Simulation of deformation twins and deformation texture in an AZ31 Mg alloy under uniaxial compression

To investigate deformation twins and the evolution of deformation texture during plastic deformation, uniaxial compression tests on a hot-rolled AZ31 Mg alloy were carried out at 200 °C. Cylindrical specimens were then compressed in both the rolling and the normal directions. The findings revealed that texture evolution, work hardening and macroscopic anisotropy are strongly dependent on the loading direction. Electron backscattered diffraction analysis was used to examine the orientation of parent grains and twin bands in the AZ31 Mg alloy under uniaxial compression. A viscoplastic self-consistent model (VPSC) was theoretically employed to calculate the relative activities of slip and twin systems in polycrystalline hexagonal aggregates under uniaxial compression. Each deformed grain exhibited an independent number and type of twin variants under uniaxial compression. Neutron diffraction was used to measure the macroscopic texture of the AZ31 Mg alloy. The VPSC model was used to simulate texture evolution, work hardening and macroscopic anisotropy during the uniaxial compression. A modified predominant twin reorientation (PTR) scheme was suggested to explain the gradual increase in twin volume in deformed grains.     

AZ31B镁合金板材中晶界滑移的晶体塑性仿真

建立一种耦合滑移、动态再结晶以及晶界滑移的晶体塑性模型以仿真镁合金的高温变形行为及织构演化.首先,通过实验测量单轴拉伸、压缩后的织构以及显微组织演化,研究AZ31B镁合金在300°C的变形机制.结果发现,动态再结晶在应变小于0.2时起到细化晶粒的作用,之后晶界滑移在变形过程中起显著作用.此外,建立晶界滑移模型来评估由晶...     

基于VPSC仿真的ZK60镁合金拉伸变形行为

通过实验和粘塑性自洽（VPSC）模型,研究了在室温下挤压态ZK60镁合金沿不同方向拉伸时的变形机制开动情况,及其与流动曲线、织构演变和显微组织的对应关系。通过调节VPSC模型的参数,建立了滑移和孪生耦合的晶体塑性力学模型。比较了不同方向拉伸过程中织构演变的差异,分析了变形机制对屈服不对称性的影响。实验和模拟结果表明：当沿垂直于挤压方向（PED）拉伸时,由于｛102｝孪晶开动,大部分晶粒发生大角度旋转（约90°）。柱面<a>滑移是导致ZK60合金沿不同方向拉伸时出现明显屈服不对称的主要变形机理。当ZK60合金沿挤压方向（ED）拉伸时,由于晶粒的择优取向分布,｛101｝孪晶难以开动,导致ZK60挤压态镁合金拉伸屈服强度较高。ZK60镁合金沿着与ED成45°的方向拉伸时,屈服应力高于沿PED拉伸,但随着拉应力逐渐增大,由于沿PED拉伸时柱面<a>滑移逐渐开动,沿PED应变后期的应力曲线逐渐高于沿与ED成45°方向应变的应力曲线。     

Flow stress and softening behavior of wrought magnesium alloy AZ31B at elevated temperature

1　INTRODUCTIONThewroughtmagnesiumalloyshaveexcellentspecificstrengthandstiffness ,machinability ,dampcapacity ,dimensionalstability ,lowmeltingcostsandare ,hence ,veryattractiveinsuchapplicationsasau tomobile ,aviation ,electronicandcommunicationin dustry[16 ] .Investigationsontheflowstressandsofteningbehaviorofmagnesiumalloysathigherformingtem peratureandstrainratehavebeenanimportantsub jectinwroughtmagnesiumalloysforming[710 ] .InthispapertheflowstressandsofteningbehaviorofAZ31Bdeform…     

AZ31B镁合金塑性变形动态再结晶的实验研究

通过不同应变速率和不同温度下的轴对称压缩试验,研究了AZ31B镁合金塑性变形与动态再结晶的相互依赖关系。研究证实,温度T在200℃～400℃区间、变形程度ε约0.2左右时,开始出现动态再结晶(DRX)现象。随变形程度的增加,DRX晶粒不断增多,材料呈现明显的软化趋势,流动应力下降。当DRX过程完成以后,继续变形,材料又出现硬化行为。为镁合金塑性变形组织演变的定量研究打下了基础。     

Simulation of stress concentration in Mg alloys using the crystal plasticity finite element method

A crystal plasticity finite element method (CPFEM), considering both crystallographic slip and deformation twinning, was developed to simulate the spatial stress concentration in AZ31 Mg alloys during in-plane compression. A predominant twin reorientation (PTR) model was successfully implemented to capture grain reorientation due to deformation twinning in twin-dominated deformation. By using the direct mapping technique for electron backscatter diffraction (EBSD) data, CPFEM can capture the heterogeneity of stress concentration at the grain boundaries in AZ31 Mg alloys during in-plane compression. The model demonstrated that deformation twinning enhances the local stress concentration at the grain boundaries between untwinned and twinned grains.     

