Surface waves at the interface between an inviscid fluid and a dipolar gradient solid

Rosi, Giuseppe; Nguyen, Vu‐Hieu; Naı̈li, S.

doi:10.1016/j.wavemoti.2014.11.004

Cited by 11 publications

(4 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…the models presented in [32, 33] ) can be used to add to the model non-local and micro inertial-effects due to the presence of the microstructure, and to allow for dispersive wave propagation, see e.g. [34–39]. This models have been already successfully applied to porous materials, (see e.g.…”

Section: Discussionmentioning

confidence: 99%

Numerical investigations of ultrasound wave propagating in long bones using a poroelastic model

Rosi

Nguyen

Naı̈li

2015

Mathematics and Mechanics of Solids

Self Cite

View full text Add to dashboard Cite

Ultrasonic responses probed from an axial transmission test (ATT) may provide useful information about material and structural properties of cortical bone. For the mathematical modeling of ultrasonic wave propagation in long bones, most of studies assumed an (visco-)elastic behavior for cortical bone tissue by neglecting the interstitial pressure in the pores presented within this material. Here, a functionally graded anisotropic poroelastic model is proposed for describing the behavior of long bones in the ultrasonic frequency range. The simulation of time-domain wave propagation can efficiently be carried out by using a semi-analytical finite element method. The proposed model allows us investigate the influence of the presence of the pores, as well as their distribution in a bone layer on the speed of sound propagated in a cortical bone layer coupled with the marrow and the soft tissue. The effects of emitted signal's frequency will also be examined.

show abstract

Section: Discussionmentioning

confidence: 99%

Numerical investigations of ultrasound wave propagating in long bones using a poroelastic model

Rosi

Nguyen

Naı̈li

2015

Mathematics and Mechanics of Solids

Self Cite

View full text Add to dashboard Cite

show abstract

“…Furthermore, the overall dispersion is normal for direction [001], i.e., phase velocity decreases when increasing the frequency, and anomalous for direction [001] (see [48] for the definition). The anisotropy of the material and the dispersive properties could also have consequences on surface and guided waves propagating in presence of boundaries [49,50], as well as in reflection/transmission problems [51]. These effects will be investigated in further works.…”

Section: Dispersion Analysis Using Finite Elements Analysis (Fea)mentioning

confidence: 99%

On the Failure of Classic Elasticity in Predicting Elastic Wave Propagation in Gyroid Lattices for Very Long Wavelengths

2020

Self Cite

View full text Add to dashboard Cite

In this work we investigate the properties of elastic waves propagating in gyroid lattices. First, we rigorously characterize the lattice from the point of view of crystallography. Second, we use Bloch–Floquet analysis to compute the dispersion relations for elastic waves. The results for very long wavelengths are then compared to those given by classic elasticity for a cubic material. A discrepancy is found in terms of the polarization of waves and it is related to the noncentrosymmetry of the gyroid. The gyroid lattice results to be acoustically active, meaning that transverse waves exhibit a circular polarization when they propagate along an axis of rotational symmetry. This phenomenon is present even for very long wavelengths and is not captured by classic elasticity.

show abstract

“…In article [9], dispersion analysis of surface waves, which occur on the surface of the contact of liquid and homogeneous elastic body, was conducted. Analysis is performed by finding the roots of secular equation and research in physical content.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

“…9. In this case, we have a layer of liquid, limited from the top by a rigid lid and liquid halfspace under it with the contact surface contact η 1 .…”

Section: Dispersion Equation and Solutions Of The First Approximationmentioning

confidence: 99%

Wave propagation in a three-layer semi-infinite hydrodynamic system with a rigid lid

Авраменко

Lunyova

Naradovyi

2017

EEJET

View full text Add to dashboard Cite

Розглянуто слабконелінійну модель поширення та взаємодії хвиль вздовж поверхонь контакту у гідро-динамічній системі «рідкий півпростір -шар -шар з твердою кришкою», наведено перші три її ліній-ні наближення, отримано умову поширення хвиль вздовж поверхонь контакту. Проаналізовано залеж-ність відношення амплітуд хвиль на поверхнях кон-такту при різних геометричних та фізичних пара-метрах системи. Досліджено структуру хвильових рухів на поверхнях контакту. Результати досліджен-ня можуть бути використані при розробці алгорит-мів детектування хвильових рухів у різних рідких середовищах Ключові слова: взаємодія хвиль, тришарова гід-родинамічна система, амплітуди хвиль, відношення амплітуд Рассмотрена слабонелинейная модель распро-странения и взаимодействия волн вдоль поверхностей контакта в гидродинамической системе «жидкое полупространство -слой -слой с твёрдой крышкой», приведены первые три её линейные приближения, получено условие распространения волн вдоль поверх-ностей контакта. Проанализирована зависимость отношения амплитуд волн на поверхностях контак-та от различных геометрических и физических пара-метров системы. Исследована структура волновых движений на поверхностях контакта. Результаты исследования могут быть использованы при разра-ботке алгоритмов детектирования волновых движе-ний в различных жидких средах Ключевые слова: взаимодействие волн, трехслой-ная гидродинамическая система, амплитуды волн, отношение амплитуд UDC 532.59

show abstract

Surface waves at the interface between an inviscid fluid and a dipolar gradient solid

Cited by 11 publications

References 18 publications

Numerical investigations of ultrasound wave propagating in long bones using a poroelastic model

Numerical investigations of ultrasound wave propagating in long bones using a poroelastic model

On the Failure of Classic Elasticity in Predicting Elastic Wave Propagation in Gyroid Lattices for Very Long Wavelengths

Wave propagation in a three-layer semi-infinite hydrodynamic system with a rigid lid

Contact Info

Product

Resources

About