Experimental and numerical study of localized pitting effect on compressive behavior of tubular members

Locally pitted tubular members are usually considered as stub columns to assess the ultimate strength. However, it is not suitable for those with relatively larger slenderness ratios as their failure behavior is more complex and closely related to corrosion features of localized pitting. This paper presents compressive column tests on locally pitted tubular members of a moderate slenderness ratio. Corrosion pits were artificially introduced on local surface of the members, forming corrosion patches with various corrosion features. A numerical modelling method was proposed to reproduce the test specimens. Localized pitting damage was proven to cause substantial declines in the load deformation capacity and ultimate strength, and have a significant effect on the failure mode. The failure of a pitted member is mostly initiated by local buckling after yielding occurs in the corrosion patch, concurrent with pitting closure, and even shear cracking of member wall due to the perforated pits. Moreover, shape change of the corrosion patch most likely results in the failure mode to alter from column buckling to local buckling or interactive buckling. The shape ratio of the corrosion patch is one of the critical factor to influence the ultimate strength of locally pitted members. The proposed modelling method is applicable for extensive stochastic simulations so as to develop an empirical formula and to clarify the probabilistic characteristics of ultimate strength.     

Effect of pitting corrosion on local strength of hold frames of bulk carriers (1st report)

Firstly, pitting corrosion observed on hold frames in way of cargo holds of bulk carriers which exclusively carry coal and iron ore has been investigated in detail. It was shown that the shape of the corrosion pits observed on them is a circular cone and the ratio of the diameter to the depth is in the range between 8 to 1 and 10 to 1, which is different from the trend observed for the bottom shell of the oil tanker where the ratio is in the range between 4 to 1 and 6 to1.Secondly, a series of tensile tests has been conducted to investigate the effect of pitting corrosion on tensile strength of members. It was pointed out that the tensile strength decreases gradually and the total elongation decreases drastically with the increase of the thickness loss due to pitting corrosion. The reduction of the tensile strength of the members with pitting corrosion is larger than that of members with uniform thickness loss in terms of average thickness loss.Thirdly, a series of compressive buckling tests has been performed to examine the influence of pitting corrosion on buckling behavior of members. It was found that compressive buckling strength of pitted members is smaller than or equal to that of members with uniform thickness loss in terms of average thickness loss.Finally, an elasto-plastic analysis by FEM has been carried out to simulate the compressive buckling test in order to validate the method of modeling members with pitting corrosion. An attempt has been made to simulate the compressive buckling behavior of pitted members using shell elements of which meshing size is almost the same as the original thickness of the pitted plate.     

Effect of pitting corrosion on the ultimate strength of steel plates subjected to in-plane compression and bending

Corrosion pits with a circular cone shape are typically observed on coated hold frames of aged bulk carriers which carry exclusively coal and iron ore. In order to ensure the safety of these types of bulk carrier, it is necessary to understand the effect of pitting corrosion on the local strength of hold frames. In order to investigate this effect, a series of nonlinear finite-element (FE) analyses has been performed with pitted plates subjected to in-plane compressive loads and bending moments. It has been shown that the ultimate compression load or bending moment of pitted plates is smaller than that of uniformly corroded plates in terms of average thickness loss, and that predictions of the ultimate strength using the average thickness loss at the minimum cross section would be conservative. In order to establish a method of evaluating strength reduction due to pitting corrosion, it is important to identify the failure mode that would be most detrimentally affected by pitting corrosion. It was found that the reduction of the ultimate compressive load or bending moment due to pitting corrosion is smaller than that of the tensile strength in terms of equivalent thickness.     

船舶开孔梁局部屈曲的无网格MLPG分析方法

[目的]针对船舶开孔梁板易产生局部屈曲效应、受到较高的集中载荷作用会产生明显的结构响应和屈曲破坏力的问题,提出采用无网格数值方法对该类问题进行数值分析。[方法]首先,以问题域离散节点为基础建立其紧支函数,运用加权余量法建立系统位移场离散方程,并由移动最小二乘法构造离散节点的形函数,以获得位移函数的逼近函数;然后,结合经简化的屈曲评估法,将屈曲方程特征值求解进行降阶处理,得到更为精确的屈曲载荷因子;最后,进行算例演示,比较所提方法和传统计算方法并进行验证。[结果]结果显示,所提方法有效,其结果与原结构有着更高的契合度。[结论]针对开孔板梁的无网格法数值分析特性可为分析各种形状的蜂窝状板梁结构提供一种新的思路。     

Research on the dynamic buckling of a typical deck grillage structure subjected to in-plane impact Load

