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.     

初始尺寸对超声疲劳试样的影响及铝合金6063疲劳试验验证

狗骨形试样具有中间等截面段试验有效区。采用悬链线代替圆弧线的轮廓方程,获得了狗骨形试样的解析计算方法。分析结果表明,试样初始尺寸在一定范围内取值时轮廓方程代替所引起的误差控制在3%以内。可通过增大变截面段长度或粗、细端的半径比来缩短试样长度,但增大变截面长度会降低试样位移应力系数。尽管狗骨形试样的位移应力系数不如沙漏形试样,但狗骨形比沙漏形更节省试验材料,而且其位移应力系数也足够满足试验要求。铝合金6063的超声疲劳试验表明,狗骨形试样的设计等式是可行的。铝合金6063的S-N曲线呈现持续下降的趋势,其疲劳裂纹扩展以剪切方式进行,并且呈现裂纹表面萌生机制。疲劳源区与裂纹扩展区之间存在明显的台阶。     

深海超高压环境模拟容器裂纹评定

深海超高压环境模拟容器用于模拟水下压力环境,其容器壁上承受反复载荷,容易产生疲劳裂纹.疲劳裂纹扩展是影响其断裂的主要因素.本文旨在分析半椭圆裂纹在老化的深海超高压环境模拟容器中的扩展行为,评估容器的安全性,因此对材料20MnMoNb钢的裂纹扩展特性进行了试验研究,首先考虑三角形和梯形加载情况,通过比较两组实验结果,考察了其材料对保载时间的敏感性.采用基于统一的裂纹扩展率模型的三维有限元方法进行了疲劳裂纹扩展计算,并通过CT试样的一组数值和实验结果进行了验证,最后建立了不同初始尺寸、展弦比和倾角的裂纹有限元模型,并根据裂纹在容器内壁的容许深度准则,计算了容器的剩余寿命.其分析结果可为深海超高压环境模拟容器可靠性评估提供参考.     

AFM试样复合加载下的计算断裂分析(英文)

Fracture processes in ship-building structures are in many cases of a 3-D character.A finite element (FE) model of an all fracture mode (AFM) specimen was built for the study of 3-D mixed mode crack fracture behavior including modes I,II,and III.The stress intensity factors (SIFs) were calculated by the modified virtual crack closure integral (MVCCI) method,and the crack initiation angle assessment was based on a recently developed 3-D fracture criterion––the Richard criterion.It was shown that the FE model of the AFM-specimen is applicable for investigations under general mixed mode loading conditions,and the computational results of crack initiation angles are in agreement with some available experimental findings.Thus,the applicability of the FE model of the AFM-specimen for mixed mode loading conditions and the validity of the Richard criterion can be demonstrated.     

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.     

Remaining fatigue life assessment of corroded mooring chains using crack growth modelling

Failures caused by the combined actions of fatigue, corrosion and wear are important safety concerns for mooring chains used on floating structures in the oil and gas industry. Prediction of remaining corrosion fatigue life based on surface condition could therefore be a useful tool for the continued safe operation of corroded chains. This paper investigates the use of crack growth modelling for estimating the remaining corrosion fatigue life of mooring chains that exhibit significant pitting corrosion damage. A crack growth modelling approach is used to produce remaining fatigue life estimates for a selection of severely pitted mooring chains. Using fatigue crack growth rate test results for grade R4 high strength mooring chain steel, empirical crack growth laws are presented for free corrosion and cathodic protection conditions at load ratio R = 0.1. Two different methods for establishing equivalent cracks from surface scans of corrosion damage are presented. The mooring chains are proof loaded as part of their manufacturing process. Residual stresses introduced during this process have therefore been determined by finite element analysis and accounted for in the fatigue crack growth predictions. One of the equivalent crack models, accounting for the single dominant corrosion pit, provided quite accurate fatigue life predictions when compared with full scale test results.     

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.     

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。     

船舶焊接钛合金拉伸疲劳断裂机理的研究

通过对TC4钛合金焊接试样拉伸疲劳断裂试验结果及其断口和卸载表面观察分析,发现试样断口上有明显的河流花纹走向和起裂源,并伴有韧窝和韧性条带特征。起裂源常位于断口表面角落附近。其断裂机理是疲劳拉伸载荷作用下,在应力值比较高的时候一些沿层裂纹开始出现并扩展,当疲劳裂纹的长度达到与疲劳外加力所匹配的临界裂纹长度时,突然发生准解理断裂。试样断口呈现出准解理与韧窝断裂的混合特征。     

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.     

