Approximate method to determine the model parameters in a new crack growth rate model

Marine structures are subjected to complex loading histories and one of the most significant failure modes is fatigue. Accurate prediction of the fatigue life of marine structures is very important for both safe and economic design and operation. Now many researchers and engineers have realized that fatigue crack propagation theory can provide more rational basis to predict the fatigue life of metal structures. At the same time, more and more fatigue crack growth models are proposed along with a good understanding of metal fatigue mechanisms. However, it is difficult to determine a large number of model parameters, which restricts their use in practical engineering problems. Therefore, it is significant to study the approximate methods for estimating the model parameters in good fatigue crack growth models.In our previous work, an extended McEvily model for fatigue crack growth analysis of metal structures was proposed. This model shows promising capability to explain various fatigue phenomena. In order for the convenient use in estimating fatigue life of marine structures, the concepts and approximations of the model parameters are comprehensively studied in this paper. Based on that, more reasonable assumptions and empirical formulas to determine the parameters are recommended. The approximate method is validated by experimental results of several types of materials, which could be successfully used in simple and effective engineering analysis for marine structures.     

海洋结构物疲劳裂纹扩展寿命的一种工程预报方法

海洋结构物疲劳寿命的准确预报对海洋结构安全具有重要意义。基于裂纹扩展的寿命预报相比于常规的基于累积损伤理论的寿命预报方法,能够考虑载荷次序、初始缺陷等重要因素的影响,各大船级社极力推进裂纹扩展理论在海洋工程中的应用。文章从裂纹扩展法则、应力强度因子求解、疲劳载荷谱模拟上对裂纹扩展理论的工程应用进行研究,试图找出准确、合理且相对简单的方法。结合裂纹扩展的单一曲线模型、基于有限元子模型技术的应力强度因子求法以及基于谱分析的疲劳载荷谱产生方法,对某半潜式钻井平台典型焊接节点进行基于裂纹扩展疲劳寿命预报,并讨论了初始裂纹尺寸对疲劳寿命的影响。结果表明,该半潜平台焊接结构符合设计寿命的要求,初始裂纹尺寸对疲劳寿命影响很大,可为海洋结构物基于裂纹扩展的疲劳寿命预报提供参考。     

基于统一的疲劳寿命预报方法（UFLP）的深潜器载人舱疲劳可靠性分析

疲劳是承受循环载荷的金属结构最重要的失效机制,现已有多种金属疲劳寿命预报方法。实际的设计、制造、加工和操作等工序环节中总是存在不确定性,这些不确定性的影响将在结构的疲劳寿命中富集,为此发展了疲劳可靠性分析。该文讨论了将疲劳可靠性分析方法和统一的疲劳寿命预报方法（UFLP）相结合的可行性,为海洋结构物的安全使用提供参考。文中的极限状态方程是基于统一的疲劳寿命预报方法（UFLP）得到的,并讨论了其中各参数对疲劳寿命的影响;针对一组TC4-ELI的疲劳裂纹扩展数据,分别采用Monte-Carlo法和JC法开展了疲劳可靠性分析,两种分析方法得到的结果彼此符合得较好。     

基于损伤力学和XFEM的舰船蒸汽轮机叶片裂纹扩展研究

叶片作为舰船汽轮机的核心零部件,其在复杂工况下的低周疲劳寿命一直是备受关注的问题。传统的寿命预测方法大多是基于经验公式进行求解,没有考虑损伤累积对材料固有属性的影响,也没有对裂纹萌生和扩展过程进行全面的分析。文章以损伤力学的基本理论为基础,考虑叶片实际非对称循环的工作状态,引入平均应力的概念,推导叶片低周疲劳寿命的计算公式以及损伤随循环次数变化关系的表达式。同时基于有限元分析软件ABAQUS,使用XFEM方法模拟叶片裂纹扩展并进行低周疲劳寿命分析,并与所给出的理论计算结果进行对比。结果表明,所建立的基于损伤力学的低周疲劳寿命计算结果与基于扩展有限元的裂纹扩展模拟结果吻合较好,其对于舰船汽轮机叶片等工程结构的寿命预测具有一定价值。     

