Homogenization of locally resonant acoustic metamaterials towards an emergent enriched continuum
Abstract This contribution presents a novel homogenization technique for modeling heterogeneous materials with micro-inertia effects such as locally resonant acoustic metamaterials. Linear elastodynamics is used to model the micro and macro scale problems and an extended first order Computational Ho...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Sridhar, A. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s) 2016 |
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| Übergeordnetes Werk: |
Enthalten in: Computational mechanics - Springer Berlin Heidelberg, 1986, 57(2016), 3 vom: 08. Feb., Seite 423-435 |
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| Übergeordnetes Werk: |
volume:57 ; year:2016 ; number:3 ; day:08 ; month:02 ; pages:423-435 |
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| DOI / URN: |
10.1007/s00466-015-1254-y |
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| 520 | |a Abstract This contribution presents a novel homogenization technique for modeling heterogeneous materials with micro-inertia effects such as locally resonant acoustic metamaterials. Linear elastodynamics is used to model the micro and macro scale problems and an extended first order Computational Homogenization framework is used to establish the coupling. Craig Bampton Mode Synthesis is then applied to solve and eliminate the microscale problem, resulting in a compact closed form description of the microdynamics that accurately captures the Local Resonance phenomena. The resulting equations represent an enriched continuum in which additional kinematic degrees of freedom emerge to account for Local Resonance effects which would otherwise be absent in a classical continuum. Such an approach retains the accuracy and robustness offered by a standard Computational Homogenization implementation, whereby the problem and the computational time are reduced to the on-line solution of one scale only. | ||
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10.1007/s00466-015-1254-y doi (DE-627)OLC2054927627 (DE-He213)s00466-015-1254-y-p DE-627 ger DE-627 rakwb eng 530 004 VZ 11 ssgn Sridhar, A. verfasserin aut Homogenization of locally resonant acoustic metamaterials towards an emergent enriched continuum 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2016 Abstract This contribution presents a novel homogenization technique for modeling heterogeneous materials with micro-inertia effects such as locally resonant acoustic metamaterials. Linear elastodynamics is used to model the micro and macro scale problems and an extended first order Computational Homogenization framework is used to establish the coupling. Craig Bampton Mode Synthesis is then applied to solve and eliminate the microscale problem, resulting in a compact closed form description of the microdynamics that accurately captures the Local Resonance phenomena. The resulting equations represent an enriched continuum in which additional kinematic degrees of freedom emerge to account for Local Resonance effects which would otherwise be absent in a classical continuum. Such an approach retains the accuracy and robustness offered by a standard Computational Homogenization implementation, whereby the problem and the computational time are reduced to the on-line solution of one scale only. Locally resonant acoustic metamaterial Computational homogenization Model order reduction Craig–Bampton Mode synthesis Enriched continuum Micro-inertia Kouznetsova, V. G. aut Geers, M. G. D. aut Enthalten in Computational mechanics Springer Berlin Heidelberg, 1986 57(2016), 3 vom: 08. Feb., Seite 423-435 (DE-627)130635170 (DE-600)799787-5 (DE-576)016140648 0178-7675 nnns volume:57 year:2016 number:3 day:08 month:02 pages:423-435 https://doi.org/10.1007/s00466-015-1254-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4277 GBV_ILN_4323 AR 57 2016 3 08 02 423-435 |
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10.1007/s00466-015-1254-y doi (DE-627)OLC2054927627 (DE-He213)s00466-015-1254-y-p DE-627 ger DE-627 rakwb eng 530 004 VZ 11 ssgn Sridhar, A. verfasserin aut Homogenization of locally resonant acoustic metamaterials towards an emergent enriched continuum 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2016 Abstract This contribution presents a novel homogenization technique for modeling heterogeneous materials with micro-inertia effects such as locally resonant acoustic metamaterials. Linear elastodynamics is used to model the micro and macro scale problems and an extended first order Computational Homogenization framework is used to establish the coupling. Craig Bampton Mode Synthesis is then applied to solve and eliminate the microscale problem, resulting in a compact closed form description of the microdynamics that accurately captures the Local Resonance phenomena. The resulting equations represent an enriched continuum in which additional kinematic degrees of freedom emerge to account for Local Resonance effects which would otherwise be absent in a classical continuum. Such an