The mathematical challenges and modelling of hydroelasticity

Korobkin, A.A.; Părău, Emilian; Vanden‐Broeck, J.‐M.

doi:10.1098/rsta.2011.0116

Cited by 77 publications

(33 citation statements)

References 43 publications

(53 reference statements)

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“…Due to the mutual interaction between the fluid motion and the structural deformation, the hydrodynamic loads that elastic bodies are subjected during the water entry might differ from the loads acting on rigid bodies [24]. The concept is that the impact pressure is related to the movement of the impact region with respect to the water [25].…”

Section: Hydroelasticity During Slammingmentioning

confidence: 99%

Hydroelastic Impacts of Deformable Wedges

Panciroli

2012

Dynamic Failure of Composite and Sandwich Structures

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This work investigates the slamming phenomenon experienced during the water entry of deformable bodies. Wedges are chosen as reference geometry due to their similarity to a generic hull section. Hull slamming is a phenomenon occurring when a ship re-enters the water after having been partially or completely lifted out the water. There are three more cases commonly defined as slamming in marine applications: bow-flare, wet-deck and green water slamming. These are all special cases of the general topic of water entry of a body. While the analysis of rigid structures entering the water has been extensively studied in the past and there are analytical solutions capable of correctly predicting the hydrodynamic pressure distribution and the overall impact dynamics, the effect of the structural deformation on the structural force is still a challenging problem to be solved. In fact, in case

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Section: Hydroelasticity During Slammingmentioning

confidence: 99%

Hydroelastic Impacts of Deformable Wedges

Panciroli

2012

Dynamic Failure of Composite and Sandwich Structures

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“…The classic hydroelastic problem concerning the interaction between a deformable body and a moving fluid is a widely studied area in mathematics and engineering, because of its vast range of physical applications (Korobkin, Pȃrȃu & Vanden-Broeck 2011). One such application involves the modelling of an ice plate floating on top of water as a thin elastic sheet (Squire et al 1996).…”

Section: Introductionmentioning

confidence: 99%

Hydraulic falls under a floating ice plate due to submerged obstructions

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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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“…Early in 1929, Von Karman [1] firstly introduced a significant contribution on this subject. Following Karman's classic works on hull-water impact, a series of studies on the theoretical analysis of water entry problem have been reported (Wagner [2], Kapsenberg [3], Faltinsen [4][5] Morabito [6], Korobkin [7][8] and Abrate [9] et al). Due to the complexities of this problem (such as multi-physics interaction phenomenon, free surface tracking et al), only a few special cases of wedges entry water vertically at a constant velocity can be solved analytically.…”

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confidence: 99%

Water Entry Hydroelasticity Analysis of Lattice Sandwich Panel With Imperfection: Simulation and Engineering Model

Wang¹,

Cheng²,

Pei³

et al. 2019

brod

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In the present work, the three dimensional (3D) hydroelasticity characteristics of imperfect lattice sandwich panel (ILSP) subjected to water entry via analytical prediction and numerical simulations are proposed. Firstly, numerical investigations are performed on water entry characteristics based on Arbitrary Eulerian-Lagrange (ALE) coupling method for modeling fluid-structure interaction (FSI) at an impact velocity of 5.0m/s. The results show the impact pressure on total FSI surface of ILSP is generally lower than that of the perfect lattice sandwich panel. Then a novel semi-analytical method to calculate the elastic constants of ILSP is introduced. Based on this approach, an engineering computational model is developed to predict the deformation of ILSP, in which the total deformation is separated into two parts; local field deformation and global field deformation. Good agreement between the numerical and analytical results is achieved. And the effects of geometric parameters such as the thickness of face sheet, height of ILSP and relative density of core are discussed.

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The mathematical challenges and modelling of hydroelasticity

Cited by 77 publications

References 43 publications

Hydroelastic Impacts of Deformable Wedges

Hydroelastic Impacts of Deformable Wedges

Hydraulic falls under a floating ice plate due to submerged obstructions

Water Entry Hydroelasticity Analysis of Lattice Sandwich Panel With Imperfection: Simulation and Engineering Model

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