Residual stress distributions in welded stainless steel sections

Residual stress magnitudes and distributions in structural stainless steel built-up sections have been comprehensively investigated in this study. A total of 18 test specimens were fabricated from hot-rolled stainless steel plates by means of shielded metal arc welding (SMAW). Two grades of stainless steel were considered, namely the austenitic grade EN 1.4301 and the duplex grade EN 1.4462. Using the sectioning method, the test specimens were divided into strips. The residual stresses were then computed by multiplying the strains relieved during sectioning by the measured Young׳s moduli determined from tensile and compressive coupon tests. Residual stress distributions were obtained for 10 I-sections, four square hollow sections (SHS) and four rectangular hollow sections (RHS). Peak tensile residual stresses reached around 80% and 60% of the material 0.2% proof stress for grades EN 1.4301 and EN 1.4462, respectively. Based upon the test data, simplified predictive models for residual stress distributions in stainless steel built-up I-sections and box sections were developed. Following comparisons with other available residual stress test data, the applicability of the proposed models was also extended to other stainless steel alloys. The proposed residual stress patterns are suitable for inclusion in future analytical models and numerical simulations of stainless steel built-up sections.     

Strength enhancements induced during cold forming of stainless steel sections

The material properties of stainless steel are sensitive to plastic deformation which causes an increase in yield strength by a process termed cold working. The different strain paths experienced around cold-formed cross sections during manufacture create unique material strength distributions for sections from different forming routes and also influence residual stress patterns. The research program presented herein has examined experimentally the material and residual stress distributions found in two types of cold-formed sections-cold-rolled box sections and press-braked angles. Predictive tools to harness the observed strength enhancements have been proposed and incorporated into models. Subsequent comparisons have shown that these strength enhancements, in particular those observed for cold-rolled box sections, should be employed in structural design to avoid considerable underestimation of member resistance.     

Residual stresses in cold-rolled stainless steel hollow sections

Stainless steel exhibits a pronounced response to cold-work and heat input. As a result, the behaviour of structural stainless steel sections, as influenced by strength, ductility and residual stress presence, is sensitive to the precise means by which the sections are produced. This paper explores the presence and influence of residual stresses in cold-rolled stainless steel box sections using experimental and numerical techniques. In previous studies, residual stress magnitudes have been inferred from surface strain measurements and an assumed through-thickness stress distribution. In the present study, through-thickness residual stresses in cold-rolled stainless steel box sections have been measured directly by means of X-ray diffraction and their effect on structural behaviour has been carefully assessed through detailed non-linear numerical modelling. Geometric imperfections, flat and corner material properties and the average compressive response of stainless steel box sections were also examined experimentally and the results have been fully reported. From the X-ray diffraction measurements, it was concluded that the influence of through-thickness (bending) residual stresses in cold-rolled stainless steel box sections could be effectively represented by a rectangular stress block distribution. The developed ABAQUS numerical models included features such as non-linear material stress-strain characteristics, initial geometric imperfections, residual stresses (membrane and bending) and enhanced strength corner properties. The residual stresses, together with the corresponding plastic strains, were included in the FE models by means of the SIGINI and HARDINI Fortran subroutines. Of the two residual stress components, the bending residual stresses were found to be larger in magnitude and of greater (often positive) influence on the structural behaviour of thin-walled cold-formed stainless steel sections.     

不锈钢构件截面的残余应力分析

对碳钢结构截面的残余应力的大小及分布的研究已经比较成熟,但是对不锈钢截面的残余应力研究却还很少见。不锈钢与碳钢有着不同的材料应力-应变特性和热性能,它们都影响着残余应力的形成。这意味着已确定的碳钢残余应力模型可能并不适合不锈钢。随着不锈钢的应用日益增多,对其残余应力的研究显得尤为重要。     

对焊接高强度钢材箱型构件中残余应力的评估

关于残余应力在低碳型钢中的大小和分布之前已经进行了很多研究,然而,对于高强度型钢中残余应力的测定研究甚少。高强钢和低碳钢在应力-应变曲线及高温材料特性上的差异是研究高强度焊接型钢残余应力的必要研究方面。在当前研究中,采用以厚11mm的Q460钢板焊接而成、不同的3个箱型柱做试验。切条法和钻孔法都可用于测量。最终将可看到测定的残余应力在3个箱型柱中的分布状况及其相应的简易残余应力分布图。与低碳钢的残余应力图相比较,可以发现,由高强度钢板焊接而成的箱型柱有较低的残余应力比。同时也对采用不同测定方法(切条法、钻孔法)所造成的差异进行了比较。     

