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ASTM Selected Technical Papers
Composite Materials: Testing and Design (Ninth Volume)
By
SP Garbo
SP Garbo
1Sikorsky Aircraft Division,
United Technologies Corp.
,
Stratford, CT 06601
;
symposium chairman and editor
.
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ISBN-10:
0-8031-1287-4
ISBN:
978-0-8031-1287-2
No. of Pages:
598
Publisher:
ASTM International
Publication date:
1990

An investigation into the bolted joint strength of Kevlar/epoxy and graphite/ epoxy [0/45/90/-45]2s composite laminates is presented. The fundamental problem of a single bolt hole loaded symmetrically in tension is considered. The first objective of the study was to generalize the relationships between width, edge distance, hole size, thickness, washer diameter, and degree of lateral constraint with bolted joint strength based on experimental observations. The second objective, which is the focus of this paper, was to numerically predict the same observation using only the composite's lamina properties. The effective laminate behavior is calculated using a nonlinear laminate analysis based on lamina properties and ply orientations. The effective laminate properties are then input into a nonlinear finite-element analysis computer code to model the bolted joint. The predicted bolted joint failure regions and strengths were consistent with the experimental data, although improved nonlinear constitutive finite-element models are needed. The analysis is useful in predicting critical width, edge distance, and washer sizes needed to optimize bolted joint strength.

1.
Jurf
,
R. A.
, “
Behavior of Bolted Joints in Composite Laminates
,” Ph.D dissertation,
University of Delaware
, Newark, DE,
06
1986
.
2.
Lekhnitskii
,
S. G.
,
Theory of Elasticity of an Anisotropic Elastic Body
,
Holden-Day, Inc.
,
New York
,
1963
.
3.
Waszczak
,
J. P.
and
Cruse
,
T. A.
, “
A Synthesis Procedure for Mechanically Fastened Joints in Advanced Composite Materials
,” AIAA/ASME/SAE 14th Structures. Structural Dynamics, and Materials Conference,
Williamsburg, VA
,
03
1973
.
4.
Oplinger
,
D. W.
and
Gandhi
,
K. R.
, “
Analytical Studies of Structural Performance in Mechanically Fastened Fiber-Reinforced Plates
,”
Proceedings
, Army Symposium on Solid Mechanics,
09
1974
, AMMRC-MS74-8, pp. 211–240.
5.
de Jong
,
T.
, “
Stresses Around Pin-Loaded Holes in Elastically Orthotropic or Isotropic Plates
,”
Journal of Composite Materials
, Vol.
11
,
07
1977
, pp. 313–331.
6.
Ogonowski
,
J. M.
, “
Analytical Study of Finite Geometry Plates and Stress Concentrations
,” AIAA-80-0778,
1980
, pp. 694–698.
7.
de Jong
,
T.
, “
Stresses Around Pin-Loaded Holes in Composite Materials
,”
Mechanics of Composite Materials: Recent Advances, Proceedings
, IUTAM Symposium,
Blacksburg, VA
, August 16–19, 1982,
Hashin
Z.
and
Herakovich
C. T.
, Eds.,
Pergamon Press
,
New York
,
1983
, pp. 339–353.
8.
Klang
,
E. C.
and
Hyer
,
M. W.
, “
The Stress Distribution in Pin-Loaded Orthotropic Plates
,” VPI-E-85-13,
Virginia Polytechnic Institute and State University
,
Blacksburg, VA
,
1985
.
9.
Crews
,
J. H.
,
Hong
,
C. S.
, and
Raju
,
I. S.
, “
Stress-Concentration Factors for Finite Orthotropic Laminates with a Pin-Loaded Hole
,” NASA-TP-1862,
National Aeronautics and Space Administration
, Washington, DC,
1981
.
10.
Rowlands
,
R. E.
,
Rahman
,
M. U.
,
Wilkinson
,
T. L.
, and
Chiang
,
Y. I.
, “
Single- and Multiple-Bolted Joints in Orthotropic Materials
,”
Composites
 0010-4361, Vol.
13
, No.
3
,
07
1982
, pp. 273–278.
11.
Rahman
,
M. U.
,
Rowlands
,
R. E.
,
Cook
,
R. D.
, and
Wilkinson
,
T. L.
, “
An Iterative Procedure for Finite-Element Stress Analysis of Frictional Contact Problems
,”
Computers and Structures
 0045-7949, Vol.
18
, No.
6
,
1984
, pp. 947–954.
12.
Matthews
,
F. L.
,
Wong
,
C. M.
, and
Chryssafitis
,
S.
, “
Stress Distribution Around a Single Bolt in Fibre-Reinforced Plastic
,”
Composites
,
07
1982
, pp. 316–322.
13.
Humphris
,
N. P.
, “
Migration of the Point of Maximum Stress in a Laminated Composite Lug Structure-A Stepwise Approach
,”
Symposium: Jointing in Fibre Reinforced Plastics
,
Imperial College, London
,
09
1978
, pp. 79–86.
14.
Chang
,
F.-K.
,
Scott
,
R. A.
, and
Springer
,
G. S.
, “
Failure Strength of Nonlinearly Elastic Composite Laminates Containing a Pin-Loaded Hole
,”
Journal of Composite Materials
, Vol.
18
,
09
1984
, pp. 464–477.
15.
Yoshifumi
,
T.
and
Wilson
,
D.
, “
Elasto-Plastic Failure Analysis of Composite Bolted Joints
,” CCM-85-09,
University of Delaware
,
Newark, DE
,
1985
.
16.
Waszczak
,
J. P.
and
Cruse
,
T. A.
, “
Failure Mode and Strength Predictions of Anisotropic Bolt Bearing Specimens
,”
Journal of Composite Materials
, Vol.
