残余应力的筛降效应及其对矩形板强度的影响

分析了船体板中残余应力的筛降,得到了在受拉和受压情况下的筛降水平的计算公式,并用有限元程序模拟了残余应力的筛降过程,验证了公式的有效性.分析了残余应力的筛降对板的平均应力-平均应变曲线的影响,采用两种方法分别得到了考虑筛降效应的板的平均应力-平均应变曲线的表达式,用有限元法进行了模拟计算,结果表明,分别计算受残余拉应力和残余压应力区的应力得到的平均应力-平均应变曲线和有限元计算结果符合得更好.     

在纵向压力作用下有初挠度的长矩形板的极限强度和有效宽度

本文应用薄板大挠度理论,对有初挠度的长矩形板在纵向压力作用下的屈曲后行为进行近似分析,推导出计算板的极限强度和有效宽度的理论公式。然后作适当简化,提出了计算板的折减系数的实用公式。该公式与美国海军用的Frankland公式很接近,与驱逐舰的实船破坏试验结果吻合,与国外板的试验结果及F aulkner公式也接近。鉴于我国沿用的苏联船舶结构力学手册中相应公式计算的折减系数值偏高,作者推荐本文提出的实用公式作为我国计算纵骨架式舰体纵向受压板的折减系数的公式。     

焊接诱导的残余应力对加劲板轴向极限强度影响的简化模型研究（英文）

The present work investigates the compressive axial ultimate strength of fillet-welded steel-plated ship structures subjected to uniaxial compression, in which the residual stresses in the welded plates are calculated by a thermo-elasto-plastic finite element analysis that is used to fit an idealized model of residual stress distribution. The numerical results of ultimate strength based on the simplified model of residual stress show good agreement with those of various methods including the International Association of Classification Societies(IACS) Common Structural Rules(CSR), leading to the conclusion that the simplified model can be effectively used to represent the distribution of residual stresses in steel-plated structures in a wide range of engineering applications. It is concluded that the widths of the tension zones in the welded plates have a quasi-linear behavior with respect to the plate slenderness. The effect of residual stress on the axial strength of the stiffened plate is analyzed and discussed.     

A Simplified Model for the Effect of Weld-Induced Residual Stresses on the Axial Ultimate Strength of Stiffened Plates

The present work investigates the compressive axial ultimate strength of fillet-welded steel-plated ship structures subjected to uniaxial compression, in which the residual stresses in the welded plates are calculated by a thermo-elasto-plastic finite element analysis that is used to fit an idealized model of residual stress distribution. The numerical results of ultimate strength based on the simplified model of residual stress show good agreement with those of various methods including the International Association of Classification Societies (IACS) Common Structural Rules (CSR), leading to the conclusion that the simplified model can be effectively used to represent the distribution of residual stresses in steel-plated structures in a wide range of engineering applications. It is concluded that the widths of the tension zones in the welded plates have a quasi-linear behavior with respect to the plate slenderness. The effect of residual stress on the axial strength of the stiffened plate is analyzed and discussed.     

A detailed finite element investigation of the effects of local lateral high-velocity impacts on the ultimate strength of unstiffened steel plates subjected to uniaxial in-plane compression

In this paper, the ultimate strength of unstiffened steel plates under uniaxial in-plane compression is numerically studied considering the local lateral impact of a rigid-body impactor. The plates are made of mild steel, where its behaviour is modelled by using the Johnson-Cook material model. The material parameters of the Johnson-Cook material model calibrated by the authors were employed for predicting the behaviour of the target in order to numerically reproduce the impact tests. The value of average in-plane stress of the plates is determined accounting for the collision of rigid-body impactor with masses of 50–150 gr and velocities of 400–1200 m/s. Moreover, the effects of stress waves induced as a result of lateral impact of the rigid-body impactor on the ultimate strength of the plates under uniaxial in-plane compression are also assessed. The results indicate that the ultimate strength of the plate decreases due to stress-wave creation and thus, it is required to take that into account. Besides, it is revealed that assuming the final damaged state of the plate after being laterally impacted by the rigid-body impactor as an initial condition, does not yield a correct response when evaluating its ultimate compressive strength under uniaxial in-plane compression.     

Strength and deformability of corroded steel plates under quasi-static tensile load

The objective of this study was to estimate the strength and deformability of corroded steel plates under quasi-static uniaxial tension. In order to accurately simulate this problem, we first estimated the true stress–strain relationship of a flat steel plate by introducing a vision sensor system to the deformation measurements in tensile tests. The measured true stress–stain relationship was then applied to a series of nonlinear implicit three-dimensional finite element analyses using commercial code LS-DYNA. The strength and deformability of steel plates with various pit sizes, degrees of pitting intensity, and general corrosion were estimated both experimentally and numerically. The failure strain in relation to the finite element mesh size used in the analyses was clarified. Two different steels having yield ratios of 0.657 and 0.841 were prepared to examine the material effects on corrosion damage. The strength and deformability did not show a clear dependence on the yield ratios of the present two materials, whereas a clear dependence was shown with respect to the surface configuration such as the minimum cross-sectional area of the specimens, the maximum depth of the pit cusp from the mean corrosion diminution level, and pitting patterns. Empirical formulae for the reduction of deformability and the reduction of energy absorption of pitted plates were proposed which may be useful in strength assessment when examining the structural integrity of aged corroded structures.     

