Numerical study on fatigue crack growth at a web-stiffener of ship structural details by an objected-oriented approach in conjunction with ABAQUS

It is necessary to manage the fatigue crack growth (FCG) once those cracks are detected during in-service inspections. This is particular critical as high strength steels are being used increasingly in ship and offshore structures. In this paper, a simulation program (FCG-System) is developed utilizing the commercial software ABAQUS with its object-oriented programming interface to simulate the fatigue crack path and to compute the corresponding fatigue life. In order to apply FCG-System in large-scale marine structures, the substructure modeling technique is integrated in the system under the consideration of structural details and load shedding during crack growth. Based on the nodal forces and nodal displacements obtained from finite element analysis, a formula for shell elements to compute stress intensity factors is proposed in the view of virtual crack closure technique. Neither special singular elements nor the collapsed element technique is used at the crack tip. The established FCG-System cannot only treat problems with a single crack, but also handle problems with multiple cracks in case of simultaneous but uneven growth. The accuracy and the robustness of FCG-System are demonstrated by two illustrative examples. No stability and convergence difficulties have been encountered in these cases and meanwhile, insensitivity to the mesh size is confirmed. Therefore, the FCG-System developed by authors could be an efficient tool to perform fatigue crack growth analysis on marine structures.     

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.     

A computational approach for fatigue crack propagation in ship structures under random sequence of clustered loading

The authors have developed a simulation program, CP-System, for multiple cracks propagating in a three-dimensional stiffened panel structure, where through-the-thickness crack propagation is formulated as a two-dimensional in-plane problem, and the crack propagation behavior is simulated by step-by-step finite element analyses. In order to evaluate the fatigue lives of marine structures accurately, it is necessary to take into account the load histories induced by sea waves, which may be composed of a random sequence of certain clustered loads with variable stress range. In the proposed crack growth model, the crack opening and closure behavior is simulated by using the modified strip yielding model, and the effective tensile plastic stress intensity range, ΔK _RP, is calculated by considering the contact of plastic wake along the crack surfaces. The adequacy of the proposed crack growth model is examined by comparison with fatigue tests under non-constant-amplitude loading. The usefulness of the developed method is demonstrated for a ship structural detail under certain simulated load sequences. It is shown that the fatigue crack growth of a ship structure is significantly retarded due to the load interaction effects, so that the conventional method for fatigue life assessment may predict a relatively conservative fatigue life of a structure.     

A reliability approach to fatigue crack propagation analysis of ship structures in polar regions

Fatigue is a common failure mode in ship structures. For structures with an initial crack, the fatigue crack propagation behavior needs to be considered. The purpose of this study is to establish a procedure for analysis of fatigue crack propagation of ship structures in combination with reliability methods. The stress intensity factor (SIF) and geometry correction factor are calculated by means of finite element analysis. Validation for the SIF calculation is achieved by comparing the computed results with those based on related solutions. Since fatigue damage usually occurs in weld areas, the effect of such components on the fatigue crack propagation behavior was also considered in this work. The Paris law in combination with the Monte Carlo technique are employed for the fatigue crack propagation analysis in this study. Reliability updating based on inspection for cracks is also carried out. A computer program was developed for the purpose of fatigue crack propagation analysis within the framework of reliability methods. An application example of fatigue crack propagation in relation to the hull of the icebreaker Xuelong 2 is presented. The sensitivity of the procedure to key analysis parameters (sample size, initial crack size) is also considered. Finally, the effect of low temperatures on the computed results is also analyzed.     

Comparison of different structural stress approaches for fatigue assessment of welded ship structures

The structural stress approach, which considers the stress increase due to the structural configuration, allows the fatigue strength assessment of welded ship structures with various geometries on the basis of an S–N curve depending only on the type of weld. However, a unique definition and the numerical calculation of the structural stresses are problematic, which has resulted in the development of different variants of the approach. These are discussed and compared with each other in the present paper. The application to three examples shows the variation and differences in the analysed stresses and predicted fatigue lives, which are compared with those derived from fatigue tests.     

