Yield criterions of metal plasticity in diffierent stress states

Yang, Fengping; Qin, Sun; Hu, Wei

doi:10.1016/s1006-7191(08)60079-4

Cited by 14 publications

(11 citation statements)

References 10 publications

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“…Recent experimental results Yang et al 2009;Gao et al 2009) have shown that both the hydrostatic pressure and Lode angle parameter should be taken into account in metal plasticity. proposed a generalized hardening rule with pressure and Lode angle dependence in the form,…”

Section: Extended Plasticity Modelmentioning

confidence: 99%

Application of extended Mohr–Coulomb criterion to ductile fracture

2009

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The Mohr-Coulomb (M-C) fracture criterion is revisited with an objective of describing ductile fracture of isotropic crack-free solids. This criterion has been extensively used in rock and soil mechanics as it correctly accounts for the effects of hydrostatic pressure as well as the Lode angle parameter. It turns out that these two parameters, which are critical for characterizing fracture of geo-materials, also control fracture of ductile metals Xue 2007;Barsoum 2006;Wilkins et al. 1980). The local form of the M-C criterion is transformed/extended to the spherical coordinate system, where the axes are the equivalent strain to fractureε f , the stress triaxiality η, and the normalized Lode angle parameterθ . For a proportional loading, the fracture surface is shown to be an asymmetric function ofθ . A detailed parametric study is performed to demonstrate the effect of model parameters on the fracture locus. It was found that the M-C fracture locus predicts almost exactly the exponential decay of the material ductility with stress triaxiality, which is in accord with theoretical analysis of Rice and Tracey (1969) and the empirical equation of Hancock and Mackenzie (1976), Johnson and Cook

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Section: Extended Plasticity Modelmentioning

confidence: 99%

Application of extended Mohr–Coulomb criterion to ductile fracture

2009

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“…In particular, in Drucker (1949), Miller and McDowell (1992), Brunig et al (2000), Yang et al (2009), Hu and Wang (2005), Yoshida et al (2014), authors have supposed that J3 dependence could reflect the effect of increased slip activity and subsequent accelerated hardening that occurs in tension and compression compared to torsion.…”

Section: Introductionmentioning

confidence: 99%

“…What is sure, it is that the introduction of a J3 term in the yield function (Brunig et al, 2000;Yang et al, 2009) seems to accommodate this systematic discrepancyreducing approximations for most materials.…”

Section: Introductionmentioning

confidence: 99%

“…The contribution to yielding and flow stress of the third deviatoric stress invariant (J3) has also been investigated, and the opportunity of including it in the yield function has been discussed by the way of theoretical considerations, experimental tests, and micromechanical analyses (Drucker, 1949;Ohashi and Tokuda, 1973;Prager, 1945). In particular, in Drucker (1949), Miller and McDowell (1992), Brunig et al (2000), Yang et al (2009), Hu and Wang (2005), Yoshida et al (2014), authors have supposed that J3 dependence could reflect the effect of increased slip activity and subsequent accelerated hardening that occurs in tension and compression compared to torsion.…”

Section: Introductionmentioning

confidence: 99%

“…The efforts to provide a physical cause to the discrepancy between the Von Mises (i.e., J2) criterion and the experimental evidence are not so many in literature, and the role of J3 on microscopic mechanisms remains unclear. What is sure, it is that the introduction of a J3 term in the yield function (Brunig et al, 2000;Yang et al, 2009) seems to accommodate this systematic discrepancyreducing approximations for most materials.…”

Section: Introductionmentioning

confidence: 99%

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A J2–J3 approach in plastic and damage description of ductile materials

Cortese

Coppola

Campanelli

et al. 2015

International Journal of Damage Mechanics

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This paper illustrates a methodology to improve the description of the plastic behavior and the fracture prediction for ductile materials under complex loading conditions. To this purpose, a plasticity model and a damage estimation model are proposed. The former, differently from the classic J2 plasticity theory, takes into account the effect of the third deviatoric invariant on the plastic flow. The latter assumes that damage accumulation is governed by both stress triaxiality and deviatoric parameters, and takes advantage of the new plasticity formulation. The two models rely on the same theoretical foundation, where a specific function is invoked to describe the subsequent yield surfaces and the damage accumulation up to fracture. Both have been implemented into a commercial finite element code via user subroutines. Three steel alloys have been tested under very different stress states: tensile tests on smooth and round notched bars, plane strain tests, torsion tests, and combined tension-torsion tests on hollow and solid cylindrical bars have been executed. For the last ones, several tension-torsion-loading ratios have been applied. These kinds of tests allow to explore a wide domain of the governing parameters for both models. The experimental results from tensile and torsion tests are used to calibrate the proposed plasticity model and the damage model; combined tests are used for validation purposes. The experimental-numerical comparison of global quantities made by using a standard plasticity approach confirms the need for a more accurate plastic description in the large strain range. The proposed plasticity model is able to provide a very good match until fracture for all tests available. Moreover, the damage model has the potential to take into account the experimental evidence, predicting the fracture initiation accurately. In particular, its validation by using tension-torsion tests shows to be really significant. Keywords J2-J3 plasticity, large strains, I1-J2-J3 damage estimator, ductile fracture, multiaxial tests International Journal of Damage Mechanics 0(0) 1-23 ! The Author(s) 2015 Reprints and permissions: sagepub.co.uk/journalsPermissions.nav

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