Abstract
The finite element method is particularly suited to analyse complex joint geometries. Adhesively bonded joints are increasingly being used in engineering applications where the loading mode, the adherends shape and the material behaviour are extremely difficult to simulate with a closed form approach. A detailed description of finite element studies concerning non-conventional adhesive joints is presented in this chapter. Various types of joints, local geometrical features such as the spew fillet and adherend rounding, three dimensional analyses, hybrid joints and repair techniques are discussed. Special techniques to save computer power are also treated. It is shown that the finite element method offers unlimited possibilities for stress analysis but also presents some numerical problems at sharp edges.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Actis RL, Szabó BA (2003) Analysis of bonded and fastened repairs by the p-version of the finite-element method. Comput Math Appl 46: 1–14
Adams RD, Atkins RW, Harris JA, Kinloch AJ (1986) Stress analysis and failure properties of carbon-fibre-reinforced-plastic/steel double-lap joints. J Adhes 20: 29–53
Adams RD, Chambers SH, Del Strother PJA, Peppiatt NA (1973) Rubber model for adhesive lap joints. J Strain Anal 8: 52–57
Adams RD, Davies R (1996) Strength of joints involving composites. J Adhes 59: 171–182
Adams RD, Davies R (2002) Strength of lap shear joints. In: The mechanics of adhesion (Dillard DA and Pocius AV, ed.). Amsterdam: Elsevier, pp. 111–144.
Adams RD, Harris JA (1987) The influence of local geometry on the strength of adhesive joints. Int J Adhes Adhes 7: 69–80
Adams RD, Peppiatt NA (1974) Stress analysis of adhesive-bonded lap joints. J Strain Anal 9: 185–196
Al–Samhann A, Darwish SMH (2003) Strength prediction of weld-bonded joints. Int J Adhes Adhes 23: 23–28
Amijima S, Fujii T (1989) A simple stress analysis method for adhesive bonded tapered joints. Int J Adhes Adhes 9: 155–160
Andreassi L, Baudille R, Biancolini ME (2007) Spew formation in a single lap joint. Int J Adhes Adhes 27: 458–468
Apalak MK (1999) Geometrically non-linear analysis of adhesively bonded corner joints. J Adhes Sci Technol 13: 1253–1285
Apalak MK (2000) Geometrically non-linear analysis of an adhesively bonded modified double containment corner joint — I. J Adhes Sci Technol 14: 1159–1177
Apalak MK (2002) On the non-linear elastic stresses in an adhesively bonded T-joint with double support. J Adhes Sci Technol 16: 459–491
Apalak MK, Apalak Z, Gunes R (2003) Thermal non-linear elastic stress analysis of an adhesively bonded T-joint. J Adhes Sci Technol 17: 995–1016
Apalak MK, Davies R (1993) Analysis and design of adhesively bonded comer joints. Int J Adhes Adhes 13: 219–235
Apalak MK, Davies R (1994) Analysis and design of adhesively bonded corner joints: fillet effect. Int J Adhes Adhes 14: 163–174
Apalak MK, Engin A (2004) Effect of adhesive free-end geometry on the initiation and propagation of damaged zones in adhesively bonded lap joints. J Adhes Sci Technol 18: 529–559
Apalak MK, Gunes R (2007) Elastic flexural behaviour of an adhesively bonded single lap joint with functionally graded adherends. Mater Des 28: 1597–1617
Ávila AF, Bueno PO (2004) Stress analysis on a wavy-lap bonded joint for composites. Int J Adhes Adhes 24: 407–414
Bahei–El–Din YA, Dvorak GJ (2001) New designs of adhesive joints for thick composite laminates. Compos Sci Technol 61: 19–40
Belingardi G, Goglio L, Rossetto M (2002) Impact behaviour of bonded built-up beams: experimental results. Int J Adhes Adhes 25: 173–180
Blackman BRK, Hadavinia H, Kinloch AJ, Paraschi M, Williams JG (2003) The calculation of adhesive fracture energies in mode I: revisiting the tapered double cantilever beam (TDCB) test. Eng Fract Mech 70: 233–248
Bogdanovich AE, Kizhakkethara I (1999) Three-dimensional finite element analysis of double-lap composite adhesive bonded joint using submodeling approach. Compos Part B-Eng 30: 537–551
