Abstract
The paper discusses an anisotropic continuum damage and fracture model for ductile metals. The phenomenological approach takes into account the effect of stress state on damage and failure criteria. Different branches of the criteria are considered corresponding to various microscopic mechanisms depending on stress intensity, stress triaxiality and the Lode parameter. To validate the proposed framework different experiments with biaxially loaded specimens and corresponding numerical simulations have been performed. Digital image correlation technique has been used to analyze current strain states in critical regions of the specimens.
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Bai Y, Wierzbicki T (2008) A new model of metal plasticity and fracture with pressure and Lode dependence. Int J Plast 24:1071–1096
Bao Y, Wierzbicki T (2004) On the fracture locus in the equivalent strain and stress triaxiality space. Int J Mech Sci 46:81–98
Bao Y, Wierzbicki T (2005) On the cut-off value of negative triaxiality for fracture. Eng Fract Mech 72:1049–1069
Barsoum I, Faleskog J (2011) Micromechanical analysis on the influence of the lode parameter on void growth and coalescence. Int J Solids Struct 48:925–938
Becker R, Needleman A, Richmond O, Tvergaard V (1988) Void growth and failure in notched bars. J Mech Phys Solids 36:317–351
Bonora N, Gentile D, Pirondi A, Newaz G (2005) Ductile damage evolution under triaxial state of stress: theory and experiments. Int J Plast 21:981–1007
Brocks W, Sun DZ, Hönig A (1995) Verification of the transferability of micromechanical parameters by cell model calculations with visco-plastic material. Int J Plast 11:971–989
Brünig M (2003) An anisotropic ductile damage model based on irreversible thermodynamics. Int J Plast 19:1679–1713
Brünig M, Albrecht D, Gerke S (2011) Modeling of ductile damage and fracture behavior based on different micro-mechanisms. Int J Damage Mech 20:558–577
Brünig M, Albrecht D, Gerke S (2011) Numerical analyses of stress-triaxiality-dependent inelastic deformation behavior of aluminum alloys. Int J Damage Mech 20:299–317
Brünig M, Brenner D, Gerke S (2015) Modeling of stress-state-dependent damage and failure of ductile metals. Appl Mech Mater 784:35–42
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
Brünig M, Chyra O, Albrecht D, Driemeier L, Alves M (2008) A ductile damage criterion at various stress triaxialities. Int J Plast 24:1731–1755
Brünig M, Gerke S, Brenner D (2015) Experiments and numerical simulations on stress-state-dependence of ductile damage criteria. In: Altenbach H, Brünig M (eds) Inelastic behavior of materials and structures under monotonic and cyclic loading, advanced structured materials. Springer, Berlin Heidelberg, pp 17–34
Brünig M, Gerke S, Hagenbrock V (2013) Micro-mechanical studies on the effect of the stress triaxiality and the Lode parameter on ductile damage. Int J Plast 50:49–65
Brünig M, Gerke S, Hagenbrock V (2014) Stress-state-dependence of damage strain rate tensors caused by growth and coalescence of micro-defects. Int J Plast 63:49–63
Chaboche J (1988) Continuum damage mechanics. Part I: general concepts. J Appl Mech 55:59–64
Chaboche J (1988) Continuum damage mechanics. Part II: damage growth, crack initiation, and crack growth. J Appl Mech 55:65–72
Chew H, Guo T, Cheng L (2006) Effects of pressure-sensitivity and plastic dilatancy on void growth and interaction. Int J Solids Struct 43:6380–6397
Demmerle S, Boehler J (1993) Optimal design of biaxial tensile cruciform specimens. J Mech Phys Solids 41:143–181
Driemeier L, Brünig M, Micheli G, Alves M (2010) Experiments on stress-triaxiality dependence of material behavior of aluminum alloys. Mech Mater 42:207–217
Driemeier L, Moura R, Machado I, Alves M (2015) A bifailure specimen for accessing failure criteria performance. Int J Plast 71:62–86
Dunand M, Mohr D (2011) On the predictive capabilities of the shear modified Gurson and the modified Mohr–Coulomb fracture models over a wide range of stress triaxialities and Lode angles. J Mech Phys Solids 59:1374–1394
Gao X, Kim J (2006) Modeling of ductile fracture: significance of void coalescence. Int J Solids Struct 43:6277–6293
Gao X, Zhang G, Roe C (2010) A study on the effect of the stress state on ductile fracture. Int J Damage Mech 19:75–94
Johnson GR, Cook WH (1985) Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures. Eng Fract Mech 21:31–48
Khan A, Liu H (2012) A new appproach for ductile fracture prediction on Al 2024–T351 alloy. Int J Plast 35:1–12
Kim J, Gao X, Srivatsan T (2003) Modeling of crack growth in ductile solids: a three-dimensional analysis. Int J Solids Struct 40:7357–7374
Kulawinski D, Nagel K, Henkel S, Hübner P, Fischer H, Kuna M, Biermann H (2011) Characterization of stress-strain behavior of a cast trip steel under different biaxial planar load ratios. Eng Fract Mech 78:1684–1695
Kuna M, Sun D (1996) Three-dimensional cell model analyses of void growth in ductile materials. Int J Fract 81:235–258
Kuwabara T (2007) Advances in experiments on metal sheet and tubes in support of constitutive modeling and forming simulations. Int J Plast 23:385–419
Kweon S (2012) Damage at negative triaxiality. Eur J Mech A Solids 31:203–212
Lemaitre J (1996) A course on damage mechanics. Springer, Berlin Heidelberg
Lou Y, Huh H (2013) Extension of a shear controlled ductile fracture model considering the stress triaxiality and Lode parameter. Int J Solids Struct 50:447–455
Lou Y, Yoon J, Huh H (2014) Modeling of shear ductile fracture considering a changeable cut-off value. Int J Plast 54:56–80
Mohr D, Henn S (2007) Calibration of stress-triaxiality dependent crack formation criteria: a new hybrid experimental-numerical method. Exp Mech 47:805–820
Müller W, Pöhland K (1996) New experiments for determining yield loci of sheet metal. Mater Process Technol 60:643–648
Needleman A, Kushner A (1990) An analysis of void distribution effects on plastic flow in porous solids. Eur J Mech A Solids 9:193–206
Nielsen K, Dahl J, Tvergaard V (2012) Collapse and coalescence of spherical voids subject to intense shearing: studied in full 3d. Int J Fract 177:97–108
Scheyvaerts F, Onck P, Tekoǧlu C, Pardoen T (2011) The growth and coalescence of ellipsoidal voids in plane strain under combined shear and tension. J Mech Phys Solids 59:373–397
Tvergaard V (1990) Material failure by void growth to coalescence. Adv Appl Mech 27:83–151
Voyiadjis G, Kattan P (1999) Advances in damage mechanics: metals and metal matrix composites. Elsevier, Amsterdam
Zhang K, Bai J, Francois D (2001) Numerical analysis of the influence of the Lode parameter on void growth. Int J Solids Struct 38:5847–5856
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Brünig, M., Gerke, S. & Schmidt, M. Biaxial experiments and phenomenological modeling of stress-state-dependent ductile damage and fracture. Int J Fract 200, 63–76 (2016). https://doi.org/10.1007/s10704-016-0080-3
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DOI: https://doi.org/10.1007/s10704-016-0080-3