基于规范方法的小水线面双体船疲劳强度研究

论文介绍了船舶结构疲劳强度评估基本原理,并对一条2200t级小水线面双体船进行规范法疲劳强度评估。针对小水线面双体船结构特点,采用规范进行疲劳载荷计算;结合全船有限元计算结果进行疲劳部位筛选;采用有限元法提取疲劳部位的热点应力,并计算疲劳部位的累积损伤度。分析计算结果,提出疲劳部位优化方案。     

船体纵骨典型节点疲劳裂纹扩展寿命评估

基于有限元软件ABAQUS,结合虚拟裂纹闭合法、裂纹扩展判据及子结构技术,应用脚本语言Python开发出模拟疲劳裂纹扩展的程序(FCG-System)。对含初始裂纹的油船纵骨典型节点在侧面压力作用下进行疲劳裂纹扩展数值模拟,并探讨了软趾、背肘板及防倾肘板对疲劳裂纹扩展路径和寿命的影响。结果表明,增设软趾、背肘板或防倾肘板都会使裂纹扩展路径曲率增大,且软趾、防倾肘板可使裂纹扩展寿命增大,背肘板可使裂纹扩展寿命减小。     

船舶管理公司实施ISM及NSM规则

船舶管理公司作为近几年新生的船舶安全与防污染管理的责任主体,是海事部门公司管理的重要对象,其在船舶安全与防污染管理方面的作用也越来越大。笔者通过参与船舶管理公司的体系审核,对船舶管理公司的运作情况进行了调查和分析,对船舶管理公司在实施ISM及NSM规则方面,提出了自己的观点和看法。     

Experimental investigation of structural system capacity with multiple fatigue cracks

Few experimental data sets exist in the literature to support the development and evaluation of digital twins predicting structural degradation. The literature is especially sparse for system tests where multiple failures occur and interact. In this work, a laboratory-level experiment is conducted to mimic many of the properties of larger and more complex marine structures with redundant load paths, failure interaction, and component-to-system level integration. In the experiment, such properties are reflected by a hexagon tension specimen with four propagating fatigue cracks tested under displacement-controlled loading. The applied loading cycles and corresponding crack lengths are recorded as the major time-varying data of degradation, with the resisting force at maximum extension used as the system capacity. A novel computer vision method is used to measure the crack length. Strain gauges are also used to monitor the structure’s status. The experimental data is presented and analyzed in this paper. The resulting data sets can be used to evaluate the performance of different digital twin updating approaches.     

"金盛"轮主机气缸盖裂纹的原因分析与管理

针对金盛轮主机MAN-B＆W6L35MC气缸盖裂纹的原因，从理论上进行了分析和探讨，并提出日常管理中的注意事项，为轮机管理人员处理雷同故障提供参考。     

不同数值积分方式对海洋结构物疲劳裂纹扩展模拟结果的影响

海洋结构物的疲劳寿命预报是当前的研究热点,文章根据第二作者率领的课题组提出的海洋结构物疲劳寿命预报统一方法比较了疲劳裂纹扩展模拟的三种数值积分方法：逐周数值积分法、△N积分法和△a积分法,并分析了每种方法的适用条件。随后,以中心表面裂纹承受单向交变拉伸载荷的平板为例,分别运用三种方法计算了裂纹扩展寿命和最终裂纹尺寸。同时,研究了△N和△a取值不同对结果的影响。最后,综合考虑计算耗时和计算结果精度,给出了△N积分法和△a积分法的建议值,即△N/N≤1.0%,△a≤0.1 mm。     

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。     

船舶含裂纹焊接结构剩余疲劳寿命可靠性预报

船舶服役期间工程技术人员需要对已检测到裂纹的构件进行剩余疲劳寿命可靠性评估,以便做出维修决策.鉴于基于S-N曲线和累计损伤理论的常规疲劳寿命预报方法对于损伤难以明确定义,本文基于裂纹扩展理论对船舶疲劳热点剩余疲劳寿命可靠性预报方法进行研究.在考虑应力比和应力强度因子幅门槛值的情况下,研究求解裂纹扩展预报的快速数值计算方法.通过与蒙特卡洛模拟相结合,预报可靠性指标随时间的变化曲线、一定存活率下的剩余疲劳寿命等.以油船上某疲劳热点为研究对象,进行剩余疲劳寿命可靠性预报,为工程应用提供参考.     

