Hydroforming and buckling of an egg-shaped shell based on a petal-shaped preform

Zhang, Jian; Cheng, Peng; Wang, Fang; Tang, Wenxian; Zhao, Xilu

doi:10.1016/j.oceaneng.2022.111057

Cited by 16 publications

(12 citation statements)

References 25 publications

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“…The assumption has been successfully applied to hydrobulge spheres [15][16][17][18][19][20][21][22], toroids [23][24][25][26][27][28], ellipsoids [29][30][31][32][33][34], and eggs [35][36][37]. The external surfaces of the perfect prolate ellipsoid and assumed ellipsoidal preform are mathematically described in Eq.…”

Section: Geometric Definition and Analytical Formulationmentioning

confidence: 99%

“…Integral hydrobulging is a method of fabricating large shells of revolution that is effective, flexible, and inexpensive compared with traditional die forming [11][12][13][14]. Large shells of revolution, such as spheres [15][16][17][18][19][20][21][22], toroids [23][24][25][26][27][28], ellipsoids [29][30][31][32][33][34], and eggs [35][36][37], can be directly hydrobulged from polyhedral preforms without the use of dies. The performance of these hydrobulged shells has been widely explored using analytical, numerical, and experimental methods.…”

Section: Introductionmentioning

confidence: 99%

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Integrated hydrobulging of prolate ellipsoids from preforms with multiple thicknesses

Zhang¹,

Tang²,

Zhan³

et al. 2022

Preprint

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The integrated hydrobulging of stainless-steel prolate ellipsoids from preforms with two thicknesses was investigated. The produced ellipsoids were closed with two 16-mm-thick closures and had nominal semiminor and semimajor axes of 89 and 125 mm, respectively. The ellipsoidal preforms comprised eight conical segments inscribed inside the target perfect ellipsoid. The four end and middle segments of the preforms had nominal thicknesses of 0.67 and 0.83 mm, respectively. The hydrobulging of these preforms was explored analytically and numerically and was compared with that of prolate ellipsoids with constant thickness. Two nominally identical ellipsoidal preforms were fabricated, measured, and hydrobulged to confirm the theoretical predictions. The results indicated that varying the preform thicknesses is an efficient method of overcoming insufficient hydrobulging of the ends of prolate ellipsoids in other methods. Moreover, hydrobulging instability can be effectively monitored by measuring geometric dimensions, such as axial height.

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Section: Geometric Definition and Analytical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Integrated hydrobulging of prolate ellipsoids from preforms with multiple thicknesses

Zhang¹,

Tang²,

Zhan³

et al. 2022

Preprint

Self Cite

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“…It is these geometrical and mechanical properties that have facilitated its increasing use in engineering solutions, specifically applied to designing thin-walled shells. Results of numerous studies of these structures ( Lazarus et al, 2012 ; Zhang et al, 2017a , b , 2019 , 2021 , 2022 ; Guo et al, 2020 have highlighted these beneficial characteristics, i.e., high loading capacity, efficient space utilization, amazing weight-to-strength ratio, proper span-to-thickness ratio and streamlined forms.…”

Section: Introductionmentioning

confidence: 99%

“…Despite fairly extensive research in this field for ∼70 years (e.g., Preston, 1953 ; Carter, 1968 ; Todd and Smart, 1984 ; Smart, 1991 ; Baker, 2002 ; Troscianko, 2014 ; Biggins et al, 2018 ; Pike, 2019 ), the Narushin’s ( Narushin, 2001b ) and Hügelschäffer’s ( Petrović and Obradović, 2010 ; Petrović et al, 2011 ; Obradović et al, 2013 ) models have recently gained the most attention. While the former is thought to be more applicable in thin-walled shell structures ( Zhang et al, 2017a ; b , 2019 , 2021 , 2022 ), the latter has been more adapted to architectural and construction design ( Petrović et al, 2011 ; Maulana et al, 2015 ).…”

Section: Introductionmentioning

confidence: 99%

Egg-inspired engineering in the design of thin-walled shelled vessels: a theoretical approach for shell strength

Narushin¹,

Romanov

Griffin

2022

Front. Bioeng. Biotechnol.

