Temperature and thermal stresses in work rolls during the hot rolling of strip

In this paper the solution of the unsteady, three-dimensional heat transfer in work rolls was derived by using Bessel functions and the δ-function and expressed by an infinite series. In this manner other problems of heat transfer in solid cylinders and hollow cylinders can also be calculated. The temperature profile of the work roll due to the distribution of the temperature in the axial direction can cause unregular pressure distribution between work roll and backup roll and can influence the quality of strip. Therefore, the thermal crowns must be considered at various moments during rolling. The thermal crown can be determined by using the FE-Method or others. The reason for the fire-cracking in the roll surface can be determined as the thermal shock load in the contact zone, in which the sharp compressive stresses lead to local plastic deformation. The local plastic deformations are followed by residual deformations. Therefore, residual tensile stresses occur in the cooling zone. On each revolution, the surface undergoes plastic strain in compression and in tension. The result is thermal fatigue. The fine network of cracks in the roll surface can result in a sharp stress concentration which is dangerous for the rolls loaded with a bending moment. The maximum tensile stresses due to the temperature distribution occur in the roll core, which usually do not lead to damages of the rolls.     

辊弯成形方形型钢的残余应力

 残余应力对于型钢产品的使用性能有重要影响。应用X射线衍射方法对方形型钢的残余应力进行了测量,分析了残余应力在型钢各个部位的分布情况,探讨了不同成形工艺、尺寸、厚度材料生产的方形型钢产品残余应力分布的差异。研究结果表明型钢焊缝处的残余应力最大,残余应力在外表面为拉应力,内表面为压应力,不同成形工艺与外形尺寸对于残余应力的分布有较大影响。研究结果可为工艺设计人员和型钢使用人员提供有益的参考。     

成形工艺对冷弯方管残余应力及焊接微观组织的影响简

 冷弯方管成形有“直接成方”和“圆成方”两种方式。为了研究成形工艺对于产品的不同影响,以规格为100mm×100mm×6mm,材料为Q235的两种成形工艺的方管为研究对象,采用钻孔法对方管各个部位的残余应力进行了测量,并观测了焊缝处的显微组织。研究结果表明,不同成形工艺对纵向残余应力的分布影响较大,焊缝处的残余应力最大。“圆成方”过程中施加较大的焊接压力使得其焊接热影响区宽度小于“直接成方”工艺条件下焊接热影响区的宽度,且抑制了奥氏体晶粒长大,冷却后获得较为细小均匀的晶粒。     

轧辊非均质特性对辊型电磁调控的影响分析

 轧辊作为辊型电磁调控技术的核心构件,在加工制造时必须进行热处理,改变轧辊表层组织形态,形成轧辊表面淬硬层,引起轧辊表层和芯部材料性能差异,而这种差异会对辊型电磁调控特性产生影响。为此,利用有限元软件MSC.MARC建立了电磁 热 力耦合轴对称模型,并依托辊型电磁调控试验平台对模型精度进行校核。在此基础上,依托模型分析了表面淬硬层厚度对辊型电磁过程中辊凸度、辊型曲线、接触面平均正压力及轧辊应力分布的影响。结果表明,表面淬硬层厚度对辊凸度、辊型曲线和接触面正压力的影响较小,但对轧辊应力分布有明显影响,特别是轧辊表面淬硬层中心区域。     

考虑成卷-展平过程的冷弯残余应力分析

 从不考虑材料冷作硬化（理想弹塑性体）与考虑冷作硬化（双线性随动硬化）两个方面对带坯在成卷、开卷、展平、塑性弯曲及回弹过程中产生的应力进行了解析分析,获得了冷弯残余应力沿厚度方向上的分布,随后对比研究了考虑硬化与不考虑硬化对冷弯残余应力分布的影响,并将理论计算结果与实测残余应力进行了对比。结果表明,理想弹塑性模型和硬化模型预测的残余应力分布形式几乎一致;成卷上存在屈服时,纵向残余应力由内外表面向板厚中心方向呈非线性分布（成卷上无屈服时呈线性分布）,横向残余应力呈近似线性分布;在变形外区主要为残余拉应力（横向残余应力在外侧有极小部分受压区）,内区主要为残余压应力（横向残余应力在内侧有极小部分受拉区）;横、纵向残余应力最大值均在中性层位置;研究结果与试验测量结果基本一致。     

