Ductile crack propagation by plastic collapse of the intervoid ligaments
Source abstract
Abstract
In the present study ductile crack initiation and propagation is investigated by means of a micro-mechanical model under small-scale yielding conditions. Voids are resolved discretely in the fracture process zone where steep gradients occur during the loading history and are taken into accounted by a homogenized porous plasticity law elsewhere. The size of the region of discrete voids is not set a priori but is determined consistently. The results show that effective crack growth occurs by plastic collapse, i.e. purely geometric softening of the intervoid ligaments without incorporating material separation. Due to this mechanism a limit load exists coinciding with the maximum fracture toughness. In addition, it turns out that the shielding due to the growth of voids around the crack plane has a considerable influence on the computed R-curves compared to models neglecting this effect. Depending on the void arrangement a diffuse softening zone or even crack branching is observed. A comparison with experimental data from literature indicates that plastic collapse and the formation of diffuse zones of void growth are realistic mechanisms of ductile crack propagation.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Metal Forming Simulation Techniques · Microstructure and mechanical properties · Metallurgy and Material Forming
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (38)
Show source-provided references
1. Aoki S, Kishimoto K, Takeya A, Sakata M (1984) Effects of microvoids on crack blunting and initiation in ductile materials. Int J Fract 24(4): 267–27810.1007/BF00020741 ↗
2. Aravas N, McMeeking RM (1985a) Finite element analysis of void growth near a blunting crack tip. J Mech Phys Solids 33(1): 25–4910.1016/0022-5096(85)90020-1 ↗
3. Aravas N, McMeeking RM (1985b) Microvoid growth and failure in the ligament between a hole and a blunt crack tip. Int J Fract 29(1): 21–3810.1007/BF00020674 ↗
4. Baaser H, Gross D (2003) Analysis of void growth in a ductile material in front of a crack tip. Comput Mater Sci 26: 28–3510.1016/S0927-0256(02)00389-0 ↗
5. Baer W (1996) Bruchmechanische Bewertung ferritischer Gußeisenwerkstoffe sowie artgleicher Schweißverbindungen bei statischer Beanspruchung. Dissertation, TU Bergakademie Freiberg
6. Baer W, Pusch G (1995) Investigation of fracture mechanical behaviour of nodular cast iron and welded joints with parent-material-like weld metal. In: Reuter WG, Underwood JH, Newman JC (eds) Fracture mechanics. ASTM STP, Philadelphia, No 1256 in ASTM STP, pp. 361–375
7. Benzerga AA, Leblond JB (2010) Ductile fracture by void growth to coalescence. Adv Appl Mech 44: 169–30510.1016/S0065-2156(10)44003-X ↗
8. Chew H, Guo T, Cheng L (2007) Pressure-sensitive ductile layers—I. Modeling the growth of extensive damage. Int J Solids Struct 44(7–8): 2553–257010.1016/j.ijsolstr.2006.08.005 ↗
9. Dahlberg M (2004) Fatigue crack propagation in nodular graphite cast iron. Int J Cast Metal Res 17(1): 29–3710.1179/136404604225012398 ↗
10. Dong M, Prioul C, François D (1997) Damage effect on the fracture toughness of nodular cast iron: part-II. Damage zone characterization ahead of a crack tip. Metall Mater Trans A 28(11): 2255–226210.1007/s11661-997-0183-6 ↗
11. Gao X, Wang T, Kim J (2005) On ductile fracture initiation toughness: effects of void volume fraction, void shape and void distribution. Int J Solids Struct 42(18-19): 5097–511710.1016/j.ijsolstr.2005.02.028 ↗
12. Gross D, Seelig T (2006) Fracture mechanics—with an introduction to micromechanics. Springer, Berlin
13. Gu I (2000) Finite element analyses of deformation around holes near a crack tip and their implications to the J-resistance curve. Fatigue Fract Eng M 23(11): 943–95210.1046/j.1460-2695.2000.00334.x ↗
14. Gurson AL (1977) Continuum theory of ductile rupture by void nucleation and growth: part I—yield criteria and flow rules for porous ductile media. J Eng Mater-T Asme 99(1): 2–1510.1115/1.3443401 ↗
