PSI - Issue 80

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D.C. Gonçalves et al. / Procedia Structural Integrity 80 (2026) 443–450 Author name / Structural Integrity Procedia 00 (2019) 000–000

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(a) (b) Fig. 5. J Integral considering Mesh 1 (a), and Mesh 2 for distinct contour radius (b)

4. Conclusion The NNNRPIM was applied in the fracture propagation analysis of DCB adhesive joints. Crack propagation was predicted by obtaining the J integral at the crack tip, and comparing it with the material critical energy release rate. The J integral was obtained by numerical integrating the J function considering the NNRPIM integration points in a contour ring with a designated radius. Distinct radii were studied to evaluate the contour radius independence. Moreover, two nodal discretizations with varying densities were constructed to further assess the NNRPIM nodal density independence. Results show the obtained numerical solutions for the varying parameters accurately predict the experimental data. Maximum failure loads are accurately predicted, independently of the nodal discretization considered, and the load-displacement approximation is accurately predicted through the complete crack propagation. Resistance curves show the independency of the contour radius in the J integral calculation from the NNRPIM stress field. Numerical results demonstrate the suitability of the proposed NNRPIM-based crack propagation algorithm to simulate fracture propagation in adhesively bonded joints. Acknowledgements This work has been funded by the Ministério da Ciência, Tecnologia e Ensino Superior through the Fundação para a Ciência e a Tecnologia (Portugal), under project funding ‘2022.13841.BD’, ‘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’. References Belinha, J. (2014). Meshless Methods in Biomechanics - Bone Tissue Remodelling Analysis (1st ed.). Springer. https://doi.org/10.1007/978-3-319 06400-0 Belytschko, T., Lu, Y. Y., & Gu, L. (1994). Element‐free Galerkin methods. International Journal for Numerical Methods in Engineering , 37 (2), 229–256. https://doi.org/10.1002/nme.1620370205 Belytschko, T., Lu, Y. Y., Gu, L., & Tabbara, M. (1995). Element-free galerkin methods for static and dynamic fracture. International Journal of Solids and Structures , 32 (17–18), 2547–2570. https://doi.org/10.1016/0020-7683(94)00282-2 Bodjona, K., & Lessard, L. (2015). Nonlinear static analysis of a composite bonded/bolted single-lap joint using the meshfree radial point interpolation method. Composite Structures , 134 , 1024–1035. https://doi.org/10.1016/j.compstruct.2015.08.136 Bordas, S., Rabczuk, T., & Zi, G. (2008). Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic enrichment. Engineering Fracture Mechanics , 75 (5), 943–960. https://doi.org/10.1016/j.engfracmech.2007.05.010