Multiaxial ductile fracture criteria coupled with non-quadratic non-prismatic yield surface in the predictions for a naturally aged aluminium alloy
Source abstract
Abstract
The ductile fracture has been one of the most important topics in various branches, such as the automotive, maritime or energy industry. Many approaches have been developed under certain assumptions. The present work focuses on bringing together the microstructural- and phenomenological-based ductile fracture modelling under large plastic deformations, room temperature and quasi-static monotonic loading. The complex yield criterion dependent on three stress invariants with a deviatoric associated flow rule was coupled with several advanced multiaxial ductile fracture criteria. The models were calibrated for the 2024-T351 aluminium alloy and implemented within the commercial explicit finite element code of Abaqus. Two additional tests, which were not covered within the calibration procedure, were simulated to demonstrate good predictability of the onset of cracking and its propagation, modelled by the element deletion technique. It was a small punch test and a three-point bending test of a randomly notched bar.
Source: expertdata · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Metal Forming Simulation Techniques · Metallurgy and Material Forming · Microstructure and mechanical properties
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (77)
Show source-provided references
1. Andrade FXC, César de Sá JMA, Andrade Pires FM (2011) A ductile damage nonlocal model of integral-type at finite strains: formulation and numerical issues. Int J Damage Mech 20(4):515–55710.1177/1056789510386850 ↗
2. Bai Y, Wierzbicki T (2008) A new model of metal plasticity and fracture with pressure and Lode dependence. Int J Plast 24(6):1071–109610.1016/j.ijplas.2007.09.004 ↗
3. Bai Y, Wierzbicki T (2010) Application of extended Mohr-Coulomb criterion to ductile fracture. Int J Fract 161(1):1–2010.1007/s10704-009-9422-8 ↗
4. Bai Y, Bao Y, Wierzbicki T (2006) Fracture of prismatic aluminum tubes under reverse straining. Int J Impact Eng 32(5):671–70110.1016/j.ijimpeng.2005.05.002 ↗
5. Baltic S, Magnien J, Gänser H-P, Antretter T, Hammer R (2020) Coupled damage variable based on fracture locus: modelling and calibration. Int J Plast 126:10262310.1016/j.ijplas.2019.11.002 ↗
6. Bao Y, Wierzbicki T (2004) On fracture locus in the equivalent strain and stress triaxiality space. Int J Mech Sci 46(1):81–9810.1016/j.ijmecsci.2004.02.006 ↗
7. Basu S, Benzerga AA (2015) On the path-dependence of the fracture locus in ductile materials: experiments. Int J Solids Struct 71:79–9010.1016/j.ijsolstr.2015.06.003 ↗
8. Besson J (2010) Continuum models of ductile fracture: a review. Int J Damage Mech 19(1):3–5210.1177/1056789509103482 ↗
9. Brünig M (2002) Numerical analysis and elastic–plastic deformation behavior of anisotropically damaged solids. Int J Plast 18(9):1237–127010.1016/S0749-6419(01)00076-6 ↗
10. Brünig M, Koirala S, Gerke S (2022) Analysis of damage and failure in anisotropic ductile metals based on biaxial experiments with the H-Specimen. Exp Mech 62:183–19710.1007/s11340-021-00774-x ↗
11. Cerik BC, Lee K, Park S-J, Choung J (2019) Simulation of ship collision and grounding damage using Hosford-Coulomb fracture model for shell elements. Ocean Eng 173:415–43210.1016/j.oceaneng.2019.01.004 ↗
