Homogenization in the Modelling of Volume-Controlled Elastic Structures

Abstract The background for this article is the question of modification of the geometric configuration of an elastic structure by means of "volume"-type actuation. In this actuation mode stresses are applied to the elastic body by injection/extraction of a fluid into, or from, a large num...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Russell, David L. [verfasserIn]

Format:	Artikel
Sprache:	Englisch

Erschienen:	2007

Schlagwörter:	Elastic Body Semimajor Axis Elastic System Elastic Structure Small Vacuole

Anmerkung:	© Springer 2007

Übergeordnetes Werk:	Enthalten in: Applied mathematics & optimization - Springer-Verlag, 1974, 55(2007), 2 vom: März, Seite 273-284
Übergeordnetes Werk:	volume:55 ; year:2007 ; number:2 ; month:03 ; pages:273-284

Links:	Volltext

DOI / URN:	10.1007/s00245-006-0891-0

Katalog-ID:	OLC2072641292

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allfields	10.1007/s00245-006-0891-0 doi (DE-627)OLC2072641292 (DE-He213)s00245-006-0891-0-p DE-627 ger DE-627 rakwb eng 510 VZ Russell, David L. verfasserin aut Homogenization in the Modelling of Volume-Controlled Elastic Structures 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer 2007 Abstract The background for this article is the question of modification of the geometric configuration of an elastic structure by means of "volume"-type actuation. In this actuation mode stresses are applied to the elastic body by injection/extraction of a fluid into, or from, a large number of vacuoles in the elastic "matrix" material. Previous articles by the author, and others, have examined this process and studied its effectiveness in the context of a "naive" continuous model. The present paper develops modified models in the two-dimensional case by applying the "multiple scales" homogenization method to elastic bodies with increasingly small and numerous vacuoles arranged in a rectangularly periodic structure. The process leads to a modification of the naive model potentially useful in future elastic system control research. Elastic Body Semimajor Axis Elastic System Elastic Structure Small Vacuole Enthalten in Applied mathematics & optimization Springer-Verlag, 1974 55(2007), 2 vom: März, Seite 273-284 (DE-627)129095184 (DE-600)7418-4 (DE-576)014431300 0095-4616 nnns volume:55 year:2007 number:2 month:03 pages:273-284 https://doi.org/10.1007/s00245-006-0891-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_32 GBV_ILN_60 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4116 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4307 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4700 AR 55 2007 2 03 273-284
spelling	10.1007/s00245-006-0891-0 doi (DE-627)OLC2072641292 (DE-He213)s00245-006-0891-0-p DE-627 ger DE-627 rakwb eng 510 VZ Russell, David L. verfasserin aut Homogenization in the Modelling of Volume-Controlled Elastic Structures 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer 2007 Abstract The background for this article is the question of modification of the geometric configuration of an elastic structure by means of "volume"-type actuation. In this actuation mode stresses are applied to the elastic body by injection/extraction of a fluid into, or from, a large number of vacuoles in the elastic "matrix" material. Previous articles by the author, and others, have examined this process and studied its effectiveness in the context of a "naive" continuous model. The present paper develops modified models in the two-dimensional case by applying the "multiple scales" homogenization method to elastic bodies with increasingly small and numerous vacuoles arranged in a rectangularly periodic structure. The process leads to a modification of the naive model potentially useful in future elastic system control research. Elastic Body Semimajor Axis Elastic System Elastic Structure Small Vacuole Enthalten in Applied mathematics & optimization Springer-Verlag, 1974 55(2007), 2 vom: März, Seite 273-284 (DE-627)129095184 (DE-600)7418-4 (DE-576)014431300 0095-4616 nnns volume:55 year:2007 number:2 month:03 pages:273-284 https://doi.org/10.1007/s00245-006-0891-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_32 GBV_ILN_60 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4116 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4307 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4700 AR 55 2007 2 03 273-284
