Abstract
Adhesive joints are widely used in the production of goods, mainly in the transport industry. However, their industrial applications often have non-standard complex shapes. Computer simulation, like the finite element method (FEM), is widely used for their analysis but limitations still exist. Meshless methods have been in development and offer an option to overcome some limitations of the FEM; however, these are still in development. In this work, an efficient meshless method, the ‘natural neighbour radial point interpolation method’ (NNRPIM), has been applied to the analysis of adhesive joints including an elasto-plastic formulation for the adhesive. First, experimental data corresponding to four overlap lengths (\(L_O\)) and two different adhesives were measured, as a benchmark. Afterwards, joint strength (\(P_{\mathrm{max}}\)) was analytically obtained as a second benchmark. Then, all the joint geometries were simulated utilising the FEM and NNRPIM methodologies, and \(P_{max}\) were calculated from those simulations. Finally, the results were compared against the first and second benchmarks. The meshless method proved to be a good alternative to the FEM, providing similar strength prediction. Moreover, the stress distribution curves were compared. In conclusion, the NNRPIM provides accurate results and could be utilised for further study of adhesively-bonded joints.
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References
Adams RD, Wake WD (1984) Structural adhesive joints in engineering. Elsevier Applied Science Publishers LTD, Essex, England. https://doi.org/10.1007/978-94-009-5616-2
Fay PA (2005) History of adhesive bonding. In: Adhesive bonding: science, technology and applications. Woodhead Publishing Limited, Cambridge, England, pp 3–22
da Silva LFM, das Neves PJC, Adams RD, Wang A, Spelt JK (2009) Analytical models of adhesively bonded joints-Part II: comparative study. Int J Adhes Adhes 29(3):331–341. https://doi.org/10.1016/j.ijadhadh.2008.06.007
da Silva LFM, das Neves PJC, Adams RD, Spelt JK (2009) Analytical models of adhesively bonded joints-Part I: literature survey. Int J Adhes Adhes 29(3):319–330. https://doi.org/10.1016/j.ijadhadh.2008.06.005
Harris JA, Adams RD (1984) Strength prediction of bonded single lap joints by non-linear finite element methods. Int J Adhes Adhes 4(2):65–78. https://doi.org/10.1016/0143-7496(84)90103-9
Bigwood DA, Crocombe AD (1990) Non-linear adhesive bonded joint design analyses. Int J Adhes Adhes 10(1):31–41. https://doi.org/10.1016/0143-7496(90)90025-S
Raghava R, Caddell RM, Yeh GSY (1973) The macroscopic yield behaviour of polymers. J Mater Sci 8:225–232
Dean GD, Crocker LE, Read B, Wright L (2004) Prediction of deformation and failure of rubber-toughened adhesive joints. Int J Adhes Adhes 24(4):295–306. https://doi.org/10.1016/j.ijadhadh.2003.08.002
Mubashar A, Ashcroft IA (2017) Comparison of cohesive zone elements and smoothed particle hydrodynamics for failure prediction of single lap adhesive joints. J Adhes 93(6):444–460. https://doi.org/10.1080/00218464.2015.1081819
Fernandes TAB, Campilho RDSG, Banea MD, da Silva LFM (2015) Adhesive selection for single lap bonded joints: experimentation and advanced techniques for strength prediction. J Adhes 91(10–11):841–862. https://doi.org/10.1080/00218464.2014.994703
Campilho RDSG, Banea MD, Neto JABP, da Silva LFM (2013) Modelling adhesive joints with cohesive zone models: effect of the cohesive law shape of the adhesive layer. Int J Adhes Adhes 44:48–56. https://doi.org/10.1016/J.IJADHADH.2013.02.006
Fernandes RL, Campilho RDSG (2017) Testing different cohesive law shapes to predict damage growth in bonded joints loaded in pure tension. J Adhes 93(1–2):57–76. https://doi.org/10.1080/00218464.2016.1169176
de Sousa CCRG, Campilho RDSG, Marques EAS, Costa M, da Silva LFM (2017) Overview of different strength prediction techniques for single-lap bonded joints. Proc Inst Mech Eng Part L J Mater Des Appl 231(1–2):210–223. https://doi.org/10.1177/1464420716675746
Dean GD, Crocker LE (2001) The use of finite element methods for design with adhesives. Technical report, National Physical Laboratory, Teddington, Middlesex, UK
Simulia User Assistence, ABAQUS 7.0 Documentation (2017)
Crisfield MA (1997) Non-linear finite element analysis of solids and structures. Volume 2: Advanced topics. Wiley Ltd, Chichester, West Sussex, UK
da Silva LFM, Rodrigues TNSS, Figueiredo MAV, de Moura MFSF, Chousal JAG (2006) Effect of adhesive type and thickness on the lap shear strength. J Adhes 82(11):1091–1115. https://doi.org/10.1080/00218460600948511
Özer H, Öz Ö (2017) The use of the exponential Drucker-Prager material model for defining the failure loads of the mono and bi-adhesive joints. Int J Adhes Adhes 76:17–29. https://doi.org/10.1016/J.IJADHADH.2017.02.005
