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A coupled hygro-elastic 3D model for steady-state analysis of functionally graded plates and shells 一种用于功能梯度板壳稳态分析的水弹耦合三维模型
Q4 MECHANICS Pub Date : 2023-01-01 DOI: 10.1515/cls-2022-0216
Salvatore Brischetto, Domenico Cesare
Abstract This 3D coupled hygro-elastic model proposes the three-dimensional (3D) equilibrium equations associated with the 3D Fick diffusion equation for spherical shells. The primary unknowns of the problem are the displacements and the moisture content. This coupled 3D exact shell model allows to understand the effects of the moisture field in relation with the elastic field on stresses and deformations in different plates and shells. This model is specifically developed for configurations including functionally graded material (FGM) layers. Four different geometries are analyzed using an orthogonal mixed curvilinear reference system. The main advantage of this reference system for spherical shells is the degeneration of the equations to those for simpler geometries. The solving method is the exponential matrix method in the thickness direction. The closed-form solution is possible because of simply supported sides and harmonic forms for displacements and moisture content. The moisture content amplitudes are directly applied at the top and bottom outer faces through steady-state hypotheses. The final system is based on a set of coupled homogeneous second-order differential equations. The moisture field effects are evaluated for the static analysis in terms of displacement, strain, and stress components. After preliminary validations, used to better understand how to properly define the calculation of the curvature-related terms and FGM properties, four new benchmarks are proposed for several thickness ratios, geometrical data, FGM configurations, and moisture values imposed at the external surfaces. From the results, it is clear the accordance between the uncoupled hygro-elastic model and this new coupled hygro-elastic model when the 3D Fick diffusion law is employed. Both effects connected with the thickness layer and the embedded material are included in the 3D hygro-elastic analyses proposed. The 3D coupled hygro-elastic model is simpler than the uncoupled one because the 3D Fick diffusion law does not have to be separately solved.
该三维水弹耦合模型提出了球壳三维平衡方程和三维菲克扩散方程。该问题的主要未知因素是位移和水分含量。这种耦合的三维精确壳模型可以理解水分场与弹性场对不同板壳应力和变形的影响。该模型是专门为包括功能梯度材料(FGM)层在内的配置开发的。用正交混合曲线参照系分析了四种不同的几何形状。对于球壳,这个参考系的主要优点是它的方程可以简化为简单几何的方程。在厚度方向上采用指数矩阵法求解。封闭形式的解决方案是可能的,因为简单的支持边和谐波形式的位移和水分含量。通过稳态假设,水分含量幅值直接应用于顶部和底部外表面。最后的系统是基于一组耦合齐次二阶微分方程。根据位移、应变和应力分量来评估静力分析中的湿场效应。经过初步验证后,为了更好地理解如何正确定义曲率相关术语和FGM性能的计算,我们针对几种厚度比、几何数据、FGM配置和外表面施加的水分值提出了四个新的基准。结果表明,当采用三维Fick扩散规律时,未耦合的水弹模型与新耦合的水弹模型是一致的。所提出的三维水弹性分析包括与厚度层和嵌入材料有关的两种效应。三维耦合的水弹模型不需要单独求解三维菲克扩散规律,因而比不耦合的水弹模型简单。
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引用次数: 0
Multiphysics analysis for fluid–structure interaction of blood biological flow inside three-dimensional artery 三维动脉内血液生物流动流固相互作用的多物理场分析
IF 1.5 Q4 MECHANICS Pub Date : 2023-01-01 DOI: 10.1515/cls-2022-0187
Natiq Abbas Fadhil, K. A. Hammoodi, L. Jassim, Hasan A. Al-Asadi, L. Habeeb
Abstract With the development of simulation programs, it is necessary to simulate the problems that occur in the human body that are related to mechanical engineering. Whereas blood is a liquid with mechanical properties, the artery is a substance that also contains mechanical properties. Smoking increases blood viscosity, and this viscosity affects the velocity and blood pressure as well as the artery itself. In this research article, the effect of blood viscosity on the aorta will be studied because it is one of the main arteries of the heart and obtains blood flow in the artery. The blood’s kinetic equations were solved using the COMSOL program’s laminar processor, and fluid–structure interaction was utilized to connect the mechanics of motion with the stresses that affect the artery. In addition, the effect of viscosity on the deformation of the artery and its movement was studied, and the result showed that most of the blood does not reach the branches of the artery, where the speed of blood flow was 0.18 m/s at the value of the viscosity of 0.1 Pa s. The increase in viscoelasticity leads to an increase in pressure at the beginning of the carotid artery, which hinders the flow of blood. The velocity of blood flow decreases with the increase in viscosity, and this reduces pressure on the artery walls, as the stress on 0.1 Pa s was equal to 16,705 Pa s (m.124). An artery’s deformation is directly related to the stresses on it, and when the deformation goes down, the artery’s size goes down.
