.
418
423
.
4.
England
,
A. H.
,
1965
, “
A Crack Between Dissimilar Media
,”
ASME J. Appl. Mech.
,
32
, pp.
400
402
.
5.
Erdogan
,
F.
,
1965
, “
Stress Distribution in Bonded Dissimilar Materials With Cracks
,”
ASME J. Appl. Mech.
,
32
, pp.
403
410
.
6.
Comninou
,
M.
,
1977
, “
The Interface Crack
,”
ASME J. Appl. Mech.
,
44
, pp.
631
636
.
7.
Comninou
,
M.
, and
Dundurs
,
J.
,
1980
, “
On the Behavior of Interface Cracks
,”
Res. Mech.
,
1
, pp.
249
264
.
8.
Knowles
,
J. K.
, and
Sternberg
,
E.
,
1983
, “
Large Deformation Near a Tip of an Interface Crack Between Two Neo-Hookean Sheets
,”
J. Elast.
,
13
, pp.
257
293
.
9.
Rice
,
J. R.
,
1988
, “
Elastic Fracture Mechanics Concepts for Interfacial Cracks
,”
ASME J. Appl. Mech.
,
55
, pp.
98
103
.
10.
Shih
,
C. F.
, and
Asaro
,
R.
,
1990
, “
Elastic-Plastic and Asymptotic Fields of Interface Cracks
,”
Int. J. Fract.
,
42
, pp.
101
116
.
11.
Deng
,
X.
,
1994
, “
An Asymptotic Analysis of Stationary and Moving Cracks With Frictional Contact Along Bimaterial Interfaces and in Homogeneous Solids
,”
Int. J. Solids Struct.
,
31
, pp.
2407
2429
.
12.
Dundurs
,
J.
, and
Mura
,
T.
,
1964
, “
Interaction Between an Edge Dislocation and a Circular Inclusion
,”
J. Mech. Phys. Solids
,
12
, pp.
177
189
.
13.
Dundurs
,
J.
, and
Sendeckyi
,
G. P.
,
1965
, “
Behavior of an Edge Dislocation Near a Bimetallic Interface
,”
ASME J. Appl. Mech.
,
36
, pp.
3353
3354
.
14.
Dundurs
,
J.
,
1969
, “
Discussion of Edge-Bonded Dissimilar Orthogonal Elastic Wedges Under Normal and Shear Loading
,”
ASME J. Appl. Mech.
,
36
, pp.
650
652
.
15.
Erdogan
,
F.
,
1971
, “
Bonded Dissimilar Materials Containing Cracks Parallel to the Interface
,”
Eng. Fract. Mech.
,
3
, pp.
231
240
.
16.
Bhattacharjee
,
D.
, and
Knott
,
J. F.
,
1995
, “
Effect of Mixed Mode I and II Loading on the Fracture Surface of Polymethyl Methacrylate (PMMA)
,”
Int. J. Fract.
,
72
, pp.
359
381
.
17.
Gdoutos
,
E. E.
, and
Zacharopoulos
,
D. A.
,
1987
, “
Mixed-Mode Crack Growth in Plates Under Three-Point Bending
,”
Exp. Mech.
,
27
, pp.
366
369
.
18.
Mahajan
,
R. V.
, and
Ravi-Chandar
,
K.
,
1989
, “
An Experimental Investigation of Mixed-Mode Fracture
,”
Int. J. Fract.
,
41
, pp.
235
252
.
19.
Suresh
,
S.
,
Shih
,
C. F.
,
Morrone
,
A.
, and
O’Dowd
,
N. P.
,
1990
, “
Mixed-Mode Fracture Toughness of Ceramic Materials
,”
J. Am. Ceram. Soc.
,
73
, pp.
1257
1267
.
20.
Galvez
,
J.
,
Elices
,
M.
,
Guinea
,
G. V.
, and
Planas
,
J.
,
1996
, “
Crack Trajectories Under Mixed Mode and Non-Proportional Loading
,”
Int. J. Fract.
,
81
, pp.
171
193
.
21.
Evans
,
A. G.
, and
Hutchinson
,
J. W.
,
1989
, “
Effects of Non-Planarity on the Mixed Mode Fracture Resistance of Bimaterial Interfaces
,”
Acta Metall.
,
37
, pp.
909
916
.
22.
Suo
,
Z.
, and
Hutchinson
,
J. W.
,
1989
, “
Steady-State Cracking in Brittle Substrates Beneath Adherent Films
,”
Int. J. Solids Struct.
,
25
, pp.
1337
1353
.
23.
Cao
,
H. C.
, and
Evans
,
A. G.
,
1989
, “
An Experimental Study of the Fracture Resistance of Bimaterial Interfaces
,”
Mech. Mater.
7
, pp.
295
304
.
24.
Charalambides
,
P. G.
,
Lund
,
J.
,
Evans
,
A. G.
, and
McMeeking
,
R. M.
,
1989
, “
A Test Specimen for Determining the Fracture Resistance of a Bimaterial Interface
,”
J. Appl. Mech.
56
, pp.
