A phase-field numerical framework to study ductile damage to fracture transition: An application to material forming processes
PINO MUÑOZ Daniel, BOUCHARD Pierre-Olivier, ELDAHSHAN Hazem, ALVES José, PERCHAT Etienne
download PDFAbstract. In this work we present a phase-field based method to accurately predict the nucleation and evolution of damage. The damage pattern is then used as a criterion for automatic, remeshing-based, 3D crack insertion and propagation. The proposed framework has been implemented in Forge® finite element software and it offers a robust numerical tool for the modeling of damage to fracture transition in complex industrial processes. A bar shearing simulation will be used to show the robustness and efficiency of the approach. The flexibility of the approach is presented through the use of different damage criteria introduced into the phase-field formulation.
Keywords
Ductile Damage to Fracture Transition, Phase Field, Forming Processes
Published online 4/19/2023, 8 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: PINO MUÑOZ Daniel, BOUCHARD Pierre-Olivier, ELDAHSHAN Hazem, ALVES José, PERCHAT Etienne, A phase-field numerical framework to study ductile damage to fracture transition: An application to material forming processes, Materials Research Proceedings, Vol. 28, pp 1603-1610, 2023
DOI: https://doi.org/10.21741/9781644902479-173
The article was published as article 173 of the book Material Forming
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
References
[1] T.L. Anderson, Fracture mechanics: fundamentals and applications, CRC press, 2017.
[2] Y. Bao, T. Wierzbicki, On fracture locus in the equivalent strain and stress triaxiality space, Int. J. Mech. Sci. 46 (2004) 81-98. https://doi.org/10.1016/j.ijmecsci.2004.02.006
[3] Y. Lou, J.W. Yoon, H. Huh, Modeling of shear ductile fracture considering a changeable cut-off value for stress triaxiality, Int. J. Plast. 54 (2014) 56-80. https://doi.org/10.1016/j.ijplas.2013.08.006
[4] M. Jirásek, Mathematical analysis of strain localization, Revue européenne de génie civil 11 (2007) 977-991.
[5] K. Saanouni, On the numerical prediction of the ductile fracture in metal forming, Eng. Fract. Mech. 75 (2008) 3545-3559. https://doi.org/10.1016/j.engfracmech.2007.02.023
[6] T.S. Cao, Models for ductile damage and fracture prediction in cold bulk metal forming processes: a review, Int. J. Mater. Form. 10 (2017) 139-171. https://doi.org/10.1007/s12289-015-1262-7
[7] M. Ambati, T. Gerasimov, L. De Lorenzis, Phase-field modeling of ductile fracture, Computat. Mech. 55 (2015) 1017-1040. https://doi.org/10.1007/s00466-015-1151-4
[8] C. Miehe, F. Aldakheel, A. Raina,. Phase field modeling of ductile fracture at finite strains: A variational gradient-extended plasticity-damage theory, Int. J. Plast. 84 (2016) 1-32. https://doi.org/10.1016/j.ijplas.2016.04.011
[9] J. Mediavilla, R. Peerlings, M. Geers, Discrete crack modelling of ductile fracture driven by non-local softening plasticity, Int. J. Numer. Meth. Eng. 66 (2006) 661-688. https://doi.org/10.1002/nme.1572
[10] S. Feld-Payet, V. Chiaruttini, J. Besson, F. Feyel, A new marching ridges algorithm for crack path tracking in regularized media, Int. J. Solid. Struct. 71 (2015) 57-69. https://doi.org/10.1016/j.ijsolstr.2015.04.043
[11] T. Belytschko, T. Black, Elastic crack growth in finite elements with minimal remeshing, Int. J. Numer. Meth. Eng. 45 (1999) 601-620. https://doi.org/10.1002/(SICI)1097-0207(19990620)45:5%3C601::AID-NME598%3E3.0.CO;2-S
[12] A.M. Aragón, A. Simone, The discontinuity‐enriched finite element method. Int. J. Numer. Meth. Eng. 112 (2017) 1589-1613. https://doi.org/10.1002/nme.5570
[13] H. Eldahshan, D. Pino Muñoz, J. Alves, E. Perchat, P.-O. Bouchard, 3D crack initiation and propagation applied to metal forming processes, Int. J. Mat. Form. 15 (2022) 1-26. https://doi.org/10.1007/s12289-022-01702-7
[14] H. Eldahshan, J. Alves, P.-O. Bouchard, E. Perchat, D. Pino Munoz, CIPFAR: A 3D unified numerical framework for the modeling of ductile fracture based on the phase field model and adaptive remeshing, Comput. Meth. Appl. Mech. Eng. 387 (2021) 114171. https://doi.org/10.1016/j.cma.2021.114171
[15] G.A. Francfort, J.-J. Marigo, Revisiting brittle fracture as an energy minimization problem, J. Mech. Phy. Sol. 46 (1998) 1319-1342. https://doi.org/10.1016/S0022-5096(98)00034-9
[16] H. Eldahshan, 3D crack initiation and propagation in a fully parallel framework applied to metal forming applications, PhD thesis, Mines Paris, PSL University, 2021.
