In this study, the Fickian diffusion formulation is extended to the adhesive layer of a single lap joint (SLJ) model, in order to develop a coupled peel and shear stress-diffusion model. Constitutive equations are formulated for shear and peel stresses in terms of adhesive material properties that are time- and location-dependent. Numerical solution is provided for the effect of diffusion on shear and peel stresses distribution. Detailed discussion of the results is presented.

References

References
1.
Brockmann
,
W.
,
Geiß
,
P. L.
,
Klingen
,
J.
,
Schröder
,
B.
, and
Mikhail
,
B.
,
2009
,
Adhesive Bonding
,
Wiley-VCH
,
Weinheim, Germany
.
2.
FAA,
2012
,
Aviation Maintenance Technician Handbook—Airframe
,
United States Department of Transportation, Federal Aviation Administration
,
Oklahoma City, OK
, pp.
13
22
.
3.
Volkersen
,
O.
,
1938
, “
Die Nietkraftverteilung in zugbeanspruchten Nietverbindungen mit konstanten Laschenquerschnitten
,”
Luftfahrtforschung
,
15
(
1/2
), pp.
41
47
.
4.
Goland
,
M.
, and
Reissner
,
E.
,
1944
, “
The Stresses in Cemented Joints
,”
ASME J. Appl. Mech.
,
11
(
1
), pp.
A17
A27
.
5.
Hart-Smith
,
L. J.
,
1973
, “
Adhesive-Bonded Single-Lap Joints
,” Douglas Aircraft Co., Inc., Long Beach, CA, Technical Report No.
NASA-CR-112236
.https://ntrs.nasa.gov/search.jsp?R=19740005083
6.
Tong
,
L.
,
1996
, “
Bond Strength for Adhesive-Bonded Single-Lap Joints
,”
Acta Mech.
,
117
(
1–4
), pp.
101
113
.
7.
Allman
,
D.
,
1977
, “
A Theory for Elastic Stresses in Adhesive Bonded Lap Joints
,”
Q. J. Mech. Appl. Math.
,
30
(
4
), pp.
415
436
.
8.
Renton
,
W. J.
, and
Vinson
,
J. R.
,
1975
, “
The Efficient Design of Adhesive Bonded Joints
,”
J. Adhes.
,
7
(
3
), pp.
175
193
.
9.
Srinivas
,
S.
,
1975
, “
Analysis of Bonded Joints
,” Langley Research Center, Hampton, VA, Technical Report No.
NASA TN D-7855
.https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19750013601.pdf
10.
Chen
,
D.
, and
Cheng
,
S.
,
1983
, “
An Analysis of Adhesive-Bonded Single-Lap Joints
,”
ASME J. Appl. Mech.
,
50
(
1
), pp.
109
115
.
11.
Bigwood
,
D.
, and
Crocombe
,
A.
,
1989
, “
Elastic Analysis and Engineering Design Formulae for Bonded Joints
,”
Int. J. Adhes. Adhes.
,
9
(
4
), pp.
229
242
.
12.
Bigwood
,
D.
, and
Crocombe
,
A.
,
1990
, “
Non-Linear Adhesive Bonded Joint Design Analyses
,”
Int. J. Adhes. Adhes.
,
10
(
1
), pp.
31
41
.
13.
Sawa
,
T.
,
Nakano
,
K.
, and
Toratani
,
H.
,
1997
, “
A Two-Dimensional Stress Analysis of Single-Lap Adhesive Joints Subjected to Tensile Loads
,”
J. Adhes. Sci. Technol.
,
11
(
8
), pp.
1039
1056
.
14.
Sawa
,
T.
,
Liu
,
J.
,
Nakano
,
K.
, and
Tanaka
,
J.
,
2000
, “
A Two-Dimensional Stress Analysis of Single-Lap Adhesive Joints of Dissimilar Adherends Subjected to Tensile Loads
,”
J. Adhes. Sci. Technol.
,
14
(
1
), pp.
43
66
.
15.
Oplinger
,
D.
,
1994
, “
Effects of Adherend Deflections in Single Lap Joints
,”
Int. J. Solids Struct.
,
31
(
18
), pp.
2565
2587
.
16.
Tsai
,
M.
,
Oplinger
,
D.
, and
Morton
,
J.
,
1998
, “
Improved Theoretical Solutions for Adhesive Lap Joints
,”
Int. J. Solids Struct.
,
35
(
12
), pp.
1163
1185
.
17.
da Silva
,
L. F. M.
, and
Öchsner
,
A.
,
2008
,
Modeling of Adhesively Bonded Joints
,
Springer
,
Berlin
.
18.
da Silva
,
L. F.
,
das Neves
,
P. J.
,
Adams
,
R.
, and
Spelt
,
J.
,
2009
, “
Analytical Models of Adhesively Bonded Joints—Part I: Literature Survey
,”
Int. J. Adhes. Adhes.
,
29
(
3
), pp.
319
330
.
19.
da Silva
,
L. F.
,
das Neves
,
P. J.
,
Adams
,
R.
,
Wang
,
A.
, and
Spelt
,
J.
,
2009
, “
Analytical Models of Adhesively Bonded Joints—Part II: Comparative Study
,”
Int. J. Adhes. Adhes.
,
29
(
3
), pp.
331
341
.
20.
Nassar
,
S. A.
, and
Sakai
,
K.
,
2015
, “
Effect of Cyclic Heat, Humidity, and Joining Method on the Static and Dynamic Performance of Lightweight Multimaterial Single-Lap Joints
,”
ASME J. Manuf. Sci. Eng.
,
137
(
5
), p.
051026
.
21.
Nassar
,
S. A.
,
Wu
,
Z.
,
Moustafa
,
K.
, and
Tzelepis
,
D.
,
2015
, “
Effect of Adhesive Nanoparticle Enrichment on Static Load Transfer Capacity and Failure Mode of Bonded Steel–Magnesium Single Lap Joints
,”
ASME J. Manuf. Sci. Eng.
,
137
(
5
), p.
051024
.
22.
Nassar
,
S. A.
, and
Mazhari
,
E.
,
2016
, “
A Coupled Shear Stress-Diffusion Model for Adhesively Bonded Single Lap joints
,”
ASME J. Appl. Mech.
,
83
(
10
), p.
101006
.
23.
Crank
,
J.
,
1979
,
The Mathematics of Diffusion
,
Oxford University Press
,
London
.
24.
Timoshenko
,
S. P.
, and
Woinowsky-Krieger
,
S.
,
1959
,
Theory of Plates and Shells
,
McGraw-Hill
,
New York
.
25.
Wahab
,
M. A.
,
Crocombe
,
A.
,
Beevers
,
A.
, and
Ebtehaj
,
K.
,
2002
, “
Coupled Stress-Diffusion Analysis for Durability Study in Adhesively Bonded Joints
,”
Int. J. Adhes. Adhes.
,
22
(
1
), pp.
61
73
.
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