In this work, an analytical model based on continuum mixture theories is developed to study the biaxial interfacial shear stresses in adhesive-bonded joints due to thermomechanical loading. The model predicts the effect of adhesive thickness and properties on the interfacial shear stresses. Two sets of governing partial differential equations are solved for the displacement field in each layer of the joint. The interfacial shear stresses between the adhesive and each adherend are determined using the constitutive equations. Numerical results show that both the adhesive thickness and the material properties have a significant effect on the thermomechanically induced interfacial shear stresses between the adherends and the adhesive. The proposed model inherently has the capacity for optimizing the selection of the adhesive thickness and material properties that would yield a more reliable bonded joint.
Issue Section:
Research Papers
1.
Owen
, M. J.
and Dukes
, R.
, 1967, “Failure of Glass Reinforced Plastics Under Single and Repeated Loading
,” J. Strain Anal. Eng. Des.
0309-3247, 2
(4
), pp. 272
–279
.2.
Adams
, R. D.
, 2005, Adhesive Bonding Science, Technology and Applications
, Woodhead
, Cambridge, England
.3.
Ma
, W.
, Gomatam
, R.
, Fong
, R. D.
, and Sancaktar
, E.
, 2001, “A Novel Mathematical Procedure to Evaluate the Effect of Surface Topography on the Interfacial State of Stress: Part I: Verification of the Method for Flat Surfaces
,” J. Adhes. Sci. Technol.
, 15
(13
), pp. 1533
–1558
. 0169-42434.
Kweon
, J. -H.
, Jung
, J. -W.
, Kim
, T. -H.
, Choi
, J. -H.
, and Kim
, D. -H.
, 2006, “Failure of Carbon Composite-to-Aluminum Joints With Combined Mechanical Fastening and Adhesive Bonding
,” Compos. Struct.
, 75
, pp. 192
–198
. 0263-82235.
Ficarra
, C. H.
, 2001, “Analysis of Adhesive Bonded Fiber-Reinforced Composite Joints
,” MS thesis, North Carolina State University, Raleigh.6.
Hart-Smith
, L. J.
, 1999, “A Peel-Type Durability Test Coupon to Assess Interface in Bonded, Co-Bonded, and Co-Cured Composite Structures
,” Int. J. Adhes. Adhes.
0143-7496, 19
, pp. 181
–191
.7.
Baldan
, A.
, 2004, “Adhesively-Bonded Joints and Repairs in Metallic Alloys, Polymers and Composite Materials: Adhesives, Adhesion Theories and Surface Pretreatment
,” J. Mater. Sci.
0022-2461, 39
, pp. 1
–49
.8.
Baldan
, A.
, 2004, “Review—Adhesively-Bonded Joints in Metallic Alloys, Polymers and Composite Materials: Mechanical and Environmental Durability Performance
,” J. Mater. Sci.
0022-2461, 39
, pp. 4729
–4797
.9.
Timoshenko
, S. P.
, 1925, “Analysis of Bi-Metal Thermostats
,” J. Opt. Soc. Am.
0030-3941, 11
, pp. 233
–255
.10.
Chen
, W. T.
, and Nelson
, C. W.
, 1979, “Thermal Stress in Bolted Joints
,” IBM J. Res. Dev.
, 23
, pp. 178
–188
. 0018-864611.
Suhir
, E.
, 1986, “Stress in Bi-Metal Thermostats
,” ASME J. Appl. Mech.
, 53
, pp. 657
–660
. 0021-893612.
Pao
, Y. H.
, and Eisel
, E.
, 1991, “Interfacial Shear and Peel Stresses in Multi-Layered Thin Stacks Subjected to Uniform Thermal Loading
,” ASME J. Electron. Packag.
1043-7398, 113
, pp. 164
–172
.13.
Suhir
, E.
, 1989, “Interfacial Stresses in Bimetal Thermostats
,” ASME J. Appl. Mech.
0021-8936, 56
, pp. 595
–600
.14.
Shen
, H. -S.
, Teng
, J. G.
, and Yang
, J.
, 2001, “Interfacial Stresses in Beams and Slabs Bonded With Thin Plate
,” J. Eng. Mech.
0733-9399, 127
(4
), pp. 399
–406
.15.
Nayfeh
, A. H.
, 1977, “Thermo-Mechanically Induced Interfacial Stresses in Fibrous Composites
,” Fibre Sci. Technol.
0015-0568, 10
, pp. 195
–209
.16.
Nayfeh
, A. H.
, and Nassar
, E. A.
, 1982, “The Influence of Bonding Agents on the Thermo-Mechanically Induced Interfacial Stresses in Laminated Composites
,” Fibre Sci. Technol.
0015-0568, 16
, pp. 157
–174
.17.
Nayfeh
A. H.
, 1978, “Dynamically Induced Interfacial Stresses in Fibrous Composites
,” ASME J. Appl. Mech.
0021-8936, 45
, pp. 442
–445
.18.
Nayfeh
, A. H.
, and Nassar
, E. A.
, 1978, “Simulation of Influence of Bonding Materials on the Dynamic Behavior of Laminated Composites
,” ASME J. Appl. Mech.