摘要随着仿真程序的发展,有必要模拟人体中发生的与机械工程有关的问题。血液是一种具有机械特性的液体,而动脉是一种也含有机械特性的物质。吸烟会增加血液粘度,这种粘度会影响速度、血压以及动脉本身。在这篇研究文章中,将研究血液粘度对主动脉的影响,因为主动脉是心脏的主要动脉之一,并在动脉中获得血流。使用COMSOL程序的层流处理器求解血液的动力学方程,并利用流体-结构相互作用将运动力学与影响动脉的应力联系起来。此外,还研究了粘度对动脉变形及其运动的影响,结果表明,大多数血液没有到达动脉分支,其中血流速度为0.18 m/s,粘度值为0.1 帕 s.粘弹性的增加导致颈动脉起始处的压力增加,从而阻碍血液流动。血液流动的速度随着粘度的增加而降低,这降低了动脉壁上的压力,因为0.1 帕 s等于16705 帕 s(m.124)。动脉的变形与其上的应力直接相关,当变形下降时,动脉的大小也会下降。
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引用次数: 0
Thin-walled cylindrical shells in engineering designs and critical infrastructures: A systematic review based on the loading response 工程设计和关键基础设施中的薄壁圆柱壳:基于荷载响应的系统综述
IF 1.5 Q4 MECHANICS Pub Date : 2023-01-01 DOI: 10.1515/cls-2022-0202
Ben Ganendra, A. Prabowo, T. Muttaqie, R. Adiputra, Ridwan Ridwan, Aprianur Fajri, Quang Thang Do, H. Carvalho, S. Baek
Abstract Cylindrical shell structures are ubiquitous and essential supporting structures in various engineering applications. The aim of this research work is to provide a comprehensive overview of the behavior of cylindrical shell structures under different loading conditions, including external pressure, axial compression, and bending moment. The study found that the behavior of cylindrical shells was affected by their geometry, including diameter, length, thickness, and imperfections. These factors should be carefully considered in the design and analysis of cylindrical shells. Additionally, stiffeners and sandwich structures can be applied to improve the structural performance of cylindrical shells under different loading conditions. The work also highlighted the latest research trends in the field, such as the use of advanced materials, and numerical simulations to improve the understanding and design of cylindrical shell structures. Overall, this study has provided a valuable resource for engineers and researchers working on cylindrical shell structures, helping them to design and analyze the cylindrical shell structures more efficiently and effectively.
摘要圆柱壳结构是各种工程应用中普遍存在的重要支撑结构。本研究工作的目的是全面概述圆柱壳结构在不同载荷条件下的行为,包括外压、轴向压缩和弯矩。研究发现,圆柱壳的行为受到其几何形状的影响,包括直径、长度、厚度和缺陷。在圆柱壳的设计和分析中,应仔细考虑这些因素。此外,加强筋和夹层结构可以用于改善圆柱壳在不同载荷条件下的结构性能。这项工作还强调了该领域的最新研究趋势,例如使用先进材料和数值模拟来提高对圆柱壳结构的理解和设计。总的来说,这项研究为研究圆柱壳结构的工程师和研究人员提供了宝贵的资源,帮助他们更有效地设计和分析圆柱壳结构。
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引用次数: 1
Dynamic response of high-speed craft bottom panels subjected to slamming loadings 高速船底板在砰击载荷作用下的动力响应
IF 1.5 Q4 MECHANICS Pub Date : 2023-01-01 DOI: 10.1515/cls-2022-0190
Muryadin, T. Muttaqie, C. Sasmito, F. Noor, Andi C. P. T. Nugroho, Dany Hendrik Priatno, Buddin Al Hakim, Abid Paripurna Fuadi, Muh Hisyam Khoirudin, Teguh Wibowo, Arfis Maydino F. Putra
Abstract The inelastic deformation of a 30 m high-speed craft (HSC) subjected to slamming pressure is the main topic of this research. In this work, the commercial software package ABAQUS FEA is used to predict the structural behavior, especially in the hull area under the chine. Dynamic explicit solver simulations are done to predict plastic deformation. Before the principal analysis of the actual size of the ship hull structure model, the numerical studies were validated against relevant experimental data from the previous open literature. A reassessment of the design guidelines was also done to forecast the slamming load on the HSC structure. Then, with the slamming load pressure increased to the design limit, a parametric analysis was also conducted with two different idealizations of the pressure type: rectangular and triangular. Finally, this study identifies the variables that must be considered when calculating the degree of structural deformation brought on by slamming loads.
