VOID-CLOSURE BEHAVIOR AND A NEW VOID-EVOLUTION MODEL FOR VARIOUS STRESS STATES
Keywords:
void closure, representative volume element, stress triaxiality, Lode parameter, void-evolution model
Abstract
Cavity defects including a shrinkage cavity, air hole and porosity are typical defects of an ingot, which are difficult to avoid. These defects can disappear during deformation at a reasonably high temperature and heat-preservation process so as to ensure the quality of forgings. However, the current understanding of the mechanism of the void closure is insufficient, and the models that can accurately predict the evolution of a void are relatively rare. Based on the representative-volume-element model, a theoretical analysis and numerical simulation, the influence of the Lode parameter and stress triaxiality on the void closure is expounded. Besides, based on the above research, a new void-evolution model considering all kinds of macro-stress states is proposed. The model can predict the closure degree of voids in different positions and various macro-stress states during the plastic deformation of ingots. Comparing the new void-evolution model with other models, numerical simulations and physical-simulation results, the accuracy of the proposed void-evolution model is verified.
References
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2 H. G. Huang, Y. Liu, F. S. Du, Void Closure Behavior in Large Diameter Steel Rod during H-V Rolling Process, J. Iron Steel Res. Int., 21 (2014) 3, 287–294, doi:10.1016/S1006-706X(14)60044-3
3 L. Yuan, J. Xiong, Y. Peng, Modeling void closure in solid-state diffusion bonding of TC4 alloy, Vacuum, 173 (2020), 109–120, doi:10.1016/j.vacuum.2019.109120
4 P. Hibbe, G. Hirt, Analysis of the bond strength of voids closed by open-die forging, Int. J. Mater. Form., 13 (2019), 117–126, doi:10.1007/s12289-019-01474-7
5 M. Tanaka, S. Ono, M. Tsuneno, Factors contributing to crushing of voids during forging, J. Jpn. Soci. Technol. Plast., 306 (1986) 27, 852–859, doi:not found
6 M. Tanaka, S. Ono, M. Tsuneno, A numerical analysis on void crushing during side compression of round bar by flat dies, J. Jpn. Soci. Technol. Plast., 314 (1987) 28, 238–244
7 R. S. Nalawade, P. P. Patil, G. Balachandran, Void Closure in a Large Cross Section Bars Hot Rolled from a Low Alloy Steel Ingot Casting, T. Indian I. Metals, 69 (2016) 9, 1711–1721, doi:10.1007/ s12666-016-0831-x
8 K. Chen, Y. Yang, G. Shao, Strain function analysis method for void closure in the forging process of the large-sized steel ingot, Comp. Mater. Sci., 51 (2012) 1, 72–77, doi:10.1016/j.commatsci. 2011.07.011
9 X. X. Zhang, Z. S. Cui, W. Chen, A criterion for void closure in large ingots during hot forging, J. Mater. Process. Tech., 209 (2009) 4, 1950–1959, doi:10.1016/j.jmatprotec.2008.04.051
10 N. Harris, D. Shahriari, M. Jahazi, Development of a fast converging material specific void closure model during ingot forging, J. Manuf. Process., 26 (2017), 131–141, doi:10.1016/j.jmapro.2017.02.021
11 Tian Duanyang, Shu Xuedao, Zhu Ying, et al. Closure laws of void in the core of cross wedge rolling shaft based on the floating-pressure method, Int. J. Adv. Manuf. Tech., 98 (2018) 9–12, 2905–2916, doi:10.1007/s00170-018-2448-1
12 J. J. Park, Numerical analysis of void closure in metal forming, Pro. Manuf., 15 (2018), 1841–1846, doi:10.1016/j.promfg.2018.07.206
13 S. H. Zhang, X. R. Jiang, Z. X. Xia, Mathematical modeling of closure behavior for a centrally elliptical void in thick slab, Mech. Mater., 145 (2020), 1–11, doi:10.1016/j.mechmat.2020.103373
14 L. Zhang, W. F. Shen, C. Zhang, Numerical simulation of different types of voids closure in large continuous casting billet during multi-pass stretching process, Pro. Eng., 207 (2017), 532–537, doi:10.1016/j.proeng.2017.10.817
15 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. Technol., 99 (1977), 2–15, doi:10.1115/ 1.3443401
16 Y. Zhu, M. D. Engelhardt, K. Ravi, Combined effects of triaxiality, Lode parameter and shear stress on void growth and coalescence, Eng. Fract. Mech., 199 (2018), 410–437, doi:10.1016/j.engfracmech. 2018.06.008
17 L. E. Dæhli, D. Morin, T. Børvik, A Lode-dependent Gurson model motivated by unit cell analyses, Eng. Fract. Mech., 190 (2017) 1, 299–318, doi:10.1016/j.engfracmech.2017.12.023
18 I. Barsoum, J. Faleskog, Micromechanical analysis on the influence of the Lode parameter on void growth and coalescence, Int. J. Solids Struct., 48 (2011) 6, 925–938, doi:10.1016/j.ijsolstr.2010.11.028
19 W. Lode, Versuche über den Einfluß der mittleren Hauptspannung auf das Fließen der Metalle Eisen, Kupfer und Nickel, Zeitschrift Für Physik A Hadrons & Nuclei, 36 (1926) 11, 913–939, doi:10.1007/ BF01400222
20 A. Chbihi, P. O. Bouchard, M. Bernacki, Influence of Lode angle on modelling of void closure in hot metal forming processes, Finite Elem. Anal. Des., 126 (2017), 13–25, doi:10.1016/j.finel.2016. 11.008
21 V. Tvergaard, A. Needleman, Analysis of the cup-cone fracture in a round tensile bar, Acta Metall., 32 (1984), 157–69, doi:10.1016/ 0001-¬6160(84)90213-X
22 B. Budiansky, J. W. Hutchinson, S. Slutsky, Void growth and collapse in viscous solids, Mechanics of Solids, The Rodney Hill 60th Anniversary Volume, (1982), 13–45, doi:10.1016/B978-0-08-¬025443-¬2.50009-4
Published
2021-03-16
How to Cite
1.
Chen F, Zhao X, Chen H, Ren J. VOID-CLOSURE BEHAVIOR AND A NEW VOID-EVOLUTION MODEL FOR VARIOUS STRESS STATES. MatTech [Internet]. 2021Mar.16 [cited 2026Aug.10];55(1):105-13. Available from: https://mater-tehnol.si/index.php/MatTech/article/view/99
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