15. Hoffmann M (2009) Charakterisierung des Rissausbreitungsverhaltens in ferritischen Gusseisenwerkstoffen EN-GJS-400-18-LT unter konstanten und variablen Lastamplituden. Master thesis, TU Bergakademie Freiberg
16. Hom CL, McMeeking RM (1989) Three-dimensional void growth before a blunting crack tip. J Mech Phys Solids 37(3): 395–41510.1016/0022-5096(89)90006-9 ↗
17. Kim J, Gao X, Srivatsan TS (2003) Modeling of crack growth in ductile solids: a three-dimensional analysis. Int J Solids Struct 40(26): 7357–737410.1016/j.ijsolstr.2003.08.022 ↗
18. Kuna M, Sun D (1996) Three-dimensional cell model analyses of void growth in ductile materials. Int J Fract 81(3): 235–25810.1007/BF00039573 ↗
19. McMeeking RM (1977) Finite deformation analysis of crack-tip opening in elastic-plastic materials and implications for fracture. J Mech Phys Solids 25(5): 357–38110.1016/0022-5096(77)90003-5 ↗
20. Mostafavi M, Smith D, Pavier M (2011) A micromechanical fracture criterion accounting for in-plane and out-of-plane constraint. Comput Mater Sci 50(10): 2759–277010.1016/j.commatsci.2011.04.023 ↗
21. Needleman A, Tvergaard V (1987) An analysis of ductile rupture modes at a crack tip. J Mech Phys Solids 35(2): 151–18310.1016/0022-5096(87)90034-2 ↗
22. Niordson CF, Tvergaard V (2006) Size effects on cavitation instabilities. J Appl Mech 73(2): 246–25310.1115/1.2074747 ↗
23. Pardoen T, Hutchinson J (2003) Micromechanics-based model for trends in toughness of ductile metals. Acta Mater 51(1): 133–14810.1016/S1359-6454(02)00386-5 ↗
24. Petti JP, Dodds RH Jr (2005) Ductile tearing and discrete void effects on cleavage fracture under small-scale yielding conditions. Int J Solids Struct 42(13): 3655–367610.1016/j.ijsolstr.2004.11.015 ↗
25. Rehmer B (1992) Bruchmechanische Bewertung ferritischer Gußeisenwerkstoffe mit Kugel- und Vermiculargraphit in Abhängigkeit von Beanspruchungsgeschwindigkeit und Temperatur. Dissertation, TU Bergakademie Freiberg
26. Rice JR, Johnson MA (1970) The role of large crack tip geometry changes in plane strain fracture. In: Kanninen MF (eds) Inelastic behavior of solids. McGraw-Hill, NY, pp 641–672
27. Salzbrenner R (1987) Fracture toughness behaviour of ferritic ductile cast iron. J Mater Sci 22: 2135–214710.1007/BF01132950 ↗
28. Seidenfuss M, Samal M, 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 ↗
29. Steglich D, Brocks W (1998) Micromechanical modelling of damage and fracture of ductile materials. Fatigue Fract Eng M 21(10): 1175–118810.1046/j.1460-2695.1998.00078.x ↗
30. Tian R, Chan S, Tang S, Kopacz AM, Wang JS, Jou HJ, Siad L, Lindgren LE, Olson GB, Liu WK (2010) A multiresolution continuum simulation of the ductile fracture process. J Mech Phys Solids 58(10): 1681–170010.1016/j.jmps.2010.07.002 ↗
31. Tvergaard V (1981) Influence of voids on shear band instabilities under plane strain conditions. Int J Fract 17(4): 389–40710.1007/BF00036191 ↗
32. Tvergaard V (1982) On localization in ductile materials containing spherical voids. Int J Fract 18(4): 237–25210.1007/BF00015686 ↗
33. Tvergaard V (1988) 3D-analysis of localization failure in a ductile material containing two size-scales of spherical particles. Eng Fract Mech 31(3): 421–43610.1016/0013-7944(88)90085-9 ↗
34. Tvergaard V (2007) Discrete modelling of ductile crack growth by void growth to coalescence. Int J Fract 148(1): 1–1210.1007/s10704-007-9172-4 ↗
35. Tvergaard V, Hutchinson JW (2002) Two mechanisms of ductile fracture: void by void growth versus multiple void interaction. Int J Solids Struct 39(13–14): 3581–359710.1016/S0020-7683(02)00168-3 ↗
36. Tvergaard V, Needleman A (2006) Three dimensional microstructural effects on plane strain ductile crack growth. Int J Solids Struct 43(20): 6165–617910.1016/j.ijsolstr.2005.05.057 ↗
37. Tvergaard V, Niordson C (2008) Size effects at a crack-tip interacting with a number of voids. Philos Mag 88(30–32): 3827–384010.1080/14786430802225540 ↗
38. Zybell L, Chaves H, Kuna M, Mottitschka T, Pusch G, Biermann H (2012) Optical in situ investigations of overload effects during fatigue crack growth in nodular cast iron. Eng Fract Mech. doi: 10.1016/j.engfracmech.2012.01.006 (in press)10.1016/j.engfracmech.2012.01.006 ↗