Prediction of crack growth in 350WT steel subjected to constant amplitude with over- and under-loads using a modified wheeler approach

Previous efforts have suggested that tensile overloading may cause significant crack growth retardation. On the other hand, crack growth acceleration may occur under the influence of compressive underloading. In practice, however, the effects of compressive underloading are often neglected. An experimental/analytical and computational investigation was therefore undertaken to evaluate the effects of both tensile and compressive overloading on the fatigue crack growth behavior in 350WT steel.Simplicity and accuracy in fatigue crack growth prediction is of extreme importance. One of the most commonly used models for crack growth prediction under variable amplitude loading is that of Wheeler. Unfortunately, overload effects involving compression cannot be handled by the model in its current form. Using a computational methodology, an effective plastic zone was established as a mean to incorporate the sequence effects, thus resulting in creation of a modified Wheeler approach. Fatigue life predictions provided by the revised approach/model agree reasonably well with experimental results.     

变幅载荷作用下焊接接头疲劳寿命预测方法

船舶与海洋结构物在其服役过程中受到波浪等载荷的交变作用而引起结构的疲劳损伤.检测结果表明船舶及海洋结构的疲劳热点部位大多数是在构件相互连接的焊缝焊趾处.因此,研究典型接头表面裂纹应力强度因子统一计算方法以及变幅载荷作用下表面裂纹扩展规律对船舶与海洋结构物的寿命预测是十分重要的.本文讨论了裂纹闭合及开口比的计算,在Newman有效应力强度因子计算方法的基础上,提出了考虑因素更全面的有效应力强度因子幅计算式以及变幅载荷作用下船舶与海洋结构物典型焊接接头疲劳裂纹扩展寿命预测模型.     

循环载荷下AH32钢低周疲劳与累积塑性破坏交互作用试验研究

文章对AH32钢在循环载荷下低周疲劳破坏和累积塑性破坏的交互作用进行了试验研究.试验中分析了平均应力、应力幅值及应力比对低周疲劳裂纹扩展寿命和累积塑性应变的影响.试验结果表明,较大的循环载荷下发生两种失效模式,由裂纹扩展导致的低周疲劳失效和较大的塑性应变导致的累积塑性破坏.在试验结果的基础上,文中提出了考虑低周疲劳破坏和累积塑性破坏交互作用的失效模型,模型结果与试验结果较为吻合,说明其具有一定的可行性.     

Fatigue life prediction of welded ship details

Ship structures are submitted to variable cyclic loading during navigation. The cyclic motion of waves induces variable and complex loadings in the structure, which could generate fatigue damage. Moreover, most of these metallic structures are welded assemblies. This technique generates local stress concentrations at the weld toe, which becomes a critical area regarding fatigue. In previous works, a methodology to predict fatigue life was developed and tested on butt-welded and cruciform joints. The present work focuses on other welded assemblies in order to extend fatigue crack initiation life evaluation to a wider range of ship details. The strategy could be split into two steps. First, a finite element calculation is performed under constant or variable amplitude loadings, in order to analyze the elastic shakedown of the structure. To characterize the material heterogeneity of the welded joint, experimental tests together with micro-hardness measurements, are performed on a simulated heat-affected zone. If there is a shakedown in the structure, a post-treatment is applied to predict the fatigue crack initiation. It is based on a two-scale damage model, initially developed by Lemaitre et al. and again includes the heterogeneity of fatigue properties. To validate this methodology, some experimental tests have been performed on welded assemblies which are typical of shipbuilding applications, using a fatigue machine. These comparisons between experimental and numerical fatigue lives are encouraging.     

Numerical simulation of fatigue crack propagation under biaxial tensile loadings with phase differences

Fatigue crack propagation under the biaxial tensile loading, which loading directions are normal and parallel to the initial crack position, is highlighted in this study. Most of in-service structures and vessels are subjected to many types of loading. Generally, these loadings have different axial components with different phases. However, the structural integrities of structures and vessels are evaluated according to design codes based on theoretical and experimental investigations under a uniaxial loading condition. Most of these codes are based on the S–N curves approach. An approach that does not use S–N curves has been favored by researchers, with the fracture mechanics approach preferred for evaluating the fatigue life of structures. An advanced fracture mechanics approach was developed based on the Re-tensile Plastic zone Generating (RPG) stress criterion for fatigue crack propagation. In this study, fatigue crack propagation tests under biaxial loading with six different phase and loading conditions are performed and the effect of the phase difference under biaxial loading is evaluated. A numerical simulation method of fatigue crack propagation based on the RPG stress criterion under different biaxial loading phase conditions is presented and compared to measured data.     

