Macroscopic Description of Microscopically Strongly Inhomogenous Systems: A Mathematical Basis for the Synthesis of Higher Gradients Metamaterials-Reference-Cited by-同舟云学术

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Macroscopic Description of Microscopically Strongly Inhomogenous Systems: A Mathematical Basis for the Synthesis of Higher Gradients Metamaterials

Published:2015-05-21 Issue:3 Volume:218 Page:1239-1262
ISSN:0003-9527
Container-title:Archive for Rational Mechanics and Analysis
language:en
Short-container-title:Arch Rational Mech Anal

Author:

Carcaterra A.,dell’Isola F.,Esposito R.,Pulvirenti M.

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00205-015-0879-5.pdf

Reference29 articles.

1. Alibert J.J., Seppecher P., dell’Isola F.: Truss modular beams with deformation energy depending on higher displacement gradients. Math. Mech. Solids 8, 51–73 (2003)

2. Auffray, N., dell’Isola, F., Eremeyev, V., Madeo, A., Rosi, G.: Analytical continuum mechanics a la Hamilton–Piola: least action principle for second gradient continua and capillary fluids. arXiv preprint arXiv:1305.6744 (2013) to appear in Mathematics and Mechanics of Solids (2014). doi: 10.1177/1081286513497616

3. Carcaterra, A, Akay, A.: Dissipation in a finite-size bath. Phys. Rev. E, 84, 011121.1–011121.4 (2011)

4. Carcaterra A., Akay A.: Theoretical foundation of apparent damping and irreversible energy exchange in linear conservative dynamical systems. J. Acoust. Soc. Am. 121, 1971–1982 (2007)

5. Chesnais, C., Boutin, C., Stèphane, H.: Effects of the local resonance on the wave propagation in periodic frame structures: generalized Newtonian mechanics. J. Acoust. Soc. Am. 132, 2873 (2012)

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