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

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

Samenvatting

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.

Originele taal-2	Engels
Titel	Advances in Mechanics
Subtitel	Theoretical, Computational and Interdisciplinary Issues - 3rd Polish Congress of Mechanics, PCM 2015 and 21st International Conference on Computer Methods in Mechanics, CMM 2015
Redacteuren	M. Kleiber, T. Burczynski, K. Wilde, J. Gorski, K. Winkelmann, L. Smakosz
Uitgeverij	CRC Press/Balkema
Pagina's	11-12
Aantal pagina's	2
ISBN van elektronische versie	978-1-315-64506-3
ISBN van geprinte versie	978-113802906-4
Status	Gepubliceerd - 2016
Evenement	3rd Polish Congress of Mechanics (PCM 2015) and 21st International Conference on Computer Methods in Mechanics (CMM 2015) - Gdansk, Polen Duur: 8 sep. 2015 → 11 sep. 2015 Congresnummer: 3 http://www.pcm-cmm-2015.pg.gda.pl/

Congres

Congres	3rd Polish Congress of Mechanics (PCM 2015) and 21st International Conference on Computer Methods in Mechanics (CMM 2015)
Verkorte titel	PCM - CMM 2015
Land/Regio	Polen
Stad	Gdansk
Periode	8/09/15 → 11/09/15
Internet adres	http://www.pcm-cmm-2015.pg.gda.pl/

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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 (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 (blz. 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. redacteur / M. Kleiber ; T. Burczynski ; K. Wilde ; J. Gorski ; K. Winkelmann ; L. Smakosz. CRC Press/Balkema, 2016. blz. 11-12

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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 (uitgave), 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, blz. 11-12, 3rd Polish Congress of Mechanics (PCM 2015) and 21st International Conference on Computer Methods in Mechanics (CMM 2015), Gdansk, Polen, 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. uitgave / M. Kleiber; T. Burczynski; K. Wilde; J. Gorski; K. Winkelmann; L. Smakosz. CRC Press/Balkema, 2016. blz. 11-12.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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AU - Sridhar, A.

AU - Krushynska, A.

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PY - 2016

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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.

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M3 - Conference contribution

AN - SCOPUS:85015072112

SN - 978-113802906-4

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EP - 12

BT - Advances in Mechanics

A2 - Kleiber, M.

A2 - Burczynski, T.

A2 - Wilde, K.

A2 - Gorski, J.

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PB - CRC Press/Balkema

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

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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, redacteurs, 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. blz. 11-12

Multiscale mechanics of dynamical metamaterials

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