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.     

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.     

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。     

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.     

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。     

Effect of pitting corrosion on local strength of hold frames of bulk carriers (2nd Report)—Lateral-distortional buckling and local face buckling

Pitting corrosion is typical corrosion observed on coated hold frames of bulk carriers which exclusively carry coal and iron ore. In order to secure the safety of these types of bulk carriers, it is important to understand the effect of pitting corrosion on local strength of hold frames.

In order to investigate this effect, a series of 4- and 3-point bend tests on structural models which consist of web, shell and face plates has been carried out. Artificial pitting was created on the web plate to simulate pitting. In the 4-point bend tests, two equal concentrated loads have been applied vertically at the one-third points of simply supported models so that compression load due to bending would act on the face plate. In this testing condition, lateral-distortional buckling occurred before reaching the ultimate strength and local buckling of the face plate was observed after reaching the ultimate strength. The effect of web plate pitting on the lateral-distortional buckling strength was found to be small but the ultimate strength decreases with increase in the degree of pitting intensity. In the 3-point bend tests, concentrated load has been applied vertically at the center of simply supported models so that compression load due to bending would act on the face plate. In this testing condition, local face buckling occurred just after reaching the ultimate strength. The ultimate strength is found to be decreasing with increase in the degree of pitting intensity.

A series of non-linear FE analyses has been performed to simulate the deformation behavior observed in the tests. It has been revealed that even in the case of randomly distributed pitting corrosion the ultimate strength of the structural models was almost the same as that of the structural models with uniform corrosion corresponding to the average thickness loss.     

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.     

CFRP修复的FPSO点蚀船体梁极限强度分析

采用非线性有限元法对中拱和中垂工况条件下碳纤维增强聚合物(Carbon Fiber Reinforced Polymer, CFRP)修复的浮式生产储卸油装置(Floating Production Storage and Offloading, FPSO)点蚀船体梁极限强度进行仿真分析。对比FPSO的完整船体梁、点蚀船体梁和CFRP修复的点蚀船体梁的中拱极限弯矩和中垂极限弯矩，分析CFRP对FPSO点蚀船体梁的修复效果，并分析胶层失效规律。结果表明，CFRP可为船舶的高效修复提供一种新的方式。     

船舶结构钢海洋环境点蚀模型研究之二:实船蚀坑形态与径深比时变模型

文章基于点蚀生长原理与实船蚀坑形态检测数据,对船舶受点蚀构件的两类主要蚀坑的形态、形成机制及其随船龄演化情况作了大致描述.认为遭受点蚀船舶构件的蚀坑形态与其所处位置、服役时间等密切相关;两类蚀坑形态差异的原因在于其各自点蚀进程中的具体控制因素及相应的影响程度存在较大区别.论述证明将点蚀蚀坑径深比处理成随时间变化的函数是有理论和事实依据的;并与点蚀深度模型相结合,依据Yamamoto实测散货船货舱区肋骨蚀坑数据建立了相应的蚀坑径深比时变模型.     

Ultimate strength assessment of simply supported pitted platings: A new stochastic approach based on Monte Carlo simulation

The ultimate strength assessment of platings affected by random corrosion wastage is a key factor for the reliable design of new ships and the structural health monitoring of aged structures, as pitting corrosion wastage significantly affects the ultimate capacity of platings under compression. In this respect, significant efforts have been undertaken in the last decade to assess the ultimate strength drop-off of pitted platings under compression and several interpolating design formulas, based on a large number of FE simulations, have been developed. Nevertheless, current Rules and guidelines don't provide any explicit strength check criterion for pitted platings. Hence, the main aim of current research is the development of a new framework for the ultimate strength assessment of pitted platings, based on a stochastic approach and the endorsement of Monte Carlo simulation. A new formula, which allows evaluating the statistical properties of the plating ultimate strength in presence of random corrosion wastage, is developed. Subsequently, a benchmark study is carried out, to compare the new formula with the existing ones available in literature and a wide set of FE simulations, carried out by Ansys APDL. Current results are discussed, and the effectiveness of the new formula is verified.     

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.     

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。     

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。     

Evaluation of ultimate strength of stiffened panels under longitudinal thrust

A series of collapse analyses is performed applying nonlinear FEM on stiffened panels subjected to longitudinal thrust. MSC.Marc is used. Numbers, types and sizes of stiffeners are varied and so slenderness ratio as well as aspect ratio of local panels partitioned by stiffeners keeping the spacing between adjacent longitudinal stiffeners the same. Initial deflection of a thin-horse mode is imposed on local panels and that of flexural buckling and tripping modes on stiffeners to represent actual initial deflection in stiffened panels in ship structures. On the basis of the calculated results, buckling/plastic collapse behaviour of stiffened panels under longitudinal thrust is investigated. The calculated ultimate strength are compared with those obtained by applying several existing methods such as CSR for bulk carriers and PULS. Simple formulas for stiffened panels, of which collapse is dominated fundamentally by the collapse of local panels between longitudinal stiffeners, are also examined if they accurately estimate the ultimate strength. Through comparison of the estimated results with the FEM results, it has been concluded that PULS and modified FYH formulas fundamentally give good estimation of the ultimate strength of stiffened panels under longitudinal thrust.     

