Multiscale mechanics of dynamical metamaterials

M.G.D. Geers; V. Kouznetsova; A. Sridhar; A. Krushynska

Multiscale mechanics of dynamical metamaterials

M.G.D. Geers
, V. Kouznetsova
, A. Sridhar
, A. Krushynska

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

This contribution focuses on the computational multi-scale solution of wave propagation phenomena in dynamic metamaterials. Taking the Bloch-Floquet solution for the standard elastic case as a point of departure, an extended scheme is presented to solve for heterogeneous visco-elastic materials. The physically and geometrically nonlinear case is addressed through a transient computational homogenization scheme. In the particular case of an elastic heterogeneous microstructure, the homogenization scheme can be reduced to the computational analysis of a fluctuation-enriched extended continuum.

Original language	English
Title of host publication	Advances in Mechanics
Subtitle of host publication	Theoretical, Computational and Interdisciplinary Issues - 3rd Polish Congress of Mechanics, PCM 2015 and 21st International Conference on Computer Methods in Mechanics, CMM 2015
Editors	M. Kleiber, T. Burczynski, K. Wilde, J. Gorski, K. Winkelmann, L. Smakosz
Publisher	CRC Press/Balkema
Pages	11-12
Number of pages	2
ISBN (Electronic)	978-1-315-64506-3
ISBN (Print)	978-113802906-4
Publication status	Published - 2016
Event	3rd Polish Congress of Mechanics (PCM 2015) and 21st International Conference on Computer Methods in Mechanics (CMM 2015) - Gdansk, Poland Duration: 8 Sept 2015 → 11 Sept 2015 Conference number: 3 http://www.pcm-cmm-2015.pg.gda.pl/

Conference

Conference	3rd Polish Congress of Mechanics (PCM 2015) and 21st International Conference on Computer Methods in Mechanics (CMM 2015)
Abbreviated title	PCM - CMM 2015
Country/Territory	Poland
City	Gdansk
Period	8/09/15 → 11/09/15
Internet address	http://www.pcm-cmm-2015.pg.gda.pl/

Cite this

Geers, M. G. D., Kouznetsova, V., Sridhar, A., & Krushynska, A. (2016). Multiscale mechanics of dynamical metamaterials. In M. Kleiber, T. Burczynski, K. Wilde, J. Gorski, K. Winkelmann, & L. Smakosz (Eds.), Advances in Mechanics: Theoretical, Computational and Interdisciplinary Issues - 3rd Polish Congress of Mechanics, PCM 2015 and 21st International Conference on Computer Methods in Mechanics, CMM 2015 (pp. 11-12). CRC Press/Balkema.

Geers, M.G.D. ; Kouznetsova, V. ; Sridhar, A. et al. / Multiscale mechanics of dynamical metamaterials. Advances in Mechanics: Theoretical, Computational and Interdisciplinary Issues - 3rd Polish Congress of Mechanics, PCM 2015 and 21st International Conference on Computer Methods in Mechanics, CMM 2015. editor / M. Kleiber ; T. Burczynski ; K. Wilde ; J. Gorski ; K. Winkelmann ; L. Smakosz. CRC Press/Balkema, 2016. pp. 11-12

@inproceedings{22038b28621d4776a825ec81e6b7d33f,

title = "Multiscale mechanics of dynamical metamaterials",

abstract = "This contribution focuses on the computational multi-scale solution of wave propagation phenomena in dynamic metamaterials. Taking the Bloch-Floquet solution for the standard elastic case as a point of departure, an extended scheme is presented to solve for heterogeneous visco-elastic materials. The physically and geometrically nonlinear case is addressed through a transient computational homogenization scheme. In the particular case of an elastic heterogeneous microstructure, the homogenization scheme can be reduced to the computational analysis of a fluctuation-enriched extended continuum.",

author = "M.G.D. Geers and V. Kouznetsova and A. Sridhar and A. Krushynska",

year = "2016",

language = "English",

isbn = "978-113802906-4",

pages = "11--12",

editor = "M. Kleiber and T. Burczynski and K. Wilde and J. Gorski and K. Winkelmann and L. Smakosz",