Residual stress measurement in an extra thick multi-pass weld using initial stress integrated inherent strain method

Residual stresses existing in a multi-pass butt joint with a thickness of 70 mm, using a flux-cored arc welding process, were measured by an inherent strain method (ISM). Since such a thick plate before welding contains a large amount of initial residual stresses (−300 to +100 MPa), the initial stresses were integrated with conventional ISM in order to determine the total residual stresses in a welded joint. Two methods named as initial stress integrated ISM and initial inherent strain integrated ISM were suggested for the consideration of the initial stress distributions through the thickness of base plates. The results show that there is a significant difference between the integrated ISM with initial stresses or initial inherent strain and the conventional ISM without initial stresses. The residual stresses measured by any of the initial stress integrated ISM and initial inherent strain integrated ISM agreed well with the neutron diffraction measurement. Thus, the proposed initial stress integrated ISM is a proper destructive measurement method in the case of thick weld joints.     

Vibrations of imperfect ship plating

This paper deals with vibration analysis of plates in marine structures. It is the main purpose of the paper to demonstrate that in order to obtain reliable frequency predictions it is necessary to include in the vibration analysis the effects of the unavoidable imperfections caused by welding or lateral fluid pressure. Furthermore, practical procedures for including these effects are presented. Simple algebraic expressions are derived for determination of small amplitude natural frequencies of vibration of initially imperfect rectangular plates subjected to uniaxial in-plane loads. The theoretical results show close agreement with experimental results available in the literature. For plating of marine structures with typical welding induced geometric imperfections and residual stresses it is shown that the lowest natural frequency of the unloaded imperfect plate can be twice as high as that of the perfect plate. For vibration analyses of plates submerged in a liquid the importance of taking into account deflections and membrane stresses caused by the hydrostatic pressure is demonstrated.     

Strength of ship plates under combined loading

Strength of ship plates plays a significant role in the ultimate strength analysis of ship structures. In recent years several authors have proposed simplified analytical methods to calculate the ultimate strength of unstiffened plates. The majority of these investigations deal with plates subjected to longitudinal compression only. For real ship structural plating, the most general loading case is a combination of longitudinal stress, transverse stress, shear stress and lateral pressure. In this paper, the simplified analytical method is generalized to deal with such combined load cases. The obtained results indicate that the simplified analytical method is able to determine the ultimate strength of unstiffened plates with imperfections in the form of welding-induced residual stresses and geometric deflections subjected to combined loads. Comparisons with experimental results show that the procedure has sufficient accuracy for practical applications in design.     

单向压力作用下有初挠度矩形板的有效宽度和减缩有效宽度

本文应用von－karman大挠度薄板方程，对承受单向面内压力的有初挠度矩形板进行后屈曲特性分析（其中挠曲函数取为双博氏级数展开式的前三项）。用参数摄动法求解非线性代数方程组，得到最大压应力与平均压应力之间，平均压应力与平均应变之间的显式函数表达式。进而推导出有初挠度矩形板的有效宽度和减缩有效宽度公式，并着重分析了两者的不同。     

Experimental study on the collapse strength of wide stiffened panels

Five specimens are tested under axial compression until collapse to investigate the ultimate strength of wide stiffened panels with four stiffeners. To avoid the side bays collapse and reduce the influence of the clamped boundary condition on the collapse behaviour, the tests are made on panels with two half bays plus one full bay in the longitudinal direction with simply supported condition at the end edge of loading. Initial loading cycles are used to release the residual stresses of the stiffened panels and the gap between the stiffened panels and the supported steel block. Strain gauges are installed on the plates and the stiffeners to record the distribution of strain. This series of experiments is compared to a series of tests with narrow panels (two stiffeners), which allows analysing the effect of the width on the strength of stiffened panels.     

波生近岸流的数学模型研究

在理论上和数值技术上对已有的基于辐射应力理论的波生近岸流数学模型进行了改进,(1)使用考虑非线性作用的多向不规则波联合折射绕射数学模型确定波浪场,以期波场计算更加准确;(2)根据Dally等的研究成果,在波生流运动方程中加入破波切应力作用项,在辐射应力公式中加入了卷破波和波动Stokes漂流(Stokes drift)造成的向岸质量通量项,以期在破碎带内运动方程和辐射应力更为合理;(3)建立了基于两种网格的两套数学模型,即三角形网格有限差分数学模型和矩形网格有限差分数学模型,基于这两种网格的数学模型能满足近岸波生流场的模拟需要。就一模型海区对该文的模型进行了应用。     

Experimental strength analysis of steel plates with a large circular opening accounting for corrosion degradation and cracks subjected to compressive load along the short edges

This work studies the combined effect of both geometrical characteristics (opening and initial imperfections) and age related damage (corrosion and cracks) on the local and global responses of thin rectangular steel plates. A series of experimental tests has been conducted for in-service steel plates with a circular opening and subjected to several damage actions and uni-axial compression. Different initial imperfection shapes and amplitudes, corrosion degradation levels and locked crack lengths are considered. Several collapse modes were observed and the reasons for their occurrence are discussed. The experimental results of force-displacement and stress––strain relationships are presented and the relevant dissipated energies, resilience and toughness are estimated. The experimental results are compared with published experimental results, confirming the complexity of the plate behaviour accounting for different damage scenarios.     

