Crystal plasticity and phenomenological approaches for the simulation of deformation behavior in thin copper alloy sheets

Adzima, F.; Balan, Tudor; Manach, Pierre‐Yves; Bonnet, Nicolas; Tabourot, Laurent

doi:10.1016/j.ijplas.2016.06.003

Cited by 19 publications

(11 citation statements)

References 67 publications

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“…It has been also observed that microstructural features influence the mechanical response of copper film. Film thickness, thermal treatments or grain size, shape and orientations, manufacturing process generate different copper mechanical behaviors, as pointed out experimentally by Schwaiger et al (2003) or Wimmer et al (2014) for PCB applications or by Adzima et al (2017) for forming process of copper thin sheet.…”

Section: Introductionmentioning

confidence: 93%

Cyclic response of electrodeposited copper films. Experiments and elastic–viscoplastic mean-field modeling

Girard

Frydrych

Kowalczyk-Gajewska

et al. 2021

Mechanics of Materials

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The goal of the present work is to identify and model the elastic-viscoplastic behavior of electrodeposited copper films under tension-compression loadings. From the experimental point of view, as proposed in the literature, a film of copper is electrodeposited on both sides of an elastic compliant substrate. The overall specimen is next subjected to tensile loading-unloadings. As the substrate remains elastic, the elastic-plastic response of copper under cyclic loading is experimentally determined. A clear kinematic hardening behavior is captured. To model the mechanical response, a new elastic-viscoplastic self-consistent scheme for polycrystalline materials is proposed. The core of the model is the tangent additive interaction law proposed in (Molinari, 2002). The behavior of the single grain is rate dependent where kinematic hardening is accounted for in the model at the level of the slip system. The model parameters are optimized via an evolutionary algorithm by comparing the predictions to the experimental cyclic response. As a result, the overall response is predicted. In addition, the heterogeneity in plastic strain activity is estimated by the model during cyclic loading.

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Section: Introductionmentioning

confidence: 93%

Cyclic response of electrodeposited copper films. Experiments and elastic–viscoplastic mean-field modeling

Girard

Frydrych

Kowalczyk-Gajewska

et al. 2021

Mechanics of Materials

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“…Many experimental investigations were conducted to indicate the geometrical shapes of yield surface distortion with the remarkable corner effects in the pre-strain direction [ 9 , 10 ] and non-normality of plastic flow on the smooth yield surface [ 11 , 12 ]. At the same time, two main material constitutive models were employed to predict the anisotropic yielding and plastic flow behaviors of polycrystalline materials: the phenomenological approach introducing the anisotropic yield functions with associated or non-associated flow rule [ 13 , 14 , 15 ] and the micromechanical approach based on the polycrystalline plasticity models [ 16 , 17 , 18 ].…”

Section: Introductionmentioning

confidence: 99%

“…For the phenomenological approach, various anisotropic yield functions based on the associated flow rule (AFR) or non-associated flow rule (non-AFR) to account for the anisotropy of yield surface evolution, Bauschinger effect, and strain-hardening behavior have been proposed [ 2 , 16 , 19 , 20 ]. The earliest and most widely used yield criteria under the associated flow rule with a single function in a quadratic or a non-quadratic form to describe both yield behavior and the direction of plastic strain were initiated by Hill [ 21 ] and Hosford [ 22 ], and the yield locus based on these yield criteria was only restricted to the plane stress states excluding shear stress terms and orthotropic symmetry assuming principal stress axes superimposed onto orthotropic axes [ 3 , 4 , 19 ].…”

Section: Introductionmentioning

confidence: 99%

Investigation on Plastic Flow Behaviors of FCC Polycrystalline Aluminum under Pre-Cyclic Tension-Compression Loading: Experiments and Crystal Plasticity Modeling

Zhang

2021

Nanomaterials

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The plastic flow behaviors of FCC polycrystalline aluminum after pre-cyclic tension-compression deformation are mainly investigated in tension–torsion stress space by the physically based crystal plasticity model introducing a back-stress. A global finite element model (GFEM) constructed of sufficient grains was established to simulate the same-size thin-walled tube specimen constrained and loaded as the experiments of yield surfaces. The computational results showed that the shape of subsequent yield surfaces and the plastic flow directions directly depended on the given offset strain levels and the applied re-loading paths under different pre-cyclic deformations. The angle deviation between the plastic flow direction and the theoretical orthogonal direction further indicated that there was a large difference between them in the inverse pre-straining direction, but the difference was negligible in the pre-straining direction. From the influence of the anisotropic evolution of the subsequent yield surfaces on plastic flow, we found that the plastic normality rule followed the smooth yield locus; conversely, the significant non-associated flow was attributed to the distorted yield locus. Furthermore, it was also demonstrated that the anisotropic evolution and the plastic flow trend of the subsequent yield surfaces obtained by experiments can be better reproduced by the crystal plasticity model.

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“…The full-field models, such as crystal plasticity finite element methods (CPFEM) [5][6][7][8] enable investigating the behavior of a polycrystalline aggregate at both microscopic and macroscopic levels and allow examination of deformation flow at distinctive deformation rates and temperatures. The CPFEM with different crystal plasticity constitutive models [9][10][11] were successfully employed to simulate the deformation behavior of single crystalline materials as well as polycrystalline systems. The mean-field approximations [12][13][14][15][16], treating the material as a continuum at the level of single grain, are effective approaches to simulate the behavior of polycrystalline systems, where each grain interacts with the neighborhood in a predefined way.…”

Section: Introductionmentioning

confidence: 99%

Deformation Texture Modelling by Mean-Field and Full-Field Approaches

Xie¹

2019

Adv. Mater. Lett.

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An analysis on modeling the rolling textures in Al alloy by means of mean-field and full-field approaches is presented in the current contribution. The mean-field simulations were performed by the Taylor-type homogenization approach, called Alamel model, which takes into account a short-range interaction between the grains in a polycrystalline system. In order to account for the intra-grain deformation phenomena, the crystal elasto-visco-plastic finite-element model was employed. The method of strain path approximation on the quality of texture prediction was likewise discussed. The deformation history was calculated with different analytical approaches and a finite element model with isotropic mechanical properties, which accounted for various degree of accuracy. It was shown that the analytical approximations accoupled with the crystal plasticity model employed are capable of carrying out texture simulations close to the one performed with the crystal plasticity model with the deformation history obtained by means of the finite element model. Comparison of modelled and experimental textures as well as analysis of qualitative texture indicators suggest that an improvement in texture simulation can be achieved by considering heterogeneities of deformation flow across the thickness and taking into account the inhomogeneous nature of deformation inside each grain.

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Crystal plasticity and phenomenological approaches for the simulation of deformation behavior in thin copper alloy sheets

Cited by 19 publications

References 67 publications

Cyclic response of electrodeposited copper films. Experiments and elastic–viscoplastic mean-field modeling

Cyclic response of electrodeposited copper films. Experiments and elastic–viscoplastic mean-field modeling

Investigation on Plastic Flow Behaviors of FCC Polycrystalline Aluminum under Pre-Cyclic Tension-Compression Loading: Experiments and Crystal Plasticity Modeling

Deformation Texture Modelling by Mean-Field and Full-Field Approaches

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