焊接诱导的残余应力对加劲板轴向极限强度影响的简化模型研究（英文）

The present work investigates the compressive axial ultimate strength of fillet-welded steel-plated ship structures subjected to uniaxial compression, in which the residual stresses in the welded plates are calculated by a thermo-elasto-plastic finite element analysis that is used to fit an idealized model of residual stress distribution. The numerical results of ultimate strength based on the simplified model of residual stress show good agreement with those of various methods including the International Association of Classification Societies(IACS) Common Structural Rules(CSR), leading to the conclusion that the simplified model can be effectively used to represent the distribution of residual stresses in steel-plated structures in a wide range of engineering applications. It is concluded that the widths of the tension zones in the welded plates have a quasi-linear behavior with respect to the plate slenderness. The effect of residual stress on the axial strength of the stiffened plate is analyzed and discussed.     

Strength of ship plates under combined loading

Strength of ship plates plays a significant role in the ultimate strength analysis of ship structures. In recent years several authors have proposed simplified analytical methods to calculate the ultimate strength of unstiffened plates. The majority of these investigations deal with plates subjected to longitudinal compression only. For real ship structural plating, the most general loading case is a combination of longitudinal stress, transverse stress, shear stress and lateral pressure. In this paper, the simplified analytical method is generalized to deal with such combined load cases. The obtained results indicate that the simplified analytical method is able to determine the ultimate strength of unstiffened plates with imperfections in the form of welding-induced residual stresses and geometric deflections subjected to combined loads. Comparisons with experimental results show that the procedure has sufficient accuracy for practical applications in design.     

大型核电厚壁结构X射线衍射法残余应力测试

采用X射线衍射法（ XRD）对大型核电厚壁结构堆芯板端面、堆芯板与吊篮筒体环焊缝焊前焊后残余应力进行无损测量。研究堆芯板端面、环焊缝焊前焊后残余应力的分布情况及变化规律。结果表明：堆芯板焊前残余应力主要是机加工应力,且焊接过程对其残余应力影响不大;1＃和2＃堆芯板环焊缝轴向残余应力分布趋势明显,呈现焊缝为压应力,母材为拉应力;测试的环向应力在各区域分布不一致;焊接对远离焊缝区域的应力没有影响,远离焊缝区域呈现较大的加工应力。     

An approximate method to generate average stress–strain curve with the effect of residual stresses for rectangular plates under uniaxial compression in ship structures

The average stress–strain curve for rectangular plates under uniaxial compression in ship hull structures is generated on the basis of the existing design formulae. The dual-term equation for ultimate strength of uniaxially compressed plates is employed to generate the average stress–strain curve for long plates. Two alternatives proposed by Faulkner and Frankland, respectively, are considered. An approximate method to take into account the effect of residual stresses is proposed. By investigating the variation of the stress distribution at different stages of compression, the average stress–strain relationship of the rectangular long plates with the effect of residual stresses is derived from equilibrium. The behaviors of the wide plates are also discussed. The assumption proposed by Valsgard for the idealized stress distribution of wide plates under uniaxial compression is adopted. The average stress–strain relationship for wide plates is derived from the existing design formulae. Two equations proposed by Hughes and recommended by API for critical stress of the central portion of the wide plate are considered. The effect of residual stresses is also taken into account for wide plates.     

Numerical investigation on the ultimate strength of stiffened cylindrical shells considering residual stresses and shakedown

In this paper, the effects of residual stresses on the ultimate strength of stiffened cylinders are numerically investigated with an emphasis on shakedown which might occur during the service of these structures. Residual stresses caused by two types of actions, namely, cold bending and welding, are simulated with simplified approaches in numerical analysis. Cold bending stresses are simulated by simulating cold rolling and elastic springback until the desired curvature for cylindrical shell is obtained. Welding is simulated by applying cooling down to a certain temperature on the elements adjacent to stiffener-shell joints to obtain weld-shrinkage with realistic magnitudes. Six small-scale externally pressurized ring-stiffened cylinder models are utilized to evaluate the appropriateness of the method for inclusion of welding residual stresses in numerical analysis by comparing the experimental and numerical results. Ultimate strength analyses are then performed for a reference ring-stiffened cylinder model under radial pressure and stringer-stiffened cylinder under axial loading. To assess the effect of shakedown, after applying cyclic compressive loading to the ring-stiffened cylinder model, the level of stress relief and the change in the ultimate strength are evaluated.     

