Wave momentum in models of generalized continua

被引：2

作者：

Rousseau, Martine ^{[1
]}

Maugin, Gerard A. ^{[1
]}

机构：

[1] Univ Paris 06, Inst Jean Le Rond dAlembert, UMR CNRS 7190, F-75252 Paris 05, France

来源：

WAVE MOTION | 2013年 / 50卷 / 03期

关键词：

Wave momentum; Generalized continua; Polar media; Gradient elasticity; Nonlocal elasticity; Quasi-particles; SURFACE-WAVES; ELASTICITY; CONSERVATION; FORMULATIONS; STRESS; LAWS;

D O I：

10.1016/j.wavemoti.2012.12.007

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The possibility of associating the notion of quasi-particles with elastic wave modes is explored for three basic models of generalized continua: strain-gradient model (weak nonlocality), elasticity with a microstructure such as in Cosserat/micropolar materials, and a true nonlocal model involving the long-range interactions in the underlying crystal lattice. In each case a simplified one-dimensional model is considered. Approximate solutions involving small parameters and exhibiting scale effects are obtained for the Newtonian-like motion of associated quasi-particles. Interpretation for alternate wave-like and quasi-particle-like behaviors is given. (c) 2012 Elsevier B.V. All rights reserved.

引用

页码：509 / 519

页数：11

共 50 条

[31] Love-Wave Propagation in an Inhomogeneous Orthotropic Medium Obeying the Exponential and Generalized Power Law Models [J].

Wang, Cheng-Der ;

Chou, Hung-Tao ;

Peng, Deng-Huang .

INTERNATIONAL JOURNAL OF GEOMECHANICS, 2017, 17 (07)

[32] A review of presentations and discussions of the workshop Computational mechanics of generalized continua and applications to materials with microstructure that was held in Catania 29-31 October 2015 [J].

Misra, Anil ;

Placidi, Luca ;

Scerrato, Daria .

MATHEMATICS AND MECHANICS OF SOLIDS, 2017, 22 (09) :1891-1904

[33] Non-standard contact conditions in generalized continua: microblock contact model for a Cosserat body [J].

Lewandowski-Szewczyk, M. J. ;

Stupkiewicz, S. .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2020, 202 :881-894

[34] Euromech 563 Cisterna di Latina 17-21 March 2014 Generalized continua and their applications to the design of composites and metamaterials: A review of presentations and discussions [J].

Placidi, Luca ;

Giorgio, Ivan ;

Della Corte, Alessandro ;

Scerrato, Daria .

MATHEMATICS AND MECHANICS OF SOLIDS, 2017, 22 (02) :144-157

[35] Vertical Profiles of Wave-Coherent Momentum Flux and Velocity Variances in the Marine Atmospheric Boundary Layer [J].

Wu, Lichuan ;

Hristov, Tihomir ;

Rutgersson, Anna .

JOURNAL OF PHYSICAL OCEANOGRAPHY, 2018, 48 (03) :625-641

[36] A Major Improvement of Atmospheric Wave Boundary Layer Model for Storm Surge Modeling by Including Effect of Wave Breaking on Air-Sea Momentum Exchange [J].

Zhang, Anyifang ;

Yu, Xiping .

JOURNAL OF PHYSICAL OCEANOGRAPHY, 2024, 54 (05) :1153-1168

[37] Some links between recent gradient thermo-elasto-plasticity theories and the thermomechanics of generalized continua [J].

Forest, Samuel ;

Aifantis, Elias C. .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2010, 47 (25-26) :3367-3376

[38] Momentum exchanges in coupled ocean-wave modeling system [J].

Veeramony, Jay ;

Campbell, Tim ;

Martin, Paul ;

Edwards, Kacey ;

Blain, Cheryl Ann .

OCEANS 2018 MTS/IEEE CHARLESTON, 2018,

[39] Wind-Wave Momentum Flux in Steep, Strongly Forced, Surface Gravity Wave Conditions [J].

Tan, Peisen ;

Savelyev, Ivan ;

Laxague, Nathan J. M. ;

Haus, Brian K. ;

Curcic, Milan ;

Matt, Silvia ;

Zappa, Christopher J. ;

Mehta, Sanchit ;

Wray, Sydney .

JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS, 2025, 130 (01)

[40] Second Gradient and Generalized Continua A workshop held on 12-16 March 2012 in Cisterna di Latina [J].

dell'Isola, Francesco ;

Forest, Samuel .

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2014, 94 (05) :367-372

← 1 2 3 4 5 →