Micromechanical modeling of the elastic-viscoplastic behavior of polycrystalline steels having different microstructures

Berbenni, Stéphane; Favier, Véronique; Lemoine, Xavier; Berveiller, M.

doi:10.1016/j.msea.2003.11.010

Cited by 84 publications

(33 citation statements)

References 31 publications

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“…e p 13 was evaluated using a relevant one site self-consistent model for elastic-viscoplastic metals [35,36]. This self-consistent model is applied here to the present polycrystalline nickel using the measured initial crystallographic orientation distribution function obtained by EBSD.…”

Section: Resultsmentioning

confidence: 99%

“…From the AFM slip patterns, the spatial slip band distribution is obtained and introduced in the aforementioned micromechanical model. An elastic-viscoplastic self-consistent model detailed elsewhere [35,36] is also used to evaluate the average plastic strain in the grain instead of using a simple Taylor's approximation [5]. This value is used to derive the slip magnitude in each superdislocation loop.…”

Section: Introductionmentioning

confidence: 99%

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Role of discrete intragranular slip on lattice rotations in polycrystalline Ni: Experimental and micromechanical studies

et al. 2010

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Role of discrete intragranular slip on lattice rotations in polycrystalline Ni: Experimental and micromechanical studies

et al. 2010

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“…[18][19][20][21] Much effort has been spent on investigating the deformation behavior and failure mechanism of MP steels by analytical, experimental, and numerical methods. [22][23][24][25][26][27][28][29][30][31][32][33] The majority of these studies use either analytical approaches such as homogenization techniques or experimental measurements under simple loading conditions to predict and quantify the initial work-hardening behavior of various DP steels, while leaving their ultimate strength, ultimate ductility, and failure modes under different loading conditions unpredicted. Because the macroscopic behaviors of DP steels are attributable to their microstructures, the modeling of DP steels needs to be accomplished on the microstructure level.…”

Section: Introductionmentioning

confidence: 99%

Influence of Martensite Mechanical Properties on Failure Mode and Ductility of Dual-Phase Steels

Choi

Liu

et al. 2009

Metall Mater Trans A

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The effects of the mechanical properties of the martensite phase on the failure mode and ductility of dual-phase (DP) steels are investigated using a micromechanics-based finite element method. Actual microstructures of DP steels obtained from scanning electron microscopy (SEM) are used as representative volume elements (RVEs) in the finite element calculations. Ductile failure of the RVE is predicted as plastic strain localization during the deformation process. Systematic computations are conducted on the RVE to quantitatively evaluate the influence of the martensite mechanical properties and volume fraction on the macroscopic mechanical properties of DP steels. These properties include the ultimate tensile strength (UTS), ultimate ductility, and failure modes. The computational results show that, as the strength and volume fraction of the martensite phase increase, the UTS of DP steels increases, but the UTS strain and failure strain decrease. In addition, shear-dominant failure modes usually develop for DP steels with lower martensite strengths, whereas split failure modes typically develop for DP steels with higher martensite strengths. The methodology and data presented in this article can be used to tailor DP steel design for its intended purposes and desired properties.

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“…Recently, an internal variable approach obtained from a variational method was developed by Lahellec and Suquet (2007a,b) to describe the behavior of composite materials. Paquin et al (1999), Sabar et al (2002) and Berbenni et al (2004) proposed an alternative framework based upon the specific properties of projection operators. In the approach of Paquin et al (1999), the purely elastic and purely viscoplastic heterogeneous problems are solved independently using the self-consistent approximation.…”

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An affine formulation for the self-consistent modeling of elasto-viscoplastic heterogeneous materials based on the translated field method

Mareau

Berbenni

2015

International Journal of Plasticity

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. AbstractThe modeling of heterogeneous materials with an elasto-viscoplastic behavior is generally complex because of the differential nature of the local constitutive law. Indeed, the resolution of the heterogeneous problem involves space-time couplings which are generally difficult to estimate. In the present paper, a new homogenization model based on an affine linearization of the viscoplastic flow rule is proposed. First, the heterogeneous problem is written in the form of an integral equation. The purely thermoelastic and purely viscoplastic heterogeneous problems are solved independently using the self-consistent approximation. Using translated field techniques, the solutions of the above problems are combined to obtain the final self-consistent formulation. Then, some applications concerning two-phase fibre-reinforced composites and polycrystalline materials are presented. When compared to the reference solutions obtained from a FFT spectral method, a good description of the overall response of heterogeneous materials is obtained with the proposed model even when the viscoplastic flow rule is highly non-linear. Thanks to this approach, which is entirely formulated in the real-time space, the present model can be used for studying the response of heterogeneous materials submitted to complex thermo-mechanical loading paths with a good numerical efficiency.

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Micromechanical modeling of the elastic-viscoplastic behavior of polycrystalline steels having different microstructures

Cited by 84 publications

References 31 publications

Role of discrete intragranular slip on lattice rotations in polycrystalline Ni: Experimental and micromechanical studies

Role of discrete intragranular slip on lattice rotations in polycrystalline Ni: Experimental and micromechanical studies

Influence of Martensite Mechanical Properties on Failure Mode and Ductility of Dual-Phase Steels

An affine formulation for the self-consistent modeling of elasto-viscoplastic heterogeneous materials based on the translated field method

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