有效应力强度因子幅值计算模型的验证

裂纹闭合效应在金属疲劳中有着十分重要的作用,裂纹闭合概念已经用于解释变幅载荷作用下的裂纹扩展问题,已提出了许多基于裂纹闭合概念的有效应力强度因子计算模型.黄等人在Newman模型的基础上,提出了考虑因素更全面且便于应用的有效应力强度因子幅计算模型以及变幅载荷下工程结构疲劳寿命预测模型.为了验证该模型对不同材料的有效性和适应性,收集了一些相关的试验数据,和该模型的预测结果对比发现该模型的预测结果和试验数据符合得很好.对几种钢、铝合金和钛合金材料在不同应力比下的裂纹扩展速率数据用该模型转换成用有效应力强度因子表示的裂纹扩展速率,结果表明由有效应力强度因子幅表示的扩展速率将不同应力比下较分散的裂纹扩展率数据集中在一个很小的分散带内,同时得到了有参考价值的的一些结论.     

考虑累积塑性的船体裂纹板变幅低周疲劳裂纹扩展行为研究

船舶结构的扩展断裂失效往往是低周疲劳破坏和累积递增塑性耦合作用的结果,疲劳裂纹的扩展就是裂纹尖端前缘材料刚度不断降低、延展性不断耗失而逐渐分离的过程。基于弹塑性断裂力学理论,文章在作者对常幅载荷下提出的考虑累积塑性损伤的低周疲劳裂纹扩展速率预测模型的基础上对具有单个过载峰的拉伸/压缩过载下的扩展行为进行了研究。通过低周疲劳裂纹扩展试验进一步验证了该预测模型能合理评估具有单个过载峰的拉伸/压缩过载下的低周疲劳裂纹扩展行为。     

随机载荷作用下的疲劳裂纹扩展

船舶等许多工程结构在服役过程中的受载荷历程是一个随机过程.而变幅载荷下的载荷相互作用对疲劳裂纹扩展寿命将产生显著的影响.因此研究随机载荷作用下的裂纹扩展及定量计算对船舶结构的疲劳寿命预测的可靠性是十分重要的.该文提出了一个基于有效应力强度因子,以应力比和裂纹尖端塑性区尺寸为主要参数的随机载荷作用下疲劳寿命预测模型.该模型用于预测几种载荷谱作用下的裂纹扩展试验,结果表明预测结构和实验结果符合得很好.     

Full-scale fatigue tests of ship structures to validate the S–N approaches for fatigue strength assessment

Ships belong to those welded structures which are prone to fatigue due to high cyclic loads. Different approaches exist for the fatigue strength assessment which are varying between the industrial sectors. Therefore, deeper fatigue strength investigations were performed in Germany within an industry-wide joint research project aiming at the harmonization of the approaches. Regarding ship structures, two types were selected for full-scale tests. The first concerned web frame corners being typical for roll-on/roll-off ships (ro/ro) ships, from which three models were tested under constant amplitude loading. The second type was the intersection between longitudinals and transverse web frames, which recently showed fatigue failures in containerships. Five models were tested, three under constant and two under variable amplitude loading. All tests showed a relatively long crack propagation phase after first cracks had appeared, calling for a reasonable failure criterion. For the numerical analysis, the structural hot-spot stress as well as the effective notch stress approach have been applied. The latter allows the consideration of the weld shape which could partly explain differences in the observed and calculated failure behaviour. Another factor is the distribution of welding-induced residual stresses, which obviously affected the failure behaviour in the web frame corner as well. Insofar the investigations give a good insight into the strength behaviour of complex welded structures and into current problems and opportunities offered by numerical analyses.     

Fatigue analysis of welded joints: state of development

The literature on fatigue analysis of welded joints is reviewed, considering mainly papers and books published during the past 10–15 years. After a short introduction, the different approaches for fatigue analyses are covered, i.e. the nominal stress approach, the structural or hot-spot stress approach, the notch stress and notch intensity approach, the notch strain approach and finally the crack propagation approach. Only seam-welded joints are considered, and not the behaviour of spot-welds, which is a very special field. Due to the vast amount of relevant literature, some specific areas are left for other reviews or only touched, i.e. fatigue testing and evaluation, fatigue loading and variable amplitude effects, environmental effects and fatigue reliability.     

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.     