The assessment of residual stresses in welded high strength steel box sections

Much work on the investigation of the magnitude and distribution of residual stresses in mild carbon steel sections have been made previously. However, limited efforts have been put on residual stress measurements of high strength steel sections. The differences of stress–strain curves and high-temperature material properties between the high strength steel and mild carbon steel demands a necessary study of the residual stresses in high strength steel welded sections. In the present study, three box columns fabricated from Q460 steel plates of 11 mm in thickness with different details were used for the examination. Both sectioning and hole-drilling methods are adopted for the measurement. The measured residual stress distributions of three different box sections are presented, and the corresponding simplified residual stress pattern is proposed. By comparing with the residual stress patterns for mild carbon steel, it is found that the box section fabricated from HSS plates has the lower compressive residual stress ratio. The differences in the measurement by using sectioning and hole-drilling methods are also compared.     

Influence of cold bending on the resistance of wide flange members

Cold rolling is used for bending straight members with hot rolled wide-flange sections to create arches. Extensive studies have shown that the influence of residual stresses due to hot rolling on the resistance of wide-flange steel sections is nonnegligible. On the contrary, the residual stress pattern due to roller bending has been only recently identified. Its effects on the elasto-plastic behavior of curved members have not been studied sufficiently. In this paper, an in-depth study of the influence of such residual stresses is performed. Considering the residual stress pattern due to cold bending, interaction diagrams and buckling curves for cold bent steel arches are developed. The results are quantified and compared with those for hot-rolled and stress free members. This allows designers to appreciate the available margins of safety when using standard interaction equations and buckling curves for cold bent members. Furthermore, the results suggest the necessity for the development of buckling curves for cold bent members including initial imperfections.     

冷成型双相不锈钢截面材料特性

给出了6个不同截面冷成型双相不锈钢的特性,其中2个为圆形中空截面,4个为矩形中空截面。试样为冷轧双相不锈钢带。确定方形和矩形中空截面高强度冷成型双相不锈钢的材料特性。对每种型材的薄弱和转角处进行拉伸试验,由此测量每种型材的弹性模量、0.2%弹性极限、1.0%弹性极限、抗张强度、断裂延伸率和Ramberg-Osgood参数(n)。通过短柱试验获得冷轧状态全截面的材料特性。测量6种型材的初始局部几何缺陷,绘制每种型材含初始几何缺陷的横截面图。采用断面法测量150×50×2.5截面的残余应力,测量并绘制截面上薄膜屈曲残余应力分布图。此外,给出适用于短柱的有限元模型,并与试验结果进行对比。将不锈钢短柱的试验强度与美国规范、澳大利亚/新西兰规范和欧洲规范的设计强度进行对比。总体看来,三种规范的计算结果都较为保守,其中欧洲规范的计算结果最为保守。     

Experimental investigation of residual stresses in roller bent wide flange steel sections

Residual stresses in straight hot rolled wide flange sections are well documented and have been investigated in the recent past. However, to the knowledge of the authors, residual stress measurements have not been published on roller bent wide flange sections. Straight sections are curved into roller bent ones at ambient temperatures by means of the roller bending process. Since roller bent sections underwent severe plastic deformation during the forming process, the well-known residual stress patterns from hot rolling may not be appropriate for the roller bent steel. Roller bent sections can be applied in halls, roofings and bridges, thereby acting as structural arches and it is important that a realistic residual stress pattern is implemented when assessing their load carrying capacity. An experimental program has been carried out to investigate the residual stresses in roller bent wide flange sections bent about the strong axis. Residual stresses were measured with the sectioning method. The experimental technique was investigated with respect to possible temperature influence and repeatability of the measurements. Experimental values revealed that the residual stress pattern and magnitude in roller bent sections is different when compared to their straight counterparts.     

Residual stresses in press-braked stainless steel sections,I: Coiling and uncoiling of sheets

The manufacturing process of cold-formed thin-walled steel members induces cold work which can be characterized by the co-existent residual stresses and equivalent plastic strains and has a significant effect on their structural behaviour and strength. The present paper and the companion paper are concerned with the prediction of residual stresses and co-existent equivalent plastic strains in stainless steel sections formed by the press-braking method. This manufacturing process consists of the following two distinct stages: (i) coiling and uncoiling of the sheets, and (ii) press-braking operations. This paper presents an analytical solution for the residual stresses and co-existent equivalent plastic strains that arise from the first stage. In the analytical solution, the coiling–uncoiling stage is modelled as an inelastic plane strain pure bending problem; the stainless steel sheets are assumed to obey Hill’s anisotropic yield criterion with isotropic hardening to account for the effects of material anisotropy and nonlinear stress–strain behaviour. The accuracy of the solution is demonstrated by comparing its predictions with those obtained from a finite element analysis. The present analytical solution and the corresponding analytical solution for press-braking operations presented in the companion paper form an integrated analytical model for predicting residual stresses and equivalent plastic strains in press-braked stainless steel sections.     