12. Chaboche J-L (1981) Continuous damage mechanics: a tool to describe phenomena before crack initiation. Nucl Eng Des 64(2):233–24710.1016/0029-5493(81)90007-8 ↗
13. Chow CL, Wang J (1987) An anisotropic theory of elasticity for continuum damage mechanics. Int J Fract 33:3–1610.1007/BF00034895 ↗
14. Cockroft MG, Latham DJ (1968) Ductility and the workability of metals. J Inst Metals 96:33–39
15. Cortese L, Nalli F, Rossi M (2016) A nonlinear model for ductile damage accumulation under multiaxial non-proportional loading conditions. Int J Plast 85:77–9210.1016/j.ijplas.2016.07.003 ↗
16. Derpenski L, Szusta J, Seweryn A (2018) Damage accumulation and ductile fracture modeling of notched specimens under biaxial loading at room temperature. Int J Solids Struct 134:1–1910.1016/j.ijsolstr.2017.10.028 ↗
17. Drucker DC, Prager W (1952) Soil mechanics and plastic analysis or limit design. Q J Mech Appl Math X(2):157–165
18. E3205 (2020) Standard test method for small punch testing of metallic materials. West Conshohocken: ASTM International
19. Erice B, Roth ChC, Mohr D (2018) Stress-state and strain-rate dependent ductile fracture of dual and complex phase steel. Mech Mater 116:11–3210.1016/j.mechmat.2017.07.020 ↗
20. Fincato R, Tsutsumi S (2019) Numerical modeling of the evolution of ductile damage under proportional and non-proportional loading. Int J Solids Struct 160:247–26410.1016/j.ijsolstr.2018.10.028 ↗
21. Gachet J-M, Delattre G, Bouchard P-O (2015) Improved fracture criterion to chain forming stage and in use mechanical strength computations of metallic parts—application to half-blanked components. J Mater Process Technol 216:260–27710.1016/j.jmatprotec.2014.09.006 ↗
22. Gao X, Zhang G, Reo Ch (2010) A study on the effect of the stress state on ductile fracture. Int J Damage Mech 19(1):75–9410.1177/1056789509101917 ↗
23. Gerke S, Zistl M, Bhardwaj A, Brünig M (2019) Experiments with the X0-specimen on the effect of non-proportional loading paths on damage and fracture mechanisms in aluminum alloys. Int J Solids Struct 163:157–16910.1016/j.ijsolstr.2019.01.007 ↗
24. Ghazali S, Algarni M, Bai Y, Choi Y (2020) A study on the plasticity and fracture of the AISI 4340 steel alloy under different loading conditions and considering heat-treatment effects. Int J Fract 225:69–8710.1007/s10704-020-00466-y ↗
25. Hartlen DC, Doman DA (2019) A constitutive model fitting methodology for ductile metals using cold upsetting tests and numeric optimization techniques. J Eng Mater Technol 141(1):01100810.1115/1.4040592 ↗
26. He T, Huo Y (2018) A new damage evolution model for cold forging of bearing steel-balls. Trans Indian Inst Met 71(5):1175–118310.1007/s12666-017-1253-0 ↗
27. Hu T, Talamini B, Stershic AJ, Tupek MR, Dolbow JE (2021) A variational phase-field model for ductile fracture with coalescence dissipation. Comput Mech 68:311–33510.1007/s00466-021-02033-1 ↗
28. Jung S-H, Bae G, Kim M, Lee J, Song J, Park N (2022) Effect of natural aging time on anisotropic plasticity and fracture limit of Al7075 alloy. Mater Today Commun 31:10355310.1016/j.mtcomm.2022.103553 ↗
29. Kachanov LM (1958) Rupture time under creep conditions. Izvestia Akademii Nauk SSSR, Otdelenie Tekhnicheskich Nauk 8:26–31 (in Russian)