Effect of the initial texture components of hot-rolled BH steel on the evolution of deformation texture and stored energy during the cold-rolling process

A visco-plastic self-consistent polycrystal model was used to investigate the effect of texture gradients through the thickness direction of hot-rolled bake-hardening steel on the evolution of deformation texture and stored energy during a cold-rolling process. The theoretical texture evolution was in good agreement with the experimental texture evolution, as measured using the electron back-scattering diffraction technique. The VPSC polycrystal model was also used to explain the individual contribution of major texture components to the evolution of deformation texture and stored energy during cold-rolling. The results demonstated that the biased bimodal distribution of stored energy in major texture components contributed to a distinct bimodal distribution of stored energy at the center and surface regions of cold-rolled BH steel.     

Zr-4合金板材冷轧过程材料变形晶体塑性分析与织构演变

选取厚度为3.6mm具有典型双峰织构的Zr-4合金板材,利用电子背散射衍射（EBSD）技术对板材冷轧后的织构进行表征,利用粘塑性自洽（VPSC）模型对板材冷轧后的变形机理进行分析。VPSC模型预测了轧制道次数量、每道次压下量以及总变形量对冷轧织构以及变形机理的影响规律,结果表明Zr-4合金板材在冷轧后,织构保持典型的基面双峰织构;轧制道次数、单道次压下量对冷轧后的织构以及变形机理无明显影响;总变形量对冷轧后的织构有明显影响,随着轧制总变形量减小,大部分晶粒的c轴由法向（ND）向宽向（TD）转动;当变形量低于临近变形量39%时,法向科恩系数（Fn）随着变形量的增大而快速增大,柱面滑移开启快速降低,当变形量超过39%时,法向科恩系数（Fn）的增长趋于平缓,柱面滑移的开启趋于稳定。     

AZ31镁合金板材低温双向反复弯曲变形及退火过程的组织演化

对AZ31镁合金热轧板材在423 K进行了双向反复弯曲变形及523 K退火处理,利用OM及SEM/EBSD技术研究了该工艺过程中的组织和织构演化规律.结果表明,孪生为其主要的变形机制,随着变形道次的增加,靠近表面的晶粒中不断地累积孪生变形,并最终被高密度的孪晶分割细化;而中部组织变化不大,仅有少量孪晶产生;样品趋向于形...     

Reorientation and stress relaxation due to twinning: Modeling and experimental characterization for Mg

A study of the mechanical response of Mg AZ31 when deformed under twinning dominated conditions is presented. In addition to the well-known rapid texture variation, neutron diffraction measurements reveal a ‘sense-reversal’ of the internal stress in the twinned grains. The latter is characterized experimentally and an elasto-plastic polycrystal model is extended in order to account for twin domain reorientation and associated stress relaxation. It is concluded that the texture variation due to twinning is sufficient to explain the observed macroscopic stress–strain response. However, the evolution of internal stresses in diffracting subsets of grains is complex and more challenging to explain. It seems to be strongly controlled by the order in which slip and twinning are activated, the stress relaxation associated with twin propagation, and neighbor constraint effects.     

AZ21镁合金降温多向压缩过程中的组织和微观织构演化

对AZ21镁合金进行了降温多向压缩变形,利用OM及SEM/EBSD技术观察和分析了其显微组织和微观织构的演化.结果表明,随着变形道次的增加,晶粒尺寸迅速减小,经4道次的变形晶粒可细化至0.8μm.高温变形时生成的相互交叉的扭折带可将原始晶粒有效地分割而细化.673 K第1道次变形至ε=1.2时,几乎所有的晶粒都发生了90°的转动,基面由变形前平行于压缩方向转至与压缩方向垂直,基面织构强度先减小后增大;第2道次变形时,织构变化与第1道次基本一样,表现为与变形温度无关,仅取决于变形程度.第2道次变形后织构强度低于第1道次,变形道次的增加可以弱化织构.     

