Evaluation of self-consistent polycrystal plasticity models for magnesium alloy AZ31B sheet

Published on Oct 15, 2010in International Journal of Solids and Structures3.9
路 DOI :10.1016/J.IJSOLSTR.2010.06.016
Huamiao Wang25
Estimated H-index: 25
(McMaster University),
B. Raeisinia14
Estimated H-index: 14
(UVA: University of Virginia)
+ 2 AuthorsCarlos N. Tom茅80
Estimated H-index: 80
(LANL: Los Alamos National Laboratory)
Sources
Abstract
Various self-consistent polycrystal plasticity models for hexagonal close packed (HCP) polycrystals are evaluated by studying the deformation behavior of magnesium alloy AZ31B sheet under different uniaxial strain paths. In all employed polycrystal plasticity models both slip and twinning contribute to plastic deformation. The material parameters for the various models are fitted to experimental uniaxial tension and compression along the rolling direction (RD) and then used to predict uniaxial tension and compression along the traverse direction (TD) and uniaxial compression in the normal direction (ND). An assessment of the predictive capability of the polycrystal plasticity models is made based on comparisons of the predicted and experimental stress responses and R values. It is found that, among the models examined, the self-consistent models with grain interaction stiffness halfway between those of the limiting Secant (stiff) and Tangent (compliant) approximations give the best results. Among the available options, the Affine self-consistent scheme results in the best overall performance. Furthermore, it is demonstrated that the R values under uniaxial tension and compression within the sheet plane show a strong dependence on imposed strain. This suggests that developing anisotropic yield functions using measured R values must account for the strain dependence.
馃摉 Papers frequently viewed together
References48
Newest
The finite element method is used to numerically simulate localized necking in aluminum alloy tube under internal pressure. The measured electron backscatter diffraction (EBSD) data are directly incorporated into the finite element model and the constitutive response at an integration point is described by the single crystal plasticity theory. The tube is assumed sufficiently long, so that length changes as well as the end effects can be ignored and a plane strain analysis can be performed. Loca...
Source
#1Huamiao Wang (McMaster University)H-Index: 25
#2Peidong Wu (McMaster University)H-Index: 55
Last. Yonggang Huang (NU: Northwestern University)H-Index: 142
view all 4 authors...
Abstract A large strain elastic鈥搗iscoplastic self-consistent (EVPSC) model for polycrystalline materials is developed. At single crystal level, both the rate sensitive slip and twinning are included as the plastic deformation mechanisms, while elastic anisotropy is accounted for in the elastic moduli. The transition from single crystal plasticity to polycrystal plasticity is based on a completely self-consistent approach. It is shown that the differences in the predicted stress鈥搒train curves and...
Source
#1Julie L茅vesque (Laval University)H-Index: 10
#2A. Kaan Inal (UW: University of Waterloo)H-Index: 1
Last. Raja K. Mishra (GM: General Motors)H-Index: 36
view all 4 authors...
Abstract In this paper, a constitutive framework based on a rate-dependent crystal plasticity theory is employed to simulate the large strain deformation phenomena in hexagonal closed-packed (HCP) metals such as magnesium. The new framework is incorporated into in-house codes. Simulations are performed using the new crystal plasticity model in which crystallographic slip and deformation twinning are the principal deformation mechanisms. Simulations of various stress states (uniaxial tension, uni...
Source
#1Philip Eyckens (Katholieke Universiteit Leuven)H-Index: 10
#2Albert Van Bael (Katholieke Universiteit Leuven)H-Index: 16
Last. Paul Van Houtte (Katholieke Universiteit Leuven)H-Index: 26
view all 3 authors...
Abstract The Marciniak鈥揔uczynski (MK) forming limit model is extended in order to predict localized necking in sheet metal forming operations in which Through-Thickness Shear (TTS), also known as out-of-plane shear, occurs. An example of such a forming operation is Single Point Incremental Forming. The Forming Limit Diagram (FLD) of a purely plastic, isotropic hardening material with von Mises yield locus is discussed, for monotonic deformation paths that include TTS. If TTS is present in the pl...
Source
#1J.A. del Valle (CSIC: Spanish National Research Council)H-Index: 22
#2Oscar Antonio Ruano (CSIC: Spanish National Research Council)H-Index: 45
The effect of annealing treatments on the normal plastic anisotropy (r-value) of a magnesium alloy, AZ61, processed by severe rolling was investigated. The various annealing treatments produce two effects on microstructure: grain coarsening and slight weakening of the texture. In addition, these treatments produce a noticeable decrease of the anisotropy that was correlated with an increase in strain rate sensitivity and a decrease of work hardening rate. It is concluded that an enhanced contribu...
