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ASTM Selected Technical Papers
Metal Matrix Composites: Testing, Analysis, and Failure ModesAvailable to Purchase
By
WS Johnson
WS Johnson
1
NASA Langley Research Center
,
Hampton, VA
;
symposium chairman and editor
.
Search for other works by this author on:
ISBN-10:
0-8031-1270-X
ISBN:
978-0-8031-1270-4
No. of Pages:
295
Publisher:
ASTM International
Publication date:
1989

It is reasonably well accepted that the standard procedures developed for isotropic homogeneous metals using linear elastic fracture mechanics models are not appropriate for either continuously or discontinuously reinforced metal matrix composites. For example, the ASTM plane strain fracture toughness test methods typically give widely different values of fracture toughness depending on the particular test specimen geometry as well as the fiber orientation. For unidirectional boron/aluminum composites one finds approximately a factor of two difference between the measured values of fracture toughness obtained from a center-notched test coupon and that given by a compact tension specimen. In particular for unidirectional composites, and to a slightly lesser degree for angle ply laminates, the dominant controlling mechanism for this behavior is matrix plasticity. A secondary toughening mechanism, resulting from the matrix plasticity, is stable transverse fiber failure. The present paper will focus on both the influence of the large plastic zone at the end of the notch and on the constraint that the fibers impose on the shape of this zone, as well as the transverse crack growth. First, a review of some particular experimental studies and methods of analysis for predicting crack growth and fracture of notched unidirectional metal matrix composites is given. Next, two mechanistic models for unidirectional composites with damage are presented. The first is an improved shear lag model that accounts for both of the above damage modes, and the second describes a recent extension of the shear lag concept in an attempt to include transverse stresses. A related finite width laminate model is then discussed, and it is indicated that an isotropic finite width correction factor is reasonably accurate for most center-notched test coupons.

1.
Awerbuch
,
J.
and
Madhukar
,
M. S.
, “
Notched Strength of Composite Laminates: Predictions and Experiments
,”
Journal of Reinforced Plastics and Composites
, Vol.
4
,
01
1985
, pp. 1–159.
2.
Waszczak
,
J. P.
, “
Applicability of Linear Elastic Fracture Mechanics to 5.6-mil Boron/6061 Aluminum
,”
Journal of Aircraft
 0021-8669, Vol.
13
,
1976
, pp. 770–777.
3.
Sun
,
C. T.
and
Prewo
,
K. M.
, “
The Fracture Toughness of Boron Aluminum Composites
,”
Journal of Composite Materials
, Vol.
11
,
04
1977
, pp. 164–175.
4.
Mar
,
J. W.
and
Lin
,
K. Y.
, “
Fracture of Boron/Aluminum Composites with Discontinuities
,”
Journal of Composite Materials
, Vol.
11
,
10
1977
, pp. 405–421.
5.
Peters
,
P.
, “
Fracture Mechanical Investigations on Unidirectional Boron-Aluminum and Boron-Ep-oxy Composites
,”
Journal of Composite Materials
, Vol.
12
,
07
1978
, pp. 250–261.
6.
Awerbuch
,
J.
and
Hahn
,
H. T.
, “
K-Calibration of Unidirectional Metal Matrix Composites
,”
Journal of Composite Materials
, Vol.
12
,
07
1978
, pp. 222–237.
7.
Awerbuch
,
I.
and
Hahn
,
H. T.
,
Crack-Tip Damage and Fracture Toughness of Boron/Aluminum Composites
,“
Journal of Composite Materials
, Vol.
13
,
04
1979
, pp. 82–107.
8.
Awerbuch
,
J.
and
Hahn
,
H. T.
, “
Fracture Behavior of Metal Matrix Composites
,”
Proceedings of the Society of Engineering Science, Recent Advances in Engineering Science
,
1977
, pp. 343–350.
9.
Whitney
,
J. M.
and
Nuismer
,
R. J.
, “
Stress Fracture Criteria for Laminated Composite Containing Stress Concentrations
,”
Journal of Composite Materials
, Vol.
8
,
04
1974
, pp. 253–265.
10.
Reedy
,
E. D.
, Jr.
, “
Analysis of Center-Notched Monolayers with Application to Boron/Aluminum Composites
,”
Journal of the Mechanics and Physics of Solids
, Vol.
28
,
1980
, pp. 265–286.
11.
Reedy
,
E. D.
, Jr.
, “
On the Specimen Dependence of Unidirectional Boron/Aluminum Fracture Toughness
,
Journal of Composite Materials Supplement
, Vol.
14
,
1980
, pp. 118–131.
12.
Reedy
,
E. D.
, Jr.
, “
Notched Unidirectional Boron/Aluminum: Effect of Matrix Properties
,”
Journal of Composite Materials
, Vol.