热轧和焊接不锈钢结构构件的强度计算

目前世界上还没有国家制订关于热轧和焊接不锈钢结构的设计规范。随着不锈钢构件在建筑结构中的运用 ,以及它们表现出与普通碳素钢和低合金钢构件不同的力学性能 ,必须考虑专门的设计方法。在南非兰德大学铬钢研究组对热轧和焊接不锈钢构件研究的基础上 ,提出了用于热轧和焊接不锈钢结构构件强度预估的理论计算公式 ,供参考     

Cold-forming effect on stainless steel sections

Stainless steel exhibits greater extent of strain hardening than carbon steel, which leads to significant change in mechanical properties (increase in yield strength and decrease in ductility) of the stainless steel material due to the cold forming process. These changes of the mechanical properties depend mainly on the magnitude of residual stresses and equivalent plastic strain induced by the cold working. This paper presents an analytical model for determining the residual stresses and the corresponding plastic strain by means of Maple software simulating the cold forming process. The analytical model in Maple is validated by the previous numerical and experimental data of cold formed sheets. The increased material properties are determined after cold forming for corners and flat faces of sections considering the residual stresses and plastic strain and validated with the previous test results. For the prediction of the increased yield strength, new material properties with respect to the induced plastic strain based on tests are set for cold bending process in the analytical model. The analysis for the increased yield strength is calculated for four stainless steel grades, i.e., austenitic (1.4404), ferritic (1.4003), lean-duplex (1.4162) and duplex (1.4462) and the results are compared with the previous predictive models of the strength increase.     

焊接热切高强H型钢的残余应力

构件中所存在的残余应力会大大影响钢结构组件的刚度和疲劳寿命。虽然对于低碳钢的结构部件有较多的研究,但由于在常温和高温下应力-应变关系和材料属性的不同,造成了残余应力分布在高强钢构件中与低碳钢焊接而成的构件中的差异。因此,有必要研究由高强钢焊接而成的结构部件中残余应力的分布。对3个屈服强度460MPa的焊接热切高强型钢柱的残余应力进行研究,对不同横截面大小也进行了分析。使用切片法和钻孔法测量,并对两种方法所获得的残余应力进行比较。所测量的残余应力的大小和分布与碳钢中的一致,然而却有相对更小的残余应力比。最后,根据所测量的值,提出一个简化的由热切H型钢焊接而成的460MPa高强钢构件的残余应力分布。     

Residual stresses in welded flame-cut high strength steel H-sections

The presence of residual stress in members can significantly compromise the stiffness and fatigue life of steel structural components. Researches in this area are well documented for structural members of mild carbon steels. Nevertheless, due to the difference of stress–strain relations and material properties under ambient and high temperatures, the residual stress distribution in a high strength steel member is physically different from those fabricated from mild carbon steel. It is imperative to study the residual stress distribution for structural members fabricated from high strength steel. In this paper, the residual stresses of three welded flame-cut H-section columns with a nominal yield strength of 460 MPa but different cross-section dimensions were investigated. Both sectioning and hole-drilling methods were used in the measurement and the obtained residual stresses were compared between the two methods. The magnitudes and distributions of the measured residual stresses are identical with those of carbon steel, however in relatively smaller residual stress ratios. Finally, based on the measurements, a simplified residual stress distribution for 460 MPa high strength steel members with welded flame-cut H-section is proposed.     

Proposed residual stress model for roller bent steel wide flange sections

The manufacturing process of structural wide flange steel sections introduces residual stresses in the material. These stresses due to hot-rolling or welding influence the inelastic buckling response of structural steel members and need to be taken into account in the design. Based on experimental data standardized residual stress models have been proposed for inclusion in inelastic buckling analyses. By incorporating these residual stress models their effect on the resistance of beams and columns can be obtained. Residual stress models for roller bent steel sections are currently not available. Roller bent wide flange sections are manufactured by curving straight members at ambient temperature. This manufacturing technique, which is also known as roller bending, stresses the material beyond its yield stress, thereby overriding the initial residual stresses prior to bending and generating an entirely new pattern. This paper proposes a residual stress model for roller bent wide flange sections, based on earlier conducted numerical investigations which were validated by experimental research performed at Eindhoven University of Technology. The proposed residual stress model can serve as an initial state of a roller bent steel section in fully non-linear finite element analyses to accurately predict its influence on the inelastic buckling response.     

