Skip to Main Content
Skip Nav Destination
ASTM Selected Technical Papers
Composite Structures: Theory and Practice
By
P Grant
P Grant
1
Symposium co-chairman and Editor
;
The Boeing Co.
Search for other works by this author on:
C Rousseau
C Rousseau
2
Symposium co-chairman and Co-Editor
;
Bell Helicopter/Textron, Inc.
Search for other works by this author on:
ISBN-10:
0-8031-2862-2
ISBN:
978-0-8031-2862-0
No. of Pages:
568
Publisher:
ASTM International
Publication date:
2001

An approach based on damage tolerance is proposed for the design of bolted composite joints. The approach requires knowledge of failure processes and damage accumulation in composites under physical loading. Based on experimental observation, a progressive damage model was developed for predicting the accumulated damage and failure modes in composite joints.

In order to utilize the model for design, a computer code, 3DBOLT, has been developed. The code is based on the progressive damage model, and it interfaces with the commercial finite-element code ABAQUS to perform calculations of three-dimensional stresses, strains, and deformations of the joints for a given load. for a given joint configuration, ply orientation, and loading condition, the code can predict the response of the joint from the initial loading to final failure, estimate accumulated damage in the joint as a function of applied load, and predict the joint deformations. In order to verify the proposed damage model, the data obtained from the experiments were compared with the predictions from the 3DBOLT/ABAQUS code. Based on the code, a parametric study was performed to characterize several important factors that can significantly influence the design of bolted composite joints.

1.
Agarwal
,
B. L.
, “
Static Strength Prediction of Bolted Joints in Composite Material
,”
Proceedings, AIAA/ASME/ASCE/AHS. 20th Structure, Structural Dynamics and Material Conference
,
St. Louis, MO
,
04
1979
, pp. 303–309.
2.
Oplinger
,
D. W.
and
Gandhi
,
K. R.
, “
Stresses in Mechanically Fastened Orthotropic Laminates
,”
Proceedings of the Conference on Fibrous Composites in Flight Vehicle Design
,
Dayton, OH
, 21–24
05
1974
, Air Force Flight Dynamics Laboratory Report No. AFFDL-TR-74-103, pp. 811–842.
3.
Oplinger
,
D. W.
, “
Analytical Studies of Structural Performance in Mechanically Fastened Fiber-reinforced Plates
,”
Proceedings of the Army Symposium on Solid Mechanics, 1974: The Role of Mechanics in Design—Structural Joints
,
Army Materials and Mechanics Research Center
,
Watertown, MA
, Report No. AMMRC MS 74-8, pp. 211–242.
4.
Garbo
,
S. P.
and
Gallo
,
R. L.
, “
Strength of Laminates with Loaded Holes
,” presented at the 5th DOD/NASA Conference on Fibrous Composites in Structural Design,
New Orleans, LA
,
01
1981
.
5.
Matthews
,
F. L.
,
Joining Fiber-reinforced Plastics
,
London
,
Elsevier Applied Science
,
1987
.
6.
Chang
,
F.-K.
,
Scott
,
R. A.
, and
Springer
,
G. S.
, “
Failure of Composite Laminates Containing a Pin Loaded Holes—Method of Solution
,”
Journal of Composite Materials
, Vol.
18
,
1984
, pp. 255–278.
7.
Chang
,
F.-K.
,
Scott
,
R. A.
, and
Springer
,
G. S.
, “
Failure Strength of Nonlinear Elastic Composite Laminates Containing a Pin Loaded Holes
,”
Journal of Composite Materials
, Vol.
18
,
1984
, pp. 467–477.
8.
Waszczak
,
J. P.
and
Cruse
,
T. A.
, “
Failure Mode and Strength Predictions of an Isotropie Bolt-bearing Specimens
,”
Journal of Composite Materials
, Vol.
5
,
1971
, pp. 421–425.
9.
Soni
,
S. R.
, “
Stress and Strength Analysis of Bolted Joints in Composite Laminates
,”
Composite Structures
,
Marshall
I. H.
, Ed.,
Applied Science Publishers
,
NJ
,
1981
, pp. 50–62.
10.
Soni
,
S. R.
, “
Failure Analysis of Composite Laminates with a Fastener Hole
,”
Joining of Composite Materials, Special Technical Publications 749
,
Published by ASTM
,
Philadelphia, PA
, pp. 145–164.
