Analysis of damage and fracture behavior in ductile metal sheets undergoing compression and shear preloading
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Abstract
Abstract The present paper comprises the experimental and numerical analysis of damage and fracture behavior of ductile metals under non-proportional loading with compression and shear preloading. For this purpose, biaxial experiments with the H-specimen using a pneumatic downholder for compression loading followed by failure under a tension stress state and corresponding numerical simulations are performed and analyzed. A thermodynamically consistent anisotropic continuum model is presented. It takes the effects of micromechanical damage mechanisms on the macro scale behavior as a motivation for a phenomenological description of damage behavior as a function of stress state. The experimental findings are compared with the results of tests with proportional load paths and corresponding numerical simulations. Thereto, strain fields of the critical areas of the specimens are analyzed by means of digital image correlation (DIC) technique. Compression and shear preloading can lead to significantly reduced ductility of the material with initiation of failure processes in the small damage strain range. Evolution of numerically predicted plastic and damage equivalent strains illustrates their stress state dependence. The numerical results are also confirmed by images of fracture surfaces taken by scanning electron microscopy (SEM). This experimental-numerical methodology is therefore an efficient tool to develop and validate general modeling approaches, and it is characterized by almost arbitrarily definable load paths with changes in stress states occurring in forming processes.
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OpenAlex topics: Metal Forming Simulation Techniques · Metallurgy and Material Forming · Microstructure and mechanical properties
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References (44)
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1. Brocks W, Sun D-Z, Hönig A (1995) Verification of the transferability of micromechanical parameters by cell model calculations with visco-plastic materials. Int J Plast 11 (8):971–989. https://doi.org/10.1016/S0749-6419(95)00039-910.1016/S0749-6419(95)00039-9 ↗
2. Chew HB, Guo TF, Cheng L (2006) Effects of pressure-sensitivity and plastic dilatancy on void growth and interaction. Int J Solids Struct 43(21):6380–6397. https://doi.org/10.1016/j.ijsolstr.2005.10.01410.1016/j.ijsolstr.2005.10.014 ↗
3. Kim J, Gao X, Srivatsan TS (2003) Modeling of crack growth in ductile solids: a three-dimensional analysis. Int J Solids Struct 40(26):7357–7374. https://doi.org/10.1016/j.ijsolstr.2003.08.02210.1016/j.ijsolstr.2003.08.022 ↗
4. Brünig M, Hagenbrock V, Gerke S (2018) Macroscopic damage laws based on analysis of microscopic unit cells. Z Angew Math Mech 98(2):181–194. https://doi.org/10.1002/zamm.20170018810.1002/zamm.201700188 ↗
5. Gao X, Zhang G, Roe CA (2010) Study on the effect of the stress state on ductile fracture. Int J Damage Mech 19(1):75–94. https://doi.org/10.1177/105678950910191710.1177/1056789509101917 ↗
6. Bai Y, Wierzbicki TA (2008) New model of metal plasticity and fracture with pressure and Lode dependence. Int J Plast 24(6):1071–1096. https://doi.org/10.1016/j.ijplas.2007.09.00410.1016/j.ijplas.2007.09.004 ↗
7. Driemeier L, Brünig M, Micheli G, Alves M (2010) Experiments on stress-triaxiality dependence of material behavior of aluminum alloys. Mech Mater 42(2):207–217. https://doi.org/10.1016/j.mechmat.2009.11.01210.1016/j.mechmat.2009.11.012 ↗
8. Bonora N, Gentile D, Pirondi A, Newaz G (2005) Ductile damage evolution under triaxial state of stress: theory and experiments. Int J Plast 21(5):981–1007. https://doi.org/10.1016/j.ijplas.2004.06.00310.1016/j.ijplas.2004.06.003 ↗