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.     

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。     

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.     

含裂纹加筋板在压缩载荷下的剩余极限强度试验研究

在老龄化引起的船舶结构安全性问题中,裂纹损伤是结构强度衰减的一个重要因素。文章采用逐步加载法对含裂纹损伤的加筋板压缩剩余极限强度进行试验研究。设计六种典型的穿透裂纹损伤加筋板,对损伤试件进行轴向压缩试验。通过改变裂纹尺寸、位置及倾角参数并根据试验观测结果,探讨了不同裂纹参数下加筋板的屈曲破坏特点和对剩余极限强度影响。试验结果表明,不同的裂纹长度以及裂纹位置改变加筋板结构承载力的分布,影响结构应力应变场,进而改变其失效崩溃模式;倾角为45°的裂纹相对于垂直于加筋的裂纹对加筋板结构的剩余极限强度影响较小,此外初始缺陷对结构的剩余极限强度的影响也不容忽视。     

疲劳裂纹扩展模型中表征裂纹闭合水平参数的确定

借助7075-T 6铝合金、6013铝合金以及0.45w t%碳钢的疲劳试验数据,结合上述材料的力学性能参数,通过非线性最小平方拟合方法,研究了表征裂纹闭合水平参数k对疲劳裂纹扩展率的影响。研究结果表明,对于宏观裂纹范围内的疲劳裂纹扩展,参数k只要大于某个值就对疲劳裂纹扩展率无影响;而对于小裂纹阶段的疲劳裂纹扩展,参数k对疲劳裂纹扩展率的影响较明显,因此参数k的大小主要取决于小裂纹扩展数据。依据0.45w t%碳钢疲劳试验数据,相应参数k的建议值为6 000m-1。     

试样厚度对船用钢疲劳裂纹扩展速率影响的试验

为研究试样厚度对船用钢疲劳裂纹扩展速率的影响,设计并实施两组不同厚度的紧凑拉伸试样进行疲劳裂纹扩展速率试验,同时建立了三维疲劳裂纹扩展有限元模型,分别基于线弹性理论和弹塑性理论对应力强度因子进行了计算,并分析了试样厚度对裂纹扩展速率的影响。试验与计算结果的综合分析表明：相同应力水平下,薄试样裂纹尖端的塑性区明显大于厚试样,且裂纹尖端应力强度因子值大于理论经验计算结果可达23.25%,因此,在材料裂纹扩展速率试验前,特别是试样厚度尺寸较小时,应充分考虑试样的厚度效应,参考基于弹塑性理论计算得到的应力强度因子结果,同时有必要针对当前试样及材料进行专门的裂纹扩展速率试验,以得到准确裂纹扩展参数结果。     

板厚对14MnNbq钢焊接件疲劳裂纹扩展速率的影响

为研究厚板的原始焊接板厚及取样位置对疲劳裂纹扩展速率的影响规律,完成了14MnNbq钢5种原始焊接板厚(40 mm、50 mm、60 mm、80 mm和100 mm),共计30个疲劳试件的裂纹扩展试验。运用数理统计方法回归处理试验数据,得到了在给定置信水平下的5组da/dN-ΔK曲线以及Paris公式的拟合值参量,同时还得到了100 mm厚板不同取样部位的da/dN-ΔK曲线。结果表明:随着原始焊接板厚的增加,疲劳裂纹扩展速率也在加大;受取样位置的影响,表面试件比中部试件的疲劳裂纹扩展速率快。     

压力容器接管区应变分布模拟试样(ECT)的低周疲劳裂纹扩展

设计了一种含局部减薄半椭圆缺口的紧凑拉伸试样(ECT),以模拟压力容器接管区结构,并对16MnR钢的ECT试样进行了不同应力比的恒幅低周疲劳裂纹扩展试验.结果表明:ECT试样具有类似压力容器接管区的高应变分布场;低周疲劳裂纹扩展速率与由线积分定义计算的循环J积分,△J在双对数坐标中呈良好线性相关,且回归的材料参数与相同材质的高周疲劳试验获得的Paris常数基本一致.     

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。     

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。