Numerical Simulation of Continuous Tension Leveling Process of Thin Strip Steel and Its Application

 Cold rolled thin strip steel of high flatness quality undergoes multistage deformation during tension leveling. Thus, the parameters of set up and manipulating are more difficult. With the aid of FE code MSCMARC, the tension leveling process of thin strip steel was numerically simulated. Concentrating on the influence of the roll intermeshes in 2# anti cambering on the distribution and magnitude of residual stresses in leveled strip steel, several experiments were done with the tension leveler based on the results from the simulation. It was found from the simulation that the magnitude of longitudinal residual stresses in the cross section of the leveled strip steel regularly presents obvious interdependence with the roll intermeshes in 2# anti cambering. In addition, there is a steady zone as the longitudinal residual stresses of the surface layers in leveled strip steel vary with the roll intermeshes of 2# anti cambering, which is of importance in the manipulation of tension levelers. It was also found that the distribution of strains and stresses across the width of strip steel is uneven during leveling or after removing the tension loaded upon the strip, from which it was found that 3D simulation could not be replaced by 2D analysis because 2D analysis in this case cannot represent the physical behavior of strip steel deformation during tension leveling.     

辊式矫直机矫直过程有限元仿真

建立了辊式矫直机的有限元模型,对其矫直过程进行动态有限元仿真。对不同规格的钢板分别进行仿真,将模型中的压下量按实际参数设定,并将其计算结果与实际情况进行比对,检验了模型的可靠性。对其残余应力分布进行分析,得出消除板坯翘曲必须控制长度方向上节点之间的纵向残余应力差值的结论。建立的辊式矫直机的参数化模型,能够方便地调整矫直工艺参数,并对其矫直效果进行分析,对辊式矫直机工艺参数的设定具有一定的指导意义。     

Analysis of bulging for high speed continuous casting

In order to research the temperature distribution and mechanical deformation of slab bulging during high speed continuous casting,mathematical models have been developed to analyze the thermal and mechanical behavior of the slab.The thermal history of the slab has been predicted by a two-dimensional transient finite element heat transfer model,whose results serve as the input to the stress model.The stress model has been formulated for a two-dimensional longitudinal plane.In this case,the maximum tensile strain during the bulging process is located at the solidification front just past the top of the upstream roll,which may contribute to crack formation.The maximum tensile stresses are located at the cold surface in the middle of the two back-up rolls,just at the point of the maximum bulging.Stresses near the solidification front are small because of the high temperatures which produce lower elastic modulus values.Finally,the effect of the casting speed on the bulging deformation is discussed.     

新型电磁调控轧机弯辊辊型电磁补偿及初始辊缝

 为解决薄带轧制过程中的各类板形问题,以新型电磁调控轧机为研究对象,利用Marc建立三维热-力耦合有限元模型,分析了弯辊和电磁调控轧辊综合作用下弯辊力和轧制力对轧辊辊型状态、板形分布、板坯边部应力、辊间接触应力、承载辊缝形状的影响规律。结果表明,弯辊机制的施加将直接促进电磁调控轧辊的稳定胀形,使电磁调控轧辊胀形凸度得到整体性补偿,并以板形良好为依据,给出新型调控轧机合理的弯辊力施加范围。对比分析了不同弯辊力和轧制力下辊缝函数的变化情况,形成不同的二次、四次凸度,为板形控制及初始辊缝设定提供依据。     

矫直工艺对Zr-Sn-Nb系合金管材氢化物取向的影响

核反应堆包壳管的氢化物取向因子会较大程度的影响其力学性能和使用性能。为此,使用6辊精密管材矫直机对?10 mm的Zr-Sn-Nb系合金成品管材进行矫直实验,研究辊缝值、弯曲量及矫直辊角度对其氢化物取向因子的影响。采用X射线衍射技术分析矫直管材的残余应力,采用光学显微镜观察高压釜渗氢试样的氢化物分布,并通过评级软件检测氢化物取向因子(Fn~(40°))。结果表明:辊缝值、弯曲量及矫直辊角度均对矫直后管材的残余应力有显著影响,并且管材氢化物取向因子随着残余应力的增大而增大。当辊缝值≥10 mm,弯曲量≤4.2 mm,矫直辊角度在31.5°～33.5°之间时管材残余正应力≤35.6 MPa,切应力≤37.8 MPa,此时氢化物取向呈周向或接近周向,氢化物取向因子满足技术要求。     