11.
Tsujimoto
,
Y.
and
Wilson
,
D.
, “
Elasto-Plastic Failure Analysis of Composite Bolted Joints
,”
Journal of Composite Materials
, Vol.
20
,
1986
, pp. 236–252.
12.
Wilson
,
D. W.
and
Tsujimoto
,
Y.
, “
On Phenomenological Failure Criteria for Composite Bolted Joint Analysis
,”
Composite Science and Technology
, Vol.
26
,
1986
, pp. 283–305.
13.
Lessard
,
L. B.
and
Shokrieh
,
M. M.
, “
Two-dimensional Modeling of Composite Pinned-joint Failure
,”
Journal of Composite Materials
, Vol.
29
, No.
5
,
1995
, pp. 671–697.
14.
Eriksson
,
L. I.
, “
On the Bearing Strength of Bolted Graphite/Epoxy Laminates
,”
Journal of Composite Materials
, Vol.
24
,
1990
, pp. 1246–1269.
15.
Eriksson
,
L. I.
, “
Contact Stresses in Bolted Joints of Composite Laminates
,”
Composite Structures
 0045-7949, Vol.
6
,
1986
, pp. 57–75.
16.
Chiang
,
Y. J.
and
Rowlands
R. E.
, “
Finite Element Analysis of Mixed-mode Fracture of Bolted Composite Joints
,”
Journal of Composite Technology Research
, Vol.
13
, No.
4
, Winter
1990
, pp. 227–235.
17.
Tsai
,
M. Y.
and
Morton
,
J.
, “
Stress and Failure Analysis of a Pin-loaded Composite Plate: An Experimental Study
,”
Journal of Composite Materials
, Vol.
24
,
1990
, pp. 1101–1120.
18.
Chang
,
F.-K.
and
Chang
,
K.-Y.
, “
Post-Failure Analysis of Bolted Composite Joints in Tension or Shear-out Mode Failure
,”
Journal of Composite Materials
, Vol.
21
,
1987
, pp. 809–827.
19.
Crews
,
J. H.
and
Naik
,
R. A.
, “
Combined Bearing and Bypass Loading on a Graphite/Epoxy Laminate
,”
Composite Structures
 0045-7949, Vol.
6
,
1986
, pp. 21–40.
20.
Hart-Smith
,
L. J.
, “
Mechanically-Fastened Joints for Advanced Composite-Phenomenological Considerations and Simple Analysis
,” Douglas paper 6748,
1978
, pp. 1–32.
21.
Hart-Smith
,
L. J.
, “
Bolted Joints in Graphite/Epoxy Composites
,” NASA Cr144899,
National Aeronautics and Space Administration
, Washington, DC,
01
1977
.
22.
Smith
P. A.
,
Pascoe
K. J.
,
Polak
C.
, and
Stroud
D. O.
, “
The Behavior of Single-lap Bolted Joints in CFRP Laminates
,”
Composite Structures
 0045-7949, Vol.
6
, No.
1–3
,
1986
, pp. 41–55.
23.
Nekrasov
,
Yu. A.
, “
A Study of the Strength of Bolted Joints Between Metal and Composite Plates
,”
Soviet Machine Science
, No.
3
,
1985
, pp. 87–91.
24.
Stockdale
,
J. H.
and
Matthews
,
F. L.
, “
The Effect of Clamping Pressure of Bolt Bearing Loads in Glass Fiber-Reinforced Plastics
,”
Composites
, Vol.
7
,
1971
, pp. 34–38.
25.
Crews
,
J. H.
, “
Bolt-Bearing Fatigue of a Graphite/Epoxy Laminates
,”
Joining of Composite Materials
, ASTM STP 749,
Kedward
K. T.
, Ed.,
American Society for Testing and Materials
,
Philadelphia, PA
,
1981
, pp. 131–144.
26.
Matthews
,
F. L.
,
Roshan
,
A. A.
, and
Philips
,
L. N.
, “
The Bolt Bearing Strength of Glass/Carbon Hybrid Composites
,”
Composites
, Vol.
13
,
1982
, pp. 225–227.
27.
Collings
,
T. A.
, “
On the Bearing Strength of CFRP Laminates
,”
Composites
, Vol.
13
,
1982
, pp. 241–252.