5
,
07
1971
, pp. 421–425.
17.
Waddups
,
M. E.
,
Eisenmann
,
J. R.
, and
Kaminski
,
B. E.
, “
Macroscopic Fracture Mechanics of Advanced Composite Materials
,”
Journal of Composite Materials
, Vol.
5
,
10
1971
, pp. 446–455.
18.
Whitney
,
J. M.
and
Nuismer
,
R. J.
, “
Stress Fracture Criteria for Laminated Composites Containing Stress Concentrations
,”
Journal of Composite Materials
, Vol.
8
,
07
1974
, pp. 253–265.
19.
Nuismer
,
R. J.
and
Labor
,
J. D.
, “
Applications of the Average Stress Failure Criterion: Part I-Tension
,”
Journal of Composite Materials
, Vol.
12
,
07
1978
, pp. 238–249.
20.
Eisenmann
,
J. R.
, “
Bolted Joint Static Strength Model for Composite Materials
,” Third Conference on Fibrous Composites in Flight Vehicle Design, 4–6 Nov. 1975, NASA-TM-X-3377,
National Aeronautics and Space Administration
,
Washington, DC
, pp. 563–602.
21.
Agarwal
,
B. L.
, “
Static Strength Prediction of Bolted Joint in Composite Material
,”
AIAA Journal
 0001-1452, Vol.
18
, No.
11
,
11
1980
, pp. 1371–1375.
22.
Wilson
,
D. W.
,
Gillespie
,
J. W.
,
York
,
J. L.
, and
Pipes
,
R. B.
, “
Failure Analyses of Composite Bolted Joints
,” CCM-80-16,
University of Delaware
,
Newark, DE
,
1981
.
23.
Garbo
,
S. P.
and
Ogonowski
,
J. M.
, “
Effect of Variances and Manufacturing Tolerances on the Design Strength and Life of Mechanically Fastened Composite Joints
,” AFWAL-TR-81-3041,
Air Force Wright Aeronautical Laboratories
, Dayton, OH,
04
1981
.
24.
Chang
,
F.-K.
,
Scott
,
R. A.
, and
Springer
,
G. S.
, “
Strength of Mechanically Fastened Composite Joints
,”
Journal of Composite Materials
, Vol.
16
,
11
1982
, pp. 470–494.
25.
Curtis
,
A. R.
and
Grant
,
P.
, “
The Strength of Carbon Fibre Composite Plates with Loaded and Unloaded Holes
,”
Composite Structures
 0045-7949, Vol.
2
,
1984
, pp. 201–221.
26.
Pipes
,
R. B.
,
Gillespie
,
J. W.
, and
Wetherhold
,
R. C.
, “
Superposition of the Notched Strength of Composite Laminates
,”
Polymer Engineering and Science
 0032-3888, Vol.
19
, No.
16
,
12
1979
, pp. 1151–1155.
27.
Awerbuch
,
J.
and
Madhukar
,
M. S.
, “
Notched Strength of Composite Laminates: Predictions and Experiments-A Review
,”
Journal of Reinforced Plastics and Composites
, Vol.
4
,
01
1985
.
28.
Takahashi
,
K.
,
Ban
,
K.
, and
Chou
,
T. W.
, “
Nonlinear Stress-Strain Behavior of Carbon/Glass Hybrid Composites
,” Fifth International Conference on Composite Materials,
San Diego, CA
,
1985
, pp. 1573–1589.
29.
Richard
,
R. M.
and
Blacklock
,
J R.
, “
Finite Element Analysis of Inelastic Structures
,”
AIAA Journal
 0001-1452, Vol.
17
, No.
3
,
03
1979
, p. 432.
30.
Hashin
,
Z.
, “
Failure Criteria for Unidirectional Fiber Composites
,”
Journal of Applied Mechanics
 0021-8936, Vol.
47
,
06
1980
, pp. 329–334.
31.
Hoffman
,
O.
, “
The Brittle Strength of Orthotropic Materials
,”
Journal of Composite Materials
, Vol.
1
,
1967
, pp. 200–206.
32.
Tsai
,
S. W.
and
Wu
,
E. M.
, “
A General Theory of Strength for Anisotropic Materials
,”
Journal of Composite Materials
, Vol.
1
,
1967
, pp. 200–206.
33.
Narayanaswami
,
R.
and
Adelman
,
H. M.
, “
Evaluation of the Tensor Polynomial and Hoffman Strength Theories for Composite Materials
,”
Journal of Composite Materials
, Vol.
11
,
1977
, pp. 366–377.
34.
Tsai
,
S. W.
and
Hahn
,
H. T.
,
Introduction to Composite Materials
,
Technomic Publishing Co.
,
Westport, CT
,
1980
, p. 286.
35.
Automatic Dynamic Incremental Nonlinear Analysis
,”
ADINA Engineering
,
Watertown, MA
,
09
1981
.
36.
Bathe
,
K.-J.
,
Finite Element Procedures in Engineering Analysis
,
Prentice-Hall, Inc.
,
Englewood Cliffs, NJ
,
1982
.
37.
Harris
,
C. E.
and
Morris
,
D. H.
, “
Fracture Behavior of Thick, Laminated Graphite/Epoxy Composites
,” NASA-CR-3784,
National Aeronautics and Space Administration
, Washington, DC,
03
1984
.
38.
Harris
,
C. E.
and
Morris
,
D. H.
, “
Fracture of Thick Laminated Composites
,”
Experimental Mechanics
, Vol.
26
, No.
1
,
03
1986
, pp. 34–41.
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