The dynamic buckling of the main deck grillage would result in the total collapse of the ship hull subjected to a far-filed underwater explosion. This dynamic buckling is mainly due to the dynamic moment of the ship hull when the ship hull experiences a sudden movement under impact load from the explosion. In order to investigate the ultimate strength of a typical deck grillage under quasi-static and dynamic in-plane compressive load, a structure model, in which the real constrained condition of the deck grillage was taken into consideration, was designed and manufactured. The quasi-static ultimate strength and damage mode of the deck grillage under in-plane compressive load was experimentally investigated. The Finite Element Method (FEM) was employed to predict the ultimate strength of the deck grillage subjected to quasi-static in-plane compressive load, and was validated by comparing the results from experimental tests and numerical simulations. In addition, the numerical simulations of dynamic buckling of the same model under in-plane impact load was performed, in which the influences of the load amplitude and the frequency of dynamic impact load, as well as the initial stress and deflection induced by wave load on the ultimate strength and failure mode were investigated. The results show that the dynamic buckling mode is quite different from the failure mode of the structure subjected to quasi-static in-plane compressive load. The displacements of deck edge in the vertical direction and the axial displacements are getting larger with the decrease of impact frequency. Besides, it is found that the dynamic buckling strength roughly linearly decreased with the increase of initial proportion of the static ultimate strength P₀. The conclusions drawn from the researches of this paper would help better designing of the ship structure under impact loads.     

加筋板格高级屈曲分析技术研究及软件开发

文章给出了基于弹性大挠度理论和刚塑性分析的加筋板格高级屈曲分析方法(EPM),该方法包括五种失效模式,即正交加筋板格整体屈曲、纵向加筋子板格整体屈曲、纵向加筋和带板的局部屈曲或屈服、纵向加筋的侧倾以及全部屈服,可以考虑初始挠度和残余应力的影响以及双向压缩和侧向载荷的联合作用。以EPM方法为核心开发了加筋板格高级屈曲分析软件系统,包括任务管理、数据输入、屈曲分析、结果查看、能力曲线和文件分析等六个模块。为验证EPM方法的精度进行了系列纵向加筋和正交加筋板格试验模型的比较计算,并计算了四种典型加筋板格的双向应力能力曲线,与板格极限状态分析（PULS）软件和协调共同结构规范（HCSR）方法进行了比较分析。结果表明EPM方法可以分析联合载荷等因素对加筋板格极限强度的影响,文中开发的软件系统可用于加筋板格高级屈曲分析。     

深水导管架桩腿制造误差与抗屈曲特性研究

文章通过典型算例详细阐述了具有制造误差的深水导管架桩腿屈曲分析方法,将线性扰动加载的特征值届曲预测算法和描述几何非线性屈曲过程的改进的Riks算法应用于导管架桩腿的详细设计校核,对比研究了模态扰动模拟制造误差和直接模拟制造误差模型的分析结果,并对典型桩腿结构在静水外压下的弹塑性屈曲响应特性进行了研究.分析结果表明,随着制造误差的增加,导管架桩腿抗静外压的临界屈曲载荷在下降,而且制造误差大的桩腿的极限承载能力较低.     

腹板开孔的H型梁在压弯载荷下的失效行为和强度试验研究

腹板开孔的H型钢梁在船舶,航空器和海洋平台结构作为受弯构件被广泛运用。已有众多文献报道过关于腹板开孔梁遭受腹板卷曲破坏的情况,但腹板开孔加强遭受面板屈曲的情况未有详尽调查。因此文中开展6组试件的试验研究来调查腹板开孔的H型梁的失效行为和极限承载力,结果显示开孔影响了试件屈曲波的长度和数量。该研究结果可用于几何尺寸相似的实际结构。     

桁材开孔腹板的线性屈曲强度分析

船体在总纵弯曲时甲板纵桁和船底纵桁承受较大的轴向压力,而在桁材腹板上开孔会影响其腹板的屈曲强度.针对这一问题,应用有限元屈曲特征值分析方法对受轴向压力开孔腹板的屈曲载荷进行计算.通过对计算结果的分析,对开孔尺寸和开孔位置对腹板屈曲强度影响的规律进行了归纳,并对腰圆孔和圆孔对腹板屈曲的影响程度做出了比较,对船体结构中腹板开孔尺寸及位置提出了一些建议.     

