Shock Spectral Analysis of Elastic Systems Impacting on the Water Surface

Carcaterra, Antonio; Ciappi, E.; Iafrati, Alessandro; Campana, Emilio F.

doi:10.1006/jsvi.1999.2517

Cited by 41 publications

(34 citation statements)

References 14 publications

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“…Wang & Faltinsen [23,4] investigated the evolution of the cavity during a freefall wedge vertically entering the water surface. They developed numerical methods and found: the cavity closure period is independent of the initial entry speed of the wedge; the submergence depth of wedge at pinch-off increases approximately linearly with respect to the initial entry speed; the cavity size is highly dependent on the mass and a larger mass leads to a larger cavity.…”

Section: Cavity Dynamicsmentioning

confidence: 99%

“…Zhao and Faltinsen concluded: when ≥45º, the maximum pressure is at the apex of the wedge; when is less than 30ºapproximately, high impulse pressures are concentrated on a small area near the root of the jet. Carcaterra et al [4,5] developed analytical models for the hydrodynamic force and wedge motion during the slamming stage, which assumes a constant entry speed and neglects gravity force. During the water entry of freefall wedges, both gravity force and wedge acceleration influence the wedge motion and/or the hydrodynamic force.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of loads, motions and cavity dynamics during freefall wedges vertically entering the water surface

Wang

Lugni

Faltinsen

2015

Applied Ocean Research

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Section: Cavity Dynamicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis of loads, motions and cavity dynamics during freefall wedges vertically entering the water surface

Wang

Lugni

Faltinsen

2015

Applied Ocean Research

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“…Finally, higher order gradient theories are needed when "boundary layer" phenomena must be described: when considering impact phenomena (see e.g. [19], [72], [4] and [6]) in general some "ad hoc" assumptions are imposed, especially when choosing boundary conditions. More detailed models for impact between solids or between solids and fluids, involving some space-time length scales, may cure some of the "singularities" which are present in many models presented in the literature: in particular one could conceive to describe the phenomena of water spray formation or turbulence (see respectively [72] with references there cited or [56]) by means of suitable "contact edge" forces.…”

Section: Introductionmentioning

confidence: 99%

How contact interactions may depend on the shape of Cauchy cuts in Nth gradient continua: approach “à la D’Alembert”

Dell’Isola

Seppecher

Madeo

2012

Z. Angew. Math. Phys.

243

209

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Navier-Cauchy format for Continuum Mechanics is based on the concept of contact interaction between subbodies of a given continuous body. In this paper it is shown how -by means of the Principle of Virtual Powers-it is possible to generalize Cauchy representation formulas for contact interactions to the case of N-th gradient continua, i.e. continua in which the deformation energy depends on the deformation Green-Saint-Venant tensor and all its N-1 order gradients. In particular, in this paper the explicit representation formulas to be used in N-th gradient continua to determine contact interactions as functions of the shape of Cauchy Cuts are derived. It is therefore shown that i) these interactions must include edge (i.e. concentrated on curves) and wedge (i.e. concentrated on points) interactions, and ii) these interactions cannot reduce simply to forces: indeed the concept of K-forces (generalizing similar concepts introduced by Rivlin, Mindlin, Green and Germain) is fundamental and unavoidable in the theory of N-th gradient continua.

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“…This paper is aimed at exploring the use of second gradient theories, linear and nonlinear, to produce a continuous model accounting for microscale granular ploiatomic interactions and nonclassical effects. Also some of the results presented in [12][13][14] are revisited.…”

mentioning

confidence: 99%

Second Gradient and Generalized Continua. A workshop held on 12–16 March 2012 in Cisterna di Latina

Dell’Isola

Forest

2014

Z Angew Math Mech

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This editorial intends to complement the scientific content of the papers which follow in this special issue. The workshop "Second Gradient and Generalized Continua" held on 12-16 March 2012 at Palazzo Caetani in Cisterna di Latina, Italy was organized by Francesco dell'Isola and Samuel Forest. Very interesting, exciting and creative discussions started nearly immediately during the seminars and the round tables: the spirit of all participants was very productive and open minded and nobody felt necessary to hide his views, also when they were in contrast with those of other participants, so that a truly frank and direct scientific discussion was possible. The video-recorded seminars are available at the website http://memocs.univaq.it/?page id=2858, http://memocs.univaq.it/?page id=3071.In the following paragraphs we will reproduce, following the seminar order, only the abstracts of those presentations which did not produce a paper published in the present issue of ZAMM.Francesco dell'Isola: "Contact interactions in N-th gradient continua". Cauchy format for continuum mechanics is not general enough to include the description of some important phenomena occurring in a large class of "microscopically" inhomogeneous bodies. This circumstance has been recognized already by E. and F. Cosserat and later by Mindlin, Rivlin, Toupin, and Green. Particularly detailed is the development of second gradient model due to Paul Germain, which is the simplest continuum model which cannot be included in the Cauchy format. Actually Cauchy Continuum model has a wide but limited scope of predictivity: therefore the logical possibility of generalizing it truly corresponds to the need of describing some new and interesting phenomena, which include, but are not limited to, the formation of many different kinds of boundary layers. The class of generalized (N -th gradient) continua which is presented here is constituted by those models in which deformation energy may depend on N + 1 gradients of displacement field. The precise definition of N -th gradient continua and the nature of contact interactions which may arise in them can be mathematically formulated and characterized only by using suitable concepts from the theory of distribution and differential geometry, but it is definitively not so difficult to generalize -in the considered context -the Cauchy concept of stress state. The mathematical abstraction required does not seem inappropriate as it actually supplies a useful description of some phenomena of relevance in the mechanics of growing tissues and opens interesting perspectives in the design of artificial materials showing "exotic" mechanical behavior. More details about the presented ideas can be found in [17,18].Pierre Seppecher: "Linear elastic trusses leading to continua with exotic mechanical interactions". When studying the statics of a truss made of a discrete network of nodes joined by linear elastic springs, the kernel of the quadratic potential energy (space of floppy modes) plays an essential role. In particular w...

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Shock Spectral Analysis of Elastic Systems Impacting on the Water Surface

Cited by 41 publications

References 14 publications

Analysis of loads, motions and cavity dynamics during freefall wedges vertically entering the water surface

Analysis of loads, motions and cavity dynamics during freefall wedges vertically entering the water surface

How contact interactions may depend on the shape of Cauchy cuts in Nth gradient continua: approach “à la D’Alembert”

Second Gradient and Generalized Continua. A workshop held on 12–16 March 2012 in Cisterna di Latina

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