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A novel subdiscipline of bionics is emerging in the form of ‘egg-inspired engineering’ through the use of egg-shaped ovoids as thin-walled tanks and building structures. Hügelschäffer’s and Narushin’s models of egg geometry are highly applicable within this proposed subdiscipline. Here we conducted a comparative analysis between the two models with respect to some of the most important egg parameters. These included contents volume, shell volume, and the location of the neutral axis along the shell thickness. As a first step, theoretical studies using the Narushin’s model were carried out due to the lack (or limited amount) of data on the geometric relationships of parameters and available calculation formulae. Considering experimental data accumulated in the engineering and construction industries, we postulate a hypothesis that there is a correlation between location of the neutral axis and the strength of the walls in the egg-shaped structure. We suggest that the use of Narushin’s model is preferable to Hügelschäffer’s model for designing thin-walled shelled vessels and egg-shaped building structures. This is due to its relative simplicity (because of the requirement for only two initial parameters in the basic equation), optimal geometry in terms of material costs per unit of internal capacity, and effective prerequisites for shell strength characteristics.

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“…Zhang et al [18][19][20][21] studied the buckling strength of the pressure spherical shell formed by the butt-welded method but did not consider the influence welding residual stress and hydrogen diffusion would have on their results. Zhang [22] and Zhang et al [23][24][25] studied the hydrogen permeation behavior of welded joints of X80 pipeline steel with a wall thickness of 18.4 mm using a high-pressure gaseous hydrogen permeation test device.…”

Section: Introductionmentioning

confidence: 99%

Effect of Residual Stress on Hydrogen Diffusion in Thick Butt-Welded High-Strength Steel Plates

Jiang¹,

Zeng

2022

Metals

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Thick high-strength steel plates are increasingly being used for ship structures. Moreover, hydrogen enters the process of manufacturing and service, and large residual tensile stress occurs near the weld. Such stress can facilitate the diffusion and accumulation of hydrogen in the material, leading to hydrogen embrittlement fracture of the shell. Therefore, residual-stress-induced diffusion and accumulation of hydrogen in the stress concentration region of thick butt-welded high-strength steel plate structures need to be studied. In this study, manual metal arc welding was realized by numerical simulation of residual stress in a thick butt-welded high-strength steel plate model using the thermoelastic–plastic theory and a double ellipsoidal heat source model. To analyze residual stress, a set of numerical simulation methods was obtained through comparative analysis of the test results of relevant literature. Residual and hydrostatic stress distributions were determined based on these methods. Then, hydrogen diffusion parameters in each region of the model were obtained through experimental tests. Finally, the results of the residual stress field were used as the predefined field of hydrogen diffusion to conduct a numerical simulation analysis. The distribution of hydrogen diffusion under the influence of residual stress was obtained based on the theory of stress-induced hydrogen diffusion. The weak area of the welding joint was found to be near the weld toe, which exhibited high hydrostatic stress and hydrogen concentration. Further, the maximum hydrogen concentration value of the vertical weld path was approximately 6.1 ppm, and the maximum value of the path parallel to the weld centerline and 31 mm away from the weld centerline was approximately 6.22 ppm. Finally, the hydrostatic tensile stress in the vertical weld path was maximized (~345 MPa), degrading the material properties and causing hydrogen-related cracking. Hence, a reliable method for the analysis of hydrogen diffusion according to residual stress in thick high-strength steel plates was obtained. This work could provide a research basis for controlling and eliminating the adverse effects of hydrogen on the mechanical properties of ship structures and ensuring the safe service of marine equipment.

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Hydroforming and buckling of an egg-shaped shell based on a petal-shaped preform

Cited by 16 publications

References 25 publications

Integrated hydrobulging of prolate ellipsoids from preforms with multiple thicknesses

Integrated hydrobulging of prolate ellipsoids from preforms with multiple thicknesses

Egg-inspired engineering in the design of thin-walled shelled vessels: a theoretical approach for shell strength

Effect of Residual Stress on Hydrogen Diffusion in Thick Butt-Welded High-Strength Steel Plates

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