Simulation of ductile tearing during a full size test using a non local Gurson–Tvergaard–Needleman (GTN) model

Chen, Youbin; Lorentz, Éric; Dahl, Anna; Besson, Jacques

doi:10.1016/j.engfracmech.2021.108226

Cited by 17 publications

(4 citation statements)

References 69 publications

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“…Another approach is based on micromorphic models (Forest, 2009), which can be used to model ductile failure as in (Brepols et al, 2017;Diamantopoulou et al, 2017). A nonlocal gradient enhanced energy (GEE) model has also been proposed in the case of ductile failure (Zhang et al, 2018;Chen et al, 2020). The model uses the accumulated plastic strain, which is defined locally (at Gauss point) and globally.…”

Section: Nonlocal Gtn Modelmentioning

confidence: 99%

“…2. If strain gradient plasticity effects are to be considered as in (Martínez-Pañeda et al, 2016), micromorphic models (Forest, 2009) or gradient enhanced models (Chen et al, 2020) could be used to simultaneously deal with damage. They, however, offer less flexibility if several nonlocal variables are used.…”

Section: Nonlocal Gtn Modelmentioning

confidence: 99%

“…𝐽 is then computed using the ASTM E1820 standard considering the simulated Load-CMOD curve. Before crack initiation, the crack advance Δ𝑎 is set to 1 2 𝐽 ∕𝜎 𝑌 to account for crack blunting because it is not accounted for when only considering broken elements (see also (Chen et al, 2022)). 𝜎 𝑌 = 590 MPa is the average of the 0.2% proof stress and the Ultimate Tensile Stress.…”

Section: Fracture Toughness Testsmentioning

confidence: 99%

See 2 more Smart Citations

Simulation of hydrogen embrittlement of steel using mixed nonlocal finite elements

Lopes Pinto,

El Ouazani Tuhami,

Osipov

et al. 2024

European Journal of Mechanics - A/Solids

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Section: Nonlocal Gtn Modelmentioning

confidence: 99%

Section: Nonlocal Gtn Modelmentioning

confidence: 99%

Section: Fracture Toughness Testsmentioning

confidence: 99%

See 1 more Smart Citation

Simulation of hydrogen embrittlement of steel using mixed nonlocal finite elements

Lopes Pinto,

El Ouazani Tuhami,

Osipov

et al. 2024

European Journal of Mechanics - A/Solids

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“…It consists in duplicating the considered variable, one is local and one is non-local and these two variables are then constrained to be equal. An augmented Lagrangian term was introduced to prevent plastic strain oscillations [60,61]. The computational cost of micromorphic and Lagrange multiplier-based approaches are compared for a rate-(in)dependent single crystal model in [25].…”

Section: Introductionmentioning

confidence: 99%

Toward robust scalar-based gradient plasticity modeling and simulation at finite deformations

Abatour¹,

Forest²,

Ammar³

et al. 2022

Acta Mech

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Strain gradient plasticity has been the subject of extensive research in the past forty years in order to model size effects in metal plasticity, on the one hand, and provide finite width shear bands in the simulation of localization phenomena, on the other hand. However, the use of the emerging models is still limited to academic applications and has not yet been adopted by industry practitioners. The present paper systematically reviews the pros and the cons of gradient plasticity at finite strains based on gradient of scalar plastic variables, in particular gradient of the cumulative plastic strain. It proposes benchmark tests addressing both size effect modeling and plastic strain localization simulation. It includes new analytical solutions for validation of FE implementation. It focuses on the micromorphic approach to gradient plasticity, as a convenient method for implementation in FE codes. New features of the analysis include the comparison of three distinct formulations of rate-independent gradient plasticity at finite deformations, based on the multiplicative decomposition of the deformation gradient and on quadratic potentials with respect to gradient terms. The performance of micromorphic and Lagrange-multiplier based strain gradient plasticity models is evaluated for various monotonic and cyclic loading conditions including confined plasticity in simple glide and tension, bending and torsion at large deformations. Limitations are pointed out in the case of bending and torsion, which can be overcome for instance by the use of the gradient of equivalent plastic strain model.

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Phase Field Coupled Finite Deformation Plasticity Formulation of Ductile Fracture With Nonlinear Kinematic Hardening and Modified Energy Release Function

Kumar,

Patel

2024

Numerical Meth Engineering

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A ductile damage theory is presented by coupling the covariant formulation of finite deformation plasticity with the phase field modeling of fracture, including kinematic hardening for the ductile response of the materials. A phase field coupled nonlinear kinematic hardening equation is proposed in the reference configuration having equivalent representation through the Lie derivative of the kinematic hardening tensor by push‐forward operation in the spatial configuration, thus ensuring the satisfaction of frame invariance. To capture the correct physical response of the material by the phase field evolution equation, the fracture driving function, that is, the difference between the sum of elastic and plastic energies and threshold energy, after the damage initiation is modified by an energy release controlling function, which is an empirical relation of equivalent plastic strain. In defining the energy release controlling function, well‐defined points with physical significance in the experimental load versus displacement curve are used. To simulate the response of the material in relatively large time steps, a modified staggered scheme is presented, evaluating the fracture driving and energy release controlling functions from the previous converged step and using the updated phase field variable in the weak form of the momentum balance equation. To quantify different material parameters from available experimental results in the literature, the developed phase field coupled elasto‐plastic model uses a neural network optimization procedure consisting of neural network training together with optimization in MATLAB and finite element model evaluation in Abaqus user element subroutine UEL. Model capabilities are demonstrated by simulating the crack propagation in complex 3D geometries such as the second and third Sandia Fracture Challenges.

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Simulation of ductile tearing during a full size test using a non local Gurson–Tvergaard–Needleman (GTN) model

Cited by 17 publications

References 69 publications

Simulation of hydrogen embrittlement of steel using mixed nonlocal finite elements

Simulation of hydrogen embrittlement of steel using mixed nonlocal finite elements

Toward robust scalar-based gradient plasticity modeling and simulation at finite deformations

Phase Field Coupled Finite Deformation Plasticity Formulation of Ductile Fracture With Nonlinear Kinematic Hardening and Modified Energy Release Function

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