A new nondimensional number (η) to predict the dominant failure mechanism of fiber reinforced composites under compression loading is presented. Results from previous experimental investigations on the failure of glass fiber reinforced and carbon fiber reinforced vinylester matrix composites, respectively, were used to motivate and develop η. Experimental results available in the open literature are used to compare the predictions of η. This number can be used as a design tool to develop new composite materials with a preferred failure mode. The exercise of developing such a number provides insight into parameters that control the compressive strength of fiber reinforced composite materials.

1.
Rosen, B. W., 1965, “Mechanics of Composite Strengthening,” Composite Materials, S. H. Bush, ed., American Society of Metals, Metals Park, OH, pp. 37–75.
2.
Argon, A. S., 1972, “Fracture of Composites,” Treatise on Materials Science and Technology, H. Herman, ed., Academic Press, New York, 1, pp. 79–114.
3.
Budiansky
,
B.
,
1983
, “
Micromechanics
,”
Comput. Struct.
,
16
, pp.
3
12
.
4.
Budiansky
,
B.
, and
Fleck
,
N. A.
,
1993
, “
Compressive Failure of Fibre Composites
,”
J. Mech. Phys. Solids
,
41
(
1
), pp.
183
211
.
5.
Schutz
,
J. B.
,
1998
, “
Properties of Composite Materials for Cryogenic Applications
,”
Cryogenics
,
38
(
1
), pp.
3
11
.
6.
Lee
,
S. H.
, and
Waas
,
A. M.
,
1999
, “
Compressive Response and Failure of Fiber Reinforced Unidirectional Composites
,”
Int. J. Fract.
,
100
, pp.
275
306
.
7.
Piggott
,
M. R.
, and
Harris
,
B.
,
1980
, “
Compression Strength of Carbon, Glass and Kevlar-49 Fibre Reinforced Polyester Resins
,”
J. Mater. Sci.
,
15
, pp.
2523
2538
.
8.
Drzal
,
L. T.
,
Rich
,
M. J.
, and
Llyod
,
P. M.
,
1982
, “
Adhesion of Graphite Fibers to Epoxy Matrices: I. The Role of Fiber Surface Treatment
,”
J. Adhes.
,
16
, pp.
1
30
.
9.
Oguni
,
K.
, and
Ravichandran
,
G.
,
2000
, “
An Energy-Based Model of Longitudinal Splitting in Unidirectional Fiber-Reinforced Composites
,”
ASME J. Appl. Mech.
,
67
, pp.
437
443
.
10.
Piggott
,
M. R.
,
1981
, “
A Theoretical Framework for the Compressive Properties of Aligned Fibre Composites
,”
J. Mater. Sci.
,
16
, pp.
2837
2845
.
11.
Yerramalli
,
Chandra S.
, and
Waas
,
A. M.
,
2003
, “
A New Failure Criterion for Fiber Reinforced Polymer Composites Under Combined Compression-Torsion Loading
,”
Int. J. Solids Struct.
,
40
, pp.
1139
1164
.
12.
Oguni
,
K.
,
Tan
,
C. Y.
, and
Ravichandran
,
G.
,
2000
, “
Failure Mode Transition in Unidirectional E-Glass/Vinylester Composites Under Multiaxial Compression
,”
J. Compos. Mater.
,
34
(
24
), pp.
2081
2097
.
13.
Lee, S. H., 1998, “Compressive Behavior of Fiber Reinforced Unidirectional Composites,” Ph.D. thesis, Aerospace Engineering Department, University of Michigan, Ann Arbor, MI.
14.
Lee
,
S. H.
,
Yerramalli
,
C. S.
, and
Waas
,
A. M.
,
2000
, “
Compressive Splitting Response of Glass-Fiber Reinforced Unidirectional Composites
,”
Compos. Sci. Technol.
,
60
, pp.
2957
2966
.
15.
Kyriakides, S., Arseculeratne, R., Perry, E. J., and Liechti, K. M., 1995, “On the Compressive Failure of Fiber Reinforced Composites” (Proceedings of the Sixtieth Birthday Celebration of Prof. W. G. Knauss), International Journal of Solids and Structures, 32, pp. 689–738.
16.
Vogler
,
T. J.
, and
Kyriakides
,
S.
