CuZn37黄铜板料微塑性成形中的尺寸效应研究

为研究金属微塑性成形特点,对厚度不同及粗细两种晶粒尺寸的黄铜箔试样进行了单向拉伸和微弯曲实验,并采用经典塑性理论和应变梯度理论对弯曲回弹角进行了预测.粗晶粒板料试样单向拉伸实验表明,CuZn37黄铜的硬化曲线存在一种明显的尺寸效应,即板料厚度越小,屈服强度越高.弯曲回弹实验结果也存在另一种明显的尺寸效应现象,即板料厚度...     

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.     

小直径厚壁管材变曲率弯曲回弹预测

为快速、准确地预测管材变曲率的弯曲回弹,建立变曲率弯曲回弹预测的解析模型.基于ABAQUS平台建立小直径厚壁管材变曲率弯曲成形及回弹数值模拟模型,通过试验验证了所建模拟方法的可靠性.将变曲率回弹问题转化为离散定曲率回弹问题进行研究,通过近似纯弯曲回弹实验,建立管材定曲率弯曲回弹前后半径之间的函数关系式,将变曲率弯管轴线双圆弧拟合逼近离散,针对离散化的回弹弯管进行G1连续拼接,依据轴线复杂程度,构建拼接修正函数,建立管材变曲率弯曲回弹预测解析模型.通过2个试验算例验证该解析模型能够有效预测小直径厚壁管材平面变曲率弯曲回弹.回弹的准确预测是有效控制弯管回弹缺陷的前提,用于指导后续模具型面修正,补偿回弹误差,保证弯管几何精度.     

基于多尺度数值模型的复合材料各向异性热膨胀系数预测

依据复合材料内部纤维在基体内的排布规律及层合板铺层特性,基于多尺度方法,建立单层板和层合板代表性体积单元(RVE)模型,施加相应的边界条件,预测单层板的热膨胀系数和工程常数,进而预测复合材料层合板各向异性的等效热膨胀系数。通过与实验数据对比发现,基于正六边形单层板RVE模型预测的热膨胀系数,相比理论预测值,整体更接近实验值,其中预测的单向T300/5208碳纤维增强环氧树脂基复合材料、P75/934碳纤维增强环氧树脂基复合材料和C6000/Pi碳纤维增强环氧树脂基复合材料的横向热膨胀系数与实验结果的误差分别只有3%、1%和2%;采用单层板RVE预测的单向ECR/Derakane 510C玻璃纤维增强乙烯基酯树脂基复合材料的工程常数与实验值最大相差7.5%;层合板RVE模型预测的正交AS4/8552碳纤维增强环氧树脂基复合材料厚度方向的热膨胀系数与实验结果误差可以忽略,只有0.08%。最后以大型复合结构常用的正交铺层结构为研究对象,基于给出的单层板和层合板RVE模型预测了不同铺层复合材料烟道层合板的等效热膨胀系数,环向铺层比例对厚度方向的热膨胀系数影响较小。      

结构参数对复合材料V型构件固化变形影响试验及解析分析

为研究结构参数对复合材料V型构件固化变形的影响,完成了针对V型构件厚度、拐角半径、拐角角度及铺层等结构参数的变形影响研究试验。基于剪力滞后理论和弯曲理论,利用解析法建立了考虑结构参数影响的复合材料V型构件固化变形预测模型,利用模型预测了V型构件的回弹变形并分析了不同结构参数对V型构件回弹变形的影响机制。结果表明:回弹变形随着厚度的增大而减小,厚度为1~3mm之间,角度回弹变形差异最大在30%左右;回弹变形与拐角角度的补角呈约为0.014的比例;拐角半径的不同导致变形的差异不超过5%;准各向同性铺层试验件展现了最大回弹变形,0°铺层的变形减小了23.5%,90°铺层几乎不发生变形。模型分析结果表明,厚度主要通过弯曲刚度和剪切变形两方面影响回弹变形;铺层引起的力学性能和泊松效应的变化是使回弹变形有较大区别的主要原因;V型构件直边变形最大为0.20°,对回弹变形影响较大。变形预测结果与试验结果对比验证了解析法模型的准确性。     

管材数控弯曲回弹规律的有限元分析

回弹是管材弯曲卸载后必然发生的现象,并严重影响弯曲管件的精度和管材弯曲生产的效率.成形参数对管材弯曲卸载后的回弹有重要的影响.为了研究成形参数对回弹角的影响,基于弹塑性有限元软件ANSYS建立了管材数控弯曲及回弹的有限元模型,以不锈钢管弯曲及回弹过程为典型研究对象,实验验证了所建立的有限元模型的可靠性,并分析了部分工艺和材料性能参数对管材数控弯曲回弹的影响规律.结果表明:回弹角随弯曲角、芯棒与管壁间隙及材料硬化系数的增大而增大,随材料硬化指数的增大而减小.     