approach retains the accuracy and robustness offered by a standard Computational Homogenization implementation, whereby the problem and the computational time are reduced to the on-line solution of one scale only. Locally resonant acoustic metamaterial Computational homogenization Model order reduction Craig–Bampton Mode synthesis Enriched continuum Micro-inertia Kouznetsova, V. G. aut Geers, M. G. D. aut Enthalten in Computational mechanics Springer Berlin Heidelberg, 1986 57(2016), 3 vom: 08. Feb., Seite 423-435 (DE-627)130635170 (DE-600)799787-5 (DE-576)016140648 0178-7675 nnns volume:57 year:2016 number:3 day:08 month:02 pages:423-435 https://doi.org/10.1007/s00466-015-1254-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4277 GBV_ILN_4323 AR 57 2016 3 08 02 423-435 |
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10.1007/s00466-015-1254-y doi (DE-627)OLC2054927627 (DE-He213)s00466-015-1254-y-p DE-627 ger DE-627 rakwb eng 530 004 VZ 11 ssgn Sridhar, A. verfasserin aut Homogenization of locally resonant acoustic metamaterials towards an emergent enriched continuum 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2016 Abstract This contribution presents a novel homogenization technique for modeling heterogeneous materials with micro-inertia effects such as locally resonant acoustic metamaterials. Linear elastodynamics is used to model the micro and macro scale problems and an extended first order Computational Homogenization framework is used to establish the coupling. Craig Bampton Mode Synthesis is then applied to solve and eliminate the microscale problem, resulting in a compact closed form description of the microdynamics that accurately captures the Local Resonance phenomena. The resulting equations represent an enriched continuum in which additional kinematic degrees of freedom emerge to account for Local Resonance effects which would otherwise be absent in a classical continuum. Such an approach retains the accuracy and robustness offered by a standard Computational Homogenization implementation, whereby the problem and the computational time are reduced to the on-line solution of one scale only. Locally resonant acoustic metamaterial Computational homogenization Model order reduction Craig–Bampton Mode synthesis Enriched continuum Micro-inertia Kouznetsova, V. G. aut Geers, M. G. D. aut Enthalten in Computational mechanics Springer Berlin Heidelberg, 1986 57(2016), 3 vom: 08. Feb., Seite 423-435 (DE-627)130635170 (DE-600)799787-5 (DE-576)016140648 0178-7675 nnns volume:57 year:2016 number:3 day:08 month:02 pages:423-435 https://doi.org/10.1007/s00466-015-1254-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4277 GBV_ILN_4323 AR 57 2016 3 08 02 423-435 |
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10.1007/s00466-015-1254-y doi (DE-627)OLC2054927627 (DE-He213)s00466-015-1254-y-p DE-627 ger DE-627 rakwb eng 530 004 VZ 11 ssgn Sridhar, A. verfasserin aut Homogenization of locally resonant acoustic metamaterials towards an emergent enriched continuum 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2016 Abstract This contribution presents a novel homogenization technique for modeling heterogeneous materials with micro-inertia effects such as locally resonant acoustic metamaterials. Linear elastodynamics is used to model the micro and macro scale problems and an extended first order Computational Homogenization framework is used to establish the coupling. Craig Bampton Mode Synthesis is then applied to solve and eliminate the microscale problem, resulting in a compact closed form description of the microdynamics that accurately captures the Local Resonance phenomena. The resulting equations represent an enriched continuum in which additional kinematic degrees of freedom emerge to account for Local Resonance effects which would otherwise be absent in a classical continuum. Such an approach retains the accuracy and robustness offered by a standard Computational Homogenization implementation, whereby the problem and the computational time are reduced to the on-line solution of one scale only. Locally resonant acoustic metamaterial Computational homogenization Model order reduction Craig–Bampton Mode synthesis Enriched continuum Micro-inertia Kouznetsova, V. G. aut Geers, M. G. D. aut Enthalten in Computational mechanics Springer Berlin Heidelberg, 1986 57(2016), 3 vom: 08. Feb., Seite 423-435 (DE-627)130635170 (DE-600)799787-5 (DE-576)016140648 0178-7675 nnns volume:57 year:2016 number:3 day:08 month:02 pages:423-435 https://doi.org/10.1007/s00466-015-1254-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4277 GBV_ILN_4323 AR 57 2016 3 08 02 423-435 |