Determination of attainable regions in ship maneuvers: an application of differential inclusions to the modeling of ship dynamics

A commonly used mathematical tool in vehicle dynamics simulation is the ordinary differential equation. However, in some situations, these equations may not be sufficient to solve problems. For robust flight, surface ship or submarine control design, safety assessment, missile and aircraft guidance, the influence of disturbances, and differential games of pursuit–evasion, more versatile tools are needed. The differential inclusion (DI) is a generalization of a differential equation that can be extremely useful. The solution of a DI is not just a model trajectory or a set of trajectories obtained by a randomization of the original problem. The solution is a reachable set, and it is a deterministic object. A differential inclusion solver and its application to vessel movement are described. Compared to previous publications on the DI solver, the new feature is an implementation of the fuzzy sets technique to improve the resulting images. It is pointed out that the reachable sets cannot be assessed properly while treating the uncertain variables as random. The application of the DI solver can give a proper view of the regions in the state space where all the possible model trajectories belong.     

复杂载荷作用下潜艇结构疲劳裂纹扩展预报方法

统一疲劳裂纹扩展模型是课题组在McEvily模型基础上提出来的,它将疲劳裂纹扩展的3个扩展区域统一起来,并能解释更多的疲劳试验现象.本文介绍了统一疲劳裂纹扩展模型的基本表达式.将此模型与焊缝焊趾表面裂纹应力强度因子的计算方法结合起来,探讨复杂载荷作用下潜艇结构疲劳裂纹扩展预报方法.将服从Weibull分布的随机载荷系列编排为升序、降序载荷谱及随机载荷谱,预报潜艇锥柱结合壳焊缝焊趾处表面裂纹在3种载荷谱下的疲劳裂纹扩展情况,并分析随机载荷谱下载荷次序效应及初始裂纹尺寸对疲劳裂纹扩展行为的影响.结果表明,载荷次序效应对潜艇结构疲劳寿命的影响很明显,且合理的确定初始裂纹尺寸对潜艇结构的疲劳寿命预报是非常重要的.     

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.     

Fatigue crack propagation and computational remaining life assessment of ship structures

The fitness for serviceability of structural members of marine structures in which fatigue cracks might be found during in-service inspection is investigated in order to prevent instantaneous failures of ships, as well as a loss of serviceability such as the oil- and/or watertightness of critical compartments. The essential features of fatigue crack propagation and the remaining life assessment are discussed in the first part of the paper, where the effects of weldment, complicated stress distributions including stress biaxialities at three-dimensional structural joints, structural redundancy, and crack curving are found to be of primary importance. The second part of the paper contains a discussion of an advanced numerical simulation method for the remaining life assessment, in which the above-mentioned effects of fatigue crack propagation are taken into account. The simulated crack paths and the fatigue crack propagation lives are found to be in fairly good agreement with the experimental results.     

基于裂纹扩展理论的船体结构疲劳评估

疲劳破坏是船舶结构的主要破坏形式之一。为了保证船舶结构有足够的疲劳强度,各国船级社、船厂等均建立了船舶结构疲劳强度校核规范作为船舶疲劳评估的指导性文件,尽管这些规范均是建立在S-N曲线方法基础上的,但由于S-N曲线方法存在自身无法克服的缺陷(如忽略材料的初始缺陷等),对同一节点进行计算得到的疲劳寿命大相径庭。该文作者在基于裂纹扩展理论的基础之上,给出了一套详细的船体结构疲劳评估方法,并应用此方法对大型船舶结构典型节点的疲劳寿命进行评估,以期能为完善船舶结构疲劳寿命的评估提供参考。     

基于平衡计分卡的船舶企业成本管理与控制研究

船舶制造业受全球经济影响,船市持续低迷,要想在市场中保持竞争力,获得相对成本优势异常关键。文章提出基于平衡计分卡的管理方法,尝试结合某船舶修造企业实际,运用层次分析法构建基于平衡计分卡的绩效评价体系,算出不同因素的影响权重。依据所得出的权重,突破原有的依据财务控制成本的方法,从多方面控制企业成本,旨在探索船舶企业成本管理与控制的新方法。