摘要30的非弹性变形 m高速船(HSC)承受砰击压力是本研究的主要课题。在这项工作中,商业软件包ABAQUS有限元分析用于预测结构行为,特别是在机器下的船体区域。动态显式求解器模拟用于预测塑性变形。在对船体结构模型的实际尺寸进行主要分析之前,根据先前公开文献中的相关实验数据对数值研究进行了验证。还对设计指南进行了重新评估,以预测HSC结构上的砰击载荷。然后,随着砰击载荷压力增加到设计极限,还对压力类型的两种不同理想化进行了参数分析:矩形和三角形。最后,本研究确定了在计算砰击载荷引起的结构变形程度时必须考虑的变量。
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引用次数: 0
Performance analysis on the structure of the bracket mounting for hybrid converter kit: Finite-element approach 混合动力变流器支架安装结构的性能分析:有限元方法
IF 1.5 Q4 MECHANICS Pub Date : 2023-01-01 DOI: 10.1515/cls-2022-0206
Ma’ruf Yanuar Effendi, U. Ubaidillah, E. P. Budiana, B. W. Lenggana
Abstract An electric motor mounting bracket is used in electric vehicles, especially hybrid ones using a parallel hybrid configuration. This study aims to analyze the strength and performance of the initial design and topology optimized design. This study uses the finite-element method (FEM) in the bracket design modeling by applying topology optimization. The topology optimization results show a mass reduction of 50% from the initial design mass. In the case of static loading, the results of optimized design 2 have a stress of 142.19 MPa and a safety factor of 3.09. While optimized design 1 has a stress of 313.8 MPa and a safety factor of 1.4. In terms of dynamic loading, the initial design, optimized design 1, and optimized design 2 have the first natural frequency, which is higher than the operating frequency of the electric motor, respectively, 100.49, 69.043, and 74.864 Hz. Optimized design 1 has the lowest natural frequency and the highest amplitude compared to the initial design, and optimized design 2 has lower damping characteristics. The study results conclude that optimized design 2 is superior in static and dynamic loading.
摘要电动汽车尤其是混合动力汽车采用并联混合动力结构,电动机安装支架是一种常用的电动汽车安装支架。本研究旨在分析初始设计和拓扑优化设计的强度和性能。本文采用拓扑优化的方法,将有限元方法应用于支架设计建模。拓扑优化结果表明,质量比初始设计质量降低了50%。在静载情况下,优化设计2的结果应力为142.19 MPa,安全系数为3.09。优化设计1的应力为313.8 MPa,安全系数为1.4。在动载荷方面,初始设计、优化设计1和优化设计2的第一固有频率分别为100.49、69.043和74.864 Hz,高于电动机的工作频率。与初始设计相比,优化设计1具有最低的固有频率和最高的幅值,优化设计2具有较低的阻尼特性。研究结果表明,优化设计2在静、动荷载作用下均优于优化设计2。
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引用次数: 0
Numerical study of the FRP-concrete bond behavior under thermal variations 温度变化下FRP混凝土粘结性能的数值研究
IF 1.5 Q4 MECHANICS Pub Date : 2023-01-01 DOI: 10.1515/cls-2022-0193
R. Dimitri, M. Rinaldi, Francesco Tornabene, F. Micelli
Abstract In a context where daily and seasonal temperature changes or potential fire exposure can affect the mechanical response of structures strengthened with fiber-reinforced polymer (FRP) composites during their life cycle, the present work studies the bond behavior of FRP laminates glued to concrete substrates under a thermal variation. The problem is tackled computationally by means of a contact algorithm capable of handling both the normal and tangential cohesive responses, accounting for the effect of thermal variations on the interfacial strength and softening parameters, which defines the failure surface and post cracking response of the selected specimen. A parametric investigation is performed systematically to check for the effect of thermo-mechanical adhesive and geometrical properties on the debonding load of the FRP-to-concrete structural system. The computational results are successfully validated against some theoretical predictions from literature, which could serve as potential benchmarks for developing further thermo-mechanical adhesive models, even in a coupled sense, for other reinforcement-to-substrate systems, useful for design purposes in many engineering applications.