Effects of stress‐ and/or warm peening of AISI 4140 on fatigue life

Using a new system shot peening and/or stress peening in an air blast machine at elevated temperatures is feasible. The effects of conventional shot peening, stress peening, warm peening and stress peening at elevated temperatures on the characteristics of regions close to the surface, on the stability of residual stresses and on the fatigue strength of a quenched and tempered AISI 4140 steel (German grade 42 CrMo 4) are presented. The alternating bending strength is increased by stress peening, warm peening and especially the combination of both compared to conventional shot peening. These effects are due to the residual stresses induced and the stability of the dislocation structure, which is highly affected by strain ageing effects.     

小断面管材二辊矫直机压扁量分析

 压扁加反弯矫直是提高小断面管材矫直精度的有效方法,针对矫直过程中压扁量不易确定的问题,利用大型非线性有限元软件建立小断面管材二辊矫直过程的三维弹塑性有限元模型,研究了不同压扁量时接触长度、矫直力、残余应力、直线度和椭圆度的变化情况。经综合分析后给出合理的压扁量取值范围为0.45~0.70 mm。现场试验结果表明,参考此压扁量取值范围来调节辊缝可以得到很好的矫直效果,减少了辊缝调节时间。     

预热对铍环激光束钎焊过程的影响研究

研究预热对铍环激光束钎焊过程温度场和应力场分布的影响。采用轴对称模型和热力解耦的有限元方法，并假定沉积到钎缝表面的激光束能量为Gauss分布，预热通过在焊接加热前添加一个能量密度低、有效加热半径大的单独工况实现。结果表明，预热使镀环钎缝外表面焊接最高温度增加，温度梯度减小，但焊深明显增加；采用预热工况焊接后，钎缝附近塑性变形区焊接残余应力明显减小，而热影响区残余应力增大。从整体分布来看，预热使铍环外表面焊接残余应力分布均匀化。对铍环外表面钎缝附近焊接残余应力进行X射线应力测试，并与有限元分析结果对比，二者应力变化趋势基本一致。     

A Study on the Buckling Behaviour of Strips and Plates with Residual Stresses

During and after rolling or flattening of metal strips and plates the permissible deviations from flatness are described by the permissible absolute wave height and the flatness index. Both values can be determined on a measuring table while the material is not subjected to global tension. Because this procedure is expensive, time‐consuming and allows measurement only at discrete positions along the strip length, on‐line flatness measuring systems are used which can detect the distribution of longitudinal tensile stresses distributed across the strip width allowing for the calculation of the flatness index. This value does not always agree with the value obtained directly by measuring on the table even when the measurement of the longitudinal tensile stress distribution operates perfectly. It can be shown that the measurement of the tensile stress distribution does not give a direct indication on the wave height in the tension‐free state determined on the measuring table. To explain the relationship between tensile stress distribution in the strip and the flatness measurement on the measuring table, the buckling behavior is analysed both with and without dead load for simple symmetrical residual stress distributions resulting, e.g., from the rolling process. Based on the knowledge of the distribution of the longitudinal residual stresses across the strip width, the flatness index and the wave height can be determined by using a specialized finite element model. If the direct measurement is performed under action of dead load, large differences between the directly and indirectly obtained flatness index are observed. Below a certain limit of the intensity of the residual stress distribution the strips and plates lie flat on the measuring table. Above this limit the strip lying on the table exhibits post‐bucking deformations. In the latter case, the wave height increases with strip thickness and intensity of residual stresses.     

Developments of work roll bite lubrication at SSAB Tunnplåt AB hot strip mill

In the strip rolling process friction is needed at first to pull the strip into the roll gap, otherwise slipping occurs. After the neutral plane however, where the velocity of the work roll equals the velocity of the strip, the friction stress alters direction to the opposite. If the friction stress after the neutral plane then is lowered, the total roll force will decrease. This can be done by a properly applicated oil- and water dispersion close to the work roll gap and between the roll cooling wipers. The technique and the key to a successful lubrication is a work roll surface which is as dry as possible. If the roll surface is not dry, neither large changes in the oil concentration, nor changes in the oil composition can make the lubricant stick to the roll surface. The lubricate was partly washed away by the water and only a small roll force decrease could therefore be measured. Only when the roll cooling water on the entry side of the work roll was set off on purpose, the roll force decrease was significant. Due to this result, further test were performed in an upstream stand in the hot strip mill. Here, the work roll wipers were modified and the roll was substituted by one with a larger radius and lubricated. The result was very slight or no water leakage at all. The roll force decrease was then much greater than before and close to those measured for the same reduction in the case of no entry water for the later stand. The electrical current in main drives and the roll wear in the lubricated stand could also be lowered significantly. In addition, the strip surface was greatly improved, under conditions with a high possibility of oxide residual contamination from the roll surface.     