基于累积塑性破坏的船体板低周疲劳裂纹扩展寿命研究

船体板的总体断裂破坏往往是低周疲劳破坏与累积塑性破坏两种破坏模式耦合作用的结果,故在船体板低周疲劳裂纹扩展寿命评估中,其基于累积塑性应变的船体板低周疲劳裂纹扩展寿命分析能够更为符合实际地评估船体板的总体断裂承载能力。船体板低周疲劳裂纹扩展寿命由宏观可检测裂纹扩展到临界裂纹而发生破坏这段区间的寿命。船体在实际航行中受到多次波浪外载作用而使其进入塑性变形不断累积或不断反复的破坏过程,并最终导致低周疲劳裂纹的萌生及扩展而使结构破坏,其破坏形式分别对应于增量塑性变形破坏（或棘轮效应）或交变塑性变形破坏（或低周疲劳）。局部塑性变形的累积会加剧低周疲劳裂纹不断扩展,因而基于累积塑性破坏研究船体板低周疲劳扩展寿命更为合理。文中以船体板单次循环载荷后塑性应变大小为基础,依据累积递增塑性破坏过程及弹塑性理论,计算经过N次变幅循环载荷后船体板累积塑性应变值,结合循环应力—应变曲线获得相应的稳定的迟滞回线,确定裂纹尖端应力应变曲线及确定相关塑性参量并依据选取的断裂判据判定裂纹扩展。建立循环载荷下基于累积递增塑性破坏的船体板低周疲劳裂纹扩展寿命的计算模型考虑应力比对此裂纹扩展寿命计算模型的影响。由该方法计算出的疲劳裂纹扩展寿命将对正确预估船舶结构的低周疲劳强度从而提高船舶安全性有重要意义。     

循环载荷下考虑累积塑性影响的船体板CTOD理论及数值模拟研究

裂纹尖端张开位移(CTOD)是研究大范围屈服的低周疲劳破坏的重要参数之一,其值可反映结构材料抵抗低周疲劳裂纹形成和扩展的能力,是评估结构材料韧性的重要参量以及分析低周疲劳破坏引起裂纹扩展的主要控制参量。文章基于弹塑性断裂力学理论,从循环J积分着手,以裂纹尖端累积塑性应变为重要参量,建立循环载荷下船体板CTOD理论模型,并在有限元模拟中分析了应力比、应力幅等相关因素影响。将本模型结果与有限元计算结果进行了比较,发现结果吻合良好。结果表明：在考虑累积塑性影响下,该模型能较好地反映在循环载荷下船体板CTOD的变化规律,同时也为正确评估循环载荷下船体板低周疲劳破坏与累积塑性破坏两种破坏模式耦合作用的总体断裂破坏提供了途径。     

A simplified life estimation method for the spherical hull of deep manned submersibles

Creep and fatigue are involved in the loading of deep manned submersible, which is a rather complex variable amplitude pattern. Dwell effects resulting in lower life than pure fatigue are observed in the prior experimental research while no proper prediction methods are available to explain the phenomenon. Recently, the authors proposed a modified crack growth rate model to explain the creep effect under the cyclic loading which is validated for the crack growth of some titanium alloys under cyclic creep loading, however, its application is restricted to the condition where lots of parameters have to be determined based on many experiments and it is not very convenient in the material selection and primary design stage of a component. In this paper, a simplified prediction model for the load pattern of constant amplitude cyclic loading is proposed aiming at one of the most applicable materials for the pressure hull of submersibles, Ti–6Al–4V ELI. The method can be easily used to estimate the life of the pressure hull based on two series of basic mechanical properties of the material and validated by the modified crack growth rate model with parameters determined by large amounts of experimental data.     

450MPa级船体钢焊缝疲劳试验研究

通过对450MPa级船体用钢母体试件、焊缝试件在波浪随机载荷和均方根等效载荷下的疲劳裂纹扩展规律的试验和模拟计算，结果表明用均方根等效载荷替代波浪随机载荷下的疲劳裂纹扩展规律是一种安全有效的方法，并且焊缝金属在抵御疲劳裂纹扩展方面优于母材金属。     

Flexural fatigue behavior of butt-welded circular concrete-filled double skin steel tube (CFDST)：Experimental study and numerical modeling

Detailed understandings on the fatigue behavior of the concrete-filled double skin steel tubes (CFDSTs) under multiaxial stress states are essential to promote their applications in marine structures. A systematical investigation consisting both the experimental study and the according numerical modeling has been conducted. Physical tests were carried out to investigate the flexural fatigue behavior of the butt-welded hollow steel tubes (HSTs), concrete-filled steel tubes (CFSTs) and CFDSTs, in which the development of fatigue cracks and the fatigue life were captured. The feasibility of applying the existing S–N curves originally obtained from the HSTs to the constitutive steel tubes within the CFDSTs has been consequently verified. A two-stages simulation method was developed to analyze the full range development of fatigue cracks based on both the damage mechanics and the extended finite element method (XFEM). The influence of the multiaxial stress states on the fatigue behavior for the constitutive steel tubes was studied quantitatively, considering the offshore application scenarios where the steel tubes within the CFDSTs were subjected to larger external hydrostatic pressure or internal transmitted content pressure. The results show that the existence of the infilled concrete can effectively improve the fatigue behavior of the steel tubes. The life prediction models for both the fatigue crack initiation stage and propagation stage have been proposed, where the crack initiation life of the steel tube may reduce by 30% when its stress triaxiality increases from 0.36 to 0.48.     