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allfieldsSound	10.1007/s00245-006-0891-0 doi (DE-627)OLC2072641292 (DE-He213)s00245-006-0891-0-p DE-627 ger DE-627 rakwb eng 510 VZ Russell, David L. verfasserin aut Homogenization in the Modelling of Volume-Controlled Elastic Structures 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer 2007 Abstract The background for this article is the question of modification of the geometric configuration of an elastic structure by means of "volume"-type actuation. In this actuation mode stresses are applied to the elastic body by injection/extraction of a fluid into, or from, a large number of vacuoles in the elastic "matrix" material. Previous articles by the author, and others, have examined this process and studied its effectiveness in the context of a "naive" continuous model. The present paper develops modified models in the two-dimensional case by applying the "multiple scales" homogenization method to elastic bodies with increasingly small and numerous vacuoles arranged in a rectangularly periodic structure. The process leads to a modification of the naive model potentially useful in future elastic system control research. Elastic Body Semimajor Axis Elastic System Elastic Structure Small Vacuole Enthalten in Applied mathematics & optimization Springer-Verlag, 1974 55(2007), 2 vom: März, Seite 273-284 (DE-627)129095184 (DE-600)7418-4 (DE-576)014431300 0095-4616 nnns volume:55 year:2007 number:2 month:03 pages:273-284 https://doi.org/10.1007/s00245-006-0891-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_32 GBV_ILN_60 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4116 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4307 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4700 AR 55 2007 2 03 273-284
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title	Homogenization in the Modelling of Volume-Controlled Elastic Structures
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title_full	Homogenization in the Modelling of Volume-Controlled Elastic Structures
author_sort	Russell, David L.
journal	Applied mathematics & optimization
journalStr	Applied mathematics & optimization
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author_browse	Russell, David L.
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author-letter	Russell, David L.
doi_str_mv	10.1007/s00245-006-0891-0
dewey-full	510
title_sort	homogenization in the modelling of volume-controlled elastic structures
title_auth	Homogenization in the Modelling of Volume-Controlled Elastic Structures
abstract	Abstract The background for this article is the question of modification of the geometric configuration of an elastic structure by means of "volume"-type actuation. In this actuation mode stresses are applied to the elastic body by injection/extraction of a fluid into, or from, a large number of vacuoles in the elastic "matrix" material. Previous articles by the author, and others, have examined this process and studied its effectiveness in the context of a "naive" continuous model. The present paper develops modified models in the two-dimensional case by applying the "multiple scales" homogenization method to elastic bodies with increasingly small and numerous vacuoles arranged in a rectangularly periodic structure. The process leads to a modification of the naive model potentially useful in future elastic system control research. © Springer 2007
abstractGer	Abstract The background for this article is the question of modification of the geometric configuration of an elastic structure by means of "volume"-type actuation. In this actuation mode stresses are applied to the elastic body by injection/extraction of a fluid into, or from, a large number of vacuoles in the elastic "matrix" material. Previous articles by the author, and others, have examined this process and studied its effectiveness in the context of a "naive" continuous model. The present paper develops modified models in the two-dimensional case by applying the "multiple scales" homogenization method to elastic bodies with increasingly small and numerous vacuoles arranged in a rectangularly periodic structure. The process leads to a modification of the naive model potentially useful in future elastic system control research. © Springer 2007
abstract_unstemmed	Abstract The background for this article is the question of modification of the geometric configuration of an elastic structure by means of "volume"-type actuation. In this actuation mode stresses are applied to the elastic body by injection/extraction of a fluid into, or from, a large number of vacuoles in the elastic "matrix" material. Previous articles by the author, and others, have examined this process and studied its effectiveness in the context of a "naive" continuous model. The present paper develops modified models in the two-dimensional case by applying the "multiple scales" homogenization method to elastic bodies with increasingly small and numerous vacuoles arranged in a rectangularly periodic structure. The process leads to a modification of the naive model potentially useful in future elastic system control research. © Springer 2007
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container_issue	2
title_short	Homogenization in the Modelling of Volume-Controlled Elastic Structures
url	https://doi.org/10.1007/s00245-006-0891-0
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doi_str	10.1007/s00245-006-0891-0
up_date	2024-07-03T15:39:18.591Z
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