摘要在日常和季节性的温度变化或潜在的火灾暴露会影响纤维增强聚合物(FRP)复合材料加固结构在其生命周期内的力学响应的情况下,本工作研究了粘合在混凝土基底上的FRP层压板在热变化下的粘结行为。该问题通过接触算法进行计算解决,该算法能够处理法向和切向内聚响应,考虑到热变化对界面强度和软化参数的影响,该参数定义了所选试样的破坏面和开裂后响应。系统地进行了参数研究,以检查热机械粘合剂和几何特性对FRP到混凝土结构系统的脱胶载荷的影响。计算结果与文献中的一些理论预测相比较得到了成功验证,这些理论预测可以作为开发进一步的热机械粘合剂模型的潜在基准,即使在耦合意义上,也可以用于其他增强到基底系统,在许多工程应用中可用于设计目的。
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引用次数: 1
Comparative study of shell element formulations as NLFE parameters to forecast structural crashworthiness 壳单元公式作为NLFE参数预测结构耐撞性的对比研究
Q4 MECHANICS Pub Date : 2023-01-01 DOI: 10.1515/cls-2022-0217
Aditya Rio Prabowo, Ridwan Ridwan, Moritz Braun, Shi Song, Sören Ehlers, Nurman Firdaus, Ristiyanto Adiputra
Abstract This work made a comparison of the effects of selected element formulations (EFs) through nonlinear finite element analysis (NLFEA) and physical configurations in scenario design, particularly target locations. The combined results help in quantifying structural performance, focusing on crashworthiness criteria. The analysis involves nonlinear dynamic finite element methods, using an explicit approach applied to an idealized system. This system models ship-to-ship collisions, specifically the interaction between Ro and Ro and cargo reefer vessels, with one striking the other. Summarizing initial NLFEA results reveals that the chosen EF significantly influences the crashworthiness criteria. Notably, differences in formulations lead to different calculation times. The Belytschko–Tsay (BT) EF is the quickest, followed by the Belytschko–Leviathan (BL), with around a 36% difference. Conversely, formulations such as the Hughes–Liu involve much longer processing times, more than twice that of BT. To address the potential impact of shear locking and hourglassing on calculation accuracy during impact, the fully integrated (FI) version of the EF is used. It mitigates these undesired events. For formulations with the same approach, the FI BT formulation suppresses hourglassing effectively, unlike others that show orthogonal hourglassing increments. To ensure reliability, rules were set to assess hourglassing. The criterion is that the ratio of hourglass energy to internal energy should be ≤10%. All formulations meet this criterion and are suitable as geometric models in NLFEA. Regarding reliability and processing time, analyzing the computation time offers insights. Based on calculations, BL is the fastest, followed by Belytschko–Wong–Chiang, while the FI BT formulation takes more time for the same collision case.
