PSI - Issue 39

M.R.M. Aliha et al. / Procedia Structural Integrity 39 (2022) 393–402 Author name / Structural Integrity Procedia 00 (2021) 000–000

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types. afterwards, the crack propagation path was investigated via incremental crack growth method (based on the MTS criterion) and hybrid XFEM-CZM approach. Based on the both methods, for pure mode I condition, the crack propagation path was along the initial crack and inside the adhesive (i.e. occur cohesive fracture). However, for pure mode II and mixed-mode I/II conditions, crack propagation kinks towards the adhesive interface. It was finally observed that as the crack reaches the adhesive interface, the mixed mode I/II crack path can only be examined by the hybrid approach such that the crack development in the XFEM domain stops and the delamination type failure starts to propagate at the interfaces between the adhesive and the adherents in the CZM zone (that results an adhesive type fracture). References [1] Nunes, F. A. A., & Campilho, R. D. S. G. (2018). Mixed-mode fracture analysis of adhesively-bonded joints using the ATDCB test specimen. International Journal of Adhesion and Adhesives, 85, 58-68. [2] Standard, I. S. O. Fibre-reinforced plastic composites–determination of mode I interlaminar fracture toughness. GIC, for uni-directionally reinforced materials. [3] ASTM, D. (2014). Standard test method for determination of the mode II interlaminar fracture toughness of unidirectional fiber-reinforced polymer matrix composites. ASTM Standard. [4] AC09349168, A. (Ed.). (2006). Standard test method for mixed mode I-mode II interlaminar fracture toughness of unidirec-tional fiber reinforced polymer matrix composites. ASTM Internat. [5] J.L. Hogberg, ¨ U. Stigh, Specimen proposals for mixed mode testing of adhesive layer, Eng. Fract. Mech. 73 (16) (2006) 2541–2556. [6] S.J. Hooper, Y. Khourchid, P. Sriram, Application of the MMB Specimen in the Measurement of Mixed Mode Interlaminar Fracture Toughness, Key Eng. Mater. 120–121 (May 1996) 361–388 [7] Aliha, M. R. M., Kucheki, H. G., & Mirsayar, M. (2021). Mixed Mode I/II Fracture Analysis of Bi-Material Adhesive Bonded Joints Using a Novel Short Beam Specimen. Applied Sciences, 11(11), 5232. [8] Campilho, R. D., Banea, M. D., Neto, J. A. B. P., & da Silva, L. F. (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. [9] Rice, J.R., A path independent integral and the approximate analysis of strain concentration by notches and cracks. Journal of Applied Mechanics, 35, 1968, 379–386. [10] Aliha, M. R. M., &Mousavi, S. S. (2020). Sub-sized short bend beam configuration for the study of mixed-mode fracture. Engineering Fracture Mechanics, 225, 106830. [11] Ashcroft, I.A., Hughes, D.J., and Shaw, S.J., Int. J. Adhesion and Adhesives. 21, 87-99 (2001). [12] Erdogan, F., and G. C. Sih, “On the Crack Extension in Plates under Plane Loading and Transverse Shear,” Journal of Basic Engineering, vol. 85, pp. 519–527, 1963. [13] Williams ML. (1957) On the stress distribution at the base of a stationary crack. J Appl Mech, 24, 109. [14] Belytschko T, Black T. Elastic crack growth in finite elements with minimal remeshing. International Journal of Fracture Mechanics 1999;45:601–20. [15] Moes N, Dolbow J, Belytschko T. A finite element method for crack growth without remeshing. International Journal for Numerical Methods in Engineering 1999;46:131–50. [16] Mubashar, A., Ashcroft, I. A., & Crocombe, A. D. (2014). Modelling damage and failure in adhesive joints using a combined XFEM-cohesive element methodology. The Journal of Adhesion, 90(8), 682-697. [17] Stuparu, F., Constantinescu, D. M., Apostol, D. A., & Sandu, M. (2016). A combined cohesive element—XFEM approach for analyzing crack propagation in bonded joints. The Journal of Adhesion, 92(7-9), 535-552. [18] ABAQUS User's Manual, Version 6.14. Dassault Systèmes Simulia Corp. [19] Aliha, M. R. M., &Mousavi, S. S. (2020). Sub-sized short bend beam configuration for the study of mixed-mode fracture. Engineering Fracture Mechanics, 225, 106830. [20] Mousavi, S. S., Aliha, M. R. M., & Imani, D. M. (2020). On the use of edge cracked short bend beam specimen for PMMA fracture toughness testing under mixed-mode I/II. Polymer Testing, 81, 106199. [21] Aliha, M. R. M., Samareh-Mousavi, S. S., & Mirsayar, M. M. (2021). Loading rate effect on mixed mode I/II brittle fracture behavior of PMMA using inclined cracked SBB specimen. International Journal of Solids and Structures, 232, 111177.