Tests and behaviour of cold-formed stainless steel tubular X-joints

The paper presents a series of tests on cold-formed stainless steel tubular X-joints. The tubular X-joint specimens were tested without chord preload as well as with three different levels of preload applied to the chord members. The test specimens were fabricated from square and rectangular hollow sections as brace and chord members. A total of 32 tests was performed. High strength stainless steel (duplex and high strength austenitic) and normal strength stainless steel (AISI 304) specimens were tested. The test results were compared with the design strengths obtained using the CIDECT Guide and Eurocode for carbon steel structures. It is shown that the design strengths predicted by the current design specifications are very conservative for the test specimens calculated using the 0.1%, 0.2%, 0.5% and 1.0% proof stresses as the yield stresses. The 0.2% proof stress is comparatively more reasonable to predict the design strengths of stainless steel tubular X-joints for both ultimate limit state and serviceability limit state.     

Residual stresses in press-braked stainless steel sections,II: Press-braking operations

The manufacturing process of cold-formed thin-walled steel members induces cold work which can be characterized by the co-existent residual stresses and equivalent plastic strains and has a significant effect on their structural behaviour and strength. The present paper and the companion paper are concerned with the prediction of residual stresses and co-existent equivalent plastic strains in stainless steel sections formed by the press-braking method. This manufacturing process consists of the following two distinct stages: (i) coiling and uncoiling of the sheets, and (ii) press-braking operations. This paper first presents an analytical solution for the residual stresses and the co-existent equivalent plastic strains that arise from the second stage while a corresponding analytical solution for the first stage is presented in the companion paper. In both solutions, plane strain pure bending is assumed and the effect of material anisotropy is taken into account. On the basis of these two analytical solutions, an analytical model is presented to predict residual stresses and equivalent plastic strains in press-braked stainless sections. The predictions of the analytical model are shown to be in close agreement with results from a finite element-based method, demonstrating the validity and accuracy of the analytical model. The analytical model provides a much simpler method for the accurate prediction of residual stresses and equivalent plastic strains in different parts of a press-braked stainless steel section than a finite element-based method.     

Development of design rules in the AISC Design Guide for structural stainless steel

This paper describes the development of an AISC (American Institute of Steel Construction) Design Guide for hot rolled and welded structural stainless steel sections. Where stainless steel behaves in a similar way to carbon steel, the Design Guide simply refers to the relevant section in ANSI/AISC 360-10 Specification for Structural Steel Buildings. Where the guidance in the AISC Specification would be unconservative when applied to stainless steel, specific rules for stainless steel were derived and presented in a format as close as possible to the equivalent expressions in AISC 360. The stainless steel design rules were calibrated against an extensive database of test results on members and connections. A full reliability analysis was carried out to calculate the LRFD resistance factors; in most cases, the carbon steel resistance factors were shown to be applicable to stainless steel also.     

不锈钢焊接工字形截面残余应力分布试验研究

通过焊接加工10个不锈钢工字形截面试件（选材包括奥氏体型S30408和双相型S22253两种），采用分割法将试件截面切分成条带，量测释放的残余应变，计算得出截面的残余应力大小与分布形态。结果表明：试件截面的残余拉应力峰值低于材料的名义屈服强度，对于奥氏体型S30408和双相型S22253两种不锈钢试件的截面残余拉应力峰值分别约为其名义屈服强度的80%和60%。基于试验结果对现有简化分布模型的评估表明其应用的局限性，提出可以较准确描述不锈钢焊接工字形截面残余应力分布的建议简化模型，结合现有的其他试验数据，对建议简化分布模型的适用范围进行了验证和推广，可以为不锈钢结构构件的稳定性研究和设计提供参考。     

纯压抛物线拱平面内稳定性及设计方法研究

采用大挠度弹塑性有限单元法对全跨竖向均布荷载作用下纯压抛物线拱平面内稳定承载力进行研究,考虑材料非线性、焊接残余应力、初始几何缺陷、矢跨比和支承条件等因素的影响,得到了热轧圆管截面、焊接工字形截面和焊接箱形截面纯压三铰、两铰和无铰抛物线钢拱的平面内稳定性设计曲线,给出纯压抛物线钢拱的平面内稳定设计公式。以拱的正则化长细比为基本参数,统一了三铰、两铰和无铰纯压抛物线钢拱的平面内稳定设计曲线,可用于全跨竖向均布荷载作用下纯压抛物线钢拱的平面内稳定性设计,同时可供实际设计时使用和制定有关规程时参考。