16
,
11
1982
, pp. 495–509.
13.
Sova
,
J. A.
and
Poe
,
C. C.
, Jr.
, “
Tensile Stress-Strain Behavior of Boron/Aluminum Laminates
,” NASA TP-1117,
1978
.
14.
Poe
,
C. C.
, Jr.
and
Sova
,
J. A.
, “
Fracture Toughness of Boron/Aluminum Laminates with Various Proportions of 0° and ±45° Plies
,” NASA TP-1707,
11
1980
.
15.
Poe
,
C. C.
, Jr.
, “
A Unified Strain Criterion for Fracture of Fibrous Composite Laminates
,”
Engineering Fracture Mechanics
, Vol.
17
, No.
2
,
1983
, pp. 153–171.
16.
Johnson
,
W. S.
,
Bigelow
,
C. A.
, and
Bahei-El-Din
,
Y. A.
, “
Experimental and Analytical Investigation of the Fracture Processes of Boron/Aluminum Laminates Containing Notches
,” NASA TP-2187,
07
1983
.
17.
Johnson
,
W. S.
and
Bigelow
,
C. A.
, “
Elastic-Plastic Stress Concentrations around Crack-Like Notches in Continuous Fiber Reinforced Metal Matrix Composites
,” NASA Technical Memorandum 89093,
02
1987
.
18.
Post
,
D.
,
Czarnek
,
R.
,
Joh
,
D.
,
Jo
,
J.
, and
Guo
,
Y.
, “
Elastic-Plastic Deformation of a Metal-Matrix Composite Coupon with a Center Slot
,” NASA Contractor Report 178013,
11
1985
19.
Goree
,
J. G.
and
Jones
,
W. F.
, “
Fracture Behavior of Unidirectional Boron/Aluminum Composite Laminates
,” NASA Contractor Report 3753,
12
1983
.
20.
Jones
,
W. F.
and
Goree
,
J. G.
, “
Fracture Behavior of Unidirectional Boron/Aluminum Composite Laminates
,”
Mechanics of Composite Materials—1983
, ASME AMD Vol.
58
,
1983
, pp. 171–178.
21.
Dharani
,
L. R.
,
Jones
,
W. F.
, and
Goree
,
J. G.
, “
Mathematical Modeling of Damage in Unidirectional Composites
,”
Engineering Fracture Mechanics
, Vol.
17
,
1983
, pp. 555–573.
22.
Tsangarakis
,
N.
,
Andrews
,
B. O.
, and
Cavallaro
,
C.
, “
Mechanical Properties of Some Silicon Carbide Reinforced Aluminum Composites
,”
Journal of Composite Materials
, Vol.
21
,
05
1987
, pp. 481–492.
23.
Kenaga
,
D.
,
Doyle
,
J. F.
, and
Sun
,
C. T.
, “
The Characterization of Boron/Aluminum Composite in the Nonlinear Range as an Orthotropic Elastic-Plastic Material
,”
Journal of Composite Materials
,Vol.
21
,
06
1987
, pp. 516–531.
24.
Reedy
,
E. D.
, Jr.
, “
Fiber Stresses in a Cracked Monolayer: Comparison of Shear Lag and 3-D Finite Element Predictions
,”
Journal of Composite Materials
, Vol.
18
,
11
1984
, pp. 595–607.
25.
Hedgepeth
,
J. M.
, “
Stress Concentrations in Filamentary Structures
,” NASA TN D-882,
05
1961
.
26.
Goree
,
J. G.
and
Gross
,
R. S.
, “
Analysis of a Unidirectional Composite Containing Broken Fibers and Matrix Damage
,”
Engineering Fracture Mechanics
, Vol.
13
,
1979
, pp. 563–578.
27.
Sendeckyj
,
G. P.
and
Jones
,
W. F.
, “
An Improved First Order Shear Lag Theory for Unidirectional Composites with Broken Fibers
,”
Engineering Fracture Mechanics
, in press.
28.
Jones
,
W. F.
, “
On the Accuracy of Higher Order Shear Lag Models
,” Engineering Science Preprint ESP22/85046,
Society of Engineering Science
,
10
1985
.
29.
Jones
,
W. F.
, “
Consistent Shear Lag Modeling of Damage in Unidirectional Composite Laminates
,” Final Report USAF Contract F49620-85-C-0035,
11
1985
.
30.
Goree
,
J. G.
and
Dharani
,
L. R.
, “
Shear Lag Analysis of a Hybrid, Unidirectional Composite with Fiber Damage
,” NASA Contractor Report 3682,
04
1983
.
31.
Dharani
,
L. R.
, “
Analysis of a Hybrid, Unidirectional Laminate with Damage
,” Ph. D. Dissertation,
Clemson University
, Clemson, SC,
08
1982
.
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