平面应变板料拉弯成形回弹理论分析

基于平面应变假设,采用服从Hill平方屈服准则和指数强化材料模型,建立了板料拉弯成形回弹量预测的理论模型。应用该模型计算了一个拉弯成形回弹实例,分析了单位宽度切向拉力、凸模圆角半径、摩擦因数及各向异性参数对板料回弹量的影响。分析结果表明,只有当中性层偏移距离超过板厚的四分之一时,增大切向拉力才能有效地控制板料回弹量,而且弯曲半径越大,增大切向拉力控制板料的回弹量越为有效,然而拉力不能无限制的增大,它的计算准则为板料最外层的等效应变应不大于极限应变。同时还表明,摩擦因数对板料回弹量的影响随切向拉力的增大变得更为显著,而各向异性参数对板料拉弯成形回弹量的影响也较为明显。与有限元数值模拟预测结果的对比表明,理论模型预测板料拉弯成形回弹量与有限元数值模拟结果很接近。     

Twist springback characteristics of dual-phase steel sheet after non-axisymmetric deep drawing

This paper aims to investigate the twist springback characteristics of advanced high strength steel sheet subjected to deep drawing. A C-rail benchmark, which leads to a particularly pronounced twist springback characteristics, was developed. For an accurate numerical modeling of the process, a non-quadratic anisotropic yield criterion integrated with combined isotropic and kinematic hardening model was used to describe the strain-stress behavior including anisotropy and Bauschinger effects. The corresponding mechanical experiments, namely uniaxial tension and forward-reverse simple shear tests were performed to determine the material parameters. The digital image correlation technique was applied for component tests as well as the deformation and stress-strain analysis. The experimental validation of the elastic-plastic finite element model was assessed by comparing maximum in-plane strain, thickness reduction distribution and twist springback of the drawn rail. To explore the source of twist springback, the deformation associated with in-plane stress and bending moment was analyzed. The results indicate that the bending moment before springback caused by non-symmetric stress states play an important role in twist springback and control. Certain regions of the die radius were varied in a numerical analysis to control the bending moment for the minimization of twist springback as well as the preliminary results of the relationship between the ratio of variable die radius and twist springback.     

基于不同强化模型的GTN损伤模型及其在板料回弹有限元分析中的应用

为了进一步提高板料成形中的回弹预测精度,分别建立了基于Ziegler 线性随动强化模型、Lemaitre-Chaboche 非线性随动强化以及非线性混合强化模型的Gurson-Tvergaard-Needleman(GTN)细观损伤本构模型,并给出有限元数值积分方法。通过用户自定义材料子程序VUMAT 将损伤模型嵌入到有限元软件ABAQUS 中,以NUMISHEET’93 板料U 型弯曲考题为例,应用显隐相结合的方法模拟分析了不同材料强化模型和损伤对板料回弹量的影响。结果表明:在相同GTN 损伤模型情况下,线性随动和非线性随动强化模型预测得到的板料回弹量较小,等向强化预测的板料回弹量偏大,非线性混合强化预测的板料回弹量介于它们之间。材料模型在考虑损伤因素后,预测的回弹严重程度比无损伤情况时略小,与实验值更相近。     

板料弯曲回弹影响因素的有限元模拟研究

通过静态力学、动态力学实验方法,研究了热致性液晶聚合物(LCP)的种类对环氧树脂共混物在不同温度下的拉伸强度和应力-应变曲线的影响,通过TEM观察了共混物的相形态结构.结果表明,反应型液晶聚合物(LCPU)比其它种类的液晶聚合物对环氧树脂的改性效果更好;在不同温度下,其拉伸强度和应力～应变行为均比其它材料优越;固化物的动态力学结果表明:反应型的液晶聚合物键入了固化网络,出现新的松弛,TEM结果表明,反应型的液晶聚合物在基体材料中形成大小在nm数量级的液晶聚集微区,没有反应基团的液晶聚合物PHBHT在10%的加入量下,与环氧的共混物结构也有液晶聚集微区产生,但是聚集区大小在微米量级.     