30. Kattan PI, Voyiadjis GZ (2001) Decomposition of damage tensor in continuum damage mechanics. J Eng Mech 127(9):940–94410.1061/(ASCE)0733-9399(2001)127:9(940) ↗
31. Keim V, Paredes M, Nonn A, Münstermann S (2020) FSI-simulation of ductile fracture propagation and arrest in pipelines: comparison with existing data of full-scale burst tests. Int J Pressure Vessels Piping 182:10406710.1016/j.ijpvp.2020.104067 ↗
32. Khan AS, Liu H (2012) A new approach for ductile fracture prediction on Al 2024–T351 alloy. Int J Plast 35:1–1210.1016/j.ijplas.2012.01.003 ↗
33. Ko YK, Lee JS, Huh H, Kim HK, Park SH (2007) Prediction of fracture in hub-hole expanding process using a new ductile fracture criterion. J Mater Process Technol 187–188:358–36210.1016/j.jmatprotec.2006.11.071 ↗
34. Kroon M, Faleskog J (2013) Numerical implementation of a J2- and J3-dependent plasticity model based on a spectral decomposition of the stress deviator. Comput Mech 52(5):1059–107010.1007/s00466-013-0863-6 ↗
35. Kubík P, Šebek F, Petruška J (2018) Notched specimen under compression for ductile failure criteria. Mech Mater 125:94–10910.1016/j.mechmat.2018.07.004 ↗
36. Kubík P, Šebek F, Zapletal J, Petruška J, Návrat T (2019) Ductile failure predictions for the three-point bending test of a complex geometry made from aluminum alloy. J Eng Mater Technol 141(4):04101110.1115/1.4044477 ↗
37. Lee E-H, Choi H, Stoughton TB, Yoon JW (2019) Combined anisotropic and distortion hardening to describe directional response with Bauschinger effect. Int J Plast 122:73–8810.1016/j.ijplas.2019.07.007 ↗
38. Lemaitre J (1985) Coupled elasto-plasticity and damage constitutive equations. Comput Methods Appl Mech Eng 51:31–4910.1016/0045-7825(85)90026-X ↗
39. Lemaitre J, Dufailly J (1987) Damage measurements. Eng Fract Mech 28(5–6):643–66110.1016/0013-7944(87)90059-2 ↗
40. Li Y, Wierzbicki T (2010) Prediction of plane strain fracture of AHSS sheets with post-initiation softening. Int J Solids Struct 47(17):2316–232710.1016/j.ijsolstr.2010.04.028 ↗
41. Li X, Yang W, Xu D, Ju K, Chen J (2021) A new ductile fracture criterion considering both shear and tension mechanisms on void coalescence. Int J Damage Mech 30(3):374–39810.1177/1056789520962831 ↗
42. Lian J, Sharaf M, Archie F, Münstermann S (2013) A hybrid approach for modelling of plasticity and failure behaviour of advanced high-strength steel sheets. Int J Damage Mech 22(2):188–21810.1177/1056789512439319 ↗
43. Lin J, Hou Y, Min J, Tang H, Carsley JE, Stoughton TB (2020) Effect of constitutive model on springback prediction of MP980 and AA6022-T4. Int J Mater Form 13:1–1310.1007/s12289-018-01468-x ↗
44. List G, Sutter G, Bouthiche A (2012) Cutting temperature prediction in high speed machining by numerical modelling of chip formation and its dependence with crater wear. Int J Mach Tool Manufact 54–55:1–910.1016/j.ijmachtools.2011.11.009 ↗
45. Lou Y, Yoon JW (2017) Anisotropic ductile fracture criterion based on linear transformation. Int J Plast 93:3–2510.1016/j.ijplas.2017.04.008 ↗
46. Lou Y, Yoon JW, Huh H (2014) Modeling of shear ductile fracture considering a changeable cut-off value for stress triaxiality. Int J Plast 54:56–8010.1016/j.ijplas.2013.08.006 ↗