9. Miyauchi K (1984) Proposal of a planar simple shear test in sheet metals. Sci Pap Inst Phys Chem Res 78(3):27–40
10. Arcan M, Hashin Z, Voloshin A (1978) Method to produce uniform plane-stress states with applications to fiber-reinforced materials. Exp Mech 18(4):141–146. https://doi.org/10.1007/BF0232414610.1007/BF02324146 ↗
11. Dunand M, Mohr D (2011) Optimized butterfly specimen for the fracture testing of sheet materials under combined normal and shear loading. Eng Fract Mech 78(17):2919–2934. https://doi.org/10.1016/j.engfracmech.2011.08.00810.1016/j.engfracmech.2011.08.008 ↗
12. Gerke S, Adulyasak P, Brünig M (2017) New biaxially loaded specimens for the analysis of damage and fracture in sheet metals. Int J Solids Struct 110-111:209–218. https://doi.org/10.1016/j.ijsolstr.2017.01.02710.1016/j.ijsolstr.2017.01.027 ↗
13. Kulawinski D, et al. (2011) Characterization of stress–strain behavior of a cast TRIP steel under different biaxial planar load ratios. Eng Fract Mech 78(8):1684–1695. https://doi.org/10.1016/j.engfracmech.2011.02.02110.1016/j.engfracmech.2011.02.021 ↗
14. Brünig M, Brenner D, Gerke S (2015) Stress state dependence of ductile damage and fracture behavior: Experiments and numerical simulations. Eng Fract Mech 141:152–169. https://doi.org/10.1016/j.engfracmech.2015.05.02210.1016/j.engfracmech.2015.05.022 ↗
15. Brünig M, Zistl M, Gerke S (2019) In modeling of damage of ductile materials. In: Altenbach H, Öchsner A (eds) State of the Art and Future Trends in Material Modeling, vol 100. Springer International Publishing, Cham, pp 49–7810.1007/978-3-030-30355-6_3 ↗
16. Roth CC, Mohr D (2016) Ductile fracture experiments with locally proportional loading histories. Int J Plast 79:328–354. https://doi.org/10.1016/j.ijplas.2015.08.00410.1016/j.ijplas.2015.08.004 ↗
17. Hartmann S, Gilbert RR, Sguazzo C (2018) Basic studies in biaxial tensile tests. GAMM-Mitt 41(1):1–14. https://doi.org/10.1002/gamm.20180000410.1002/gamm.201800004 ↗
18. Boger RK, Wagoner RH, Barlat F, Lee MG, Chung K (2005) Continuous, large strain, tension/compression testing of sheet material. Int J Plast 21(12):2319–2343. https://doi.org/10.1016/j.ijplas.2004.12.00210.1016/j.ijplas.2004.12.002 ↗
19. Steglich D, Tian X, Bohlen J, Kuwabara T (2014) Mechanical testing of thin sheet magnesium alloys in biaxial tension and uniaxial compression. Exp Mech 54(7):1247–1258. https://doi.org/10.1007/s11340-014-9892-010.1007/s11340-014-9892-0 ↗
20. Zaplatić A, Tomičević Z, Čakmak D, Hild F (2022) Improvement of the arcan setup for the investigation of thin sheet behavior under shear loading. Exp Mech 62(2):313–332. https://doi.org/10.1007/s11340-021-00762-110.1007/s11340-021-00762-1 ↗
21. Tarigopula V, Hopperstad OS, Langseth M, Clausen AH (2008) Elastic-plastic behaviour of dual-phase, high-strength steel under strain-path changes. Eur J Mech A Solids 27(5):764–782. https://doi.org/10.1016/j.euromechsol.2008.01.00210.1016/j.euromechsol.2008.01.002 ↗
22. Basu S, Benzerga AA (2015) On the path-dependence of the fracture locus in ductile materials: Experiments. Int J Solids Struct 71:79–90. https://doi.org/10.1016/j.ijsolstr.2015.06.00310.1016/j.ijsolstr.2015.06.003 ↗
23. Gardey B, Bouvier S, Richard V, Texture B (2005) Dislocation structures observation in a dual-phase steel under strain-path changes at large deformation. Mater Sci Eng Bacroix A 400-401:136–141. https://doi.org/10.1016/j.msea.2005.01.06610.1016/j.msea.2005.01.066 ↗
24. Cortese L, Nalli F, Rossi MA (2016) Nonlinear model for ductile damage accumulation under multiaxial non-proportional loading conditions. Int J Plast 85:77–92. https://doi.org/10.1016/j.ijplas.2016.07.00310.1016/j.ijplas.2016.07.003 ↗
25. van Riel M (2009) Strain path dependency in sheet metal: Experiments and models. Ph.D. thesis, University of Twente