点蚀板在纵向压力下的极限强度研究

本文着眼于老龄化船舶结构上的局部点状腐蚀和整体点状腐蚀,利用非线性有限元软件分析了超过100个船体板结构的极限强度。研究了蚀坑形状、蚀坑位置、蚀坑大小、蚀坑深度和板的柔度对含局部点状腐蚀船体板的极限强度的影响,蚀坑分布、板的柔度和腐蚀体积对含点状腐蚀船体板的极限强度的影响。拟合出了单面、双面局部点状腐蚀下的船体板极限强度折减公式,单面、双面点状腐蚀下的船体板极限强度折减公式。并得到同时适用于局部和整体点状腐蚀板极限强度的公式。     

Compressive strength of tubular members with localized pitting damage considering variation of corrosion features

Localized pitting corrosion often occurs on marine and offshore structures in the form of patch corrosion with great uncertainties in the location, size and shape. The variation of corrosion features affects ultimate strength of tubular members significantly, but it is still not well understood. This paper presents a numerical study on tubular members of diverse slenderness ratios to clarify the localized pitting effect on ultimate strength. Numerical analyses were performed based on novel models of pitted members that were calibrated against benchmark column tests. Corrosion pits were randomly introduced on the local outside surfaces of members via stochastic simulation, forming corrosion patches varied in the location, size and shape. Numerical results obtained were regressed to propose a unified empirical formula to predict ultimate strength. It turned out that the shape of the corrosion patch has a significant influence on the ultimate strength. The shape change of the patch can alter failure modes of medium length columns. The reduction of ultimate strength is closely related to the shape ratio of the patch besides the volume loss of corroded material. The unified empirical formula incorporating the shape ratio and the volume loss shows a good ability to predict the experimental results.     

船舶圆弧过渡肘板节点的屈曲破坏研究

船体构件腹板在连接端部逐渐升高形成圆弧过渡肘板节点,较大的腹板尺寸导致其受弯时易出现屈曲破坏,从而影响船体结构的安全性。以典型圆弧过渡肘板连接的横梁-肋骨节点结构为研究对象,采用极限强度试验与非线性有限元模拟方法,研究肘板节点受弯时的破坏模式、极限载荷以及屈曲过程,讨论肘板臂长、圆弧半径、面板厚度对节点结构屈曲破坏的影响。结果显示:考虑初始缺陷的非线性有限元模拟结果与试验结果一致;根据肘板尺寸的不同,屈曲破坏的位置包括靠近肋骨的横梁腹板区域以及肘板与横梁过渡圆弧处的腹板区域;随着肘板臂长的增加,不同圆弧半径时节点的极限载荷均为先增大后趋于不变;随着圆弧半径的增加,肘板臂长较小的节点极限载荷缓慢上升,肘板臂长较大的节点极限载荷则近似呈线性增长趋势;面板厚度对极限载荷的影响较小,随着面板厚度的增加,极限载荷先缓慢增加后趋于不变。     

Computation of ultimate strength of locally corroded unstiffened plates under uniaxial compression

Over the past decades there have been many losses of the merchant vessels due to either accidents or exposure to large environmentally induced forces. The potential for the structural capability-degrading effects of both corrosion and fatigue induced cracks are of profound importance and must be both fully understood and reflected in vessel's inspection and maintenance programme. The present study is focused on assessing the effects of localized pitting corrosion which concentrates at one or several possibly large area on the ultimate strength of unstiffened plates. Over 256 nonlinear finite element analyses (FEA) of panels with various locations and sizes of pitting corrosion have been carried out. The multi-variable regression method is applied to derive new formulae to predict ultimate strength of unstiffened plates with localized corrosion. The results indicate that the length, breadth and depth of pit corrosion have weakening effects on the ultimate strength of the plates while plate slenderness has only marginal effect on strength reduction. Transverse location of pit corrosion is also an important factor determining the amount of strength reduction. When corrosion spreads transversely on both edges, it has the most deteriorating effect on strength. It was also found out that the proposed formulae can accurately predict the ultimate strength of unstiffened plate with localized corrosion.     

点蚀损耗对船体梁极限强度的影响（英文）

The paper focuses on the assessment of the hull girder ultimate strength,combined with random pitting corrosion wastage,by the incremental-iterative method.After a brief review about the state of art,the local ultimate strength of pitted platings under uniaxial compression is preliminarily outlined and subsequently a closed-form design formula is endorsed in the Rule incremental-iterative method,to account for pitting corrosion wastage in the hull girder ultimate strength check.The ISSC bulk carrier is assumed as reference ship in a benchmark study,devoted to test the effectiveness of the incremental-iterative method,by a comparative analysis with a set of FE simulations,performed by Ansys Mechanical APDL.Four reference cases,with different locations of pitting corrosion wastage,are investigated focusing on nine combinations of pitting and corrosion intensity degrees.Finally,a comparative analysis between the hull girder ultimate strength,combined with pitting corrosion wastage,and the relevant values,complying with the Rule net scantling approach,is performed.Based on current results,the modified incremental-iterative method allows efficiently assessing the hull girder ultimate strength,combined with pitting corrosion wastage,so revealing useful both in the design process of new vessels and in the structural health monitoring of aged ships.     