改进的疲劳裂纹扩展率模型及其参数估算方法

疲劳裂纹扩展率曲线是任何基于裂纹扩展理论的疲劳寿命预报方法的基本疲劳特性。论文作者们提出了一种改进的疲劳裂纹扩展率模型,它可以解释金属疲劳试验中观察到的各种现象。为了便于工程应用,文中也给出了如何利用除裂纹扩展试验以外的其它试验结果来估算该模型参数的方法。文中还对恒幅载荷下该模型及其参数估算方法对HTS-A钢的适用性进行了分析,分析结果将为利用该模型预报由HTS-A型钢制成的海洋结构物的疲劳寿命提供基础。     

钛合金疲劳裂纹扩展速率试验及预报方法

本文针对深海载人潜水器耐压壳用钛合金,开展疲劳性能试验研究,得到该类型钛合金的室温断裂韧性,载荷比R=0.1下的疲劳裂纹扩展门槛值及疲劳裂纹扩展速率,基于选用的疲劳裂纹扩展预报模型,对载荷比R=0.1下的钛合金疲劳裂纹扩展行为进行了预报研究。结果表明:在载荷比不变的前提下,应力强度因子范围是疲劳裂纹扩展速率的主要影响因素,应力强度因子范围的增加会导致疲劳裂纹扩展速率增加;考虑小裂纹效应的疲劳裂纹扩展预报模型可对钛合金的疲劳裂纹扩展行为进行准确预报。     

钛合金疲劳小裂纹扩展行为预报方法研究

针对小裂纹扩展阶段裂纹尖端塑性区域尺寸相对于小裂纹长度是不可忽略的问题,在考虑小裂纹效应裂纹扩展速率修正模型基础上,对该模型中裂纹尺寸进行修正,即裂纹长度等于真实裂纹长度加上平面应变状态下裂纹尖端塑性区域一半;并利用修正后的模型对钛合金材料不同情况下疲劳小裂纹扩展速率和寿命进行预报,同时将预报结果与试验值比较.结果表明:修正后的预报模型对小裂纹扩展速率和寿命均有很好的预报效果.     

改进的统一疲劳裂纹扩展速率预报模型对合金在常幅载荷下普遍适用性的研究

精确预报金属结构的疲劳对确保结构安全及指导结构设计与维修具有重要的意义.作者们基于McEvily模型提出了一个改进的统一疲劳裂纹扩展速率模型,其将疲劳裂纹扩展的三个扩展区域统一起来,并能解释更多的疲劳试验现象.文中对该模型进行了详细阐述,同时对模型参数的工程预报方法进行了讨论.为了进一步检验本模型的可靠性,还对不同载荷比下各种材料疲劳裂纹扩展率的预报结果与实验结果进行了对比,对比结果证明了该模型的准确性及其在常幅载荷下对不同材料的普遍适用性.     

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.     

考虑塑性损伤的船体裂纹板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破坏耦合作用的结果,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结果.基于弹塑性断裂力学理论,文章提出了考虑累积塑性损伤的低周疲劳裂纹扩展速率预测模型.通过低周疲劳裂纹扩展试验拟合出模型相关材料参数并验证预测模型的合理性.通过系列有限元计算对平均应力及应力幅值的影响因素进行了数值分析.该模型的计算结果与已有实验结果基本吻合;对合理预估船体裂纹板的常幅低周疲劳裂纹扩展寿命有重要意义.     

疲劳裂纹扩展规律的正切模型

为了用解析方法合理地描述疲劳裂纹扩展的三个阶段,提出了一种新的疲劳裂纹扩展模型——正切模型。该模型驱动力使用应力强度因子幅值K,能够描述裂纹扩展的三个阶段,且只有四个参数需要确定。通过非线性拟合确定疲劳裂纹扩展正切模型中的四个参数。研究了门槛值Kth和失稳值Kf与应力比R的关系,以及四个参数对裂纹扩展速率的影响。最后比较了试验值、九参数模型和正切模型在疲劳裂纹扩展速率曲线和裂纹扩展长度变化曲线等方面的差别,发现正切模型结果与试验数据较为吻合。该模型描述的裂纹扩展长度变化曲线能够较好地用于疲劳寿命评估。     

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.     