26. Fincato R., Tsutsumi S. (2019) Numerical modeling of the evolution of ductile damage under proportional and non-proportional loading. Int J Solids Struct 160:247–264. https://doi.org/10.1016/j.ijsolstr.2018.10.02810.1016/j.ijsolstr.2018.10.028 ↗
27. Zhuang X, Wang T, Zhu X, Calibration Z (2016) Application of ductile fracture criterion under non-proportional loading condition. Eng Fract Zhao Mech 165:39–56. https://doi.org/10.1016/j.engfracmech.2016.08.02110.1016/j.engfracmech.2016.08.021 ↗
28. Baral M, Korkolis YP (2021) Ductile fracture under proportional and non-proportional multiaxial loading. Int J Solids Struct 210-211:88–108. https://doi.org/10.1016/j.ijsolstr.2020.11.01110.1016/j.ijsolstr.2020.11.011 ↗
29. Korkolis YP, Kyriakides S (2009) Path-dependent failure of inflated aluminum tubes. Int J Plast 25(11):2059–2080. https://doi.org/10.1016/j.ijplas.2008.12.01610.1016/j.ijplas.2008.12.016 ↗
30. van Riel M, van den Boogaard AH, Huetink H, Juster N, Rosochowski A (eds) (2006) Non-proportional tension-shear experiments in a biaxial test facility. In: Juster N, Rosochowski A
31. (ed) ESAFORM 2006, Publishing House AKAPIT, Austria, p 323-326
32. Wang J, Chow CL (1989) Mixed mode ductile fracture studies with nonproportional loading based on continuum damage mechanics. J Eng Mater Technol 111(2):204–209. https://doi.org/10.1115/1.322645510.1115/1.3226455 ↗
33. Chow CL, Lu TJ (1992) An analytical and experimental study of mixed-mode ductile fracture under nonproportional loading. Int J Damage Mech 1 (2):191–236. https://doi.org/10.1177/10567895920010020310.1177/105678959200100203 ↗
34. Brünig M, Gerke S, Zistl M (2019) Experiments and numerical simulations with the H-specimen on damage and fracture of ductile metals under non-proportional loading paths. Eng Fract Mech 217:106531. https://doi.org/10.1016/j.engfracmech.2019.10653110.1016/j.engfracmech.2019.106531 ↗
35. 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 163:157–169. https://doi.org/10.1016/j.ijsolstr.2019.01.00710.1016/j.ijsolstr.2019.01.007 ↗
36. Brünig M, Zistl M, Gerke S (2020) Biaxial experiments on characterization of stress-state-dependent damage in ductile metals. Prod Eng 14(1):87–93. https://doi.org/10.1007/s11740-019-00930-210.1007/s11740-019-00930-2 ↗
37. Brünig M, Zistl M, Gerke S (2021) Numerical analysis of experiments on damage and fracture behavior of differently preloaded aluminum alloy specimens. Metals 11(3):381. https://doi.org/10.3390/met1103038110.3390/met11030381 ↗
38. Gerke S, Zistl M, Brünig M (2020) Experiments and numerical simulation of damage and fracture of the X0-specimen under non-proportional loading paths. Eng Fract Mech 224:106795. https://doi.org/10.1016/j.engfracmech.2019.10679510.1016/j.engfracmech.2019.106795 ↗
39. Brünig M (2003) An anisotropic ductile damage model based on irreversible thermodynamics. Int J Plast 19(10):1679–1713. https://doi.org/10.1016/S0749-6419(02)00114-610.1016/S0749-6419(02)00114-6 ↗
40. Brünig M (2003) Numerical analysis of anisotropic ductile continuum damage. Comput Methods Appl Mech Eng 192(26-27):2949–2976. https://doi.org/10.1016/S0045-7825(03)00311-610.1016/S0045-7825(03)00311-6 ↗
41. Brünig M, Chyra O, Albrecht D, Driemeier L, Alves MA (2008) Ductile damage criterion at various stress triaxialities. Int J Plast 24(10):1731–1755. https://doi.org/10.1016/j.ijplas.2007.12.00110.1016/j.ijplas.2007.12.001 ↗
42. Bao Y, Wierzbicki T (2004) On fracture locus in the equivalent strain and stress triaxiality space. Int J Mech Sci 46(1):81–98. https://doi.org/10.1016/j.ijmecsci.2004.02.00610.1016/j.ijmecsci.2004.02.006 ↗
43. Achouri M, Germain G, Dal Santo P, Saidane D (2013) Experimental characterization and numerical modeling of micromechanical damage under different stress states. Mater Des 50:207–222. https://doi.org/10.1016/j.matdes.2013.02.07510.1016/j.matdes.2013.02.075 ↗
44. Voce E (1955) A practical strain-hardening function. Metall 51:219–226