Bouiadjra BB, Fekirini H, Belhouari M, Boutabout B, Serier B (2007) Fracture energy for repaired cracks with bonded composite patch having two adhesive bands in aircraft structures. Comp Mater Sci 40: 20–26
Campilho RDSG, de Moura MFSF, Domingues JJMS (2007) Stress and failure analyses of scarf repaired CFRP laminates using a cohesive damage model. J Adhes Sci Technol 21: 855–870
Chan WS, Vedhagiri S (2001) Analysis of composite bonded/bolted joints used in repairing. J Compos Mater 35: 1045–1061
Chen Z (1985) The failure and fracture analysis of adhesive bonds, PhD thesis, Department of Mechanical Engineering, University of Bristol, UK
Cherry BW, Harrison NL (1970) The optimum profile for a lap joint. J Adhes 2: 125–128
Crocombe AD, Adams RD (1981) Influence of the spew fillet and other parameters on the stress distribution in the single lap joint. J Adhes 13: 141–155
da Silva LFM, Adams RD (2002) The strength of adhesively bonded T-joints. Int J Adhes Adhes 22: 311–315
da Silva LFM, Adams RD (2007a) Techniques to reduce the peel stresses in adhesive joints with composites. Int J Adhes Adhes 27: 227–235
da Silva LFM, Adams RD (2007b) Joint strength predictions for adhesive joints to be used over a wide temperature range. Int J Adhes Adhes 27: 362–379
da Silva LFM, Adams RD (2007c) Adhesive joints at high and low temperatures using similar and dissimilar adherends and dual adhesives. Int J Adhes Adhes 27: 216–226
Darwish SM (2004) Analysis of weld-bonded dissimilar materials. Int J Adhes Adhes 24: 347–354
Darwish SM, Al–Samhann A (2004) Design rationale of weld-bonded joints. Int J Adhes Adhes 24: 367–377
de Moura MFSF, Daniaud R, Magalhães AG (2006) Simulation of mechanical behaviour of composite bonded joints containing strip defects. Int J Adhes Adhes 26: 464–473
Deng J, Lee MMK (2007) Effect of plate end and adhesive spew geometries on stresses in retrofitted beams bonded with a CFRP plate. Compos Part B-Eng, doi:10.1016/j.compositesb.2007.05.004 <http://dx.doi.org/10.1016/j.compositesb.2007.05.004>
Dorn L, Liu W (1993) The stress state and failure properties of adhesive-bonded plastic/metal joints. Int J Adhes Adhes 13: 21–31
Du J, Lindeman DD, Yarusso DJ (2004) Modeling the peel performance of pressure-sensitive adhesives. J Adhes 80: 601–612
Dvorak GJ, Zhang J, Canyurt O (2001) Adhesive tongue-and-groove joints for thick composite laminates. Compos Sci Technol 61: 1123–1142
Feih S, Shercliff HR (2005) Adhesive and composite failure prediction of single-L joint structures under tensile loading. Int J Adhes Adhes 25: 47–59
Fessel G, Broughton JG, Fellows NA, Durodola JF, Hutchinson AR (2007) Evaluation of different lap-shear joint geometries for automotive applications. Int J Adhes Adhes 27: 574–583
Fitton MD, Broughton JG (2005) Variable modulus adhesives: an approach to optimized joint performance. Int J Adhes Adhes 25: 329–336
Gannesh VK, Choo TS (2002) Modulus graded composite adherends for single-lap bonded joints. J Compos Mater 36: 1757–1767
Goland M, Reissner E (1944) The stresses in cemented joints. J Appl Mech 66: A17–A27
Grassi M, Cox B, Zhang X (2006) Simulation of pin-reinforced single-lap composite joints. Compos Sci Technol 66: 1623–1638
Groth HL (1988) Stress singularities and fracture at interface corners in bonded joints. Int J Adhes Adhes 8: 107–113
Groth HL, Nordlund P (1991) Shape optimization of bonded joints. Int J Adhes Adhes 11: 204–212
Guild FJ, Potter KD, Heinrich J, Adams RD, Wisnom MR (2001) Understanding and control of adhesive crack propagation in bonded joints between carbon fibre composite adherends II. Finite element analysis. Int J Adhes Adhes 21: 435–443
Gunnion AJ, Herszberg I (2006) Parametric study of scarf joints in composite structures. Compos Struct 75: 364–376
Harris JA, Adams RD (1984) Strength prediction of bonded single lap joints by non-linear finite element methods. Int J Adhes Adhes 4: 65–78.
