Porosity evolution under shear loadings
Karl Knaak, Oana Cazacu, Benoit Revil-Baudard
Abstract. This paper is devoted to the investigation of the role played by matrix behavior on damage evolution; specifically, matrix sensitivity to the third invariant of the stress deviator, J3 under loadings corresponding to Lode parameter L = 0. To this end, finite-element (FE) unit-cell simulations were conducted for porous materials with matrix described by Cazacu [1] yield criterion. The isotropic form of this yield criterion involves a unique parameter, denoted α; in the case when α = 0 it reduces to the von Mises yield criterion while for α ≠ 0 it involves dependence on J3. The results of FE simulations for materials characterized by various values of the parameter α put into evidence the role played by the particularities of the plastic deformation on damage evolution. A homogenized plastic potential is introduced, and it is shown that it captures the observed trends.
Keywords
Ductile Damage, Third-Invariant, Shear Loadings, Unit-Cell, Finite Element
Published online 5/7/2025, 7 pages
Copyright © 2025 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: Karl Knaak, Oana Cazacu, Benoit Revil-Baudard, Porosity evolution under shear loadings, Materials Research Proceedings, Vol. 54, pp 1919-1925, 2025
DOI: https://doi.org/10.21741/9781644903599-206
The article was published as article 206 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] O. Cazacu. New yield criteria for isotropic and textured metallic materials, Int J Solids Struct. 139-140 (2018) 200-210. https://doi.org 10.1016/j.ijsolstr.2018.01.036
[2] O. Cazacu, et al., Plasticity-Damage Couplings: From Single Crystal to Polycrystalline Materials, Springer, 2019. https://www.springer.com/gb/book/9783319929217
[3] Y. Bai, T. Wierzbicki Application of extended Mohr–Coulomb criterion to ductile fracture. Int J Fract 161:1(2010). https://doi.org/10.1007/s10704-009-9422-8
[4] Abaqus – Version 6.14-1. Dassault Systemes Simulia Corp., Providence, 2014.
[5] V. Tvergaard (1981) Influence of voids on shear band instabilities under plane strain conditions. Int J Fract 17:389–407(1981). https://doi.org/10.1007/BF00036191
[6] A. L Gurson. Continuum theory of ductile rupture by void nucleation and growth: Part I—Yield criteria and flow rules for porous ductile media. J Eng Mater Technol 99, 2–15 (1977). https://doi.org/10.1115/1.3443401