AZ31镁合金压缩变形微观织构演变规律

采用电子背散射衍射(EBSD)原位跟踪实验方法研究了AZ31镁合金压缩变形微观织构演变规律。在温度为170℃条件下,研究了AZ31镁合金轧制板材经过3次连续真空压缩(变形量分别为11%、17%和23%)时,其相同观察区域的微观织构演变。研究结果表明,AZ31镁合金轧制板材的微观织构为典型的(0001)基面织构。当温度为170℃、变形量为11%时,晶粒取向发生显著改变,大部分晶粒都发生了完全孪生,只有少数发生部分孪生,原始的基面轧制织构大幅减弱,孪生变体符合60°/1010和86.3°/1210取向关系。随着变形量的增加,滑移开始启动,孪晶晶界减少,织构变化不明显。压缩变形过程微观织构演变机理主要以拉伸孪生为主,基本上没有压缩孪生出现。     

基于3D CA的AZ31镁合金动态再结晶行为研究

本文建立了三维元胞自动机(3D-CA)模型,通过热压缩试验和电子背散射衍表征技术(EBSD),对AZ31镁合金在热变形过程中的微观组织演化规律进行可视化和定量预测。根据试验得出的真应力-应变曲线,确定了3D-CA模型参数在试验条件下的取值,建立了模型参数与变形条件(应变、变形温度和应变速率)之间的关系。利用所建立的3D-CA模型,对AZ31镁合金在热变形过程中的流动行为和微观组织演化进行模拟和讨论。结果表明:再结晶体积分数随着应变的增大而增加,随着变形温度的增大或应变速率降低而增大,提高应变速率或降低温度可以细化再结晶晶粒。模拟结果与实验结果吻合较好,相对误差值在4.5%-16.2%之间,所建立的3D-CA模型能够较准确地预测镁合金AZ31的微观组织演化。     

初始织构对AZ31镁合金孪生和织构演化的影响

为研究AZ31镁合金变形孪晶和塑性各向异性,基于率相关晶体塑性本构理论,采用有限元方法建立了具有不同初始织构的镁合金模型（包含滑移和孪生变形机制）,并引入孪晶体积分数,研究其压缩过程中织构演变、孪生和力学性能之间的关系。结果表明：晶体的塑性行为在很大程度上取决于初始织构,初始织构的差异导致了压缩行为的明显各向异性,轴向屈服强度和抗拉伸强度高,径向屈服强度和抗拉伸强度低。压缩塑性变形过程中随着变形量的增加,激活孪晶体积分数增高,且径向压缩激活孪晶体积分数越高,轴向压缩激活孪晶体积分数越低。模拟中出现明显孪晶的点与应力突变的点相吻合,当孪晶体积分数达到一定值时,应力发生突变,此时晶体取向发生显著变化,新的滑移系启动,反映了滑移和孪晶机制耦合对AZ31镁合金力学性能的影响。     

Compressive deformation behavior of AZ31 magnesium alloy under quasi-static and dynamic loading

Compressive properties of AZ31 alloy were investigated at temperatures from room temperature to 543 K and at strain rates from 10-3to 2×10 4s-1.The results show that the compressive behavior and deformation mechanism of AZ31 depend largely on the temperature and strain rate.The flow stress increases with the increase of strain rate at fixed temperature,while decreases with the increase of deformation temperature at fixed strain rate.At low temperature and quasi-static condition,the true stress-true strain curve of AZ31 alloy can be divided into three stages(strain hardening,softening and stabilization) after yielding.However,at high temperature and high strain rate,the AZ31 alloy shows ideal elastic-plastic properties.It is therefore suggested that the change in loading conditions(temperature and strain rate) plays an important role in deformation mechanisms of AZ31 alloy.     

Through-process simulation of texture and properties during the thermomechanical processing of aluminium sheets

Computer-based alloy and process development requires the integration of models for simulating the evolution of microstructure, microchemistry and crystallographic texture into process models of the thermomechanical production of Al sheet. In this paper, a softening model simulating the progress of recovery and recrystallization and the following texture changes is linked to deformation and microchemistry models. The possibility of such coupled simulations is illustrated by way of the thermomechanical processing of Al–Mn–Mg AA 3104 can stock. In particular, the impact of inter-stand recrystallization between the tandem hot rolling passes as well as recrystallization during coil cooling (“self-annealing”) on the resulting hot strip and final gauge textures are explored. Finally, the predicted textures are input into a polycrystal–plasticity model to simulate anisotropic properties (earing behaviour) of the sheets. Thus, it is possible to link the materials properties at final gauge to the decisive steps of deformation and recrystallization along the thermomechanical process chain.     