Hart–Smith LJ (1973) Adhesive bonded double lap joints. NASA CR–112235
Hildebrand M (1994) Non-linear analysis and optimization of adhesively bonded single lap joints between fibre-reinforced plastics and metals. Int J Adhes Adhes 14: 261–267
Kaye R, Heller M (2005) Through-thickness shape optimisation of typical double lap-joints including effects of differential thermal contraction during curing. Int J Adhes Adhes 25: 227–238
Kaye RH, Heller M (2002) Through-thickness shape optimisation of bonded repairs and lap-joints. Int J Adhes Adhes 22: 7–21
Kilic B, Madenci E, Ambur DR (2006) Influence of adhesive spew in bonded single-lap joints. Eng Fract Mech 73: 1472–1490
Kim H (2003) The influence of adhesive bondline thickness imperfections on stresses in composite joints. J Adhes 79: 621–642
Kim JK, Lee DG (2001) Thermal characteristics of tubular single lap adhesive joints under axial loads. J Adhes Sci Technol 15: 1511–1528
Kim JK, Lee DG (2004) Effects of applied pressure and temperature during curing operation on the strength of tubular single-lap adhesive joints. J Adhes Sci Technol 18: 87–107
Kim KS, Kim WT, Lee DG, Jun EJ (1992) Optimal tubular adhesive-bonded lap joint of the carbon fiber epoxy composite shaft. Compos Struct 21: 163–176
Kim YG, Oh JH, Lee DG (1999) Strength of adhesively-bonded tubular single lap carbon/epoxy composite-steel joints. J Compos Mater 33: 1897–1917
Kwon JW, Lee DG (2000) The effects of surface roughness and bond thickness on the fatigue life of adhesively bonded tubular single lap joints. J Adhes Sci Technol 14: 1085–1102
Lang TP, Mallick PK (1998) Effect of spew geometry on stresses in single lap adhesive joints. Int J Adhes Adhes 18: 167–177
Lang TP, Mallick PK (1999) The e!ect of recessing on the stresses in adhesively bonded single-lap joints. Int J Adhes Adhes 19: 257–271
Liljedahl CDM, Crocombe AD, Wahab MA, Ashcroft IA (2007) Modelling the environmental degradation of adhesively bonded aluminium and composite joints using a CZM approach. Int J Adhes Adhes 27: 505–518
Lin W–H, Jen M–HR (1999) The strength of bolted and bonded single-lapped composite joints in tension. J Compos Mater 33: 640–666
Liu J, Liu J, Sawa T (2004) Strength and failure of bulky adhesive joints with adhesively-bonded columns. J Adhes Sci Technol 18: 1613–1623
Liu J, Sawa T (2001) Stress analysis and strength evaluation of single-lap adhesive joints combined with rivets under external bending moments. J Adhes Sci Technol 15: 43–61
Liu J, Sawa T (2003) Strength and finite element analyses of single-lap joints with adhesively-bonded columns. J Adhes Sci Technol 17: 1773–1784
Marcadon V, Nadot Y, Roy A, Gacougnolle JL (2006) Fatigue behaviour of T-joints for marine applications. Int J Adhes Adhes 26: 481–489
Nakagawa F, Sawa T (2001) Photoelastic thermal stress measurements in scarf adhesive joints under uniform temperature changes. J Adhes Sci Technol 15: 119–135
Nakagawa F, Sawa T, Nakano Y, Katsuo M (1999) Two-dimensional finite element thermal stress analysis of adhesive butt joints containing some hole defects. J Adhes Sci Technol 13: 309–323
Odi RA, Friend CM (2002) A comparative study of finite element models for the bonded repair of composite structures. J Reinf Plast Comp 21: 311–332
Odi RA, Friend CM (2004) An improved 2D model for bonded composite joints. Int J Adhes Adhes 24: 389–405
Oh JH (2007) Strength prediction of tubular composite adhesive joints under torsion. Compos Sci Technol 67: 1340–1347
Okafor AC, Singh N, Enemuoh UE, Rao SV (2005) Design, analysis and performance of adhesively bonded composite patch repair of cracked aluminum aircraft panels. Compos Struct 71: 258–270
Olia M, Rossettos JN (1996) Analysis of adhesively bonded joints with gaps subjected to bending. Int J Solids Struct 33: 2681–2693
