In Part 1 of this work, an analytical model was developed for the fundamental solution for a crack embedded in an infinite nonhomogeneous plate. This fundamental solution is used here to generate the stress intensity factors and strain energy release rates for fully interactive multiple crack problems. Also, a numerical technique used in solving the singular integral equation in Part I is presented, along with a parametric study. The parametric study addresses the influence of crack distance, relative angular orientation, and the coefficient of nonhomogeneity on the crack driving forces. The strain energy release rate is recommended for use as a crack propagation criterion because it depends on the local material properties as well as all the remaining parameters contained in the stress intensity factors.

1.
Binienda
WK
Arnold
SM
,
1995
,
Driving Force Analysis in an Infinite Anisotropic Plate with Multiple Crack Interactions
,
International Journal of Fracture
, vol.
66
2
(pg.
213
-
245
)
2.
Erdogan
F
,
1962
,
On the Stress Distribution in Plates with Collinear Cuts Under Arbitrary Loads
,
Proceedings of the Fourth U.S. National Congress of Applied Mechanics
, vol.
66
2
ASME
New York
(pg.
547
-
553
)
3.
Horii
H
Nemat-Nasser
S
,
1985
,
Elastic Fields of Interacting Inhomogeneities
,
Int. J. Solids Structure
, vol.
66
2
(pg.
731
-
745
)
4.
Konda
N
Erdogan
F
,
1994
,
The Mixed Mode Crack Problem in a Non-Homogeneous Elastic Medium
,
Engineering Fracture Mechanics
, vol.
66
2
(pg.
533
-
545
)
5.
Shbeeb
NI
,
1998
,
General Crack Problems in Functionally Graded Materials
,
Ph.D. dissertation
The University of Akron
Akron, OH
6.
Shbeeb
NI
Binienda
WK
Kreider
KL
,
1999
,
Analysis of the Driving Forces for Multiple Cracks in an infinite Nonhomogeneous Plate, Part I: Theoretical Analysis
,
ASME JOURNAL OF APPLIED MECHANICS
, vol.
66
2
(pg.
492
-
500
)
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