Fiber pull-out is one of the fracture features of fiber-reinforced ceramic matrix composites. The onset of this mechanism is predicted by using continuum damage mechanics, and corresponds to a localization of deformation. After deriving two damage models from a uniaxial bundle approach, different configurations are analyzed through numerical methods. For one model some very simple criteria can be derived, whereas for the second one none of these criteria can be derived and the general criterion of localization must be used.

Issue Section:
Technical Papers
Topics:
Damage, Fiber reinforced composites, Composite materials, Damage mechanics, Deformation, Fiber reinforced ceramics, Fibers, Fracture (Process), Numerical analysis
1.
Benallal, A., Billardon, R., and Geymonat, G., 1991a, “Localization Phenomena at the Boundaries and Interfaces of Solids,” 3rd Conference on Constitutive Laws for Engineering Materials: Theory and Applications, C. S. Desai and G. Franlziskonis, eds., Tucson, AZ, Jan.
2.
Benallal
A.
,
Billardon
R.
, and
Lemaitre
J.
,
1991
b, “
Continuum Damage Mechanics and Local Approach to Fracture: Numerical Procedures
,”
Comp. Meth. in Appl. Mech. and Eng.
, Vol.
92
, pp.
141
–
155
.
3.
Billardon
R.
, and
Doghri
I.
,
1989
a, “
Pre´vision de l’amorc¸age d’une macrofissure par la localisation de l’endommagement
,”
C. R. Acad. Sci. Paris
, Vol.
308
, Serie II, pp.
347
–
352
.
4.
Billardon, R., and Doghri, I., 1989b, “Localization Bifurcation Analysis for Damage Softening Elasto-Plastic Materials,” Strain Localization and Size Effect due to Cracking and Damage, J. Mazars and Z. P. Bazant eds., Elsevier, New York, pp. 295–307.
5.
Borre´
G.
, and
Maier
G.
,
1989
, “
On Linear versus Nonlinear Flaw Rules in Strain Localization Analysis
,”
Meccanica
, Vol.
24
,
36
–
41
.
6.
Coleman
B. D.
,
1958
, “
On the Strength of Classical Fibers and Fiber Bundles
,”
J. Mech. Phys. Solids
, Vol.
7
, pp.
60
–
70
.
7.
Curtin
W. A.
,
1991
, “
Theory of Mechanical Properties of Ceramic-Matrix Composites
,”
J. Am. Ceram. Soc.
, Vol.
74
, No.
11
, pp.
2837
–
2845
.
8.
Doghri, I., 1989, “Etude de la localisation de l’endommagement,” The`se de l’Universite´ Paris 6, May.
9.
Hadamard, J., 1903, Lec¸on sur la propagation des ondes et les e´quations de l’hydrodynamique, Librairies scientifiques A, Hermann, Paris.
10.
Heredia
F. E.
,
Spearing
S. M.
,
Evans
A. G.
,
Mosher
P.
, and
Curtin
W. A.
,
1992
, “
Mechanical Properties of Carbon Matrix Composites Reinforced with Nicalon Fibers.
”
J. Am. Ceram. Soc.
, Vol.
75
, No.
11
, pp.
3017
–
3025
.
11.
Henstenburg
R. B.
, and
Phoenix
S. L.
,
1989
, “
Interfacial Shear Strength Studies Using the Single-Filament-Composite Test. Part II: A Probability Model and Monte-Carlo Simulations
,”
Polym. Comp.
, Vol.
10
, No.
5
, pp.
389
–
406
.
12.
Hild
F.
,
Larsson
P.-L.
, and
Leckie
F. A.
,
1992
, “
Localization Due to Damage in Fiber Reinforced Composites
,”
Int. J. Solids Struct.
, Vol.
29
, No.
4
, pp.
3221
–
3238
.
13.
Hild
F.
,
Domergue
J.-M.
,
Evans
A. G.
, and
Leckie
F. A.
,
1994
, “
Tensile and Flexural Ultimate Strength of Fiber Reinforced Ceramic-Matrix Composites
,”
Int. J. Solids Struct.
, Vol.
31
, No.
7
, pp.
1035
–
1045
.
14.
Hill
R.
,
1962
, “
Acceleration Waves in Solids
,”
J. Mech. Phys. Solids
, Vol.
10
, pp.
1
–
16
.
15.
Hult
J.
, and
Travnicek
L.
,
1983
, “
Carrying Capacity of Fiber Bundles with Varying Strength and Stiffness
,”
Journal de Me´canique The´orique et Applique´e
, Vol.
2
, No.
2
, pp.
643
–
657
.
16.
Krajcinovic
D.
, and
Silva
M. A. G.
,
1982
, “
Statistical Aspects of the Continuous Damage Theory
,”
Int. J. Solids Struct
, Vol.
18
, No.
7
, pp.
551
–
562
.
17.
Mandel
J.
,
1962
, “
Ondes Plastiques dans un Milieu Inde´fini a` Trois Dimensions
,”
J. de Me´canique
, Vol.
1
, No.
1
, pp.
3
–
30
.
18.
Ortiz
M.
,
Leroy
Y.
, and
Needelman
A.
,
1987
, “
A Finite Element Method for Localized Failure Analysis
,”
Comput. Meths. Appl. Eng.
, Vol.
61
, pp.
189
–
214
.
19.
Rice, J. R., 1976, “The Localization of Plastic Deformations,” Theoretical and Applied Mechanics, W. T. Koiter, ed., Elsevier, New York, pp. 207–220.
20.
Rice
J. R.
, and
Rudnicki
J. W.
,
1980
, “
A Note on Some Features of the Theory of Localization of Deformation
,”
Int. J. Solids Struct.
, Vol.
16
, pp.
597
–
605
.
21.
Rudnicki
J. W.
, and
Rice
J. R.
,
1975
, “
Conditions for Localization of Deformation in Pressure-Sensitive Dilatant Materials
,”
J. Mech. Phys. Solids
, Vol.
23
, pp.
371
–
394
.
22.
Weibull, W., 1939, “A Statistical Theory of the Strength of Materials,” Ingenio¨rsvetenskapakademiens, Handlingar Nr 151.
This content is only available via PDF.
Copyright © 1996
 by The American Society of Mechanical Engineers
You do not currently have access to this content.