28.
Collings
,
T. A.
and
Beauchamp
M. J.
, “
Bearing Deflection Behavior of a Loaded Hole in CFRP
,”
Composites
, Vol.
15
, No.
1
,
1984
, pp. 33–38.
29.
Cooper
,
C.
and
Turvey
,
G. J.
, “
Effects of Joint Geometry and Bolt Torque on the Structural Performance of Single Bolt Tension Joints in Pultruded GRP Sheet Material
,”
Composite Structures
 0045-7949, Vol.
32
,
1995
, pp. 217–226.
30.
Graham
,
U.
,
Winsom
,
M. R.
, and
Webber
,
P. H.
, “
A Novel Finite Element Investigation of the Effects of Washer Friction in Composite Plates with Bolt-filled Holes
,”
Composite Structures
 0045-7949, Vol.
29
,
1994
, pp. 329–339.
31.
Balie
,
J. A.
,
Duggan
,
M. F.
, and
Bradshaw
,
N. C.
, “
Design Data for Graphite Cloth Epoxy Bolted Joints at Temperatures Up to 450 K
,”
Joining of Composite Materials
, ASTM STP 749,
Kedward
K. T.
, Ed.,
American Society for Testing and Materials
,
Philadelphia, PA
,
1981
, pp. 165–180.
32.
Herrington
,
P. D.
and
Sabbaghian
,
M.
, “
Fatigue Failure of Composite Bolted Joints
,”
Journal of Composite Materials
, Vol.
27
, No.
5
,
1993
, pp. 491–512.
33.
Akay
,
M.
, “
Bearing Strength of As-cured and Hydrothermally Conditioned Carbon Fiber/Epoxy Composites Under Static and Dynamic Loading
,”
Composites
, Vol.
23
, No.
2
,
03
1989
, pp. 101–108.
34.
Wang
,
H.-S.
Hung
,
C.-L.
, and
Chang
,
F.-K.
, “
Bearing Failure of Bolted Composite Joints. Part I: Experimental of Characterization
,”
Journal of Composite Materials
, Vol.
30
, No.
12
,
1996
, pp. 1248–1313.
35.
Hung
,
C.-L.
and
Chang
,
F.-K.
, “
Bearing Failure of Bolted Composite Joints. Part II: Model and Verification
,”
Journal of Composite Materials
, Vol.
30
, No.
12
,
1996
, pp. 1359–1400.
36.
Sun
,
H.-T.
,
Yan
,
Y.
, and
Chang
,
F.-K.
, “
Is Clamping Necessary for Bolted Composite Joints?
,”
Proceedings of the 11th DOD/NASA/FAA Conference on Fibrous Composite in Structural Design
,
Fort Worth, TX
, 26–28 Aug. 1996.
37.
Morgan
,
M. E.
and
Beckwith
,
S. W.
, “
Bolt Torque Loading and Radial Gap Effects on Thick-wall Composite Joint Strength
,”
Proceedings of the 30th National SAMPE Symposium
, 19–21 March 1985, pp. 1321–1334.
38.
Horn
,
W. J.
and
Schmitt
,
R. R.
, “
Influence of Clamp-up Force on the Strength of Bolted Composite Joints
,”
AIAA Journal
 0001-1452, Vol.
32
, No.
3
,
1993
, pp. 665–667.
39.
Smith
,
P. A.
,
Ashby
,
M. F.
, and
Pascoe
,
K. J.
, “
Modeling Clamp-up Effects in Composite Bolted Joints
,”
Journal of Composite Materials
, Vol.
21
, No.
12
,
1987
, pp. 878–897.
40.
Camanho
,
P. P.
and
Matthews
,
F. L.
, “
Stress Analysis and Strength Prediction of Mechanically Fastened Joints in FRP: A Review
,”
Composites Part A
, Vol.
28A
,
1997
, pp. 529–547.
41.
Matthews
,
F. L.
,
Wong
,
C.-M.
, and
Chryssafitis
,
S.
, “
Stress Distribution Around a Single Bolt in Fiber-re-inforced Plastic
,”
Composites
, Vol.
13
,
1986
, pp. 316–322.
42.
Chen
,
W.-H.
,
Lee
,
S.-S.
, and
Yeh
,
J.-T.