Development and Application of the Theory of Rigid Ends in Thin-Sheet Rolling

Metallurgist - The article presents the results of an experimental study into the distribution of contact stresses (pressures) along the length of a milling roll barrel and external longitudinal...     

用发展的Sachs法研究模拟轧辊中的残余应力

对不同辊型，尺寸，材料与加工处理方法的模拟冷轧辊进行了内剥层试验研究，求出了原辊和打中心孔或扩孔后辊内残余应力分布曲线，提出了虚拟打孔法和虚拟剥层法，解决了实心辊中心和空心辊内表层的残余应力的精确测量问题，丰富了Ｓａｃｈｓ内剥层法的内容，机械法打中心孔，热处理前打中心孔，空心辊表淬前改变温度场的方法可降低残余应力值，后者降低残余应力的效果尤为显著。     

四辊CVC冷轧机辊间压力影响因素分析

CVC轧机辊间接触压力分布不均,辊间压力峰值易引起严重的支撑辊不均匀磨损,甚至造成轧辊的剥落。采用影响函数法,分析了轧件宽度、工作辊横移位置、弯辊力以及支撑辊凸度对辊间压力分布的影响;研究了在应力集中最严重的横移位置时,支撑辊端部采用圆弧形倒角和抛物线形倒角时,倒角参数变化对辊间压力分布的影响规律。结果表明:CVC轧机辊间压力成S形分布,在轧辊右端存在较大的应力集中;轧件越宽,应力集中越严重;横移位置为负向最大时,辊间应力集中最严重;增加支撑辊凸度能减小辊间接触压力的峰值,但是对辊间压力分布的改善不明显;弯辊力对辊间压力有较大的影响;使用合适的抛物线形倒角和圆弧形倒角均能很好的减小辊间接触压力的峰值,并使辊间压力分布更均匀。研究结果可为CVC轧机支撑辊辊形设计提供理论依据。     

The Residual Stress Relaxation Behavior of Weldments During Cyclic Loading

Accurate measurement of residual stress is necessary to obtain reliable predictions of fatigue lifetime and enable estimation of time-to-facture for any given stress level. In this article, relaxation of welding residual stresses as a function of cyclic loading was documented on three common steels: AISI 1008, ASTM A572, and AISI 4142. Welded specimens were subjected to cyclic bending (R = 0.1) at different applied stresses, and the residual stress relaxation existing near the welds was measured as a function of cycles. The steels exhibited very different stress relaxation behaviors during cyclic loadings, which can be related to the differences in the microstructures of the specimens. A phenomenological model, which treats dislocation motion during cyclic loading as being analogous to creep of dislocations, is proposed for estimation of the residual stress relaxation.     

Realistic modelling and optimisation of steel section cooling process

Abstract

The cooling process in the manufacture of long steel products generates residual stresses and bending in the section. This initial state, arising from the cooling bed, influences the final residual stresses and bending at the end of the subsequent processes. Owing to the importance of the cooling process, this paper presents realistic modelling and optimisation using computational fluid dynamics (CFD) and finite element analysis. Computational fluid dynamics rendered it possible to accurately overcome two main problems common to previous cooling models: the realistic modelling of the heat transfer coefficient (especially important when modelling outdoor cooling beds because of the implications of forced convection) and the precise view factor modelling of the different section surfaces (useful when modelling a complex section). After decoupled CFD thermo‐analysis, the temperature record of each node in the section was loaded into the finite element stress displacement model. The relevant influence of steel phase transformation was considered applying a combined methodology, involving an ABAQUS user subroutine. Accordingly, accurate residual stresses and bending were obtained. After establishing the models, several strategies were analysed for reducing the residual stresses during the cooling process. Results were successfully validated with experimental data from structural section producers.