77
82
.
25.
Wang
,
J.-S.
, and
Suo
,
Z.
,
1990
, “
Experimental Determination of Interfacial Toughness Curves Using Brazil-Nut-Sandwiches
,”
Acta Metall. Mater.
,
38
, No.
7
, pp.
1279
1290
.
26.
Shih
,
C. F.
,
Asaro
,
R.
, and
O’Dowd
,
N. P.
,
1991
, “
Elastic-Plastic Analysis Cracks on Bimaterial Interfaces; Part III: Large-Scale Yielding
,”
ASME J. Appl. Mech.
,
58
, pp.
450
463
.
27.
Tippur
,
H. V.
, and
Rosakis
,
A. J.
,
1991
, “
Quasi-Static and Dynamic Crack Growth Along Bimaterial Interfaces: A Note on Crack-Tip Field Measurements Using Coherent Gradient Sensing
,”
Exp. Mech.
,
31
, pp.
243
251
.
28.
Liechti
,
K. M.
, and
Chai
,
Y.-S.
,
1991
, “
Biaxial Loading Experiments for Determining Interfacial Fracture Toughness
,”
ASME J. Appl. Mech.
,
58
, pp.
680
687
.
29.
O’Dowd
,
N. P.
,
Shih
,
C. F.
, and
Stout
,
M. G.
,
1992
, “
Test Geometries for Measuring Interfacial Fracture Toughness
,”
Int. J. Solids Struct.
,
29
, No.
5
, pp.
571
589
.
30.
Mason
,
J. J.
,
Lambros
,
J.
, and
Rosakis
,
A. J.
,
1992
, “
The Use of a Coherent Gradient Sensor in Dynamic Mixed-Mode Fracture Mechanics Experiments
,”
J. Mech. Phys. Solids
,
40
, pp.
641
661
.
31.
Foltyn
,
P. A.
, and
Ravi-Chandar
,
K.
,
1993
, “
Initiation of an Interface Crack Under Mixed-Mode Loading
,”
ASME J. Appl. Mech.
,
60
, pp.
227
229
.
32.
Tvergaard
,
V.
, and
Hutchinson
,
J. W.
,
1993
, “
The Influence of Plasticity on Mixed Mode Interface Toughness
,”
J. Mech. Phys. Solids
,
41
, pp.
1119
1135
.
33.
Xu
,
L.
, and
Tippur
,
H. V.
,
1995
, “
Fracture Parameters for Interfacial Cracks: An Experimental-Finite Element Study of Crack Tip Fields and Crack Initiation Toughness
,”
Int. J. Fract.
,
71
, pp.
345
363
.
34.
Hutchinson
,
J. W.
,
Mear
,
M.
, and
Rice
,
J. R.
,
1987
, “
Crack Paralleling an Interface Between Dissimilar Materials
,”
ASME J. Appl. Mech.
,
54
, pp.
828
832
.
35.
Yang
,
M.
, and
Kim
,
K.
,
1992
, “
The Behavior of Subinterface Cracks With Crack-Face Contact
,”
Eng. Fract. Mech.
,
44
, pp.
155
165
.
36.
Kelly
,
P.
,
Hills
,
D. A.
, and
Nowell
,
D.
,
1994
, “
The Complete Stress Field due to a Dislocation Anywhere in Two Bonded Quarter-Planes
,”
ASME J. Appl. Mech.
,
61
, pp.
992
993
.
37.
Erdogan
,
F.
, and
Gupta
,
G. D.
,
1972
, “
On the Numerical Solution of Singular Integral Equations
,”
Q. Appl. Math.
,
30
, pp.
525
534
.
38.
Lee, H, 1998, “Quasi-Static Subinterfacial Crack Propagation,” Ph.D. dissertation, Northwestern University, Evanston, IL.
39.
Weertman, J., 1996, Dislocation Based Fracture Mechanics, World Scientific, Singapore.
40.
Tippur
,
H. V.
,
Krishnaswamy
,
S.
, and
Rosakis
,
A. J.
,
1991
, “
A Coherent Gradient Sensor for Crack Tip Deformation Measurement: Analysis and Experimental Measurements
,”
Int. J. Fract.
,
48
, pp.
193
204
.
41.
Lee
,
H.
, and
Krishnaswamy
,
S.
,
1996
, “
A Compact Polariscope/Shearing-Interferometer for Mapping Stress Fields in Bimaterial Systems
,”
Exp. Mech.
,
36
, pp.
404
411
.
42.
Sanford
,
R. J.
,
1989
, “
Determining Fracture Parameters With Full-Field Optical Methods
,”
Exp. Mech.
,
29
, pp.
241
247
.
43.
Wawryzynek, P., and Ingraffea, A., 1995, A Two-Dimensional Crack-Propagation Simulator, Version 2.7, Cornell University Press, Ithaca, NY.
You do not currently have access to this content.