A criterion for void coalescence in anisotropic ductile materials

Keralavarma, Shyam M.; Chockalingam, Sreekumar

doi:10.1016/j.ijplas.2016.03.003

Cited by 64 publications

(44 citation statements)

References 39 publications

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“…and (2) a trial velocity field kinematically admissible with boundary conditions and verifying the property of incompressibility. Regarding the latter point, several trial velocity fields have been provided in previous studies [8,57,58,59,21] for cylindrical porous unit-cell with cylindrical void, which have been shown to lead to good estimates of coalescence stress for both isotropic and (Hill)-anisotropic materials. For crystal plasticity as defined in Section 3.1.1, an analytical expression for the microscopic dissipation (Eq.…”

Section: Homogenization and Limit-analysismentioning

confidence: 99%

“…Based on unit-cells simulations (see, e.g., [13,14] for recent studies and references therein), plastic anisotropy has been incorporated into homogenized models for porous materials, mainly through Hill's orthotropic yield criterion, for growth [15,16,17,18,19] and more recently for coalescence [20,21,22]. However, void growth and coalescence have been much less studied in single crystals, where strong plastic anisotropy arises from well-defined sets of slip systems, while associated homogenized models will be ultimately required to model macroscopic mechanical behavior up to ductile tearing.…”

Section: Introductionmentioning

confidence: 99%

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A coalescence criterion for porous single crystals

Hure¹

2019

Journal of the Mechanics and Physics of Solids

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Voids can be observed at various scales in ductile materials, frequently of sizes lower than the grain size, leading to porous single crystals materials. Two local deformation modes of porous ductile (single crystals) materials have been identified and referred to as void growth and void coalescence, the latter being characterized by strong interactions between neighboring voids. A simple semi-analytical coalescence criterion for porous single crystals with periodic arrangement of voids is proposed using effective isotropic yield stresses associated with a criterion derived for isotropic materials. An extension of the coalescence criterion is also proposed to account for shear with respect to the coalescence plane. Effective yield stresses are defined using Taylor theory of single crystal deformation, and rely ultimately on the computation of average Taylor factors. Arbitrary sets of slip systems can be considered. The coalescence criterion is assessed through comparisons to numerical limit-analysis results performed using a Fast-Fourier-Transform based solver. A good agreement is observed between the proposed criterion and numerical results for various configurations including different sets of slip systems (Face-Centered-Cubic, Hexagonal-Close-Packed), crystal orientations, void shapes and loading conditions. The competition between void growth and void coalescence is described for specific conditions, emphasizing the strong influence of both crystal orientation and void lattice, as well as their interactions.

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Section: Homogenization and Limit-analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A coalescence criterion for porous single crystals

Hure¹

2019

Journal of the Mechanics and Physics of Solids

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“…Using effective anisotropy coefficient instead of Hill's constants can improve stress-strain prediction with same Swift law parameters as those in the isotropic case. Effective stress is used following Hill's quadratic criteria based on Equations (33) and (34) when effective anisotropy coefficients are used. The damage-free stress-strain curve of matrix material for this case is realistic in metals, especially for aluminum alloys.…”

Section: Figurementioning

confidence: 99%

“…Several approximate yield criteria such as quadratic and nonquadratic yield criteria by Hill Hosford, and Barlat and Lian, for anisotropic ductile materials are available in literature. Numerical implementations and subsequent studies of the combination of earlier GTN model with some of the newer yield criteria can be found in other works . Furthermore, the GTN model has been extended and transformed from an isotropic matrix material to an anisotropic matrix based on the algorithm presented by Aravas .…”

Section: Introduction and A Brief Review Of Literaturementioning

confidence: 99%

“…Numerical implementations and subsequent studies of the combination of earlier GTN model with some of the newer yield criteria can be found in other works. [10][11][12][13][14][15][16][17][18][19][25][26][27][28][29][30][31][32][33][34] Furthermore, the GTN model has been extended and transformed from an isotropic matrix material to an anisotropic matrix 6,8,9 based on the algorithm presented by Aravas. 35 Hill's quadratic anisotropic yield criterion is used in these studies to define equivalent stress, whereas the exact algorithm for an isotropic material is applied in the new anisotropic implementations of the GTN model.…”

Section: Introduction and A Brief Review Of Literaturementioning

confidence: 99%

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Anisotropic Gurson‐Tvergaard‐Needleman plasticity and damage model for finite element analysis of elastic‐plastic problems

Shahzamanian

2018

Numerical Meth Engineering

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Summary Implementation and analysis of the anisotropic version of the Gurson‐Tvergaard‐Needleman (GTN) isotropic damage criterion are performed on the basis of Hill's quadratic anisotropic yield theory with the definition of an effective anisotropic coefficient to represent the elastic‐plastic behavior of ductile metals. This study aims to analyze the extension of the GTN model suitable for anisotropic porous metals and to investigate the GTN model extension. An anisotropic damage model is implemented using the user material subroutine in ABAQUS/standard finite element code. The implementation is verified and applied to simulate a uniaxial tensile test on a commercially produced aluminum sheet material for three‐dimensional and plane stress test cases. Spherical and ellipsoidal micro voids are considered in the matrix material, and their effects on the uniaxial stress‐strain response of the material are analyzed. Hill's quadratic anisotropic yield theory predicts substantially large damage evolution and a low stress‐strain curve compared with those predicted by the isotropic model. An approximate model for anisotropic materials is proposed to avoid increased damage evolution. In this approximate model, Hill's anisotropic constants are replaced with an effective anisotropy coefficient. All model‐generated stress‐strain predictions are compared with the experimental stress‐strain curve of AA6016‐T4 alloy.

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A Predictive Multisurface Approach to Damage Modeling in Mg Alloys

Vigneshwaran

Benzerga

2022

The Minerals, Metals &Amp; Materials Series

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A criterion for void coalescence in anisotropic ductile materials

Cited by 64 publications

References 39 publications

A coalescence criterion for porous single crystals

A coalescence criterion for porous single crystals

Anisotropic Gurson‐Tvergaard‐Needleman plasticity and damage model for finite element analysis of elastic‐plastic problems

A Predictive Multisurface Approach to Damage Modeling in Mg Alloys

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