双层板架的屈曲分析

将大型船舶的双层板架模型化为正交异性极,考虑横向剪切变形和材料非弹性的影响,提出了一种在弹性角约束边界条件下求解双层板架临界应力的方法。利用该方法,对几种特定边界条件下一系列的矩形权进行了屈曲计算,其结果与已有文献的解答相比吻合较好。     

A computational investigation of the effects of both-sides general corrosion on the buckling/plastic collapse behaviour and strength of stiffened plates

This paper presents the results of an investigation into the post-buckling behaviour and ultimate strength of imperfect corroded stiffened steel plates used in ships and other marine-related structures. A series of elastic–plastic large deflection finite element analyses is performed on stiffened steel plates suffering general corrosion wastage with random distribution. General corrosion is introduced into the finite element models using a random thickness surface model. The effects of corroded stiffened plate parameters on the post-buckling and ultimate strengths are evaluated in detail. The stiffeners of different symmetrical or unsymmetrical cross-sections are introduced into the models for analysis. Some distinctions are explored and highlighted between the behaviours of steel plates suffering general corrosion in unstiffened and stiffened cases. Finally, a proposal is given in order to simulate the average stress–average strain relationship of stiffened steel plates having both-surface general corrosion wastage.     

均匀受压含裂纹损伤加筋板的极限承载能力分析

在均匀受压下,针对含损伤裂纹缺陷的加筋板的承载力学特性进行研究,探讨了裂纹参数对其承载能力的影响。通过改变加筋板上裂纹的位置和裂纹尺寸,利用非线性有限元分析软件Abaqus对其进行系列非线性仿真分析,得到含损伤裂纹加筋板的破坏力学特性以及破坏模式。结果表明,损伤裂纹会削弱加筋板架的承载能力,并且当裂纹尺寸超过某临界值时,板架的极限承载力会急剧减小。     

Effect of welding sequence on residual stress and distortion in flat-bar stiffened plates

Numerical simulation based on finite element modelling is used to study the influence of welding sequences on the distribution of residual stress and distortion generated when welding a flat-bar stiffener to a steel plate. The simulation consists of sequentially coupled thermal and structural analyses using an element birth and death technique to model the addition of weld metal to the workpiece. The temperature field during welding and the welding-induced residual stress and distortion fields are predicted and results are compared with experimental measurements and analytical predictions. The effect of four welding sequences on the magnitude of residual stress and distortion in both the plate and the stiffener is investigated and their effects on the ultimate strength of the stiffened plate under uniaxial compression are discussed. Appropriate conclusions and recommendations regarding the welding sequence are presented.     

Experimental and numerical investigation on welding simulation of long stiffened steel plate specimen

The paper presents the results of metal inert gas T-joint fillet welding tests of small scale rectangular stiffened steel plates longer than the standard test specimen. In the literature the focus is typically on plates with a small aspect ratio and the present work deals with plates of higher aspect ratio, which are the typical ones in marine structures, aiming to determine if there is any significant effect of welding along the longitudinal direction. Nonlinear thermo-elasto-plastic finite element models are adopted to evaluate the temperature distribution, welding induced distortions and residual stress in the stiffened plates of shipbuilding steel. Given the difficulty in data acquisition of temperature-dependent properties of the material, a simplified model of the properties is proposed, based on the values at room temperature. Good agreement is observed between the measured and simulated temperatures, indicating that the current finite element approach is appropriate to simulate the welding process. The proposed simplified material model can be efficiently used in the finite element analysis of welded steel structures. It is concluded that the welding parameters have more significant influence on the structural responses than the dimension of the plate.     

Plastic design of laterally patch loaded plates for ships

Laterally loaded rectangular plates are used extensively in various marine structures, and they are often subjected to patch loading during ice action or accidental actions, such as collision and grounding. Therefore, focus is placed on investigating the resistance of laterally patch loaded plates. Plastic yield line theory has been adopted in this paper, since considerable plastic behavior is exhibited. The beneficial influence of the membrane effect during finite deformations is taken into account. The derivation of the “roof-top”-type patch loading mechanism using work energy principles is described in some detail. An alternative collapse model, as named “double-diamond” pattern herein, is proposed which could reduce the resistance and agrees better with the results from nonlinear finite element analysis (NLFEA) in plastic bending phase compared to the conventional “roof-top” model. Moreover, a plate length restriction factor is introduced to enhance the applicability of the present formulation when free formation of the collapse mechanism is restricted by the finite length of the plate. The developed formulae show reasonable agreement with the results from NLFEA of the plate resistance–deformation relationships. The resistance according to the proposed formulation is also compared with the recently developed International Association of Classification Societies (IACS) unified requirements for plating design for polar ships.