Transient analysis of nonlinear locally resonant metamaterials via computational homogenization

Tim van Nuland, Priscilla Brandão Silva, Ashwin Sridhar, Marc Geers, Varvara Kouznetsova (Corresponding author)

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In this paper, the transient computational homogenization scheme is extended to allow for nonlinear elastodynamic phenomena. The framework is used to analyze wave propagation in a locally resonant metamaterial containing hyperelastic rubber-coated inclusions. The ability to properly simulate realistic nonlinearities in elasto-acoustic metamaterials constitutes a step forward in metamaterial design as, so far, the literature has focused only on academic nonlinear material models and simple lattice structures. The accuracy and efficiency of the framework are assessed by comparing the results with direct numerical simulations for transient dynamic analysis. It is found that the band gap features are adequately captured. The ability of the framework to perform accurate nonlinear transient dynamic analyses of finite-size structures
is also demonstrated, along with the significant computational time savings achieved.
Originele taal-2Engels
Pagina's (van-tot)3136–3155
Aantal pagina's20
TijdschriftMathematics and Mechanics of Solids
Volume24
Nummer van het tijdschrift10
DOI's
StatusGepubliceerd - 1 okt 2019

Vingerafdruk

Transient Analysis
Metamaterials
Homogenization
Transient analysis
Transient Dynamics
Lattice Structure
Elastodynamics
Rubber
Direct numerical simulation
Band Gap
Dynamic Analysis
Dynamic analysis
Wave propagation
Wave Propagation
Nonlinear Dynamics
Acoustics
Energy gap
Inclusion
Nonlinearity
Framework

Citeer dit

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Transient analysis of nonlinear locally resonant metamaterials via computational homogenization. / van Nuland, Tim; Brandão Silva, Priscilla; Sridhar, Ashwin; Geers, Marc; Kouznetsova, Varvara (Corresponding author).

In: Mathematics and Mechanics of Solids, Vol. 24, Nr. 10, 01.10.2019, blz. 3136–3155.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

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AB - In this paper, the transient computational homogenization scheme is extended to allow for nonlinear elastodynamic phenomena. The framework is used to analyze wave propagation in a locally resonant metamaterial containing hyperelastic rubber-coated inclusions. The ability to properly simulate realistic nonlinearities in elasto-acoustic metamaterials constitutes a step forward in metamaterial design as, so far, the literature has focused only on academic nonlinear material models and simple lattice structures. The accuracy and efficiency of the framework are assessed by comparing the results with direct numerical simulations for transient dynamic analysis. It is found that the band gap features are adequately captured. The ability of the framework to perform accurate nonlinear transient dynamic analyses of finite-size structuresis also demonstrated, along with the significant computational time savings achieved.

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