Patrick RL (ed.) (1976) Treatise on adhesion and adhesives – Structural adhesives with emphasis on aerospace applications, Vol. 4. Marcel Dekker, Inc., New York
Peppiatt NA (1974) Stress analysis of adhesiv joints, PhD thesis, Department of Mechanical Engineering, University of Bristol, UK
Pires I, Quintino L, Durodola JF, Beevers A (2003) Performance of bi-adhesive bonded aluminium lap joints. Int J Adhes Adhes 23: 215–223
Renton WJ, Vinson JR (1975) The efficient design of adhesive bonded joints. J Adhes 7: 175–193
Richardson G, Crocombe AD, Smith PA (1993) Comparison of two- and three-dimensional finite element analyses of adhesive joints. Int J Adhes Adhes 13: 193–200
Rispler AR, Tong L, Steven GP, Wisnom MR (2000) Shape optimisation of adhesive fillets. Int J Adhes Adhes 20: 221–231
Sabelkin V, Mall S, Hansen MA, Vandawaker RM, Derriso M (2007) Investigation into cracked aluminum plate repaired with bonded composite patch. Compos Struct 79: 55–66
Sancaktar E, Kumar S (2000) Selective use of rubber toughening to optimize lap-joint strength. J Adhes Sci Technol 14: 1265–1296
Sancaktar E, Nirantar P (2003) Increasing strength of single lap joints of metal adherends by taper minimization. J Adhes Sci Technol 17: 655–675
Sancaktar E, Simmons SR (2000) Optimization of adhesively-bonded single lap joints by adherend notching. J Adhes Sci Technol 14: 1363–1404
Schiermeier JE, Kansakar R, Mong D, Ransom JB, Aminpour MA, Stroud WJ (2001) p-Version interface elements in global/local analysis. Int J Numer Meth Eng 53: 181–206
Semerdjiev S (1970) Metal to metal adhesive bonding. Business Book Limited, London, UK
Serrano E (2001) Glued-in rods for timber structures – a 3D model and finite element parameter studies. Int J Adhes Adhes 21: 115–127
Soutis C, Hu FZ (1997) Design and performance of bonded patch repairs of composite structures. Prc Instn Mech Engrs Part G 211: 263–271
Srinivas S (1975) Analysis of bonded joints. NASA TN D-7855
Temiz S (2006) Application of bi-adhesive in double-strap joints subjected to bending moment. J Adhes Sci Technol 20: 1547–1560
Tong L, Sun X (2003) Nonlinear stress analysis for bonded patch to curved thin-walled structures. Int J Adhes Adhes 23: 349–364
Towse A (1999) The use of Weibull statistics for predicting cohesive failure in double lap joints. PhD Dissertation, University of Bristol, UK
Tsai MY, Morton J (1995) The effect of a spew fillet on adhesive stress distributions in laminated composite single-lap joints. Compos Struct 32: 123–131
Vallée T, Keller T (2006) Adhesively bonded lap joints from pultruded GFRP profiles. Part III: Effects of chamfers. Compos Part B-Eng 37: 328–336
Volkersen O (1938) Die nietkraftoerteilung in zubeanspruchten nietverbindungen mit konstanten loschonquerschnitten. Luftfahrtforschung 15: 41–47
Yan Z–M, You M, Yi X–S, Zheng X–L, Li Z (2007) A numerical study of parallel slot in adherend on the stress distribution in adhesively bonded aluminum single lap joint. Int J Adhes Adhes 27: 687–695
You M, Yan Z–M, Zheng X–L, Yu H–Z, Li Z (2007) A numerical and experimental study of gap length on adhesively bonded aluminum double-lap joint. Int J Adhes Adhes 27: 696–702
Zhao X (1991) Stress and failure analysis of adhesively bonded lap joints, PhD thesis, Department of Mechanical Engineering, University of Bristol, UK
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Öchsner, A., da Silva, L.F., Adams, R.D. (2008). Complex Joint Geometry. In: da Silva, L.F.M., Öchsner, A. (eds) Modeling of Adhesively Bonded Joints. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79056-3_5
Download citation
DOI: https://doi.org/10.1007/978-3-540-79056-3_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-79055-6
Online ISBN: 978-3-540-79056-3
eBook Packages: EngineeringEngineering (R0)