This note can be regarded as a supplement of a paper entitled “On the Use of Approximation Methods for Microcrack Shilding Problems” (H. Cai and K. T. Faber, 1992, ASME J. Appl. Mech. 59, 497–501). In this note, an effective approximation method for microcrack shielding problems is introduced briefly and is further used to study the examples given in the Cai and Faber paper for the interaction of a macrocrack with microcracks. It is found that the applicability range of the present approximation method in which the errors are acceptably small is much larger than that of the approximation methods listed in the Cai and Faber paper.

1.
Evans
,
A. G.
, and
Faber
,
K. T.
, 1981, “
Toughening of Ceramics by Circumferential Microcracking
,”
J. Am. Ceram. Soc.
0002-7820,
67
,
394
398
.
2.
Charalambides
,
P. G.
, and
McMeeking
,
R. M.
, 1987, “
Finite Element Method Simulation of Crack Propagation in a Brittle Microcracking Solids
,”
Mech. Mater.
0167-6636,
6
,
71
87
.
3.
Hutchinson
,
J. W.
, 1987, “
Crack Tip Shielding by Micro-Cracking in Brittle Solids
,”
Acta Metall.
0001-6160,
35
,
1605
1619
.
4.
Hoagland
,
R. G.
, and
Embury
,
J. D.
, 1980, “
A Treatment of Inelasticdeformation Around a Crack Tip Due to Microcracking
,”
J. Am. Ceram. Soc.
0002-7820,
63
,
404
410
.
5.
Bowling
,
G. D.
,
Faber
,
K. T.
, and
Hoagland
,
R. G.
, 1987, “
Computer Simulation of R-Curve in Microcracking Materials
,”
J. Am. Ceram. Soc.
0002-7820,
70
,
849
854
.
6.
Kachanov
,
M.
, and
Montagut
,
E.
, 1986, “
Interaction of a Crack with Certain Microcrack Arrays
,”
Eng. Fract. Mech.
0013-7944,
25
,
625
636
.
7.
Rubinstein
,
A. A.
, 1985, “
Macrocrack Interaction with Semi-Infinite Microcrack Array
,”
Int. J. Fract.
0376-9429,
27
,
113
119
.
8.
Rose
,
L. R.F.
, 1986, “
Microcrack Interaction with a Main Crack
,”
Int. J. Fract.
0376-9429,
31
,
233
242
.
9.
Gong
,
S.-X.
, and
Horii
,
H.
, 1989, “
General Solution to the Problem of Microcracks Near the Tip of a Main Crack
,”
J. Mech. Phys. Solids
0022-5096,
37
,
27
46
.
10.
Cai
,
H.
, and
Faber
,
K. T.
, 1992, “
On the Use of Approximate Methods for Microcrack Shielding
,”
ASME J. Appl. Mech.
0021-8936,
59
,
497
501
.
11.
Buckner
,
H. F.
, 1958, “
The Propagation of Cracks and the Energy of Elastic Deformation
,”
Trans. ASME
0097-6822,
80E
,
1225
1230
.
12.
Yan
,
X.
, 2005, “
An Efficient and Accurate Numerical Method of SIFs Calculation of a Branched Crack
,”
ASME J. Appl. Mech.
0021-8936,
72
(
3
),
330
340
.
13.
Crouch
,
S. L.
, and
Starfied
,
A. M.
, 1983,
Boundary Element Method in Solid Mechanics, with Application in Rock Mechanics and Geological Mechanics
, London,
Geore Allon & Unwin, Bonton
, Sydney.
You do not currently have access to this content.