Springback investigation of anisotropic aluminum alloy sheet with a mixed hardening rule and Barlat yield criteria in sheet metal forming

A mixed hardening model has been implemented based on Lemaitre and Chaboche non-linear kinematic hardening theory to consider cyclic behavior and the Bauschinger effect. The Chaboche isotropic hardening theory is incorporated into the non-linear kinematic hardening model to introduce a surface of nonhardening in the plastic strain space. The bending and reverse bending case study has verified the effectiveness of the mixed hardening model by comparison with the proposed experiment results. Barlat’89 yielding criterion is adopted for it does not has any limitation while Hill’s non-quadratic yield criterion is for the case that the principal axes of anisotropy coincides with principal stress direction. The Backward–Euler return mapping algorithm was applied to calculate the stress and strain increment. The mixed hardening model is implemented using ABAQUS user subroutine (UMAT). The comparisons with linear kinematic hardening model and isotropic hardening model in NUMISHEET’93 benchmark show that the mixed hardening model coupled with Barlat’89 yield criteria can well reflect stress and strain distributions and give a more favorable springback angle prediction.     

金属薄板循环塑性强化模型及实验研究进展

金属薄板塑性成形及回弹预测精度在很大程度上取决于所采用的强化模型能否对材料变形行为准确描述。梳理了各向同性强化模型、随动强化模型、旋转强化模型、畸变强化模型以及各类微观强化模型,对不同模型的特点及局限性进行了分析。同时,总结并讨论了标定强化模型中材料参数的各类循环加载实验方法。针对强化模型参数识别的问题,总结了常用的参数标定方法,分析了影响识别精度的因素。最后,介绍了不同强化模型在回弹预测方面的应用并分析了影响预测精度的因素。     

树脂复合减振钢板U型弯曲回弹实验与数值模拟研究

通过带法兰边的U型弯曲成形实验研究,考察了树脂复合减振钢板在不同压边力下的回弹特性.实验结果表明:压边力对树脂复合减振钢板回弹特性影响显著.较大的压边力有利于减小回弹缺陷.其次,考虑树脂层的粘弹性特性,采用非线性粘弹性模型来描述树脂层的力学变形行为,并采用Cohesive单元和固体壳单元分别对树脂层和表层钢板进行离散,进行了树脂复合减振钢板在不同压边力下的U型弯曲有限元数值模拟研究.和实验结果比较表明,所建立的有限元模型能够较好的模拟U型弯曲成形过程.最后,基于建立的有限元模型,考查了成形速度,树脂层厚度和表层钢板初始屈服应力对回弹的影响.参数分析结果表明:这三个参数对回弹角的影响显著.该研究对树脂复合减振钢板冲压工艺设计具有一定的指导意义.     

高强钢板冲压成形的回弹规律与工艺参数研究

高强钢板冲压成形的回弹问题在很大程度上制约了其深入应用,合理的工艺是减少回弹的关键和有效途径之一.建立了曲面扁壳件冲压成形的有限元模型,基于正交试验法研究了工艺参数,包括压边力、摩擦系数、板厚以及拉深筋的布置方式对回弹的影响规律,采用普通钢板和高强钢板分别进行了冲压成形实验,并与数值模拟结果进行对比.结果表明,高强钢板冲压成形的回弹较大,但通过合理的压边力和拉深筋布置方式可以实现高强钢板冲压成形回弹的有效控制.     

Coupling effects of material properties and the bending angle on the springback angle of a titanium alloy tube during numerically controlled bending

The significant springback after the numerically controlled (NC) bending of a titanium alloy tube has an important influence on the precision of the shape and size of the bent tube. This springback depends on the material properties of the tube, the bending angle, and especially their coupling effects. The influence of some material properties and the bending angle on the springback angle in the NC bending of a TA18 tube were investigated using a three-dimensional (3D) elastic–plastic finite element model. Using multivariate and stepwise analyses, the coupling effects of the bending angle and the material properties on the springback angle during NC bending were revealed. It was observed that Young’s modulus, yield stress, the strain hardening coefficient and exponent, and the thickness anisotropy exponent, as well as interactions of these parameters with the bending angle, have a significant influence on the springback angle. The bending angle, yield stress, and hardening coefficient have positive effects on the springback angle, and Young’s modulus, the hardening exponent, and the thickness anisotropy exponent have negative effects. The influence of the material properties of the titanium alloy increases with the bending angle. Young’s modulus and the strain hardening coefficient and exponent have the greatest influence on the springback angle. The results will be very useful in predicting, compensating for and controlling the springback of titanium alloy tubes during NC bending.     