摘要本文通过非线性有限元分析(NLFEA)比较了选定的元素配方(EFs)和物理配置在场景设计中的效果,特别是目标位置。综合结果有助于量化结构性能,重点是耐撞标准。分析涉及非线性动态有限元方法,采用一种适用于理想系统的显式方法。该系统模拟了船与船的碰撞,特别是Ro和Ro与货物冷藏船之间的相互作用,其中一艘船撞击另一艘船。总结最初的NLFEA结果表明,所选择的EF对耐撞性标准有显著影响。值得注意的是,不同的公式导致不同的计算时间。Belytschko-Tsay (BT) EF是最快的,其次是Belytschko-Leviathan (BL),两者相差约36%。相反,Hughes-Liu等公式的处理时间要长得多,是BT的两倍多。为了解决碰撞过程中剪切锁定和沙漏现象对计算精度的潜在影响,我们使用了完全集成的EF (FI)版本。它减轻了这些不希望发生的事件。对于具有相同方法的配方,FI BT配方有效地抑制沙漏,而不像其他配方显示正交沙漏增量。为了确保可靠性,制定了评估沙漏现象的规则。标准是沙漏能与内能之比应≤10%。所有的公式都符合这一准则,适合作为非线性有限元分析的几何模型。关于可靠性和处理时间,分析计算时间提供了见解。根据计算,BL是最快的,其次是Belytschko-Wong-Chiang,而FI BT公式对于相同的碰撞情况需要更多的时间。
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引用次数: 0
Reliability-based assessment of ship hull girder ultimate strength 基于可靠性的船体梁极限强度评估
IF 1.5 Q4 MECHANICS Pub Date : 2023-01-01 DOI: 10.1515/cls-2022-0189
R. Adiputra, T. Yoshikawa, Erwandi Erwandi
Abstract A reliability-based approach is presented to investigate the effects of structural and load uncertainties on the reliability estimation of ship hull girders. Structural uncertainties included randomness in material properties, geometric properties, initial geometric imperfections, and corrosion behavior. Load uncertainties included statistical uncertainties, model uncertainties, environmental uncertainties, and uncertainties related to nonlinearity. The hull girder ultimate strength was calculated using Smith’s method, and the probabilistic density function was evaluated by employing Monte Carlo simulations. In the load estimation, the still water bending moment and wave-induced bending moment were calculated using a simplified formula of the International Association of Classification Societies-Common Structural Rules code and then modified with load parameters. The reliability index was estimated using a first-order reliability method considering the operating time, the duration of the ship in the alternate hold loading condition, and the severity of the corrosion rate. As a result, sagging conditions dominated the collapse mode. The reliability indexes were obtained for the observed cases, and the viability of the ship was assessed accordingly.
摘要提出了一种基于可靠性的方法,研究结构和荷载不确定性对船体大梁可靠性估计的影响。结构不确定性包括材料特性、几何特性、初始几何缺陷和腐蚀行为的随机性。负荷不确定性包括统计不确定性、模型不确定性、环境不确定性和非线性不确定性。采用Smith法计算船体梁的极限强度,采用蒙特卡罗模拟计算概率密度函数。在荷载估计中,采用国际船级社协会通用结构规则的简化公式计算静水弯矩和波浪引起的弯矩,并根据荷载参数进行修正。采用一阶可靠性方法,综合考虑船舶的运行时间、船舶在交替货舱装载状态下的持续时间和腐蚀速率的严重程度,对船舶的可靠性指标进行了估计。结果表明,沉降条件主导坍塌模式。对观测情况进行了可靠性指标分析,并对船舶的生存能力进行了评价。
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引用次数: 8
Investigation of differential shrinkage stresses in a revolution shell structure due to the evolving parameters of concrete 混凝土参数变化引起的旋转壳体结构中不同收缩应力的研究
IF 1.5 Q4 MECHANICS Pub Date : 2023-01-01 DOI: 10.1515/cls-2022-0179
Bodol Momha Merlin, Djopkop Kouanang Landry, Amba Jean Chills, Nkongho Anyi Joseph, Zoa Ambassa, Nzengwa Robert
Abstract The article focuses on the influence of differential shrinkage linked by drying at the early-age displacements and strain distribution of a concrete ring specimen. Depending on the gradient of dimension changes through the thickness, tensile stress occurs near the exposed surface where drying is greater and thus results in strain gradients development. An experimental design was carried out on a concrete ring cast in laboratory conditions in order to monitor strains and displacements. Subsequently, a finite element method was used to simulate the ring’s behaviour in drying conditions. The gradient development linked by a non-uniform moisture distribution in the thickness is established by solving the non-linear partial differential drying equation with Mensi’s diffusion law. The stress and displacement analysis was modeled by three nodes curved shell FEM (CSFE-sh) based on strain approximation with the shell theory. Finally, the ring’s behaviour includes both differential shrinkage resulting in the mechanical and physical properties of gradients development in the thickness and the influence of prestressing, in which the tensile creep effects have a great influence. The comparison of experimental results with numerical simulation shows that drying and tensile creep phenomena have the most important influence on the early-age stress development in the walled ring.
