A ductile damage criterion at various stress triaxialities

Brünig, Michael; Chyra, Oliver; Albrecht, Daniel; Driemeier, Larissa; Alves, Marcı́lio

doi:10.1016/j.ijplas.2007.12.001

Cited by 277 publications

(113 citation statements)

References 60 publications

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“…Furthermore, it has a rather simple geometry that is easy to fabricate. Contrary to a number of shear sample geometries in the literature [17,18,20,21,26], it does not have a reduced thickness in the shear zone which avoids complications such as machining-induced surface defects and residual stresses that can initiate fracture.…”

Section: Quasi-static Conditionmentioning

confidence: 99%

“…Alternatively, a number of experimental studies have involved designing complex test geometries with the aid of finite element simulations where a tensile load is converted to a shear stress in the gauge area of the samples [18][19][20][21][22][23][24][25][26][27][28]. The principal advantage of these geometries is that the shear tests can be readily performed using conventional tensile test frames.…”

Section: Introductionmentioning

confidence: 99%

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Fracture Characterization of Rolled Sheet Alloys in Shear Loading: Studies of Specimen Geometry, Anisotropy, and Rate Sensitivity

2016

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Two different shear sample geometries were employed to investigate the failure behaviour of two automotive alloy rolled sheets; a highly anisotropic magnesium alloy (ZEK100) and a relatively isotropic dual phase steel (DP780) at room temperature. The performance of the butterfly type specimen (Mohr and Henn, 2007;Dunand and Mohr, 2011) was evaluated at quasi-static conditions along with that of the shear geometry of Peirs et al.(2012) using in situ digital image correlation (DIC) strain measurement techniques. It was shown that both test geometries resulted in similar strain-paths; however, the fracture strains obtained using the butterfly specimen were lower for both alloys. It is demonstrated that ZEK100 exhibits strong anisotropy in terms of failure strain. In addition, the strain rate sensitivity of fracture for ZEK100 was studied in shear tests with strain rates from quasi-static (0.01 s -1 ) to elevated strain rates of 10 s -1 and 100 s -1 , for which a reduction in fracture strain was observed with increasing strain rate.

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Section: Quasi-static Conditionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fracture Characterization of Rolled Sheet Alloys in Shear Loading: Studies of Specimen Geometry, Anisotropy, and Rate Sensitivity

2016

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“…The different damage and failure mechanisms are influenced by the stress state [3,4] which can be characterized by the stress intensity σ eq , the stress triaxiality η and the Lode parameter ω. To get more insight in these complex connections experiments with carefully designed specimens have been performed [1,2]. However, it is very difficult or nearly impossible to identify the damage and failure mechanisms on the microscale only by experiments.…”

Section: Introductionmentioning

confidence: 99%

Micro‐mechanical studies on the effect of various stress‐states on ductile damage and failure

Hagenbrock

Gerke

Brünig

2016

Proc Appl Math and Mech

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The paper deals with the effect of different stress states on damage and failure behavior of ductile materials. To be able to model these effects a continuum damage model has been proposed taking into account the dependence of the stress intensity, the stress triaxiality and the Lode parameter on the constitutive equations. The model is based on the introduction of damaged and fictitious undamaged configurations. Only experiments are not adequate enough to determine all constitutive parameters. Therefore, additional three-dimensional micro-mechanical simulations of representative volume elements have been performed to get more insight in the complex damage mechanisms. These simulations cover a wide range of different void sizes, void shapes and void distributions. After all, the results from the micro-mechanical simulations are used to propose the damage equations and to identify corresponding parameters.

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“…The damage variable is an internal variable related to the effective density of cracks or cavities at each point (for the isotropic case) or at each point and in each direction (anisotropic case), that is, to the microstructure. As for the GTN approach, while the CDM was initially developed considering a scalar damage variable, it has been extended to a tensor representation describing a damage-induced anisotropy (Voyiadjis et al, 2008;Desmorat and Otin, 2008;Brünig et al, 2008;Abu Al-Rub and Voyiadjis, 2003;Badreddine et al, 2010;Brodland et al, 2006;Dunand et al, 2012).…”

Section: Introductionmentioning

confidence: 99%

A generic anisotropic continuum damage model integration scheme adaptable to both ductile damage and biological damage-like situations

Mengoni¹,

Ponthot²

2015

International Journal of Plasticity

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This paper aims at presenting a general versatile time integration scheme applicable to anisotropic damage coupled to elastoplasticity, considering any damage rate and isotropic hardening formulations. For this purpose a staggered time integration scheme in a finite strain framework is presented, together with an analytical consistent tangent operator. The only restrictive hypothesis is to work with an undamaged isotropic material, assumed here to follow a J 2 plasticity model. The only anisotropy considered is thus a damage-induced anisotropy.The possibility to couple any damage rate law with the present algorithm is illustrated with a classical ductile damage model for aluminium, and a biological damage-like application. The later proposes an original bone remodelling law coupled to trabecular bone plasticity for the simulation of orthodontic tooth movements. All the developments have been considered in the framework of the implicit non-linear finite element code Metafor (developed at the LTAS/MN 2 L, University of Liège, Belgium -www.metafor.ltas.ulg.ac.be).

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A ductile damage criterion at various stress triaxialities

Cited by 277 publications

References 60 publications

Fracture Characterization of Rolled Sheet Alloys in Shear Loading: Studies of Specimen Geometry, Anisotropy, and Rate Sensitivity

Fracture Characterization of Rolled Sheet Alloys in Shear Loading: Studies of Specimen Geometry, Anisotropy, and Rate Sensitivity

Micro‐mechanical studies on the effect of various stress‐states on ductile damage and failure

A generic anisotropic continuum damage model integration scheme adaptable to both ductile damage and biological damage-like situations

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