船体梁极限强度的近似计算

船体梁的总纵强度是反映船舶结构安全可靠的最基本的强度指标。船体结构极限强度评估对于船舶结构初步设计、使用、维护和维修都非常重要，因此船体梁极限强度研究成为近几十年来船舶工程界的热点研究课题之一。到目前为止有两种典型的加筋板和船体梁的极限强度分析方法，它们是直接计算法和逐步破坏分析法。本文基于加筋板单元的平均应力应变曲线和逐步破坏分拆方法，提出了加筋板和船体梁极限强度的简化分析方法，考虑了初始挠度和残余应力对加筋板单元极限强度的影响。数值结果表明，采用本文简化方法得到的结果与有限元计算结果或其它逐步破坏分析结果比较符合。     

Experimental and numerical investigation on welding simulation of long stiffened steel plate specimen

The paper presents the results of metal inert gas T-joint fillet welding tests of small scale rectangular stiffened steel plates longer than the standard test specimen. In the literature the focus is typically on plates with a small aspect ratio and the present work deals with plates of higher aspect ratio, which are the typical ones in marine structures, aiming to determine if there is any significant effect of welding along the longitudinal direction. Nonlinear thermo-elasto-plastic finite element models are adopted to evaluate the temperature distribution, welding induced distortions and residual stress in the stiffened plates of shipbuilding steel. Given the difficulty in data acquisition of temperature-dependent properties of the material, a simplified model of the properties is proposed, based on the values at room temperature. Good agreement is observed between the measured and simulated temperatures, indicating that the current finite element approach is appropriate to simulate the welding process. The proposed simplified material model can be efficiently used in the finite element analysis of welded steel structures. It is concluded that the welding parameters have more significant influence on the structural responses than the dimension of the plate.     

交变载荷下厚板对接焊残余应力的松弛行为

对于承受交变载荷的焊接构件,焊接残余应力的存在对于结构的疲劳寿命影响巨大。由于焊接残余应力形成机理的复杂性,当交变载荷作用时,焊接残余应力的松弛演变具有不确定性,导致该领域的研究难度相当大。迄今为止,鲜有文献就交变载荷下的厚板焊接残余应力松弛行为进行深入报道。采用低周疲劳试验,利用X射线残余应力测试仪,对试件表面焊接残余应力的松弛演变行为进行追踪研究,通过在试件表面近焊缝区布置网状测点,采集测点的横向及纵向焊接残余应力进行数据拟合,在试验对比修正的基础上,最终建立焊接残余应力的松弛演变模型。结果表明：在交变载荷作用下,焊接残余应力会发生松弛,并且,应力松弛量的大小与交变载荷的特征值大小紧密相关。     

低周疲劳载荷下考虑累积塑性的船舶裂纹板剩余极限强度研究

研究表明在恶劣海洋环境中船体结构整体断裂破坏往往是低周疲劳破坏和累积塑性破坏的耦合结果。考虑这两者耦合作用的影响,评估船体结构的极限承载力更为实际。基于累积塑性和低周疲劳裂纹扩展,从理论上分析了平面内低周疲劳载荷下裂纹板的残余极限强度。经过一系列数值模拟,首先讨论低周疲劳裂纹扩展行为的影响,然后随着疲劳裂纹扩展的发展,主要讨论了初始变形,焊接残余应力,裂纹扩展长度,裂纹分布和裂纹板厚度对低周疲劳载荷下船体裂纹板极限强度的影响。     

Fatigue life prediction of welded stiffened 350WT steel plates

The propagation of fatigue cracks under constant amplitude cyclic loading was studied in welded stiffened steel plates. The residual stresses in the stiffened plates were measured using the neutron diffraction strain-scanning technique. A finite element model of the stiffened plate was constructed to simulate the residual stresses by an uncoupled thermal and thermo-mechanical analysis. Both the finite element model and the neutron diffraction measurements indicated that in general the residual stresses were tensile near the welded stiffeners and compressive between the stiffeners and ahead of the starter notch tip. Fatigue testing indicated that the fatigue crack growth rates of the stiffened plates were in general lower than that of a corresponding unstiffened plate, especially near the notch tip where compressive residual stresses existed. Both the finite element method and Green's function predicted the fatigue crack growth rates with reasonable accuracy.     