摘要本文着重研究了干燥引起的差异收缩对混凝土环试件早期位移和应变分布的影响。根据尺寸随厚度变化的梯度,拉伸应力发生在干燥较大的暴露表面附近,从而导致应变梯度的发展。为了监测应变和位移,在实验室条件下对混凝土环进行了实验设计。随后,使用有限元方法模拟了环在干燥条件下的行为。通过用门西扩散定律求解非线性偏微分干燥方程,建立了由厚度中不均匀水分分布引起的梯度发展。基于应变近似和壳体理论,采用三节点曲壳有限元(CSFE-sh)建立了应力和位移分析模型。最后,环的性能包括导致厚度梯度发展的机械和物理性能的差异收缩,以及预应力的影响,其中拉伸蠕变效应具有很大影响。实验结果与数值模拟结果的比较表明,干燥和拉伸蠕变现象对壁环早期应力发展的影响最大。
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引用次数: 1
Effect of pitting corrosion position to the strength of ship bottom plate in grounding incident 接地事故中点蚀位置对船舶底板强度的影响
IF 1.5 Q4 MECHANICS Pub Date : 2023-01-01 DOI: 10.1515/cls-2022-0199
O. Mursid, T. Tuswan, Samuel Samuel, A. Trimulyono, H. Yudo, N. Huda, H. Nubli, A. Prabowo
Abstract Pitting corrosion is the most common, dangerous, and destructive corrosion type in marine and offshore structures. This type of corrosion can reduce the strength of the ship plate, so investigating it using several numerical grounding scenarios is needed to determine the significant degradation of the strength of the structural plate. In this study, a finite element study was used to evaluate the influence of pitting corrosion location on the strength of the bottom plate ship in grounding simulation. This study simulated 14 scenarios using different pitting positions on the bottom plate. Finite element using explicit dynamic simulation in LS Dyna software was employed to evaluate the strength of the bottom plate on the ship. The output parameters, such as reaction force and plate deformation, were assessed to compare the grounding simulation results. The simulation indicates that the location of pitting corrosion will affect stress concentration, crack initiation, reaction force, and penetrating position when the crack nucleates. The result shows the critical position of the pit, which is located near the stress concentration ring (nearly 100 mm from the center of the plates) in the plain plates.
点蚀是海洋及近海结构物中最常见、最危险、最具破坏性的腐蚀类型。这种类型的腐蚀会降低船板的强度,因此需要使用几种数值接地方案来研究它,以确定结构板强度的显着退化。本文采用有限元方法研究了点蚀位置对船舶接地模拟中底板强度的影响。本研究在底板上采用不同的点蚀位置,模拟了14种情况。采用LS Dyna软件中显式动态仿真的有限元方法对船体底板的强度进行了评估。对输出参数,如反作用力和板变形进行了评估,以比较接地模拟结果。模拟结果表明,点蚀位置会影响裂纹成核时的应力集中、裂纹起裂、反作用力和穿透位置。结果表明,凹坑的临界位置位于平面应力集中环附近(距板中心约100mm)。
{"title":"Effect of pitting corrosion position to the strength of ship bottom plate in grounding incident","authors":"O. Mursid, T. Tuswan, Samuel Samuel, A. Trimulyono, H. Yudo, N. Huda, H. Nubli, A. Prabowo","doi":"10.1515/cls-2022-0199","DOIUrl":"https://doi.org/10.1515/cls-2022-0199","url":null,"abstract":"Abstract Pitting corrosion is the most common, dangerous, and destructive corrosion type in marine and offshore structures. This type of corrosion can reduce the strength of the ship plate, so investigating it using several numerical grounding scenarios is needed to determine the significant degradation of the strength of the structural plate. In this study, a finite element study was used to evaluate the influence of pitting corrosion location on the strength of the bottom plate ship in grounding simulation. This study simulated 14 scenarios using different pitting positions on the bottom plate. Finite element using explicit dynamic simulation in LS Dyna software was employed to evaluate the strength of the bottom plate on the ship. The output parameters, such as reaction force and plate deformation, were assessed to compare the grounding simulation results. The simulation indicates that the location of pitting corrosion will affect stress concentration, crack initiation, reaction force, and penetrating position when the crack nucleates. The result shows the critical position of the pit, which is located near the stress concentration ring (nearly 100 mm from the center of the plates) in the plain plates.","PeriodicalId":44435,"journal":{"name":"Curved and Layered Structures","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47881569","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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