Öz Ö, Özer H (2017) An experimental investigation on the failure loads of the mono and bi-adhesive joints. J Adhes Sci Technol 31(19–20):2251–2270. https://doi.org/10.1080/01694243.2016.1264661
Nguyen VP, Rabczuk T, Bordas S, Duflot M (2008) Meshless methods: a review and computer implementation aspects. Math Comput Simul 79(3):763–813. https://doi.org/10.1016/J.MATCOM.2008.01.003
Dinis L, Natal Jorge RM, Belinha J (2009) The radial natural neighbours interpolators extended to elastoplasticity. In: AJM Ferreira, EJ Kansa, GE Fasshauer, VMA Leitão (eds) Progress meshless methods. Springer Science & Business Media B.V., pp 175–198
Belinha J (2015) Meshless methods in biomechanics: bone tissue remodelling analysis. Springer International Publishing. https://doi.org/10.1007/978-3-319-06400-0
Farahani BV, Belinha J, Amaral R, Tavares PJ, Moreira PMPG (2019) Extending radial point interpolating meshless methods to the elasto-plastic analysis of aluminium alloys. Eng Anal Bound Elem 100:101–117. https://doi.org/10.1016/J.ENGANABOUND.2018.02.008
Tsai CL, Guan YL, Ohanehi DC, Dillard JG, Dillard DA, Batra RC (2014) Analysis of cohesive failure in adhesively bonded joints with the SSPH meshless method. Int J Adhes Adhes 51:67–80. https://doi.org/10.1016/j.ijadhadh.2014.02.009
Bodjona K, Lessard L (2015) Nonlinear static analysis of a composite bonded/bolted single-lap joint using the meshfree radial point interpolation method. Compos Struct 134:1024–1035. https://doi.org/10.1016/j.compstruct.2015.08.136
Ramalho LDC, Campilho RDSG, Belinha J (2019) Predicting single-lap joint strength using the natural neighbour radial point interpolation method. J Braz Soc Mech Sci Eng 41(9):1–11. https://doi.org/10.1007/s40430-019-1862-0
Sánchez-Arce IJ, Ramalho LDC, Campilho RDSG, Belinha J (2019, in Press) Evaluation of an elastic meshless formulation to adhesive joints’ strength prediction against established methods. J Adhes Sci Technol, pp 1–27. https://doi.org/10.1080/01694243.2019.1702829
Moreira SF, Belinha J, Dinis LMJS, Natal Jorge RM (2017) The anisotropic elasto-plastic analysis using a natural neighbour RPIM version. J Braz Soc Mech Sci Eng 39:1773–1795. https://doi.org/10.1007/s40430-016-0603-x
Nunes SLS, Campilho RDSG, da Silva FJG, de Sousa CCRG, Fernandes TAB, Banea MD, da Silva LFM (2016) Comparative failure assessment of single and double lap joints with varying adhesive systems. J Adhes 92(7–9):610–634. https://doi.org/10.1080/00218464.2015.1103227
Campilho RDSG, Pinto AMG, Banea MD, Silva RF, da Silva LFM (2011) Strength improvement of adhesively-bonded joints using a reverse-bent geometry. J Adhes Sci Technol 25:2351–2368. https://doi.org/10.1163/016942411X580081
Campilho RDSG, Banea MD, Pinto AMG, da Silva LFM, de Jesus AMP (2011) Strength prediction of single- and double-lap joints by standard and extended finite element modelling. Int J Adhes Adhes 31(5):363–372. https://doi.org/10.1016/J.IJADHADH.2010.09.008
Campilho RDSG, Moura DC, Gonçalves DJS, da Silva JFMG, Banea MD, da Silva LFM (2013) Fracture toughness determination of adhesive and co-cured joints in natural fibre composites. Compos Part B Eng 50:120–126. https://doi.org/10.1016/J.COMPOSITESB.2013.01.025
Neto JABP, Campilho RDSG, da Silva LFM (2012) Parametric study of adhesive joints with composites. Int J Adhes Adhes 37:96–101. https://doi.org/10.1016/J.IJADHADH.2012.01.019
Belinha J, Araújo AL, Ferreira AJM, Dinis LMJS, Natal Jorge RM (2016) The analysis of laminated plates using distinct advanced discretization meshless techniques. Compos Struct 143:165–179. https://doi.org/10.1016/j.compstruct.2016.02.021
Owen DRJ, Hinton E (1980) Finite Elements in Plasticity, 1st edn. Pineridge Press Limited, Swansea, UK
Crocombe AD, Kinloch AJ (1994) Review of adhesive bond failure criteria. Technical reports, AEA Technology INC, Didcot, Oxfordshire, UK
Hart-Smith LJ (1973) Adhesive-bonded single-lap joints. Technical reports, NASA, Hampton, Virginia, USA
Funding
The authors truly acknowledge the funding provided by the Ministério da Ciência, Tecnologia e Ensino Superior—Fundação para a Ciência e a Tecnologia (Portugal), under project fundings ‘MIT-EXPL/ISF/0084/2017’, ‘POCI-01-0145-FEDER-028351’, and ‘SFRH/BD/147628/2019’. Additionally, the authors gratefully acknowledge the funding of Project ‘NORTE-01-0145-FEDER-000022’—SciTech—Science and Technology for Competitive and Sustainable Industries, co-financed by Programa Operacional Regional do Norte (NORTE2020), through Fundo Europeu de Desenvolvimento Regional (FEDER).
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Sánchez-Arce, I.J., Ramalho, L.D.C., Campilho, R.D.S.G., Belinha, J. (2021). Development of an Elasto-plastic Meshless Technique to Analyse Bonded Structures. In: Silva, L., Adams, R., Sato, C., Dilger, K. (eds) Industrial Applications of Adhesives . Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-6767-4_4
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