, “
Three-dimensional Contact Stress Analysis of a Composite Laminate with Bolted Joint
,”
Composites Structures
, Vol.
30
,
1995
, pp. 287–297.
43.
Marshall
,
I. H.
,
Arnold
,
W. S.
, and
Wood
,
J.
, “
Observations on Bolted Connections in Composite Structures
,”
Composites
, Vol.
13
,
1989
, pp. 133–151.
44.
Hyer
,
M. W.
and
Klang
,
E. C.
, “
Contact Stresses in Pinloaded Orthotropic Plates
,”
International Journal of Solids and Structures
 0020-7683, Vol.
21
,
1985
, pp. 957–975.
45.
Hyer
,
M. W.
,
Klang
,
E. C.
, and
Cooper
,
D. E.
, “
The Effects of Pin Elasticity, Clearance and Friction on the Stresses in a Pin-loaded Orthotropic Plate
,”
Journal of Composite Materials
, Vol.
21
,
1987
, pp. 190–206.
46.
Barboni
,
R.
,
Gandenzi
,
P.
, and
Carlini
,
S.
, “
A Three-dimensional Analysis of Edge Effects in Composite Laminates with Circular Holes
,”
Composite Structures
 0045-7949, Vol.
15
,
1990
, pp. 115–136.
47.
Iarve
,
E.
, “
Stress Analysis in Laminated Composites with Fastener Holes
,”
Proceedings of the American Society for Composites 10th Technical Conference
,
Technomic Publishing Co.
,
Lancaster, PA
,
1995
, pp. 408–419.
48.
Iarve
,
E.
, “
Three-dimensional Stress Analysis in Laminated Composites with Fasteners Based on the B-spline Approximation
,”
Composites Part A
, Vol.
28A
,
1997
, pp. 559–571.
49.
Hassen
,
N. K.
,
Mohamedien
,
M. A.
, and
Rizkalla
,
S. H.
, “
Finite Element Analysis of Bolted Connections for PFRP Composites
,”
Composites Part B
, Vol.
27B
,
1996
, pp. 339–349.
50.
Lessard
,
L. B.
, “
Compression Failure in Laminated Composites Containing an Open Hole
,” Ph.D. dissertation,
Stanford University
,
1989
.
51.
Tan
,
S. C.
and
Perez
,
J.
, “
Progressive Failure of Laminated Composites with a Hole Under Compressive Loading
,”
Journal of Reinforced Plastics and Composites
, Vol.
12
,
1993
, pp. 1043–1057.
52.
Hashin
,
Z.
, “
Analysis of Orthogonally Cracked Laminates Under Tension
,”
Journal of Applied Mechanics
 0021-8936, Vol.
54
,
1987
, pp. 872–879.
53.
Nuismer
,
R. J.
and
Tan
,
S. C.
, “
Constitutive Relations of a Cracked Composite Lamina
,”
Journal of Composite Materials
, Vol.
22
,
1988
, pp. 306–321.
54.
Tan
,
S. C.
and
Nuismer
,
R. J.
, “
A Theory for Progressive Matrix Cracking in Composite Laminates
,”
Journal of Composite Materials
, Vol.
23
,
1989
, pp. 1029–1047.
55.
Sun
,
C. T.
and
Jen
,
K. C.
, “
On the Effect of Matrix Cracks on Laminate Strength
,”
Journal of Reinforced Plastics and Composites
, Vol.
6
,
1987
, pp. 208–222.
56.
Tsai
,
C. L.
and
Daniel
,
I. M.
, “
The Behavior of Cracked Cross-ply Composite Laminates Under Simple Shear Loading
,”
Composite Engineering
, Vol.
1
, No.
1
,
1991
, pp. 3–11.
57.
Shahid
,
I.
and
Chang
,
F.-K.
, “
Modeling of Progressive Failure of Cross-ply Composites Subjected to Combined In-Plane Loads
,”
American Society of Composites Technical Conference
,
11
1992
.
58.
Shahid
,
I.
, “
Failure and Response of Laminated Composites Subjected to In-Plane Loads
,” Ph.D. dissertation,
Stanford University
,
1993
.
59.
Hung
,
C.-L.
, “
Composite Joints Subjected to Bypass Loads
,” Ph.D. dissertation,
Stanford University
,
1993
.
60.
