Modification of the Gurson Model for shear failure

Nahshon, Ken; Hutchinson, John W.

doi:10.1016/j.euromechsol.2007.08.002

Cited by 922 publications

(583 citation statements)

References 28 publications

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“…Encouraged by this evidence, Nahshon and Hutchinson (2008) proposed a shear extension for the Gurson model involving the void growth relation (Eq. 5).…”

Section: Shear Extensionmentioning

confidence: 99%

Damage prediction in single point incremental forming using an extended Gurson model

Guzmán

Yuan

Duchêne

et al. 2018

International Journal of Solids and Structures

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Single point incremental forming (SPIF) has several advantages over traditional forming, such as the high formability attainable by the material. Different hypotheses have been proposed to explain this behavior, but there is still no straightforward relation between the particular stress and strain state induced by SPIF and the material degradation leading to localization and fracture. A systematic review of the state of the art about formability and damage in SPIF is presented and an extended Gurson-TvergaardNeedleman (GTN) model was applied to predict damage in SPIF through finite element (FE) simulations. The line test was used to validate the simulations by comparing force and shape predictions with experimental results. To analyze the failure prediction, several simulations of SPIF cones at different wall angles were performed. It is concluded that the GTN model underestimates the failure angle on SPIF due to wrong coalescence modeling. A physically-based Thomason coalescence criterion was then used leading to an improvement on the results by delaying the onset of coalescence.

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“…Encouraged by this evidence, Nahshon and Hutchinson (2008) proposed a shear extension for the Gurson model involving the void growth relation (Eq. 5).…”

Section: Shear Extensionmentioning

confidence: 99%

Damage prediction in single point incremental forming using an extended Gurson model

Guzmán

Yuan

Duchêne

et al. 2018

International Journal of Solids and Structures

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“…A number of papers have been published recently to develop modified GTN models by adding a function to capture the fracture at low stress triaxiality, Xue's shear mechanism [22] and Nahshon-Hutchinson's shear mechanism [25] have received most attention. In this work, Nahshon-Hutchinson's shear mechanism is used because this model showed a good correlation between the FE simulation and experimental tests [25]. In addition, it has shown improved accuracy of fracture over Xue's shear mechanism under tensile/shear loading conditions [26].…”

Section: Shear Mechanismmentioning

confidence: 99%

Modelling of ductile fracture in single point incremental forming using a modified GTN model

Gatea

Lü

et al. 2017

Engineering Fracture Mechanics

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A note on versions:The version presented here may differ from the published version or from the version of record. If you wish to cite this item you are advised to consult the publisher's version. Please see the repository url above for details on accessing the published version and note that access may require a subscription. t r a c tUnderstanding the deformation and failure mechanisms in single point incremental forming (SPIF) is of great importance for achieving improved formability. Furthermore, there will be added benefits for more in depth evaluation of the effect of localised deformation to the fracture mechanism in SPIF. Although extensive research has been carried out in recent years, questions still remain on the shear and particularly its effect to the formability in SPIF processes. In this work, a modified Gurson-Tvergaard-Needleman (GTN) damage model was developed with the consideration of shear to predict ductile fracture in the SPIF process due to void nucleation and coalescence with results compared with original GTN model in SPIF. A combined approach of experimental testing and SPIF processing was used to validate finite element results of the shear modified Gurson-Tvergaard-Needleman damage model. The results showed that the shear modified GTN model improved the modelling accuracy of fracture over the original GTN model under shear loading conditions. Furthermore, the shear plays a role under meridional tensile stress to accelerate fracture propagation in SPIF processes.

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“…Recently, the importance of the Lode parameter has been discussed (e.g. Zhang et al, 2001;Nahshon and Hutchinson, 2008;Bai and Wierzbicki, 2008;Barsoum and Faleskog, 2011), and it is then necessary to construct a fracture surface where the strain to failure is plotted as a function of stress triaxiality and Lode parameter. The fracture surface should present the local fracture strain versus the local values of stress triaxiality and Lode parameters at the location where failure initiates in the specimen.…”

Section: Discussionmentioning

confidence: 99%

“…They proposed to distinguish between void growth, which is predominant at high stress triaxialities, and shear fracture, which dominates at low stress triaxialities. Barsoum and Faleskog (2007) have shown experimentally the influence of the third invariant of the deviatoric stress tensor on ductile failure, while Nahshon and Hutchinson (2008) introduced the third invariant in the Gurson model to reproduce the shear dominated failure mode observed at low stress triaxiality states. To introduce the influence of the third invariant, Bai and Wierzbicki (2010) proposed a modified Mohr-Coulomb fracture criterion formulated in the space of stress triaxiality, Lode angle and equivalent plastic strain.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic failure modes of high-strength aluminium alloy under various stress states

Fourmeau

Børvik

Benallal

et al. 2013

International Journal of Plasticity

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The influence of stress state and plastic anisotropy on the fracture behaviour of a rolled AA7075-T651 aluminium plate under quasi-static loading conditions is studied both experimentally and numerically. Material tests in different directions of the plate were carried out using specimens with various shapes to provide a wide range of stress states. The strain to failure and the failure modes were found to vary strongly with the stress state, but also with the loading direction due to the complex microstructure of the alloy. Finite element simulations adopting an anisotropic plasticity model were used to obtain local values of stresses and strains and to define the strains at fracture for the various stress states. The numerical simulations show that due to the heterogeneous stress and strain fields in the specimens, it is very difficult to accurately locate the point where fracture initiates and thus to determine the local fracture strain as a function of stress state and loading direction.

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Modification of the Gurson Model for shear failure

Cited by 922 publications

References 28 publications

Damage prediction in single point incremental forming using an extended Gurson model

Damage prediction in single point incremental forming using an extended Gurson model

Modelling of ductile fracture in single point incremental forming using a modified GTN model

Anisotropic failure modes of high-strength aluminium alloy under various stress states

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