47. Lou Y, Chen L, Clausmeyer T, Eerman Tekkaya A, Yoon JW (2017) Modeling of ductile fracture from shear to balanced biaxial tension for sheet metals. Int J Solids Struct 112:169–18410.1016/j.ijsolstr.2016.11.034 ↗
48. Mu L, Jia Z, Ma Z, Shen F, Sun Y, Zang Y (2020) A theoretical prediction framework for the construction of a fracture forming limit curve accounting for fracture pattern transition. Int J Plast 129:10270610.1016/j.ijplas.2020.102706 ↗
49. Murakami S, Ohno N (1981) A continuum theory of creep and creep damage. In: Creep in structures. Berlin: Springer, pp. 422–444. ISBN: 978-3-642-81600-010.1007/978-3-642-81598-0_28 ↗
50. Papasidero J, Doquet V, Lepeer S (2014) Multiscale investigation of ductile fracture mechanisms and strain localization under shear loading in 2024–T351 aluminum alloy and 36NiCrMo16 steel. Mater Sci Eng A 610:203–21910.1016/j.msea.2014.05.032 ↗
51. Papasidero J, Doquet V, Mohr D (2015) Ductile fracture of aluminum 2024–T351 under proportional and non-proportional multi-axial loading: Bao-Wierzbicki results revisited. Int J Solids Struct 69–70:459–47410.1016/j.ijsolstr.2015.05.006 ↗
52. Paredes M, Sarzosa DFB, Savioli R, Wierzbicki T, Jeong DY, Tyrell DC (2018) Ductile tearing analysis of TC128 tank car steel under mode I loading condition. Theor Appl Fract Mech 96:658–67510.1016/j.tafmec.2017.10.006 ↗
53. Park N, Huh H, Yoon JW (2018) Anisotropic fracture forming limit diagram considering non-directionality of the equi-biaxial fracture strain. Int J Solids Struct 151:181–19410.1016/j.ijsolstr.2018.01.009 ↗
54. Park N, Stoughton TB, Yoon JW (2020) A new approach for fracture prediction considering general anisotropy of metal sheets. Int J Plast 124:199–22510.1016/j.ijplas.2019.08.011 ↗
55. Quach H, Kim J-J, Nguyen D-C, Kim Y-S (2020) Uncoupled ductile fracture criterion considering secondary void band behaviors for failure prediction in sheet metal forming. Int J Mech Sci 169:10529710.1016/j.ijmecsci.2019.105297 ↗
56. Roth ChC, Mohr D (2014) Effect of strain rate on ductile fracture initiation in advanced high strength steel sheets: experiments and modeling. Int J Plast 56:19–4410.1016/j.ijplas.2014.01.003 ↗
57. Roth ChC, Morgeneyer TF, Cheng Y, Helfen L, Mohr D (2018) Ductile damage mechanism under shear-dominated loading: in-situ tomography experiments on dual phase steel and localization analysis. Int J Plast 109:169–19210.1016/j.ijplas.2018.06.003 ↗
58. Scherer JM, Besson J, Forest S, Hure J, Tanguy B (2019) Strain gradient crystal plasticity with evolving length scale: application to voided irradiated materials. Eur J Mech A Solids 77:10376810.1016/j.euromechsol.2019.04.003 ↗
59. Seidenfuss M, Samal MK, Roos E (2011) On critical assessment of the use of local and nonlocal damage models for prediction of ductile crack growth and crack path in various loading and boundary conditions. Int J Solids Struct 48(24):3365–338110.1016/j.ijsolstr.2011.08.006 ↗
60. Seidt JD, Gilat A (2013) Plastic deformation of 2024–T351 aluminum plate over a wide range of loading conditions. Int J Solids Struct 50(10):1781–179010.1016/j.ijsolstr.2013.02.006 ↗
61. Šebek F, Kubík P, Hůlka J, Petruška J (2016) Strain hardening exponent role in phenomenological ductile fracture criteria. Eur J Mech A Solids 57:149–16410.1016/j.euromechsol.2015.12.006 ↗