考虑初始残余应力的板料弯曲回弹理论分析

在实际弯曲加工过程中,板料内部如果带有初始残余应力,将与弯曲应力发生叠加,对板料的回弹产生一定的影响。由于传统的回弹理论都没有考虑初始残余应力的影响,该文基于平面应变假设,采用服从Mises屈服准则和线性强化材料模型,推导了考虑初始残余应力的板料弯曲回弹角近似公式并基于有限元软件ABAQUS进行了残余应力板料弯曲回弹仿真对比分析。理论计算与仿真结果具有较好的一致性,验证了理论模型的正确性。研究结果表明,残余应力和厚度对板料回弹均有较大影响:沿宽度方向,不同初始残余应力处的板料回弹并不均匀;增大初始残余应力峰值和减小板料厚度均使不同初始残余应力处板料的回弹差值增大。     

材料硬化模式对弯曲回弹模拟精度的影响

回弹的模拟精度低，是几乎所有软件在计算大型复杂件的回弹时都存在的缺点，因此提高回弹模拟精度成为回弹仿真研究的重点和难点，利用自主开发的二维弹塑性有限元程序，分别采用线性硬化模型和弹塑性幂次硬化模型对V型自由弯曲的回弹进行模拟，探讨材料硬化模式对回弹模拟精度的影响，特别对于硬化模型中代表弹性变形阶段的重要参数一弹性模量，考虑了其随塑性变形进行而发生的变化，结果表明：材料的硬化模式直接影响回弹模拟精度，而采用的硬化模式越能真实地反映材料变形规律，回弹模拟的精度就越高，尤其是采用随塑性变形而发生变化的弹性模量，使模拟精度进一步提高。     

Development and application of the material constitutive model in springback prediction of cold-bending

The accuracy for cold-bending springback prediction is determined by the sensitivity and accuracy of the material constitutive model. Thus, the material constitutive model is developed and improved by many researchers, and the improved models are applied in the springback calculation with various materials in finite element simulation or theoretical analysis. To provide a reference for the researchers studying cold-bending springback problems, a review of the development and application of the material constitutive models is presented in this paper, which conducts from the elastic behavior, the anisotropy, and the work-hardening. It can be summarized as: (1) Springback prediction result is higher and more accurate when the variable elastic modulus and the nonlinear recovery are considered. (2) The isotropic hardening leads to an overestimation of the springback, which can be avoided by a hardening model describing the Bauschinger effect. (3) The hardening model has greater impact on springback than the yield criterion. (4) Good accuracy of the springback prediction can be achieved when the variable elastic modulus effect, the material anisotropy and the nonlinear hardening are considered together. It is also found the theory development and practical application of the material constitutive models are out of line, due to lacking further experiment, or that the stress loading–reloading history within a bending part may be not so complex as that “ratchetting behavior” discussed.     

铝合金-聚合物复合层板弯曲回弹理论分析

针对铝合金-聚合物复合层板弯曲回弹问题,分析了复合层板弯曲过程表面层铝板及中心层聚合物的变形特征,建立了复合层板平面应变纯弯曲回弹理论分析模型.采用建立的模型预测了复合层板纯弯曲过程回弹角变化,并与实验结果进行了对比,分析了聚合物层厚度及铝合金板材力学性能对回弹的影响规律.结果表明:随着中心聚合物层厚度的增加,复合层板回弹角降低;随着表面层铝板强度的降低,复合层板回弹角减小.理论预测结果与实验结果一致,说明了本文推导的理论模型的可靠性.     

拼焊板U形件弯曲成形回弹补偿和焊缝移动规律研究

为了提高预测回弹的准确性,选用了拼焊板U形件作为研究对象,运用Dynaform软件,进行冲压成形和回弹的有限元数值模拟研究,得出了压边力、板料强度以及板料厚度对焊缝移动的影响规律,并探讨了焊缝、压边力、材料性能参数和板料厚度对回弹的影响,最终进行回弹补偿与实验验证.研究结果表明随着压边力的增大,焊缝向厚侧移动;板料强度不同时,焊缝向强度高的一侧移动;厚度不同时,焊缝向板料厚的一侧移动;焊缝会令板料的回弹量增大;随着压边力的增大,回弹量减小;弹性模量相同的条件下,材料屈服极限σs越高,回弹角越大;材料硬化指数n越小,回弹角越大;保持厚侧板料不变的情况下,另一侧板料越薄,回弹量越大.     

