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Introductory application of a natural neighbour meshless elastic formulation to double-lap adhesive joints

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Abstract

Nowadays, adhesive bonding is an essential joining technique in top-end sectors, such as aircraft, automotive, and construction industries. Due to their advantages over traditional joining methods, adhesive joints research has been under huge developments in recent years, being the development of accurate and efficient numerical techniques a leading challenge in adhesive joint design. Although the finite element method (FEM) is an established discretisation technique, meshless methods emerged as alternative discretisation methods to evaluate adhesive joints. Nonetheless, meshless techniques still require deeper research in adhesive joint simulations, where strength prediction is hindered by intricate stress states and material behaviour. This paper aims to evaluate the natural neighbours radial point interpolation method (NNRPIM) in the linear analysis of adhesive joints. The capability of the method was addressed by comparing it with analytical models, the FEM and experimental data. As the applications of meshless methods to analyse adhesive joints are scarce, this work evaluates the behaviour of double-lap joints (DLJ) considering distinct overlap lengths and adhesive materials. DLJ has a different behaviour than single-lap joints, which are more commonly analysed. Thus, this work provides a preliminary linear analysis, which could be the basis for further analyses of adhesive joints combining the NNRPIM with elastic–plastic, hyper-elastic, and large deformations formulations. Although it is remarked that elastic formulations underpredict joint strength, the NNRPIM shows similar results to the FEM, which supports the extension of the NNRPIM to more representative mathematical formulations and complex joint designs.

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Acknowledgements

This work has been funded by the Ministério da Ciência, Tecnologia e Ensino Superior through the Fundação para a Ciência e a Tecnologia (from Portugal), under project fundings ‘MIT-EXPL/ISF/0084/2017’, ‘POCI-01-0145-FEDER-028351’, and ‘SFRH/BD/147628/2019’. Additionally, the authors acknowledge the funding provided by the Associated Laboratory for Energy, Transports and Aeronautics (LAETA), under project ‘UIDB/50022/2020’.

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Authors and Affiliations

  1. INEGI – Pólo FEUP, Rua Dr. Roberto Frias, s/n, 4200-465, Porto, Portugal

    Diogo C. Gonçalves, Isidro J. Sánchez-Arce, Luís D. C. Ramalho, Raul D. S. G. Campilho & Jorge Belinha

  2. Instituto Superior de Engenharia Do Porto, Rua Dr. António Bernardino de Almeida, 431, 4200-072, Porto, Portugal

    Raul D. S. G. Campilho & Jorge Belinha

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  1. Diogo C. Gonçalves
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  2. Isidro J. Sánchez-Arce
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  3. Luís D. C. Ramalho
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  4. Raul D. S. G. Campilho
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Correspondence to Diogo C. Gonçalves.

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Technical Editor: João Marciano Laredo dos Reis.

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Gonçalves, D.C., Sánchez-Arce, I.J., Ramalho, L.D.C. et al. Introductory application of a natural neighbour meshless elastic formulation to double-lap adhesive joints. J Braz. Soc. Mech. Sci. Eng. 44, 55 (2022). https://doi.org/10.1007/s40430-021-03355-0

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