Application of extended Mohr–Coulomb criterion to ductile fracture
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Additional excerpts
...It is of note that the failure behavior at low triaxiality levels has received renewed interest due to the fact that the GTN model does not perform well in this regime, (Bao and Wierzbicki [7], Bai and Wierzbicki [5, 6], Halton et al. [20])....
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...It is of note that the failure behavior at low triaxiality levels has received renewed interest due to the fact that the GTN model does not perform well in this regime, (Bao and Wierzbicki [7], Bai and Wierzbicki [5, 6], Halton et al....
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369 citations
Additional excerpts
...The derivation of the so-called modified Mohr–Coulomb (MMC) model (Bai and Wierzbicki, 2010) is mathematically similar to the HC model, but it is usually used as inconsistent model....
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...It is worth noting that without any shear localization analysis results at their disposal, Stoughton and Yoon (2011) and Bai and Wierzbicki (2010) had already correctly hypothesized on the existence of a Mohr– Coulomb type of criterion for predicting the onset of ductile fracture....
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...(24) even if g½g; h = 1 is assumed to model strain hardening (e.g. Bai and Wierzbicki (2010), Luo and Wierzbicki (2010), Beese et al. (2010), Dunand and Mohr, 2011a,b)....
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...(12), Bai and Wierzbicki (2010) made use of a rather unconventional stress triaxiality and Lode angle dependent hardening rule k ¼ g½g; h h½ ep ; ð22Þ to transform the Mohr–Coulomb criterion from stress space r ¼ rf ½g; h ; ð23Þ to strain space, eprf ¼ h 1 rf ½g; h g½g; h : ð24Þ For most…...
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...Recent examples are the modified Mohr– Coulomb model proposed by Bai and Wierzbicki (2010) and a micro-mechanism inspired damage indicator model proposed by Lou et al. (2012) and Lou and Huh (2013)....
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References
4,744 citations
"Application of extended Mohr–Coulom..." refers background or result in this paper
...1969). This is also in accord with the empirical results of Hancock and Mackenzie (1976), Johnson and Cook (1985) ....
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...In parallel with the “physically based” models of ductile fracture, a number of empirical fracture models have earned a permanent place in the literature (Cockcroft and Latham 1968; Hancock and Mackenzie 1976; Wilkins et al. 1980; Johnson and Cook 1985; Bao and Wierzbicki 2004; Wierzbicki and Xue 2005; Bai and Wierzbicki 2008)....
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...on ductile fracture (McClintock 1968; Rice and Tracey 1969; Hancock and Mackenzie 1976; Mackenzie et al. 1977; Johnson and Cook 1985; Bao 2003)....
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4,156 citations
3,658 citations
"Application of extended Mohr–Coulom..." refers background in this paper
...It should be noted that the orientation of the fracture plane depends only on the friction coefficient c1, while the onset of fracture is controlled by both c1 and c2. In order to transform the Mohr–Coulomb criterion to the space of (¯ e f ,η ,¯ θ) , one needs to express principal stresses in terms of σm, η and θ . Similar transformation equations can be found, for example, in Malvern (1969) ....
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...One can see that that the normalized third deviatoric stress invariant can be expressed in terms of the Lode angle θ (see Malvern (1969) , Xu and Liu (1995), ABAQUS 2005; the derivation is also summarized in Sect....
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2,962 citations
"Application of extended Mohr–Coulom..." refers background in this paper
...The mixed stress–strain formulation of a fracture criterion is justifiable because, well into the plastic range, the resolution of strains is much larger than stresses, as explained in Fig. 1. Another feature of the Gurson-Tvergaard-Needleman (GTN) model ( Tvergaard and Needleman 1984 ) is that it describes well the predominate tensile fracture, characterized by relatively high stress triaxiality, but fails to predict shear fracture....
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...Due to fundamental work by McClintock (1968), Rice and Tracey (1969), Gurson (1975), Tvergaard and Needleman (1984) , it was determined that ductile fracture is mostly affected by the hydrostatic pressure....
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2,452 citations