外接平板型金属夹层结构连接构件极限强度分析

激光焊接钢质夹层结构在国外已用于实船,其连接形式是亟待解决的关键问题之一。基于有限元分析软件ANSYS,研究了面内载荷作用下,I型金属夹层结构外接平板型连接构件的失效模式和极限承载能力,以及5种典型初始缺陷的尺寸和连接构件的设计参数对极限载荷的影响规律。结果显示,连接构件较短时,结构失效的主导因素是焊接接头形成了塑性铰;连接构件较长时,主导因素是连接构件失稳。对于各种类型的初始缺陷,随初始缺陷尺寸的增大,极限载荷均降低;连接构件、以及靠近连接构件的夹层面板和夹层腹板的初始缺陷对极限载荷的影响较大。在控制重量的条件下,欲增大极限承载能力,最有效的途径是增大连接构件厚度,并选取合适的连接构件长度。     

复杂载荷作用下船体板格屈曲强度计算公式研究

分析复杂载荷作用下船体板格结构屈曲强度的影响因素,基于ANSYS软件APDL模块参数化建模,对这些因素进行相关性分析,排除无关参数,保留有关参数,得到屈曲强度的定性表达式。然后变更有关参数,得到不同的有限元模型,通过计算得到不同模型下的屈曲强度,分析大量数据,最终得到屈曲强度的定量表达式。该公式可以在工程上用于复杂载荷作用下船体板格结构的屈曲评估,具有重要的实用价值。     

含点蚀损伤船体加筋板在纵向压力下的极限强度

针对老龄化船舶结构上的点状腐蚀,利用非线性有限元方法进行计算,分析304个船体加筋板的极限强度,探讨带板柔度、加强筋柔度、腐蚀面积比和腐蚀深度比对纵向压力下含点蚀损伤船体加筋板极限强度的影响,拟合出点状腐蚀下船体加筋板极限强度折减公式并对其适用性进行验证,研究结果具有一定的工程参考意义和价值。     

点蚀损伤板在复杂受力状态下的极限强度研究

采用非线性有限元软件模拟船底板单面点腐蚀,通过对边缘载荷系数比、蚀坑分布、直径、深度的改变,经过一系列的数值计算分析,结果表明横向载荷和侧压对板的极限强度影响不可忽略,计算板的极限承载能力时需要考虑计及侧压与横向载荷。在复杂受力状态下,就单考虑蚀坑深度时,板表面的蚀坑深度在0~0.5t区间变化时,极限强度相应的折减率比大于1/2板厚时更大,极限强度对蚀坑深度更加敏感。腐蚀面积不能有效表征腐蚀程度,当DOP系数相同时,点蚀后板的最小横截面决定了极限强度的大小。     

Assessment of IACS-CSR implicit safety levels for buckling strength of stiffened panels for double hull tankers

The present study aims at applying structural reliability methods to assess the implicit safety levels of the buckling strength requirements for longitudinal stiffened panels implemented in the IACS Common Structural Rules (CSR) for double hull oil tankers. The buckling strength requirements considered are used in the initial stage of the hull girder scantlings’ design to control the buckling capacity of longitudinal stiffened panels subjected to the compressive loads induced by the hull girder vertical bending. The following buckling collapse failure modes are explicitly considered in the design formulation: uniaxial buckling of the plating between stiffeners, column buckling of stiffeners with attached plating and lateral-torsional buckling or tripping of stiffeners.The paper presents the procedure used to assess the implicit safety levels of the strength requirements for the three buckling collapse failure modes above mentioned, which includes the optimization of the scantlings of the plate panels and longitudinal stiffeners in order to reflect the minimum strength required by the formulation. A first order reliability formulation is adopted, and stochastic models proposed in the literature are used to quantify the uncertainty in the relevant design variables. A sample of five oil tankers representative of the range of application of the IACS-CSR design rules is considered. The effect of corrosion in the implicit safety levels is quantified based on the three corrosion levels of the Net Thickness Approach (NTA) adopted in the design rules. Sensitivity analyses are also performed to quantify the relative contribution or importance of each design random variable to the implicit safety levels.     

含坑点腐蚀的深海耐压球壳有限元分析

对于含坑点腐蚀等局部缺陷的球壳结构,由于结构的不连续性以及缺陷部位应力状态的三维特性,因此很难用传统的连续介质理论及板壳理论进行求解。为了对含坑点腐蚀的球壳的强度、稳定性进行精确分析,文中分别采用坑点腐蚀壳体单元(Pitting Corrosive Shell Element,PCSE)、基于多点约束(Multipoint Constraint,MPC)的壳体单元-实体单元集成以及实体单元三种方法进行对比计算,对比结果表明,采用PCSE方法的计算效率最高,且计算结果的精度满足工程应用要求。最后,基于PCSE方法并通过方差分析,讨论了坑点腐蚀对球壳强度及稳定性的影响。