,
1999
, “
Inelastic Behavior of an AS4/PEEK Composite Under Combined Transverse Compression and Shear. Part I: Experiments
,”
J. Color Soc.
,
15
, pp.
783
806
.
17.
Hsu
,
S. Y.
,
Vogler
,
T. J.
, and
Kyriakides
,
S.
,
1999
, “
Inelastic Behavior of an AS4/PEEK Composite Under Combined Transverse Compression and Shear. Part II: Modeling
,”
J. Color Soc.
,
15
, pp.
807
836
.
18.
Drapier
,
S.
,
Grandidier
,
J.-C.
, and
Potier-Ferry
,
M.
,
1999
, “
Towards a Numerical Model of the Compressive Strength for Long Fiber Composites
,”
Eur. J. Mech. A/Solids
,
18
(
1
), pp.
69
92
.
19.
Jelf
,
P. M.
, and
Fleck
,
N. A.
,
1994
, “
The Failure of Composite Tubes due to Combined Compression and Torsion
,”
J. Mater. Sci.
,
29
, pp.
3080
3084
.
20.
Berbinau
,
P.
,
Soutis
,
C.
,
Goutas
,
P.
, and
Curtis
,
P. T.
,
1999
, “
Effect of Off-Axis Ply Orientation on 0°-Fibre Microbuckling
,”
Composites
,
30
, pp.
1197
1207
.
21.
Khamseh
,
A.
, and
Waas
,
A. M.
,
1992
, “
Failure of Uniply Model Composites Under Compression
,”
ASME J. Eng. Mater. Technol.
,
114
, pp.
304
310
.
22.
Ahn
,
J. H.
, and
Waas
,
A. M.
,
1999
, “
A Micromechanics-Based Finite Element Model for Compressive Failure of Notched Uniply Composite Laminates Under Remote Biaxial Loads
,”
ASME J. Eng. Mater. Technol.
,
121
, pp.
360
366
.
23.
Drapier
,
S.
,
Grandidier
,
J.-C.
, and
Potier-Ferry
,
M.
,
1998
, “
Non-Linear Numerical Approach to the Analysis of Microbuckling
,”
Compos. Sci. Technol.
,
58
(
5
), pp.
785
790
.
24.
Wisnom
,
M. R.
, and
Atkinson
,
J. W.
,
1997
, “
Constrained Buckling Tests Show Increasing Compressive Strain to Failure With Increasing Strain Gradient
,”
Composites, Part A: Applied Science and Manufacturing
,
28
(
11
), pp.
959
964
.
25.
Wisnom
,
M. R.
,
1999
, “
Size Effects in the Testing of Fibre-Composite Materials
,”
Compos. Sci. Technol.
,
59
(
13
), pp.
1937
1957
.
26.
Bazant
,
Z. P.
,
Kim
,
J. H.
,
Daniel
,
I. M.
,
Becq-Giraudon
,
E.
, and
Zi
,
G.
,
1999
, “
Size Effect on Compression Strength of Fiber Composites Failing by Kink Band Propagation
,”
Int. J. Fract.
,
95
, pp.
103
141
.
27.
Budiansky
,
B.
,
Hutchinson
,
J. W.
, and
Evans
,
A. G.
,
1986
, “
Matrix Fracture in Fiber-Reinforced Ceramics
,”
J. Mech. Phys. Solids
,
34
(
2
), pp.
167
189
.
28.
Yerramalli, Chandra S., and Waas, A. M., 2001, “Failure of Composites Under Combined Loading,” Proceedings of 2001 ASME International Mechanical Engineering Congress and Exposition, New York, Nov. 11–16, ASME, New York, 66, pp. 31–40.
29.
Yerramalli, Chandra S., 2003, “A Mechanism Based Modeling Approach to Failure in Fiber Reinforced Composites,” PhD thesis, Aerospace Engineering Department, University of Michigan, Ann Arbor, 2003.
30.
Yerramalli
,
Chandra S.
, and
Waas
,
A. M.
,
2003
, “
The Effect of Fiber Diamter on the Compressive Strength of Composites: a 3D Finite Element Based Study
,”
Comput. Mech. Eng. Sci.
,
in press
in press
.
31.
Reed
,
R. P.
, and
Golda
,
M.
,
1997
, “
Cryogenic Composite Supports: A Review of Strap and Struct Properties
,”
Cryogenics
,
37
, pp.
233
250
.
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