PSI - Issue 71

A.K. Dwivedi et al. / Procedia Structural Integrity 71 (2025) 142–149 149 the P 45° and S 0 0 configuration of circular secondary voids, have tendency of flow localization in the plane of = 45° , see Fig 6b. However, due to the strong interaction between the primary voids in P 45° configuration and the elliptical voids the crack will remain in the of =0° , for all the value of “β”. 4. Conclusion The primary outcomes of this study can be summarized as: 1. Void interaction mechanism as well as the crack path of ductile fracture is not only controlled by the large scale of voids (primary voids). 2. The combined effect of the secondary voids’ shapes and their distribution can alter the crack path, thereby impacting the materials fracture toughness. 3. In cases where initially circular cylindrical secondary voids oriented in the plane of θ=45° with respect to the initial crack plane, an increase in mode- mixity β generally results in a marginal rise in fracture toughness. However, the same distribution, elliptical shape of voids demonstrate a non-monotonic relationship between material toughness and the loading parameter “β”. References Beachem C.D. 1963. An electron fractographic study of the influence of plastic strain conditions upon ductile rupture processes in metals. Transactions of American Society of Metal, 56:(3). Cox T.B., Low, J.R. 1974. An investigation of the plastic fracture of AISI 4340 and 18 nickel-200 grade maraging steels. Metallurgical Transactions A, 5:1457 — 1470. Garrison W.M., Moody N.R. 1987. Ductile fracture. Journal of Physics & Chemistry of Solids, 48:1035 – 1074. Tvergaard V., Hutchinson J.W. 1992. The relation between crack growth resistance and fracture process parameters in elastic- plastic solids. Journal of the Mechanics and Physics of Solids, 40:1377 — 1397. Tvergaard V., Hutchinson J. W., 2002. Two mechanisms of ductile fracture: void by void growth versus multiple void interaction. International Journal of Solids and Structures, 39:3581 – 3597. Hahn G.T., Rosenfeld A.R. (1975). Metallurgical factors affecting fracture toughness of aluminium alloys. Metallurgical Transactions A, 6:653 — 670. Dwivedi, A.K., Khan, I.A., Chattopadhyay, J. 2022. A Numerical Study of Void Interactions in Elastic – Plastic Solids Containing Two-Scale Voids., T. (eds) Advances in Structural Integrity. Lecture Notes in Mechanical Engineering. Springer, Singapore. 978-981-16-8723-5. Dwivedi A., Khan I.A., Chattopadhyay J. 2023. On the role of shape and distribution of secondary voids in the mechanism of coalescence, Engineering Fracture Mechanics, 289:0013-7944. Dwivedi A., Khan I.A., Chattopadhyay J. 2024 Effect of Shape and Distribution of Secondary Voids on Ductile Crack Path, Procedia Structural Integrity, Volume 60, Pages 286-297, ISSN 2452-3216, Gao X., Wang T., Kim J. 2005. On ductile fracture initiation toughness: Effects of void volume fraction, void shape and void distribution. International Journal of Solids and Structures, 42:5097 — 5117. Kim J., Gao X., Srivatsan T.S. 2003. Modeling of crack growth in ductile solids: a three-dimensional analysis. International Journal of Solids and Structures, 40:7357 — 7374. Tvergaard V., 2007. Discrete modelling of ductile crack growth by void growth to coalescence. Int J Fract, 148:1 – 12. Tvergaard V. and Niordson C., 2008. Size-Effects at a Crack-Tip Interacting with a Number of Voids. Philosophical Magazine and Philosophical Magazine Letters. Hutter G., Zybell L., Muhlich U., Kuna M. 2012. Ductile crack propagation by plastic collapse of the intervoid ligaments. International Journal Fracture, 176:81 – 96. Hutter G., Zybell L., Muhlich U., Kuna M. 2013. Consistent simulation of ductile crack propagation with discrete 3D voids. Computational Materials Science, 80:61 – 70. Hutter G., Zybell L., Kuna M. 2014. Size effects due to secondary voids during ductile crack propagation. International Journal of Solids and Structures 51: 839 – 847. Srivastava A., Osovski S., Needleman A., 2017. Engineering the crack path by controlling the microstructure. Journal of the Mechanics and Physics of Solids, 100:1 – 20 Buljac A., Helfen L., Hild F., Morgeneyer T.F.2018. Effect of void arrangement on ductile damage mechanisms in nodular graphite cast iron: In situ 3D measurements. Engineering Fracture Mechanics, 192:242 – 261 Andersen R.G., Nielsen K.L., Legarth B.N. 2019. Void-by-void versus multiple void interaction under mode I-mode II or mode I-mode III loading conditions. Engineering Fracture Mechanics, 214:248 – 259 Roy Y, Narasimhan R. 1999. A finite element investigation of the effect of crack tip constraint on hole growth under mode I and mixed mode loading. International Journal of Solids and Structures, 36:1427 – 1447. Sreedhar S.A., Narasimhan R. 2024. Numerical simulations of ductile crack initiation and growth in a textured magnesium alloy. Mechanics of Materials, 190:104929. Tvergaard V., Needleman A. 1995. Effects of nonlocal damage in porous plastic solids. International Journal of Solids and Structures, 32:1063 – 1077.