PSI - Issue 41

T.F.C. Pereira et al. / Procedia Structural Integrity 41 (2022) 14–23 Pereira et al. / Structural Integrity Procedia 00 (2019) 000 – 000

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Nonetheless, η ≤1 over predic ts P m , in comparison with the benchmark, while the opposite is found for η >1. The maximum deviation between η =0.5 in relation to  =1 is 5.1% ( L O =25 mm). The best results were found for η =1, with a respective maximum difference of 3.1% to  =1 ( L O =25 mm). Finally, the worst match was found for η =2.5, with a maximum offset of 10.9% to  =1 ( L O =25 mm). 4. Conclusions In this work, the influence of the impact CZM parameters on P m of adhesively-bonded CFRP SLJ was evaluated. Initial CZM validation was accomplished with steel SLJ, The P m comparison showed ≈16% offset to the experiments, which was considered acceptable and served as basis for the numerical analysis. Relevant guidelines were found in the subsequent numerical analysis, which enables a deeper knowledge in the modelling accuracy and capacity of CZM for impact joint design: • Mode decoupling: Decoupling the tensile and shear CZM laws leads to non-negligible P m under estimations, and thus this technique is not recommended, although commercial software limitation can prevent application of non standard laws, which do not possess mixed-mode formulations; • CZM shape: For a brittle adhesive, the CZM shape has a negligible effect on P m throughout the tested L O . Bigger differences could be found for ductile adhesives; • Damage initiation criterion: The QUADS criterion was considered the benchmark. Stress-based criteria behave identically and accurately, while strain-based criteria significantly over predict P m and should not be used; • Damage propagation criterion: Differences from the benchmark  =1 (PW propagation criterion) are small for  >1 but significant for  <1. The same occurs for  (BK propagation criterion), although with smaller differences to the benchmark value. References Abaqus® (2017). Documentation of the software Abaqus®. Dassault Systèmes. Vélizy-Villacoublay Adams, R. D., Adams, R. D., Comyn, J., Wake, W. C. and Wake, W. (1997). Structural adhesive joints in engineering, Springer Science & Business Media. Al-Zubaidy, H. A., Zhao, X. L. and Al-Mahaidi, R., 2011. Effect of Impact Tensile Load on Strength of CFRP Bonded Steel Plate Joints. Procedia Engineering 14, 1312-1317. Alfano, G., 2006. On the influence of the shape of the interface law on the application of cohesive-zone models. Composites Science and Technology 66(6), 723-730. Alfano, G. and Crisfield, M. A., 2001. Finite element interface models for the delamination analysis of laminated composites: mechanical and computational issues. International Journal for Numerical Methods in Engineering 50(7), 1701-1736. Allix, O. and Corigliano, A., 1996. Modeling and simulation of crack propagation in mixed-modes interlaminar fracture specimens. International Journal of Fracture 77(2), 111-140. Barenblatt, G. I., 1959. The formation of equilibrium cracks during brittle fracture. General ideas and hypotheses. Axially-symmetric cracks. Journal of applied mathematics and mechanics 23(3), 622-636. Campilho, R. D., De Moura, M. and Domingues, J., 2005. Modelling single and double-lap repairs on composite materials. Composites Science and Technology 65(13), 1948-1958. Campilho, R. D. S. G., Banea, M. D., Neto, J. A. B. P. and da Silva, L. F. M., 2013. Modelling adhesive joints with cohesive zone models: effect of the cohesive law shape of the adhesive layer. International Journal of Adhesion and Adhesives 44, 48-56. Campilho, R. D. S. G., Banea, M. D., Pinto, A. M. G., da Silva, L. F. M. and de Jesus, A. M. P., 2011. Strength prediction of single- and double lap joints by standard and extended finite element modelling. International Journal of Adhesion and Adhesives 31(5), 363-372. Chandra, N., Li, H., Shet, C. and Ghonem, H., 2002. Some issues in the application of cohesive zone models for metal – ceramic interfaces. International Journal of Solids and Structures 39(10), 2827-2855. Chen, J., 2002. Predicting progressive delamination of stiffened fibre-composite panel and repaired sandwich panel by decohesion models. Journal of Thermoplastic Composite Materials 15(5), 429-442. da Silva, L. F. M. and Campilho, R. D. S. G. (2012). Advances in numerical modelling of adhesive joints. Berlin, Germany, Springer. da Silva, L. F. M., Öchsner, A. and Adams, R. D., Eds. (2011). Handbook of adhesion technology. Heidelberg, Germany, Springer. de Sousa, C. C. R. G., Campilho, R. D. S. G., Marques, E. A. S., Costa, M. and da Silva, L. F. M., 2017. Overview of different strength prediction techniques for single-lap bonded joints. Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications 231(1-2), 210-223. Dugdale, D. S., 1960. Yielding of steel sheets containing slits. Journal of the Mechanics and Physics of Solids 8(2), 100-104. Hart-Smith, L. J. (1973). Adhesive-bonded single-lap joints. NASA Contract Report, NASA CR-112236. Kafkalidis, M. S. and Thouless, M. D., 2002. The effects of geometry and material properties on the fracture of single lap-shear joints. International Journal of Solids and Structures 39(17), 4367-4383.

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