含凹陷损伤FPSB典型加筋板剩余极限强度研究

本文选取一型FPSB典型加筋板结构,在考虑初始缺陷的情况下采用非线性元法,通过对比研究,选定了(1/2 1 1/2)的加筋板模型以及合适的边界条件、网格尺寸。分别研究了三种不同凹陷形状对加筋板极限强度的影响,选定了以弧形凹坑为主要研究对象的凹陷形式。分别研究了凹陷损伤加筋板随凹痕深度、凹痕长度、凹痕宽度、凹痕位置变化时结构在单轴受压情况下的极限强度变化情况。本文的计算结果可对此型FPSB加筋板结构在凹陷损伤后的极限强度评估提供一定的参考。     

一种复杂载荷作用下船舶结构疲劳裂纹扩展预报方法

风暴模型是Tomita等提出的用来评估船舶结构疲劳强度的一种随机波浪载荷简化模型,它能表达波浪载荷是与时间相关的随机过程。文中介绍了风暴模型及波浪诱导应力短期分布的基本特征。将风暴模型和裂纹扩展率单一曲线模型及焊趾表面裂纹应力强度因子的计算方法结合起来,探讨了复杂载荷作用下船舶结构疲劳裂纹扩展预报方法。并用权函数法计算了给定残余应力分布的表面裂纹应力强度因子。预报了对接焊接接头焊趾处表面裂纹在风暴波浪载荷作用下的疲劳裂纹扩展行为,结果表明风暴的大小、顺序,初始裂纹尺寸及残余应力对裂纹扩展行为影响明显。合理的风暴模型参数及初始裂纹尺寸的确定对船舶结构的疲劳寿命预报是非常重要的。     

无加筋平板极限强度的简化解析法与规范公式的比较

无加筋板是船舶结构的主要构件之一，船舶结构强度校核的一项重要内容就是校核各平板单元是否具备足够的强度储备。最近几年，作者们采用弹性大挠度理论和刚塑性分析相结合的简化解析方法，曾给出了板和加筋板格在联合载荷作用下的极限强度计算公式，并与部分实验值相比，吻合较好，但没有与目前船级社所采用的规范计算公式作过比较。现作这一比较工作，也包括与有限元分析的比较；同时对以前所开发的简化解析法又作了进一步的改进，文章报道这一改进结果。最后，采用上述三种方法，对影响平板极限强度的几个主要参数进行了研究，结果表明，简化解析法与规范计算公式吻合较好。     

Experimental study on the collapse strength of wide stiffened panels

Five specimens are tested under axial compression until collapse to investigate the ultimate strength of wide stiffened panels with four stiffeners. To avoid the side bays collapse and reduce the influence of the clamped boundary condition on the collapse behaviour, the tests are made on panels with two half bays plus one full bay in the longitudinal direction with simply supported condition at the end edge of loading. Initial loading cycles are used to release the residual stresses of the stiffened panels and the gap between the stiffened panels and the supported steel block. Strain gauges are installed on the plates and the stiffeners to record the distribution of strain. This series of experiments is compared to a series of tests with narrow panels (two stiffeners), which allows analysing the effect of the width on the strength of stiffened panels.     

双向正交密加筋板的极限强度预报

采用数值分析方法,对一系列单轴受压的双向正交密加筋板进行了有限元非线性计算。基于有限元数值计算结果和正交异性板理论,引入纵向加强筋的柔度λx、横向加强筋的柔度λy以及密加筋板的柔度β这3个参数变量,提出了关于这3个参数变量的双向正交密加筋板极限强度预报公式。对3种类型加强筋的双向正交密加筋板的极限强度分析结果表明,预报公式结果与有限元计算结果的绝对误差很小,能准确预报双向正交密加筋板的极限强度。     

A detailed finite element investigation of the effects of local lateral high-velocity impacts on the ultimate strength of unstiffened steel plates subjected to uniaxial in-plane compression