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.     

广义疲劳裂纹扩展模型在单一过载疲劳问题中的应用

对于复杂载荷作用下的船舶及海洋工程结构物,至今仍没有一个统一的疲劳寿命预报模型能够很好地解释载荷次序效应的影响.单峰过载下的疲劳裂纹扩展问题是研究变幅载荷疲劳问题的基础,伴随单峰过载将出现疲劳裂纹扩展迟滞现象.课题组所提出的广义疲劳裂纹扩展模型能够定量地预报出过载迟滞这一现象,通过确定过载参数β的大小,能够有效地衡量出过载迟滞的程度.在此基础上,文章将广义的疲劳裂纹扩展模型进行了进一步的修正,通过引入一个幂指数项,使得模型能够更好地反映出过载后疲劳裂纹扩展速率由迟滞的最低点逐渐恢复到过载前的水平.文中将课题组所发展的广义疲劳裂纹扩展率模型应用于实际的单峰过载疲劳问题中,并引用铝合金D16Cz的单峰过载试验数据与模型预报结果进行了比较,结果发现,经修正的广义疲劳裂纹扩展模型能够更好地反映出单峰过载后的疲劳裂纹扩展情况.     

含裂纹船用气瓶安全评价及剩余寿命预测

针对船用气瓶使用过程中出现的疲劳失效问题,开展含裂纹气瓶安全评价及剩余寿命预测研究,通过疲劳裂纹扩展速率试验,得到疲劳裂纹扩展速率公式。对3种典型尺寸表面裂纹进行理论计算,获得船用气瓶安全评定结果和临界裂纹尺寸,并通过3种人工预制裂纹疲劳试验和安全评价验证理论公式的合理性。评定结果表明：当初始裂纹深度[a]≤1.5 mm,长度[2c]≤10 mm时,船用气瓶可安全使用至下一周期。     

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.     

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。     

考虑小裂纹和保载时间效应的疲劳可靠性分析

大深度载人潜水器的载人舱材质是高强度金属,不可避免地会受到疲劳损害现象的挑战。实际的载人舱结构中存在着由外部因素和内部因素引起的不确定性,其疲劳寿命将受到这些不确定性的影响。在前期的研究中,课题组基于统一的疲劳裂纹扩展率模型进行了疲劳可靠性分析方法的探讨,可作为进一步进行载人舱疲劳寿命预报的基础。但是,该模型无法反映小裂纹和保载时间的影响,而这正是载人舱结构和所受载荷的重要特征,应进行深入研究。所以,课题组提出了一个小裂纹扩展率模型和两个反映保载时间效应的裂纹扩展率模型,以更好地解释载人舱用钛合金金属的蠕变疲劳特性。文中基于这三个模型,结合不同的理论方法,进行了疲劳可靠性分析,考察了可靠度分析方法之间的不同、输入参数以及不同的裂纹扩展理论模型对结构的疲劳可靠性的影响。     

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.     

肘板趾端表面裂纹在随机波浪载荷作用下的疲劳扩展预报

肘板趾端是船舶与海洋结构的疲劳热点。文章用三维有限元分析了趾端表面裂纹应力强度因子修正系数的变化规律,并与BS7910推荐的典型节点表面裂纹应力强度因子公式计算结果作了对比,结果表明趾端表面裂纹应力强度因子沿深度方向的放大系数和T型节点相差很小,而表面端点应力强度因子修正系数则当裂纹长度在肘板厚度范围内时和T型节点相差很小,超出后则相差较大。以某客滚船上肘板趾端应力范围长期分布服从Weibull分布,产生系列均值为零的应力幅,应力强度因子分别采用有限元结果和BS7910中T型接头公式进行计算,采用单一曲线模型计算该趾端表面裂纹的裂纹扩展。计算等效应力强度因子幅时,考虑焊接残余应力的影响。计算结果表明以T型接头的公式计算趾端表面裂纹应力强度因子和有限元结果相差很小。建议将T型节点表面裂纹应力强度因子计算公式用于趾端表面裂纹应力强度因子的计算,并采用单一曲线模型对随机波浪载荷下作用下船舶典型节点疲劳裂纹的扩展寿命进行了预报。