0021-8936, 45
, pp. 822
–828
.19.
Hegemier
, G. A.
, Gurtman
, G. A.
, and Nayfeh
, A. H. A
, 1973, “Continuum Theory for Wave Propagation in Laminated and Fibrous Composites
,” Int. J. Solids Struct.
0020-7683,9
, pp. 395
–414
.20.
Lau
, J. H.
, 1989, “A Note on the Calculation of Thermal Stresses in Electronic Packaging by Finite Element Methods
,” ASME J. Electron. Packag.
1043-7398, 111
, pp. 313
–320
.21.
Suhir
, E.
, 1994, “Approximate Evaluation of the Elastic Thermal Stresses in a Film Fabricated on a Very Thick Circular Substrate
,” ASME J. Electron. Packag.
1043-7398, 116
, pp. 171
–176
.22.
Yang
, Q. S.
, Peng
, X. R.
, and Kwan
, A. K. H.
, 2004, “Finite Element Analysis of Interfacial Stresses in FRP-RC Hybrid Beams
,” Mech. Res. Commun.
0093-6413, 31
, pp. 331
–340
.23.
Seo
, D. W.
, Yoon
, H. C.
, Jeon
, Y. B.
, Kim
, H. J.
, and Lim
, J. K.
, 2004, “Effect of Overlap Length and Adhesive Thickness on Stress Distribution in Adhesive Bonded Single-Lap Joints
,” Key Eng. Mater.
1013-9826, 273
, pp. 64
–69
.24.
Pao
, Y. -H.
, and Eisele
, E.
, 1991, “Interfacial Shear and Peel Stresses in Multilayered Thin Stacks Subjected to Uniform Thermal Loading
,” ASME J. Electron. Packag.
1043-7398, 113
, pp. 164
–172
.25.
Ru
, C. Q.
, 2002, “Interfacial Thermal Stresses in Biomaterial Elastic Beams: Modified Beam Models Revisited
,” ASME J. Electron. Packag.
1043-7398, 124
, pp. 141
–146
.26.
Kim
, H
., and Kedward
, K
., 2001, “Stress Analysis of In-Plane, Shear-Loaded, Adhesively Bonded Composite Joints and Assemblies
,” National Technical Information Service (NTIS), Springfield, VA, Apr.27.
Yang
, C.
, Huang
, H.
, Tomblin
, J. S.
, and Sun
, W.
, 2004, “Elastic-Plastic Model of Adhesive-Bonded Single-Lap Composite Joints
,” J. Compos. Mater.
0021-9983, 38
(4
), pp. 293
–309
.28.
Rossettos
, J. N.
, 2003, “Thermal Peel, Warpage and Interfacial Shear Stresses in Adhesive Joints
,” J. Adhes. Sci. Technol.
, 17
, pp. 115
–128
. 0169-424329.
Mathias
, J. D.
, Grediac
, M.
, and Balandraud
, X.
, 2006, “On the Bidirectional Stress Distribution in Rectangular Bonded Composite Patches
,” Int. J. Solids Struct.
, 43
, pp. 6921
–6947
. 0020-768330.
Adams
, R. D.
, and Peppiatt
, N. A.
, 1973, “Effect of Poisson’s Ration Strains in Adherends on Stresses of an Idealized Lap Joint
,” J. Strain Anal.
0022-4758, 8
, pp. 134
–139
.31.
Baker
, A. A.
, Rose
, L. R. F.
, and Jones
, R.
, 2002, Advances in the Bonded Composite Repair of Metallic Aircraft Structures
, Elsevier
, New York
.32.
Ma
, W.
, Gomatam
, R.
, and Sancaktar
, E.
, 2003, “A Novel Mathematical Procedure to Evaluate the Effect of Surface Topography on the Interfacial State of Stress Part II: Verification of the Method for Scarf Interfaces
,” J. Adhes. Sci. Technol.
, 17
(6
), pp. 831
–846
. 0169-424333.
Li
, G.
, Lee-Sullivan
, P.
, and Thring
, R. W.
, 1999, “Nonlinear Finite Element Analysis of Stress and Strain Distributions Across the Adhesive Thickness in Composite Single-Lap Joints
,” Compos. Struct.
0263-8223, 46
, pp. 395
–403
.34.
Sawa
, T.
, Higuchi
, I.
, and Suga
, H.
, 2003, “Three-Dimensional Finite Element Stress Analysis of Single-Lap Adhesive Joints of Dissimilar Adherends Subjected to Impact Tensile Loads
,” J. Adhes. Sci. Technol.
, 17
(16
), pp. 2157
–2174
. 0169-424335.
Goncalves
, J. P. M.
, de Moura
, M. F. S. F.
, and de Castro
, P. M. S. T.
, 2002, “A Three-Dimensional Finite Element Model for Stress Analysis of Adhesive Joints
,” Int. J. Adhes. Adhes.
0143-7496, 22
, pp. 357
–365
.36.
2004, ABAQUS User’s Manual, Version 6.5.
Copyright © 2009
by American Society of Mechanical Engineers
You do not currently have access to this content.
