The generalized method of cells, an interfacial constitutive model and a probabilistic model are combined to yield an approach for modeling the stress-strain response of fibrous composites with fiber/matrix interfacial damage. It has been shown that the limitations of a single repeating cell in representing the response of a composite with debonding interfaces can be overcome through the introduction of a probabilistic modelling approach based upon an effective interfacial strength. This approach is used to recover the transverse tensile and axial shear response of unidirectional silicon-carbide/titanium as measured in the laboratory.

1.
Aboudi
J.
,
1989
, “
Micromechanical Analysis of Composites by the Method of Cells
,”
Applied Mechanics Reviews
, Vol.
42
, No.
7
, pp.
193
221
.
2.
Aboudi, J., 1991, Mechanics of Composite Materials: A Unified Micromechanical Approach, Elsevier, Amsterdam.
3.
Aboudi, J., and Pindera, M-J., 1992, “Micromechanics of Metal Matrix Composites Using the Generalized Method of Cells Model (GMC) User’s Guide,” NASA Contractor Report 190756.
4.
Johnson, W. S., Lubowinski, S. J., and Highsmith, A. L., 1990, “Mechanical Characterization of Unnotched SCS6/Ti-15-3 Metal Matrix Composites at Room Temperature,” Thermal & Mechanical Behavior of Metal Matrix & Ceramic Matrix Composites, ASTM STP 1080, Kennedy, Moeller, and Johnson, eds., Am. Soc. Testing & Materials, Philadelphia, pp. 193–218.
5.
Ladeveze
P.
, and
Le Dantec
E.
,
1992
, “
Damage Modelling of the Elementary Ply for Laminated Composites
,”
Composites Science and Technology
, Vol.
43
, pp.
257
267
.
6.
Lissenden
C. J.
,
Herakovich
C. T.
, and
Lerch
B. A.
,
1996
, “
Response of SiC/ Ti under Combined Loading. Part III: Microstructural Evaluation
,”
J. Composite Materials
, Vol.
30
, No.
1
, pp.
84
108
.
7.
Lissenden
C. J.
,
Pindera
M.-J.
, and
Herakovich
C. T.
,
1995
, “
Response of SiC/Ti under Combined Loading, Part I: Theory and Experiment for Imperfect Bonding
,”
J. Composite Materials
, Vol.
29
, No.
2
, pp.
130
155
.
8.
Needleman
A.
,
1992
, “
Micromechanical Modelling of Interfacial Decohe-sion
,”
Ultramicroscopy
, Vol.
40
, pp.
203
214
.
9.
Nutt
S. R.
, and
Wawner
F. E.
,
1985
, “
Silicon Carbide Filaments: Microstructure
,”
J. Materials Science
, Vol.
20
, pp.
1953
1953
.
10.
Paley
M.
, and
Aboudi
J.
,
1992
, “
Micromechanical Analysis of Composites by the Generalized Cells Model
,”
Mechanics of Materials
, Vol.
14
, pp.
127
139
.
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