Maximum stress of stiff elastic plate in uniform flow and due to jet impact

Korobkin, A.A.; Хабахпашева, Т. И.; Malenica, Šime

doi:10.1063/1.4990974

Cited by 11 publications

(4 citation statements)

References 17 publications

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“…It is assumed that It is convenient to introduce the non-dimensional variables 6) where B(t) = b(0, t) or B(t) = b w (t) and the wetted part of the cylinder is |y| < B(t), −H ≤ z ≤ 0. The potentialφ(x,ŷ,ẑ, t) satisfies the boundary value problem (2.2)-(2.6), where h = H/B(t).…”

Section: Three-dimensional Water Impact Onto a Vertical Circular Cylimentioning

confidence: 99%

“…Such loads are of concern for offshore structures subjected to steep and breaking wave impact [1], tsunami bore forces on coastal structures [2,3], interaction of dry-bed surges and broken waves with buildings [4,5]. Interaction of jets with obstacles is of concern in problems of violent sloshing in liquefied natural gas tanks of NO-96 type [6]. The inner surface of these tanks is manufactured with tongues of length about 3 cm perpendicular to the main flat surface.…”

Section: Introductionmentioning

confidence: 99%

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Three-dimensional water impact at normal incidence to a blunt structure

2016

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The three-dimensional water impact onto a blunt structure with a spreading rectangular contact region is studied. The structure is mounted on a flat rigid plane with the impermeable curved surface of the structure perpendicular to the plane. Before impact, the water region is a rectangular domain of finite thickness bounded from below by the rigid plane and above by the flat free surface. The front free surface of the water region is vertical, representing the front of an advancing steep wave. The water region is initially advancing towards the structure at a constant uniform speed. We are concerned with the slamming loads acting on the surface of the structure during the initial stage of water impact. Air, gravity and surface tension are neglected. The problem is analysed by using some ideas of pressure-impulse theory, but including the time-dependence of the wetted area of the structure. The flow caused by the impact is threedimensional and incompressible. The distribution of the pressure-impulse (the time-integral of pressure) over the surface of the structure is analysed and compared with the distributions provided by strip theories. The total impulse exerted on the structure during the impact stage is evaluated and compared with numerical and experimental predictions. An example calculation is presented of water impact onto a vertical rigid cylinder. Three-dimensional effects on the slamming loads are the main concern in this study.

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Section: Three-dimensional Water Impact Onto a Vertical Circular Cylimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Three-dimensional water impact at normal incidence to a blunt structure

2016

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“…Vibrations of plates with variable thickness were also studied in [42], where orthogonality of the modes with the weight equal to the plate thickness was proved. This orthogonality property of the normal modes is used in the present paper.…”

Section: Introductionmentioning

confidence: 99%

Hydroelastic Waves in a Frozen Channel with Non-Uniform Thickness of Ice

Zavyalova

Shishmarev

Batyaev

et al. 2022

Water

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The periodic flexural-gravity waves propagating along a frozen channel are investigated. The channel has a rectangular cross section. The fluid in the channel is inviscid, incompressible and covered with ice. The ice is modeled by a thin elastic plate whose thickness varies linearly. Two cases have been considered: the ice thickness varies symmetrically across the channel, being the smallest at the center of the channel and the largest at the channel walls; the ice thickness varies from the smallest value at the one wall to the largest value at another wall. The periodic 2D problem is reduced to the problem of the wave profiles across the channel. The solution of the last problem is obtained by the normal mode method of an elastic beam with linear thickness. The behavior of flexural-gravity waves depending on the inclination parameter of the ice thickness has been studied and the results have been compared with those for a constant-thickness plate. Dispersion relations, profiles of flexural-gravity waves across the channel and distributions of strain in the ice cover have been determined. In the asymmetric case, it is shown that for long waves, the most probable plate failure corresponds to transverse strains at the thin edge of the plate, which can lead to detachment of the ice from the corresponding bank. For short waves, the longitudinal stresses within the plate, localized closer to the thick edge, become maximum. This can lead to cracking of the plate in transverse direction. In the symmetric case, the maximum strains are achieved inside the plate — close to the center, but not necessarily in the midpoint.

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“…In the International Maritime Organization (IMO) classification, existing LNG carriers are classified as integrated or membrane-type (Mark-III and NO 96) and independent (Moss and SPB). Of these, Of these, membrane-type NO 96 LNG tanks (Figure 1) are most widely used because they are relatively inexpensive to produce [3]. The most important feature of this NO 96 type of tank is that both primary and secondary barriers use Invar sheets; the total weld length in the LNG carrier is about 250 km, of which 95% is welded automatically and 5% manually, and 90% of these automatic welds are resistance seam-welded (RSWed).…”

Section: Introductionmentioning

confidence: 99%

Evaluation of Cryogenic Mechanical Properties of Resistance Seam-Welded Invar Alloy Sheet by Instrumented Indentation Test

Seung-Hun

Won

Lee

et al. 2020

JMSE

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Invar alloy sheet was welded by resistance seam welding (RSW) with a constant electrode force and three different welding currents. Tensile properties were evaluated using instrumented indentation testing (IIT) with a spherical indenter and microstructure observations were obtained under an optical microscope. IIT performed on the base material at room temperature (RT) and −163 °C, a cryogenic temperature (CT), gave results in good agreement with those of tensile testing. The strength of each zone was higher in the order of heat-affected zone (HAZ) < weld nugget (WN) < base material (BM) because the amount of cold working was least in the BM, heavy metal elements and carbon vaporized during melting, and the WN was formed more tightly than the HAZ, effectively constraining the plastic zone generated by the indentation. As for the welding current, the nugget, which becomes larger and tighter as the current increases, more effectively constrained the plastic zone in the indentation, and this soon increased the strength. Generally, Invar is known to consist of single-phase austenite, and microstructure observations have confirmed that the average grain size is ordered as BM < HAZ < WN. Fan-like columnar grains developed in the direction of the temperature gradient, and equiaxed grains were observed near the BM. It was confirmed that the grain size in the WN also increases as the current is increased. Interestingly, the constraint effect with increasing nugget size was more important for strength than the grain size.

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Maximum stress of stiff elastic plate in uniform flow and due to jet impact

Cited by 11 publications

References 17 publications

Three-dimensional water impact at normal incidence to a blunt structure

Three-dimensional water impact at normal incidence to a blunt structure

Hydroelastic Waves in a Frozen Channel with Non-Uniform Thickness of Ice

Evaluation of Cryogenic Mechanical Properties of Resistance Seam-Welded Invar Alloy Sheet by Instrumented Indentation Test

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