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。     

宽板大曲率半径纯弯曲回弹量理论分析

针对各向异性板料的大曲率弯曲回弹问题,建立了服从Hill屈服准则和指数强化模型的平面应变纯弯曲的回弹理论模型。应用该模型计算了Numisheet’2002无约束柱面弯曲回弹的考题,与实验结果和其它理论模型计算值的对比表明,模型的回弹结果与实验值很接近,其精度优于其它算法。同时还表明,屈服准则的选取对预测板料回弹量有着较大影响,而强化模型的影响则不是很显著。     

复合材料斜交层板柱状弯曲的翘曲修正模型

研究复合材料斜交层板的柱状弯曲问题,建立新的数值计算方法。在厚度方向,利用翘曲修正理论,推导出了层板面内位移的两个序列分布规律;在长度方向,采用升阶谱位移函数,应用最小势能原理,给出了层板柱状弯曲的特殊有限元模型。通过典型例题的计算表明:应力、位移在厚度方向的分布计算结果与精确弹性解符合很好。本文方法的自由度少,方法简单,优于一阶剪切理论、高阶理论,适用于解决层板弯曲问题。     

双模数复合材料角交铺设厚层板的弯曲特性分析

本文应用里兹法和有限层法［１］研究了简支条件下双模数复合材料角交铺设厚层板的弯曲，并研究了层板长宽比、正交各向异性比、多模数比以及铺层角对层板中心挠度的影响。     

An analytical model for bending and springback of bimetallic sheets

Springback is an inevitable phenomenon due to elastic redistribution of internal stresses occurring in sheet metal forming operations. Most of the research reported in this area has been concerned with the components formed from single metal. This article deals with the analytical solution for prediction of springback in bending of bimetallic sheets. A mathematical model is derived based on Woo and Marshall's constitutive equation, considering logarithmic strain (nonlinear) distribution across the thickness and thickness change during bending. Analytical modeling, based on logarithmic strain distribution across the thickness, can be used for accurate springback predictions in the case of smaller bend radius to the thickness ratio. The results of the springback and thickness change are validated using experimental results for the aluminum sheet layered with steel. Further, springback variation in bimetallic sheets is studied, with a change in material properties and thickness of each layer.     

铝合金板材磁脉冲辅助U形弯曲过程回弹数值模拟分析

目的揭示铝合金板材磁脉冲辅助弯曲成形对回弹的影响机理。方法基于两种磁脉冲辅助成形方案,采用数值模拟软件LS-DYNA,建立磁脉冲辅助U形弯曲的有限元模型。结果与准静态成形相比,磁脉冲辅助U形弯曲成形能减小板料圆角区的残余应力,方案Ⅰ板料圆角区等效塑性应变大于方案Ⅱ板料圆角区的等效塑性应变;电磁体积力能有效减小回弹,且放电能量越大,回弹角越小;磁脉冲辅助U形弯曲成形能减小板料的弹性应变能。结论相同放电电压下,方案Ⅰ的回弹控制效果好于方案Ⅱ的回弹控制效果。磁脉冲辅助U形弯曲减小回弹的主要原因是板料圆角区残余应力的减小和弹性应变能的降低。     

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.     

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。     

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.     

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。     

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.     

A study on sheet formability by a stretch-forming process using assumed strain FEM

The effects of sheet thickness and frictional condition between the punch and sheet on formability is predicted and compared with the experimental results of the Erichsen test as a stretch-forming process. The material and geometrical nonlinearity are considered. A hypoelastic–plastic model is used and strain-field stabilization is taken into account using the Assumed Strain Finite-Element Method. By considering the contact problem and applying the nonlinear finite-element method, the force and dome height for aluminum and steel sheets are computed and compared with the experimental results. The Oyane criterion is used to access the formability of the sheet. A good agreement was found between the experimental and predicted formability results of aluminum and steel sheets. The results show that for decreasing friction coefficient the position of tearing is moved from the rim to the pole. Also, by increasing the work-hardening exponent, formability is increased.     

Effects of crystal orientation on bendability of aluminum alloy sheet

We investigated the effects of crystal orientation on the bendability of aluminum alloy sheets by experiments using single crystal specimens and finite element analysis using a crystal plasticity model. In the experimental investigation, single crystal specimens having cube and Goss orientations were made from a coarse-grained Al-Mg-Si alloy sheet. The cube single crystal specimens have shown an excellent bendability regardless of the bending direction. Meanwhile, the bendability of the Goss single crystal specimens strongly depended on the bending direction. The finite element analysis results are remarkably consistent with the experimental results.