Source
#1Gw茅na毛lle Proust (USYD: University of Sydney)H-Index: 22
#2Carlos N. Tom茅 (LANL: Los Alamos National Laboratory)H-Index: 80
Last. Sean R. Agnew (UVA: University of Virginia)H-Index: 55
view all 4 authors...
Abstract Hexagonal materials deform plastically by activating diverse slip and twinning modes. The activation of such modes depends on their relative critical stresses, and the orientation of the crystals with respect to the loading direction. To be reliable, a constitutive description of these materials has to account for texture evolution associated with reorientations due to both dislocation slip and twinning, and for the effect of the twin boundaries as barriers to dislocation propagation. W...
Source
#1C. John Neil (UVA: University of Virginia)H-Index: 1
#2Sean R. Agnew (UVA: University of Virginia)H-Index: 55
Abstract A viscoplastic crystal plasticity model is incorporated within the Marciniak鈥揔uczynski (M鈥揔) approach for forming limit curve prediction. The approach allows for the incorporation of crystallographic texture-induced anisotropy and the evolution of the same. The effects of mechanical twinning on the plastic response and texture evolution are also incorporated. Grain-level constitutive parameters describing the temperature dependent behavior of hexagonal close packed Mg alloy, AZ31B, shee...
Source
#1Javier Signorelli (CONICET: National Scientific and Technical Research Council)H-Index: 17
#2M. A. Bertinetti (CONICET: National Scientific and Technical Research Council)H-Index: 8
Last. P.A. Turner (CONICET: National Scientific and Technical Research Council)H-Index: 4
view all 3 authors...
Abstract In the sheet-metal forming industry, forming-limit strains have been a useful tool for quantifying metals formability. However, the experimental measurement of these strains is a difficult, time consuming and expensive process. It would be useful if strains calculated with a theoretical model could replace many of the experimental measurements. In this research, we analyze forming-limit strains of metals using a rate-dependent plasticity, polycrystal, self-consistent (VPSC) model in con...
Source
#1F. Xu (Queen's University)H-Index: 5
#2R.A. Holt (Queen's University)H-Index: 1
Last. Mark R. Daymond (Queen's University)H-Index: 58
view all 3 authors...
Abstract An elastoplastic self-consistent model was used to interpret the experimental lattice strain evolution previously reported for testing in three directions of a thick polycrystalline Zircaloy-2 slab. The model was used to infer the underlying deformation mechanisms. The influences of prism 銆 a 銆 slip, basal 銆 a 銆 slip, pyramidal 銆 c + a 銆 slip and tensile twinning were considered. The critical resolved shear stresses and hardening parameters for each mode were obtained by simultaneously ...
Source
#1Brian Plunkett (AFRL: Air Force Research Laboratory)H-Index: 4
#2Oana Cazacu (UF: University of Florida)H-Index: 30
Last. Fr茅d茅ric Barlat (Alcoa)H-Index: 70
view all 3 authors...
Abstract In this paper, yield functions describing the anisotropic behavior of textured metals are proposed. These yield functions are extensions to orthotropy of the isotropic yield function proposed by Cazacu et al. (Cazacu, O., Plunkett, B., Barlat, F., 2006. Orthotropic yield criterion for hexagonal close packed metals. Int. J. Plasticity 22, 1171鈥1194). Anisotropy is introduced using linear transformations of the stress deviator. It is shown that the proposed anisotropic yield functions rep...
Source
Cited By217
Newest
#1Xinde Huang (Chongqing University)H-Index: 6
#2Yunchang Xin (Nanjing Tech University)H-Index: 34
Last. W.J. Li (Chongqing University)H-Index: 3
view all 5 authors...
Abstract null null A TD-tilted basal texture in Mg alloys often generates a strong planar mechanical anisotropy. Unfortunately, there has been not a quantitative study on this issue. In the present study, the mechanisms for the anisotropy of tensile yield strength in RD-TD plane were quantitatively studied for a Mg-2Zn-1Ca alloy with different grain sizes and textures. Here, RD and TD refer to the rolling direction and transverse direction of the plate. The results show that there is a strong pl...
Source
Abstract null null A comprehensive study of grain size effect on twins, slips and work hardening of rhenium during tension was conducted using EBSD and SEM analysis. Slip/twinning trace and Schmid factor (SF) were analyzed to elucidate the activities of deformation modes. The deformation behavior was found to be sensitive to grain size. Non-basal slips and {11 null null null 2 null 炉 null null null 1} null null null null 1 null 炉 null null null null null null null 1 null 炉 null null null 26> ext...