Hahn
,
H. T.
, “
Nonlinear Behavior of Laminated Composites
,”
Journal of Composite Materials
, Vol.
7
,
1973
, pp. 257–271.
61.
Serabian
,
S. M.
, “
The Effects of Nonlinear Intralaminar Shear Behavior on The Modeling Accuracy of [(0/90),0]s and [±45]3s Pin-loaded Laminates
,”
Journal of Composite Technology & Research
 0884-6804, Vol.
13
, No.
4
, Winter
1991
, pp. 236–248.
62.
Mallick
,
P. K.
,
Fiber reinforced Composites
,
Marcel Dekker
,
New York
,
1988
, pp. 3–4.
63.
Crews
,
J. H.
, Jr.
and
Naik
,
R. A.
, “
Failure Analysis of a Graphite/Epoxy Laminate Subjected to Bolt-Bearing Loads
,”
Composite Materials: Fatigue and Fracture
, ASTM STP 907,
Hahn
H. T.
, Ed.,
American Society for Testing and Materials
,
Philadelphia, PA
,
1986
, pp. 131–144.
64.
Jurf
,
R. A.
and
Vinson
,
J. R.
, “
Failure Analysis of Bolted Joints in Composite Laminates
,”
Composite Materials: Testing and Design (Ninth Volume)
, ASTM STP 1059,
Garbo
S. P.
, Ed.,
American Society for Testing and Materials
,
Philadelphia, PA
,
1990
, pp. 165–190.
65.
Eriksson
,
I.
, “
On the Bearing Strength of Bolted Graphite/Epoxy Laminates
,”
Journal of Composite Materials
, Vol.
24
,
1990
, pp. 1246–1270.
66.
Serabian
,
S. M.
and
Oplinger
,
D. W.
, “
An Experimental and Finite Element Investigation into the Mechanical Response of 0/90 Pin-Loaded Laminates
,”
Journal of Composite Materials
, Vol.
21
,
1987
, pp. 631–649.
67.
Bathe
,
K. J.
,
Finite Element Procedures in Engineering Analysis
,
Prentice-Hall, Inc.
,
NJ
,
1982
.
68.
Suh
,
J.-K.
,
Spilker
,
R. L.
, and
Holmes
,
M. H.
, “
A Penalty Finite Element Analysis for Nonlinear Mechanics of Biphasic Hydrated Soft Tissue Under Large Deformation
,”
International Journal for Numerical Methods in Engineering
 0029-5981, Vol.
32
,
1991
, pp. 1411–1439.
69.
Zienkiewicz
,
O. C.
,
The Finite Element Method
, 4th ed.,
McGraw-Hill
,
1989
.
70.
Hibbit, Karlsson & Sorensen Inc.
,
Writing UMATs and Vumats, Volume II
,
Hibbit, Karlsson & Sorensen Inc.
,
Pawtucket, RI
,
1995
.
71.
Hibbit, Karlsson & Sorensen Inc.
,
ABAQUS/Standard Theory Manual
,
Hibbit, Karlsson & Sorensen Inc.
,
Pawtucket, RI
,
1995
.
72.
Sun
,
H. T.
, “
Analysis of Composite-to-Metal Double-Lap Bolted Joints
,” Ph.D. dissertation,
Stanford University
,
1997
.
73.
Chang
,
F.-K.
,
Qing
,
X.
,
Sun
,
H.-T.
, and
Yan
,
Y.
, “
Damage Tolerance-Based Design of Bolted Composite Joints
,” Final Report to the Boeing Commercial Airplane Groups and the Federal Aviation Administration, Aeronautics and Astronautics Department,
Stanford University
,
1999
.
74.
Stouffer
,
D. C.
and
Dame
,
L.-T.
,
Inelastic Deformation of Metals, Models, Mechanical Properties and Metallurgy
,
Wiley & Sons, Inc.
,
1996
.
75.
Yan
,
Y.
,
Wen
,
W.-D.
,
Chang
,
F.-K.
, and
Shyprykevich
,
P.
, “
Experimental Study on Clamping Effects on the Tensile Strength of Composite Plats with a Bolt-Filled Hole
,”
Composite: Part A
, Vol.
30
,
1999
, pp. 1215–1229.
This content is only available via PDF.
You do not currently have access to this chapter.
Close Modal

or Create an Account

Close Modal
Close Modal