屈服准则和硬化模型对5052铝板回弹仿真的影响

为选择适合于5052铝合金回弹仿真的材料模型,对LS-Dyna软件中4个材料模型MAT_36、MAT_122、MAT_125和MAT_226所采用的屈服准则和硬化模型进行了分析,采用这4个模型对5052铝板U形件的回弹进行了仿真,对回弹过程中圆角区的应力释放进行了讨论.同时,进行了U形件的回弹试验,并与仿真结果进行了比较.结果表明,4个材料模型中,基于Yoshida-Uemori随动硬化模型和Barlat’89屈服准则的材料模型MAT_226具有最好的回弹预测精度,由各向同性硬化模型和Hill’48屈服准则组合的材料模型MAT_122的回弹预测结果与试验结果的偏差最大.硬化模型对回弹预测精度的影响大于屈服准则的影响.     

基于Yoshida-Uemori材料模型的汽车结构件冲压回弹分析

Yoshida-Uemori随动硬化材料模型能够准确描述应变路径发生变化时材料性能的改变,从而较好地反映复杂加载情况下材料的各向异性.本文基于JSTAMP件分别采用Yoshida-Uemori随动硬化材料模型和各向同性硬化材料模型对汽车高强钢结构件的冲压成形进行了仿真分析与回弹预测,研究了不同材料硬化模型对回弹预测精度...     

Influence of size effect on the springback of sheet metal foils in micro-bending

To analyze the unloading springback of sheet metal foils after micro-bending process, a constitutive model is proposed based on the surface layer model by which the sheet foil is divided into surface layer and inner portions. For the inner portion, each grain is envisaged as a composite, comprised of grain interior and grain boundary work-hardened layer. The classical composite model is then used to calculate its flow stress. For the surface layer portion, a model without grain boundary strengthening is constructed to represent the flow stress in this zone. The developed method is verified through the comparison of the calculated strain–stress curves with the tensile test results of four kinds of pure copper sheet foils with different thicknesses ranging from 0.1 mm to 0.6 mm. To investigate the effect of thickness and grain size on the springback of pure copper sheet foils, three-point bending tests are carried out. A finite element (FE) model for predicting the springback in micro-bending process is further developed, which takes into account the deformation behavior and orientation of each grain. The influences of grain size and thickness on the springback of sheet foils are investigated. The research results show that the decrease of sheet foil thickness or the increase of grain size results in a big springback. The scatter of springback angle is mainly attributed to the elastic anisotropy of surface grains and increases with the reduction of grains along the thickness direction. A good agreement between the experimental results and the analytical calculations shows that the developed FE model can predict the springback of sheet metal foils well in micro-bending process.     

Experimental strain-hardening behaviors and associated computational models with anisotropic sheet metals

Several anisotropic hardening models with simple loading conditions are proposed, including exponential hardening model, linear hardening model and multi-linear hardening model (which also suits for using the experimental data directly). Three special hardening curves, in the 0°, 45° and 90° angles, respectively, measured against the rolling direction, are the special cases of the proposed hardening models. These models make sense to be applied for simulating forming processes of the planar anisotropic hardening sheet metals, in particular for determining the springback and FLD of formed parts. In order to describe this view further, the constitutive relations of stress and strain, based on the plastic potential flow rule with isotropic hardening and kinematic hardening assumptions, have been discussed briefly. And then, the corresponding results of constitutive relations dependent on the proposed hardening models of materials will be represented, respectively.     

Influence of Bauschinger effect on springback and residual stresses in plane strain pure bending

A finite deformation elastic plastic analysis of plane strain pure bending of a wide sheet is presented. The general closed-form solution is proposed for a kinematic hardening law assuming that the material is incompressible. The stage of unloading is included in the analysis to investigate the influence of the Bauschinger effect, elastic properties of the material and process parameters on the distribution of residual stresses and springback. A simple example is provided to illustrate the procedure for finding the solution and some quantitative features of the process.     

双向梯形夹芯板柱面弯曲成形回弹分析

整体弯曲成形是制造曲面夹芯板高效且经济的方法,其成形特点与回弹预测是重点研究方向。采用结合有限元的半解析法对双向梯形夹芯的力学参数进行推导,获得夹芯等效弹性常数,分析上、下面板不等厚夹芯板柱面弯曲成形时面板与夹芯的变形特点及应力中性层的变化,在此基础上建立夹芯板平面应变弯曲回弹理论计算模型,预测夹芯板弯曲成形的应力分布与回弹,并与数值模拟及多点弯曲成形实验结果进行对比。结果表明:夹芯板回弹量与中厚板十分接近,回弹量较小,易于控制成形精度;理论预测的横截面切向应力与回弹都偏大,其中上面板应力相对误差在2.9%以内,下面板应力相对误差在6.5%以内,下面板纵向中心截面线误差在1.0mm范围内,各项误差均在很小范围内,验证了本工作回弹计算模型的准确性。