Multi-scale modeling of fatigue crack propagation applied to random sequence of clustered loading

Fatigue crack propagation in marine structures is obviously governed by mechanics of the considerably different four levels of multi-scale problems. Problems of structural response to environmental loads have length scale of several hundred meters, whereas possible detectable size of cracks from initial defects in a weld is of the order of millimeters. Once a fatigue crack initiates, crack tip plasticity is of the order of several grain sizes, while the resulting fatigue crack growth in each load cycle is of the order of nanometers. In our previous work, the first author and their associates have developed the so-called CP-System, which can treat the first two multi-level problems as an integrated system. Furthermore, we have incorporated the third level of mechanics by using the stress intensity range corresponding to the repeated tensile plastic deformation ahead of the crack tip. In the present paper, we shall discuss a more rational integral equation-based formulation in order to integrate the third and fourth levels of micro-mechanics to the first two levels of continuum mechanics.The method is then applied to fatigue crack propagation under the effects of random sequence of clustered loading. As an example of the random sequence of clustered load, we shall use the so-called “storm model”. In the crack propagation simulation, we have to take into account of the plastic wake on the crack surfaces, whose thicknesses are influenced by the material parameters involved in the crack growth model. These parameters are first identified by the fatigue tests under combined constant and random loading using a CT specimen. Then, fatigue crack growth is investigated by numerical simulation and fatigue tests for various random sequences of clustered loading. The experimental and numerical results agree quite well with each other, and fatigue crack propagation is found to be considerably retarded under random sequence loading, so that the conventional equivalent stress approach may provide rather conservative results to the real seaway loading.     

两级交变载荷下船体结构典型节点疲劳试验研究

江海直达船属于浅吃水大型宽船,往复航经江段和海段,其疲劳问题不容忽视。将江段和海段载荷简化为小和大2级交变载荷,选取较为典型的船底纵骨贯穿横舱壁节点,通过对比试验探讨2级交变载荷对该船疲劳寿命的影响。试验结果表明,在试验工况下,变幅载荷中的大载荷是导致裂纹扩展的主要因素,小载荷的参与会降低大载荷作用下裂纹扩展的速率。采用等效应力法对变幅载荷下节点的疲劳寿命进行评估,发现采用Miner准则所得结果偏保守,采用均方根法所得结果偏危险,采用修正的Miner准则所得结果精度较高,推荐采用该方法评估2级交变载荷下船体结构典型节点的疲劳寿命。     

一种基于累积损伤理论和裂纹尖端弹塑性应力场的裂纹扩展预测方法

文章提出了一种预测疲劳寿命的应力循环叠加和损伤循环叠加的双重叠加方法。该方法依据累积损伤理论,通过分析变幅载荷下裂纹尖端的应力场,采用应力循环叠加的方法反映残余应力的影响;同时利用SWT应力应变和寿命的关系,循环叠加裂尖损伤。该方法能够很好地反映过载时裂纹扩展的迟滞效应,适合变幅载荷下疲劳寿命的评估分析。     

基于残余应力释放的FPSO典型焊接接头的疲劳强度修正公式

由于浮式生产储油卸油船(FPSO)等船舶结构在服役前常常经历过较大的静载荷,这个预载荷常常会使焊接接头处较高的残余应力产生释放,同时船舶结构还承受着不断变化的波浪载荷,所以在估算FPSO等船舶结构典型焊接接头的疲劳强度时,需考虑残余应力释放的影响.该文通过有限元方法分析了在任意变幅循环载荷下,疲劳热点处的残余应力释放的规律,归纳出残余应力释放的大小与初始残余应力和外载荷之间的关系公式.然后,利用此公式对改进的疲劳估算公式进行修正,并且利用修正后的公式估算不同预载荷下典型焊接接头的疲劳强度,结果与试验结果棚符合.利用修正的改进公式可以更合理地对典型焊接接头在任意变幅循环载荷下的疲劳强度进行设计,同时也合理地解释了疲劳试验中以往不能被理解的结果.