booktitle = "Advances in Mechanics",

publisher = "CRC Press/Balkema",

note = "3rd Polish Congress of Mechanics (PCM 2015) and 21st International Conference on Computer Methods in Mechanics (CMM 2015), PCM - CMM 2015 ; Conference date: 08-09-2015 Through 11-09-2015",

url = "http://www.pcm-cmm-2015.pg.gda.pl/",

}

Geers, MGD , Kouznetsova, V, Sridhar, A & Krushynska, A 2016, Multiscale mechanics of dynamical metamaterials. in M Kleiber, T Burczynski, K Wilde, J Gorski, K Winkelmann & L Smakosz (eds), Advances in Mechanics: Theoretical, Computational and Interdisciplinary Issues - 3rd Polish Congress of Mechanics, PCM 2015 and 21st International Conference on Computer Methods in Mechanics, CMM 2015. CRC Press/Balkema, pp. 11-12, 3rd Polish Congress of Mechanics (PCM 2015) and 21st International Conference on Computer Methods in Mechanics (CMM 2015), Gdansk, Poland, 8/09/15.

Multiscale mechanics of dynamical metamaterials. / Geers, M.G.D.; Kouznetsova, V.; Sridhar, A. et al.
Advances in Mechanics: Theoretical, Computational and Interdisciplinary Issues - 3rd Polish Congress of Mechanics, PCM 2015 and 21st International Conference on Computer Methods in Mechanics, CMM 2015. ed. / M. Kleiber; T. Burczynski; K. Wilde; J. Gorski; K. Winkelmann; L. Smakosz. CRC Press/Balkema, 2016. p. 11-12.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Multiscale mechanics of dynamical metamaterials

AU - Geers, M.G.D.

AU - Kouznetsova, V.

AU - Sridhar, A.

AU - Krushynska, A.

N1 - Conference code: 3

PY - 2016

Y1 - 2016

N2 - This contribution focuses on the computational multi-scale solution of wave propagation phenomena in dynamic metamaterials. Taking the Bloch-Floquet solution for the standard elastic case as a point of departure, an extended scheme is presented to solve for heterogeneous visco-elastic materials. The physically and geometrically nonlinear case is addressed through a transient computational homogenization scheme. In the particular case of an elastic heterogeneous microstructure, the homogenization scheme can be reduced to the computational analysis of a fluctuation-enriched extended continuum.

AB - This contribution focuses on the computational multi-scale solution of wave propagation phenomena in dynamic metamaterials. Taking the Bloch-Floquet solution for the standard elastic case as a point of departure, an extended scheme is presented to solve for heterogeneous visco-elastic materials. The physically and geometrically nonlinear case is addressed through a transient computational homogenization scheme. In the particular case of an elastic heterogeneous microstructure, the homogenization scheme can be reduced to the computational analysis of a fluctuation-enriched extended continuum.

UR - https://www.scopus.com/pages/publications/85015072112

M3 - Conference contribution

AN - SCOPUS:85015072112

SN - 978-113802906-4

SP - 11

EP - 12

BT - Advances in Mechanics

A2 - Kleiber, M.

A2 - Burczynski, T.

A2 - Wilde, K.

A2 - Gorski, J.

A2 - Winkelmann, K.

A2 - Smakosz, L.

PB - CRC Press/Balkema

T2 - 3rd Polish Congress of Mechanics (PCM 2015) and 21st International Conference on Computer Methods in Mechanics (CMM 2015)

Y2 - 8 September 2015 through 11 September 2015

ER -

Geers MGD , Kouznetsova V, Sridhar A, Krushynska A. Multiscale mechanics of dynamical metamaterials. In Kleiber M, Burczynski T, Wilde K, Gorski J, Winkelmann K, Smakosz L, editors, Advances in Mechanics: Theoretical, Computational and Interdisciplinary Issues - 3rd Polish Congress of Mechanics, PCM 2015 and 21st International Conference on Computer Methods in Mechanics, CMM 2015. CRC Press/Balkema. 2016. p. 11-12

Multiscale mechanics of dynamical metamaterials

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