62. Šebek F, Petruška J, Kubík P (2018) Lode dependent plasticity coupled with nonlinear damage accumulation for ductile fracture of aluminium alloy. Mater Des 137:90–10710.1016/j.matdes.2017.09.064 ↗
63. Šebek F, Park N, Kubík P, Petruška J, Zapletal J (2019) Ductile fracture predictions in small punch testing of cold-rolled aluminium alloy. Eng Fract Mech 206:509–52510.1016/j.engfracmech.2018.11.045 ↗
64. Talemi R, Cooreman S, Mahgerefteh H, Martynov S, Brown S (2019) A fully coupled fluid-structure interaction simulation of three-dimensional dynamic ductile fracture in a steel pipeline. Theor Appl Fract Mech 101:224–23510.1016/j.tafmec.2019.02.005 ↗
65. Tancogne-Dejean T, Gorji MB, Pack K, Roth ChC (2019) The third Sandia fracture challenge: deterministic and probabilistic modeling of ductile fracture of additively-manufactured material. Int J Fract 218:209–22910.1007/s10704-019-00355-z ↗
66. Thomas N, Basu S, Benzerga AA (2016) On fracture loci of ductile materials under non-proportional loading. Int J Mech Sci 117:135–15110.1016/j.ijmecsci.2016.08.007 ↗
67. Tutyshkin N, Müller WH, Wille R, Zapara M (2014) Strain-induced damage of metals under large plastic deformation: theoretical framework and experiments. Int J Plast 59:133–15110.1016/j.ijplas.2014.03.011 ↗
68. Vershinin VV (2017) A correct form of Bai-Wierzbicki plasticity model and its extension for strain rate and temperature dependence. Int J Solids Struct 126–127:150–16210.1016/j.ijsolstr.2017.08.001 ↗
69. Vobejda R, Šebek F, Kubík P, Petruška J (2022) Solution to problems caused by associated non-quadratic yield functions with respect to the ductile fracture. Int J Plast 154:10330110.1016/j.ijplas.2022.103301 ↗
70. Wang B, Liu Z (2016) Evaluation on fracture locus of serrated chip generation with stress triaxiality in high speed machining of Ti6Al4V. Mater Des 98:68–7810.1016/j.matdes.2016.03.012 ↗
71. Wierzbicki T, Bao Y, Lee Y-W, Bai Y (2005) Calibration and evaluation of seven fracture models. Int J Mech Sci 47(4–5):719–74310.1016/j.ijmecsci.2005.03.003 ↗
72. Wilkins ML, Streit RD, Reaugh JE (1980) Cumulative-strain-damage model of ductile fracture: simulation and prediction of engineering fracture tests. Lawrence Livermore National Laboratory, Livermore10.2172/6628920 ↗
73. Xiao X, Mu Z, Pan H, Lou Y (2018) Effect of the Lode parameter in predicting shear cracking of 2024–T351 aluminum alloy Taylor rods. Int J Impact Eng 120:185–20110.1016/j.ijimpeng.2018.06.008 ↗
74. Xiao X, Pao H, Bai Y, Lou Y, Chen L (2019a) Application of the modified Mohr-Coulomb fracture criterion in predicting the ballistic resistance of 2024–T351 aluminum alloy plates impacted by blunt projectiles. Int J Impact Eng 123:26–3710.1016/j.ijimpeng.2018.09.015 ↗
75. Xiao X, Yaopei W, Vershinin VV, Chen L, Lou Y (2019b) Effect of Lode angle in predicting the ballistic resistance of Weldox 700 E steel plates struck by blunt projectiles. Int J Impact Eng 128:46–7110.1016/j.ijimpeng.2019.02.004 ↗
76. Xue L (2007) Damage accumulation and fracture initiation in uncracked ductile solids subject to triaxial loading. Int J Solids Struct 44(16):5163–518110.1016/j.ijsolstr.2006.12.026 ↗
77. Xue L (2008) Constitutive modeling of void shearing effect in ductile fracture of porous materials. Eng Fract Mech 75(11):3343–336610.1016/j.engfracmech.2007.07.022 ↗