Interaction of hydro-elastic waves with a vertical wall

Brocklehurst, Paul; Korobkin, A.A.; Părău, Emilian

doi:10.1007/s10665-010-9386-8

Cited by 43 publications

(55 citation statements)

References 23 publications

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“…For realistic solutions, the strain of the ice plate needs to be less than the yield strain of ice (see Brocklehurst, Korobkin & Pȃrȃu 2010). Otherwise, at these high strains, it becomes unrealistic to model the ice plate as a thin elastic shell, as the behaviour of the plate becomes plastic and so one would expect the ice to fracture or break.…”

Section: Discussionmentioning

confidence: 99%

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Hydraulic falls under a floating ice plate due to submerged obstructions

Page

Părău

2014

J. Fluid Mech.

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Steady two-dimensional nonlinear flexural-gravity hydraulic falls past a submerged obstruction on the bottom of a channel are considered. The fluid is assumed to be ideal and is covered above by a thin ice plate. Cosserat theory is used to model the sheet of ice as a thin elastic shell, and boundary integral equation techniques are then employed to find critical flow solutions. By utilising a second obstruction, solutions with a train of waves trapped between two obstructions are investigated.

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Section: Discussionmentioning

confidence: 99%

“…Ugural 1981, Brocklehurst et al 2010and Squire 1993 for more details). The strain is thus proportional to the curvature of the surface.…”

Section: Discussionmentioning

confidence: 99%

Hydraulic falls under a floating ice plate due to submerged obstructions

Page

Părău

2014

J. Fluid Mech.

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“…The effect of the vertical walls of the channel on deflections was found to be significant. It was shown in [24] that the stresses and deflections of ice cover, which are caused by a load moving along the cover near vertical wall, strongly depend on the 75 distance of the load trajectory from the wall.…”

Section: Introductionmentioning

confidence: 99%

“…Squire and Martin [39] determined the fracture strain for Bering Sea ice to be 4.4 − 8.5 · 10 −5 . In this study we use the estimate ǫ cr = 8 · 10 −5 (see [24] and discussion of this value there).…”

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confidence: 99%

The response of ice cover to a load moving along a frozen channel

Shishmarev

Хабахпашева

Korobkin

2016

Applied Ocean Research

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Deflections and stresses in an ice cover of a frozen channel caused by a load moving with a constant speed along the channel are studied. The channel is of rectangular cross section. The ice cover is isotropic and clamped to the walls of the channel. The fluid in the channel is inviscid and incompressible. The external load is modeled by a localized smooth pressure distribution moving along the central line of the channel. The ice cover is modeled as a viscoelastic plate. Deflection of the ice and strains in the ice plate are independent of time in the coordinate system moving together with the load. The effect of the channel walls on the ice response is studied. This effect can be significant in experiments with loads moving in ice tanks. The linear hydroelastic problem is solved by using the Fourier transform along the channel and the method of normal modes across the channel. It is found that the presence of the vertical walls of the channel reduces the ice deflection but increases the elastic strains in the ice plate. The effects of the load speed, width and depth of the channel on the hydroelastic response of the ice cover are studied in detail. In contrast to the problem of a load moving on ice sheets of infinite extent, there are infinitely many critical speeds of hydroelastic waves in a frozen channel. Correspondingly, there are many values of the speeds of a moving load at which the stresses in the ice cover are amplified. The obtained deflections and strains in the canned ice cover are compared with the corresponding solutions for the infinite ice plate and with the solutions of simplified problems without account for the dynamic component of the liquid pressure. It is shown that the models of ice response without hydrodynamic component of the pressure provide correct stresses in the ice sheet only for very low speeds of the moving load.

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“…A variety of plate edge conditions are examined, including a free, a fixed and a pinned condition at the vertical wall interface. Brocklehurst et al (2010) present an analytical solution to the problem of a clamped semi-infinite, homogeneous, elastic plate over a constant bathymetry region. Tkacheva (2013) employs an eigenmode expansion for the solution of a fixed plate on a vertical wall under regular wave loading.…”

Section: Introductionmentioning

confidence: 99%

Hydroelastic analysis of ice shelves under long wave excitation

Papathanasiou

Karperaki

Theotokoglou

et al. 2015

Nat. Hazards Earth Syst. Sci.

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Abstract. The transient hydroelastic response of an ice shelf under long wave excitation is analysed by means of the finite element method. The simple model, presented in this work, is used for the simulation of the generated kinematic and stress fields in an ice shelf, when the latter interacts with a tsunami wave. The ice shelf, being of large length compared to its thickness, is modelled as an elastic Euler-Bernoulli beam, constrained at the grounding line. The hydrodynamic field is represented by the linearised shallow water equations. The numerical solution is based on the development of a special hydroelastic finite element for the system of governing of equations. Motivated by the 2011 Sulzberger Ice Shelf (SIS) calving event and its correlation with the Honshu Tsunami, the SIS stable configuration is studied. The extreme values of the bending moment distribution in both space and time are examined. Finally, the location of these extrema is investigated for different values of ice shelf thickness and tsunami wave length.

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Interaction of hydro-elastic waves with a vertical wall

Cited by 43 publications

References 23 publications

Hydraulic falls under a floating ice plate due to submerged obstructions

Hydraulic falls under a floating ice plate due to submerged obstructions

The response of ice cover to a load moving along a frozen channel

Hydroelastic analysis of ice shelves under long wave excitation

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