Improving single pass reduction during cold rolling by controlling initial texture of AZ31 magnesium alloy sheet

The AZ31 magnesium alloy sheets obtained by multi-pass hot rolling were applied to cold rolling and the maximum single pass cold rolling reduction prior to failure of AZ31 magnesium alloy was enhanced to 41%. Larger single pass rolling reduction led to weaker texture during the multi-pass hot rolling procedure. The sheet obtained showed weak basal texture, while the value was only 1/3–1/2 that of general as-rolled AZ31 Mg alloy sheets. It was beneficial for the enhancement of further cold rolling formability despite of the coarser grain size. The deformation mechanism for the formation of texture in AZ31 magnesium alloy sheet was also analyzed in detail.     

AZ31镁合金热变形流动应力预测模型

采用近等温单轴压缩实验获得了AZ3l镁合金变形温度为523 723 K,应变速率为0.01—10 s^-1条件下的流动应力,分析了变形温度和应变速率对流动应力的影响规律.结果表明,AZ31镁合金变形过程中发生了动态再结晶,523 K时形成细小组织;而723 K时动态再结晶和长大的晶粒沿径向拉长.考虑实验过程塑性变形功和摩擦功引起的温度升高,在高应变速率条件下采用温度补偿修正了流动应力.在此基础上,建立了基于双曲正弦模型的峰值流动应力和统一本构关系,该模型利用材料参数耦合应变来描述流动应力的应变敏感性,进一步获得了合金热变形过程中流动应力与变形温度、应变速率和应变的定量关系.采用该本构关系模型预测流动应力具有较高的精度,预测值与实测值相关系数为0.976,平均相对误差为5.07%,实验条件范围内预测的流动应力与实验值几乎能保持一致.     

Coupled Influence of Temperature and Strain Rate on Tensile Deformation Characteristics of Hot-Extruded AZ31 Magnesium Alloy

To explore the coupled effect of temperature T and strain rate_e on the deformation features of AZ31 Mg alloy,mechanical behaviors and microstructural evolutions as well as surface deformation and damage features were systematically examined under uniaxial tension at T spanning from 298 to 523 K and_e from 10-4to 10-2s-1. The increase in T or the decrease in_e leads to the marked decrease in flow stress, the appearance of a stress quasi-plateau after an initially rapid strain hardening, and even to the occurrence of successive strain softening. Correspondingly, the plastic deformation modes of AZ31 Mg alloy transform from the predominant twinning and a limited amount of dislocation slip into the enhanced non-basal slip and the dynamic recrystallization(DRX) together with the weakened twinning. Meanwhile, the cracking modes also change from along grain boundaries(GBs) and at twin boundaries(TBs) or the end of twins into nearby GBs where the DRX has occurred. The appearance of a stress quasi-plateau, the formation of large-sized cracks nearby GBs, and the occurrence of continuous strain softening, are intimately related to the enhancement of the non-basal slip and the DRX.     

Dynamic recrystallization and texture development during hot deformation of magnesium alloy AZ31

The dynamic recrystallization(DRX) and texture development, taking place during hot deformation of magnesium alloy AZ31 with a strong wire texture, were studied in compression at 673 K (0.73 Tm). Two kinds of samples were machined parallelly to the extruded and transverse directions of Mg alloy rods. New fine grains are evolved at original grain boundaries corrugated at low strains and develop rapidly in the medium range of strain, finally leading to a roughly full evolution of equiaxial fine grains. Kink bands are evolved at grain boundaries corrugated and also frequently in grain interiors at low strains. The boundary misorientations of kink band increase rapidly with increasing strain and approach a saturation value in high strain. The average size of the regions fragmented by kink band is almost the same as that of new grains evolved in high strain. These characteristics of new grain evolution process are not changed by the orientation of the samples, while the flow behaviors clearly depend on it. It is concluded that new grain evolution can be controlled by a deformation-induced continuous reaction, i.e. continuous dynamic recrystallization(DRX). The latter is discussed by comparing with conventional, i.e. discontinuous DRX.