PSI - Issue 2_B

L.E.B Dæhli et al. / Procedia Structural Integrity 2 (2016) 2535–2542 L.E.B. Dæhli et al. / Structural Integrity Procedia 00 (2016) 000–000

2542

8

Numerical simulations also demonstrate the directional dependency of the void evolution, which is linked to the plastic flow direction. The calibrated porous plasticity model shows predictive capabilities. However, the equivalent stress strain response is captured to a greater extent than the void growth. This is most likely related to the void evolution expression which does not account for the void shape evolution and directional dependency due to plastic anisotropy. It thus seems probable that the predictions would be enhanced if the void evolution is more correctly accounted for by the model. Also, it is noted that void coalescence is not accounted for in the present work. More involved unit cell analyses are needed to study this appropriately, which is considered for future work. Acknowledgement The financial support of this work from the Centres for Research-based Innovation (CRI) SIMLab and CASA at the Norwegian University of Science and Technology (NTNU) is gratefully acknowledged. Barlat, F., Aretz, H., Yoon, J.W., Karabin, M.E., Brem, J.C., Dick, R.E., 2005. Linear transfomation-based anisotropic yield functions. International Journal of Plasticity 21, 1009–1039. Barlat, F., Richmond, O., 1987. Prediction of tricomponent plane stress yield surfaces and associated flow and failure behavior of strongly textured F.C.C. polycrystalline sheets. Materials Science and Engineering 95, 15–29. Barsoum, I., Faleskog, J., 2007. Rupture mechanisms in combined tension and shear-Micromechanics. International Journal of Solids and Structures 44, 5481–5498. Benzerga, A.A., Besson, J., 2001. Plastic potentials for anisotropic porous solids. European Journal of Mechanics, A / Solids 20, 397–434. Benzerga, A.A., Besson, J., Pineau, A., 2004. Anisotropic ductile fracture: Part II: Theory. Acta Materialia 52, 4639–4650. Bron, F., Besson, J., 2004. A yield function for anisotropic materials Application to aluminum alloys. International Journal of Plasticity 20, 937–963. Dæhli, L.E.B., Børvik, T., Hopperstad, O.S., 2016. Influence of loading path on ductile fracture of tensile specimens made from aluminium alloys. International Journal of Solids and Structures doi: 10.1016/j.ijsolstr.2016.03.028 . Faleskog, J., Gao, X., Shih, C.F., 1998. Cell model for nonlinear fracture analysis – I. Micromechanics calibration. International Journal of Fracture 89, 355–373. Gao, X., Zhang, G., Roe, C., 2010. A Study on the E ff ect of the Stress State on Ductile Fracture. International Journal of Damage Mechanics 19, 75–94. Gurson, A., 1977. Continuum Theory of Ductile Rupture by Void Nucelation and Growth: Part I – Yield Criteria and Flow Rules for Porous Ductile Media. Journal of Engineering Materials and Technology 99, 2—-15. Han, X., Besson, J., Forest, S., Tanguy, B., Bugat, S., 2013. A yield function for single crystals containing voids. International Journal of Solids and Structures 50, 2115–2131. Hancock, J., Mackenzie, A., 1976. On the mechanisms of ductile failure in high-strength steels subjected to multi-axial stress-states. Journal of the Mechanics and Physics of Solids 24, 147–160. Keralavarma, S.M., Benzerga, A.A., 2010. A constitutive model for plastically anisotropic solids with non-spherical voids. Journal of the Mechanics and Physics of Solids 58, 874–901. Keralavarma, S.M., Hoelscher, S., Benzerga, A.A., 2011. Void growth and coalescence in anisotropic plastic solids. International Journal of Solids and Structures 48, 1696–1710. Monchiet, V., Cazacu, O., Charkaluk, E., Kondo, D., 2008. Macroscopic yield criteria for plastic anisotropic materials containing spheroidal voids. International Journal of Plasticity 24, 1158–1189. Paux, J., Morin, L., Brenner, R., Kondo, D., 2015. An approximate yield criterion for porous single crystals. European Journal of Mechanics - A / Solids 51, 1–10. Rice, J., Tracey, D., 1969. On the ductile enlargement of voids in triaxial stress fields. Journal of the Mechanics and Physics of Solids 17, 201–217. Saai, A., Dumoulin, S., Hopperstad, O.S., Lademo, O.G., 2013. Simulation of yield surfaces for aluminium sheets with rolling and recrystallization textures. Computational Materials Science 67, 424–433. Steglich, D., Wafai, H., Besson, J., 2010. Interaction between anisotropic plastic deformation and damage evolution in Al 2198 sheet metal. Engineering Fracture Mechanics 77, 3501–3518. Tvergaard, V., 1981. Influence of voids on shear band instabilities under plane strain conditions. International Journal of Fracture 17, 389–407. Zhang, K., 2001. Numerical analysis of the influence of the Lode parameter on void growth. International Journal of Solids and Structures 38, 5847–5856. References