Source
#1F.H. Wang (SJTU: Shanghai Jiao Tong University)H-Index: 1
#2H. Qiao (McMaster University)H-Index: 12
Last. Peidong Wu (McMaster University)H-Index: 55
view all 6 authors...
Abstract null null The EVPSC-TDT model is employed to mimic the stabilized stress-strain hysteresis loops of the rolled AZ31B plate under cyclic loading in different material orientations. The predicted stabilized stress-strain hysteresis loops for different material orientations are generally in good agreement with the corresponding experimental data. The key features associated with twinning and detwinning are interpreted in terms of activities of deformation modes. To appropriately mimic the ...
Source
#1Chao Ma (Xuzhou Institute of Technology)H-Index: 5
#2Xing Duan (CUMT: China University of Mining and Technology)
Last. Peidong Wu (McMaster University)H-Index: 55
view all 6 authors...
The deformation behavior of rolled Mg alloy AZ31, previously compressed along the rolling direction (RD), was numerically investigated under reverse tension. The EVPSC-TDT model was employed to study the effect of pre-strain on detwinning for 3%, 6% and 9% pre-compressed materials along the RD. A new criterion was proposed to control the exhaustion of detwinning under reverse tension. Numerical results show good agreement with the corresponding experimental data. It was demonstrated that the pro...
Source
#1S. Kweon (SIUE: Southern Illinois University Edwardsville)H-Index: 9
#2Daniel S. Raja (SIUE: Southern Illinois University Edwardsville)H-Index: 2
Many computational papers have dealt with twinning in a crystal plasticity framework. Considerable former works have proposed constitutive theories based on continuum mechanics and crystal plasticity to consider the complex response of materials deformed by twinning. However, many of the former computational twinning papers did not provide the detailed implementation procedures that were used to produce their simulation results. Given that the mechanical response of materials deformed by twinnin...
Source
Abstract null null The plastic deformation and the failure behavior of a third generation magnesium AZ31 sheet is studied under quasi鈥搒tatic tensile, compressive, and mixed mode loading conditions at room temperature. While the deformation anisotropy is found to be less pronounced compared to previously investigated rolled sheets of this alloy, a strong dependence of the failure strain on the sheets orientation is experienced. This failure anisotropy is further studied and quantified using mixed...
Source
#1J. Kuang (Xi'an Jiaotong University)H-Index: 14
#2Yuqing Zhang (Xi'an Jiaotong University)
Last. Jun Sun (Xi'an Jiaotong University)H-Index: 55
view all 6 authors...
Abstract null null null null null null { null null 10 null null 1 null 炉 null null 2 null null } null null null null twins were introduced into the magnesium (Mg) plate AZ31 via pre-rolling along its transverse direction. The plates, both with and without the pre-induced null null null null { null null 10 null null 1 null 炉 null null 2 null null } null null null null twins, were subjected to uniaxial tension along different directions. Using crystal plasticity modeling, we found that the strengt...
Source
#1Yao Cheng (Chongqing University)H-Index: 4
#2Adrien Chapuis (Chongqing University)H-Index: 18
Last. Peidong Wu (McMaster University)H-Index: 55
view all 5 authors...
Abstract null null The mechanical properties of magnesium alloy AZ31 were investigated experimentally with visco-plastic self-consistent modeling. Tension, compression and plane strain compression (PSC) tests were performed along 3 directions of a hot rolled plate, and the material parameters input in the model were fitted with the uniaxial stress-strain curves. The critical resolved shear stress (CRSS) for tension twinning was modeled with a modified Voce hardening law first decreasing, and the...
Source
#2Zhe ChenH-Index: 13
Last. John E. AllisonH-Index: 40
view all 5 authors...
Source
#1Huamiao Wang (SJTU: Shanghai Jiao Tong University)H-Index: 25
#2X. Sun (SJTU: Shanghai Jiao Tong University)
Last. Peidong Wu (McMaster University)H-Index: 55
view all 7 authors...
Abstract null null To overcome the limitation in formability at room temperature, manufacturers have developed magnesium alloys with remarkable properties by adding rare-earth elements. The rare-earth magnesium alloys behave differently from the conventional alloys, especially with respect to their coupled anisotropic and strain rate sensitive behavior. In the current work, such behavior of the rare-earth Mg alloy ZEK100 sheet at room temperature is investigated with the aid of the elastic visco...
Source
This website uses cookies.
We use cookies to improve your online experience. By continuing to use our website we assume you agree to the placement of these cookies.
To learn more, you can find in our Privacy Policy.