考虑腐蚀影响的船舶结构可靠性研究现状与展望

对近年来考虑腐蚀影响的船舶结构可靠性计算各主要研究层面的研究现状做了介绍与评述.通过这一综述可以发现:此领域研究工作重心已由考虑线性、非线性均匀腐蚀的影响逐步向局部腐蚀尤其是点腐蚀方向转变.今后的研究重点为以下三个方面,即:①发展符合基本腐蚀机理、与实测腐蚀数据较为吻合的点腐蚀多指标模型;②确定蚀点几何参数在各类荷载条件下对构件强度的影响;③深入评估腐蚀与疲劳的相互作用对结构可靠性计算的影响.     

在面内压力作用下点腐蚀低碳钢板的非线性有限元分析(英文)

无论是军船还是民船,船体及主要结构构件表面的点腐蚀对于船舶结构强度和安全性都有较大的破坏作用.文中采用系列非线性有限元计算研究了点腐蚀对于低碳钢板极限抗压强度的影响,模型中计及板初始缺陷的影响,详细讨论了板和点腐蚀物理、几何特性的变化对于板极限承载能力的作用.研究发现在众多影响因素中(例如点腐蚀的直径和深度、板的柔度系数等),点腐蚀密集度指标DOP对于板的极限承载能力有主要和直接的影响.此外,在腐蚀环境恶劣的情况下,厚低碳钢板的使用不一定如预期的那样能延长其使用期限.     

考虑点腐蚀影响的海洋钢结构剩余极限强度研究进展

为得到考虑点腐蚀影响的海洋钢结构剩余强度研究领域的发展趋势,本文对国内外该领域公开发表的文章进行综述,根据本文的研究可以发现:由于海洋钢结构的大尺度和复杂性,数值模拟已成为受蚀船体结构剩余强度的主要研究方法,但模拟结构的有效性仍需进一步检验;对于点腐蚀,就研究参数而言,长细比、DOP、体积损失是学者们最为关注的指标,但对点蚀板强度缺少时变可靠性研究;计算模型中都缺乏对焊接残余应力的考虑.本文所做的研究可为该领域下一步研究方向提供参考.     

A general scaled model design method of stiffened plate subjected to combined longitudinal compression and lateral pressure considering the ultimate strength and collapse modes

A general and efficient scaled method for stiffened plates subjected to combined longitudinal compression and lateral pressure is proposed based on slenderness, simply by adjusting the number of stiffeners. The design method makes it easier to determine the dimensions of the scaled model for a given scale ratio compared with the previously proposed method. The emphasis is on the influence of the plate slenderness, the column slenderness, and the non-dimensional parameter of the lateral pressure on the ultimate strength. By maintaining the consistency of the plate slenderness and column slenderness, the proposed method is applicable for designing scaled models with materials of different yield stresses and Young's moduli. A similar effect of the lateral pressure on the ultimate strength of the prototype and scaled models is achieved by maintaining the non-dimensional parameter. In addition, the applicability of the scaled method to the initial deflection is considered, which provides a reference for similar models. The similitude of the scaled method is verified for several typical buckling modes, including the beam–column, tripping, web and overall collapse modes. Given the numerical results, the proposed general and fast scaled method can provide reasonable dimensions of scaled stiffened plates subjected to combined loads.     

A numerical investigation into strength and deformation characteristics of preloaded tubular members under lateral impact loads

This paper presents the results of a numerical investigation into the structural behaviour of preloaded tubular members under lateral impact loads by means of finite element method. The lateral load represents a statically modelled impact from collision between tubular member and a solid rectangular indenter. Three different kinds of end conditions have been applied to the model and the effects of boundary conditions are investigated. Also, the effect of preloading on the buckling strength as well as the ultimate strength for laterally impacted tubes is assessed and it will be shown that preloading and position of applying force directly affect these strengths. In other words, by increasing in the amount of preloading, ultimate strength reduces and member tends to collapse under lower amounts of loads. The influence of the position of applying lateral load has also been addressed and relevant results will be discussed. In order to verify the performance of numerical model, the results have been examined against an available experimental test.     

Time-variant ultimate longitudinal strength of corroded bulk carriers

Many bulk carrier losses have been reported of late, and one of the possible causes of such casualties is thought to be the structural failure of aging hulls in rough weather. In aging ships, corrosion and fatigue cracks are the two most important factors affecting structural safety and integrity. This paper uses a set of the time-dependent corrosion wastage models for 23 different member locations/categories of bulk carriers previously developed by the authors, based on the available corrosion measurements for existing large bulk carrier structures. Differences due to the location and corrosion severity of every member type are taken into account. The nominal design corrosion values for the primary members are suggested based on the annualized corrosion rates obtained in the present study. The effect of time-variant corrosion wastage on the ultimate hull girder strength as well as the section moduli is studied. The criteria for repair and maintenance of heavily corroded structural members so as to keep the ultimate longitudinal strength at an acceptable level are discussed. Important insights and conclusions developed are summarized.