Parametric study of the ductile damage by the Gurson–Tvergaard–Needleman model of structures in carbon steel A48-AP

Slimane, Abdelkader; Bouchouicha, Benattou; Benguediab, M.; Slimane, Sid-Ahmed

doi:10.1016/j.jmrt.2014.12.011

Cited by 35 publications

(15 citation statements)

References 7 publications

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“…Parametric studies of ductile damage using the GTN model for various metals show that each parameter has a significant effect on the predicted results. However, the GTN model parameters of

q_{1}, q_{2}, q_{3}, f_{0}, f_{c}, \overset{k}{true}, f_{N}, S_{N}, and ε_{N}

, as well as the hardening parameters that provide a damage‐free stress‐strain curve for the matrix material are obtained through curve fitting .…”

Section: Numerical Results and Discussionmentioning

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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“…Parametric studies of ductile damage using the GTN model for various metals show that each parameter has a significant effect on the predicted results. However, the GTN model parameters of

q_{1}, q_{2}, q_{3}, f_{0}, f_{c}, \overset{k}{true}, f_{N}, S_{N}, and ε_{N}

, as well as the hardening parameters that provide a damage‐free stress‐strain curve for the matrix material are obtained through curve fitting .…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…where constants A i j and b i are presented in Appendix A. The incremental strains c p and c q are obtained by solving Equations (39) and then updating the values of p and q as follows…”

Section: D Casementioning

confidence: 99%

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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“…Since the semi-analytical method uses the same polynomial response functions as the perturbation technique, therefore the probabilistic moments are calculated by analytical integration from definition also implemented in MAPLE. The entire multi-method approach is based on the solution of the iterative deterministic FEM [3] equation: (8) where K denotes stiffness matrix, R is the matrix of nodal loads, q is the solution displacement vector, while  is the tests number necessary for the Response Function Method recovery. The solution of Eq.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

“…shows the resulting displacement distribution in the deformed specimen at the beginning and at the end of the analysis. Discretisation has a negligible effect on initial deformations, but significant -on the final deformation of the sample[8].…”

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confidence: 98%

Stochastic Elasto-Plastic Analysis of Necking Bar with Random Tvergaard Coefficients

Strąkowski

Kamiński

2019

MATEC Web Conf.

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This paper reports on the computational modelling of static extension tests of the round steel bar. The main objective was to apply the generalised stochastic perturbation technique implemented as the Stochastic Finite Element Method to carry out the numerical simulation of its elasto-plastic behaviour. This approach was based on: the general order Taylor expansion of all input random variables and the resulting state functions of their average means, as well as on the Least Squares Method employed to determine analytical functions of in-between design parameters and the given structural responses. Tvergaard coefficients were assumed as the uncorrelated Gaussian random variables to check the effect of material porosity uncertainty on the statistical scattering of its deformations and stresses. The computational implementation employed the FEM system ABAQUS and computer algebra system MAPLE, including polynomial and non-polynomial local response functions of the displacements, plastic strains and reduced stresses. Moreover, 4-node axisymmetric, continuum, reduced-integration FEM elements (CAX4R) were used in the conducted analyses. The basic probabilistic characteristics of the structural response (expectations, coefficients of variation, skewness and kurtosis) were determined throughout the entire deformation process as the functions of input uncertainty level. The obtained results were finally contrasted with the classical Monte-Carlo Simulation scheme and the semi-analytical technique for input coefficient of variation of porous plasticity coefficients not larger than 0.20.

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“…Based on this procedure, CAP parameters for PM gear simulation is obtained as given in Table 2, whereas for 2P and HIP simulations, all the pores are assumed to be spherical in shape. Hence, all of the three parameters of the Gurson model (q1, q2 and q3) will be equal to 1 and that is used in the FEM simulations [30,31]. To consider the sintering effects, the modification factor of relative density equal to − 0.69% and − 0.50% for 1S and 2S respectively is applied to the FE model results of 1P and 2P simulations.…”

Section: Model Parametersmentioning

confidence: 99%

Experimental and finite element simulation study of capsule-free hot isostatic pressing of sintered gears

Sundaram

Khodaee

Andersson

et al. 2018

Int J Adv Manuf Technol

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A novel approach to reach full density in powder metallurgy (PM) components is demonstrated in this work. Water-atomised Moprealloyed steel powder is utilised for manufacturing cylindrical and gear samples through double pressing and double sintering (DPDS) process route. The effect of sample geometry and powder size fraction on densification is investigated and it is found that the DPDS route enables a density level of > 95% which is sufficient to eliminate the surface open pores. Reaching such high density is necessary, in order to perform capsule-free hot isostatic pressing (HIP). After HIP, full densification is achieved for the cylindrical samples and only near full density is realised for the gears resulting in neutral zone formation due to the density gradient. In order to predict the densification behaviour during the compaction, FEM simulations considering the gear geometry are performed for both the pressing stages and HIP. The simulation predicted a similar densification behaviour with the formation of the neutral zone. The proposed DPDS route with capsule-free HIP in combination with FEM simulation is demonstrated as a potential route for manufacturing full-density PM steel components, e.g. gears, suitable for high-performance applications.

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Parametric study of the ductile damage by the Gurson–Tvergaard–Needleman model of structures in carbon steel A48-AP

Cited by 35 publications

References 7 publications

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

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

Stochastic Elasto-Plastic Analysis of Necking Bar with Random Tvergaard Coefficients

Experimental and finite element simulation study of capsule-free hot isostatic pressing of sintered gears

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