In this paper, the ultimate strength of unstiffened steel plates under uniaxial in-plane compression is numerically studied considering the local lateral impact of a rigid-body impactor. The plates are made of mild steel, where its behaviour is modelled by using the Johnson-Cook material model. The material parameters of the Johnson-Cook material model calibrated by the authors were employed for predicting the behaviour of the target in order to numerically reproduce the impact tests. The value of average in-plane stress of the plates is determined accounting for the collision of rigid-body impactor with masses of 50–150 gr and velocities of 400–1200 m/s. Moreover, the effects of stress waves induced as a result of lateral impact of the rigid-body impactor on the ultimate strength of the plates under uniaxial in-plane compression are also assessed. The results indicate that the ultimate strength of the plate decreases due to stress-wave creation and thus, it is required to take that into account. Besides, it is revealed that assuming the final damaged state of the plate after being laterally impacted by the rigid-body impactor as an initial condition, does not yield a correct response when evaluating its ultimate compressive strength under uniaxial in-plane compression.     

Effect of welding sequence on residual stress and distortion in flat-bar stiffened plates

Numerical simulation based on finite element modelling is used to study the influence of welding sequences on the distribution of residual stress and distortion generated when welding a flat-bar stiffener to a steel plate. The simulation consists of sequentially coupled thermal and structural analyses using an element birth and death technique to model the addition of weld metal to the workpiece. The temperature field during welding and the welding-induced residual stress and distortion fields are predicted and results are compared with experimental measurements and analytical predictions. The effect of four welding sequences on the magnitude of residual stress and distortion in both the plate and the stiffener is investigated and their effects on the ultimate strength of the stiffened plate under uniaxial compression are discussed. Appropriate conclusions and recommendations regarding the welding sequence are presented.     

A computational investigation of the effects of both-sides general corrosion on the buckling/plastic collapse behaviour and strength of stiffened plates

This paper presents the results of an investigation into the post-buckling behaviour and ultimate strength of imperfect corroded stiffened steel plates used in ships and other marine-related structures. A series of elastic–plastic large deflection finite element analyses is performed on stiffened steel plates suffering general corrosion wastage with random distribution. General corrosion is introduced into the finite element models using a random thickness surface model. The effects of corroded stiffened plate parameters on the post-buckling and ultimate strengths are evaluated in detail. The stiffeners of different symmetrical or unsymmetrical cross-sections are introduced into the models for analysis. Some distinctions are explored and highlighted between the behaviours of steel plates suffering general corrosion in unstiffened and stiffened cases. Finally, a proposal is given in order to simulate the average stress–average strain relationship of stiffened steel plates having both-surface general corrosion wastage.     

Residual stress measurement in an extra thick multi-pass weld using initial stress integrated inherent strain method

Residual stresses existing in a multi-pass butt joint with a thickness of 70 mm, using a flux-cored arc welding process, were measured by an inherent strain method (ISM). Since such a thick plate before welding contains a large amount of initial residual stresses (−300 to +100 MPa), the initial stresses were integrated with conventional ISM in order to determine the total residual stresses in a welded joint. Two methods named as initial stress integrated ISM and initial inherent strain integrated ISM were suggested for the consideration of the initial stress distributions through the thickness of base plates. The results show that there is a significant difference between the integrated ISM with initial stresses or initial inherent strain and the conventional ISM without initial stresses. The residual stresses measured by any of the initial stress integrated ISM and initial inherent strain integrated ISM agreed well with the neutron diffraction measurement. Thus, the proposed initial stress integrated ISM is a proper destructive measurement method in the case of thick weld joints.     

基于J积分的含裂纹加筋板在单轴拉伸载荷下的极限强度计算

为研究含裂纹加筋板的极限拉伸强度,本文建立一系列不同长细比、不同裂纹长度、不同裂纹位置的含裂纹加筋板有限元模型,并基于J积分理论对其在单轴拉伸载荷下的极限强度进行了计算。结果发现含裂纹加筋板极限拉伸强度随加筋板长细比的增大略有减小,但减小的程度并不明显;含裂纹加筋板极限拉伸强度随裂纹长度的增大而减小,且减小的幅度逐渐增大;加强筋上的裂纹对含裂纹加筋板极限强度的影响小于底板上的裂纹,而裂纹同时出现在底板和加强筋上时对含裂纹加筋板极限拉伸强度的影响最大。表明含贯穿型裂纹的加筋板在单轴拉伸载荷下的剩余强度对加筋板长细比不敏感,而对裂纹长度较为敏感。