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10.1007/s00466-015-1254-y doi (DE-627)OLC2054927627 (DE-He213)s00466-015-1254-y-p DE-627 ger DE-627 rakwb eng 530 004 VZ 11 ssgn Sridhar, A. verfasserin aut Homogenization of locally resonant acoustic metamaterials towards an emergent enriched continuum 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2016 Abstract This contribution presents a novel homogenization technique for modeling heterogeneous materials with micro-inertia effects such as locally resonant acoustic metamaterials. Linear elastodynamics is used to model the micro and macro scale problems and an extended first order Computational Homogenization framework is used to establish the coupling. Craig Bampton Mode Synthesis is then applied to solve and eliminate the microscale problem, resulting in a compact closed form description of the microdynamics that accurately captures the Local Resonance phenomena. The resulting equations represent an enriched continuum in which additional kinematic degrees of freedom emerge to account for Local Resonance effects which would otherwise be absent in a classical continuum. Such an approach retains the accuracy and robustness offered by a standard Computational Homogenization implementation, whereby the problem and the computational time are reduced to the on-line solution of one scale only. Locally resonant acoustic metamaterial Computational homogenization Model order reduction Craig–Bampton Mode synthesis Enriched continuum Micro-inertia Kouznetsova, V. G. aut Geers, M. G. D. aut Enthalten in Computational mechanics Springer Berlin Heidelberg, 1986 57(2016), 3 vom: 08. Feb., Seite 423-435 (DE-627)130635170 (DE-600)799787-5 (DE-576)016140648 0178-7675 nnns volume:57 year:2016 number:3 day:08 month:02 pages:423-435 https://doi.org/10.1007/s00466-015-1254-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4277 GBV_ILN_4323 AR 57 2016 3 08 02 423-435 |
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Homogenization of locally resonant acoustic metamaterials towards an emergent enriched continuum |
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Abstract This contribution presents a novel homogenization technique for modeling heterogeneous materials with micro-inertia effects such as locally resonant acoustic metamaterials. Linear elastodynamics is used to model the micro and macro scale problems and an extended first order Computational Homogenization framework is used to establish the coupling. Craig Bampton Mode Synthesis is then applied to solve and eliminate the microscale problem, resulting in a compact closed form description of the microdynamics that accurately captures the Local Resonance phenomena. The resulting equations represent an enriched continuum in which additional kinematic degrees of freedom emerge to account for Local Resonance effects which would otherwise be absent in a classical continuum. Such an approach retains the accuracy and robustness offered by a standard Computational Homogenization implementation, whereby the problem and the computational time are reduced to the on-line solution of one scale only. © The Author(s) 2016 |
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Abstract This contribution presents a novel homogenization technique for modeling heterogeneous materials with micro-inertia effects such as locally resonant acoustic metamaterials. Linear elastodynamics is used to model the micro and macro scale problems and an extended first order Computational Homogenization framework is used to establish the coupling. Craig Bampton Mode Synthesis is then applied to solve and eliminate the microscale problem, resulting in a compact closed form description of the microdynamics that accurately captures the Local Resonance phenomena. The resulting equations represent an enriched continuum in which additional kinematic degrees of freedom emerge to account for Local Resonance effects which would otherwise be absent in a classical continuum. Such an approach retains the accuracy and robustness offered by a standard Computational Homogenization implementation, whereby the problem and the computational time are reduced to the on-line solution of one scale only. © The Author(s) 2016 |
| abstract_unstemmed |
Abstract This contribution presents a novel homogenization technique for modeling heterogeneous materials with micro-inertia effects such as locally resonant acoustic metamaterials. Linear elastodynamics is used to model the micro and macro scale problems and an extended first order Computational Homogenization framework is used to establish the coupling. Craig Bampton Mode Synthesis is then applied to solve and eliminate the microscale problem, resulting in a compact closed form description of the microdynamics that accurately captures the Local Resonance phenomena. The resulting equations represent an enriched continuum in which additional kinematic degrees of freedom emerge to account for Local Resonance effects which would otherwise be absent in a classical continuum. Such an approach retains the accuracy and robustness offered by a standard Computational Homogenization implementation, whereby the problem and the computational time are reduced to the on-line solution of one scale only. © The Author(s) 2016 |
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Homogenization of locally resonant acoustic metamaterials towards an emergent enriched continuum |
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Kouznetsova, V. G. Geers, M. G. D. |
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