Further study of Saint-Venant's principle in linear viscoelasticity

Summary For a viscoelastic beam loaded at one end and otherwise traction-free, it is shown that a certain integral measure of the strain in that portion of the beam at a distance greater than or equal tos decays exponentially with increasings. This is a different integral decay estimate from that ob...
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Gespeichert in:

Autor*in:	Neapolitan, Richard E. [verfasserIn] Edelstein, Warren S.

Format:	Artikel
Sprache:	Englisch

Erschienen:	1973

Schlagwörter:	Mathematical Method Integral Measure Decay Estimate Linear Viscoelasticity Viscoelastic Beam

Anmerkung:	© Birkhäuser Verlag 1973

Übergeordnetes Werk:	Enthalten in: Zeitschrift für angewandte Mathematik und Physik - Birkhäuser-Verlag, 1950, 24(1973), 6 vom: Nov., Seite 823-837
Übergeordnetes Werk:	volume:24 ; year:1973 ; number:6 ; month:11 ; pages:823-837

Links:	Volltext

DOI / URN:	10.1007/BF01590792

Katalog-ID:	OLC2069587312

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650		4	\|a Mathematical Method
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allfields	10.1007/BF01590792 doi (DE-627)OLC2069587312 (DE-He213)BF01590792-p DE-627 ger DE-627 rakwb eng 530 510 VZ Neapolitan, Richard E. verfasserin aut Further study of Saint-Venant's principle in linear viscoelasticity 1973 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag 1973 Summary For a viscoelastic beam loaded at one end and otherwise traction-free, it is shown that a certain integral measure of the strain in that portion of the beam at a distance greater than or equal tos decays exponentially with increasings. This is a different integral decay estimate from that obtained previously by Edelstein [2] and leads immediately to a pointwise decay estimate for strains. Mathematical Method Integral Measure Decay Estimate Linear Viscoelasticity Viscoelastic Beam Edelstein, Warren S. aut Enthalten in Zeitschrift für angewandte Mathematik und Physik Birkhäuser-Verlag, 1950 24(1973), 6 vom: Nov., Seite 823-837 (DE-627)129474185 (DE-600)203013-5 (DE-576)014852039 0044-2275 nnns volume:24 year:1973 number:6 month:11 pages:823-837 https://doi.org/10.1007/BF01590792 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_59 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_170 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2088 GBV_ILN_2110 GBV_ILN_2333 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4323 GBV_ILN_4700 AR 24 1973 6 11 823-837
spelling	10.1007/BF01590792 doi (DE-627)OLC2069587312 (DE-He213)BF01590792-p DE-627 ger DE-627 rakwb eng 530 510 VZ Neapolitan, Richard E. verfasserin aut Further study of Saint-Venant's principle in linear viscoelasticity 1973 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag 1973 Summary For a viscoelastic beam loaded at one end and otherwise traction-free, it is shown that a certain integral measure of the strain in that portion of the beam at a distance greater than or equal tos decays exponentially with increasings. This is a different integral decay estimate from that obtained previously by Edelstein [2] and leads immediately to a pointwise decay estimate for strains. Mathematical Method Integral Measure Decay Estimate Linear Viscoelasticity Viscoelastic Beam Edelstein, Warren S. aut Enthalten in Zeitschrift für angewandte Mathematik und Physik Birkhäuser-Verlag, 1950 24(1973), 6 vom: Nov., Seite 823-837 (DE-627)129474185 (DE-600)203013-5 (DE-576)014852039 0044-2275 nnns volume:24 year:1973 number:6 month:11 pages:823-837 https://doi.org/10.1007/BF01590792 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_59 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_170 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2088 GBV_ILN_2110 GBV_ILN_2333 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4323 GBV_ILN_4700 AR 24 1973 6 11 823-837
allfields_unstemmed	10.1007/BF01590792 doi (DE-627)OLC2069587312 (DE-He213)BF01590792-p DE-627 ger DE-627 rakwb eng 530 510 VZ Neapolitan, Richard E. verfasserin aut Further study of Saint-Venant's principle in linear viscoelasticity 1973 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag 1973 Summary For a viscoelastic beam loaded at one end and otherwise traction-free, it is shown that a certain integral measure of the strain in that portion of the beam at a distance greater than or equal tos decays exponentially with increasings. This is a different integral decay estimate from that obtained previously by Edelstein [2] and leads immediately to a pointwise decay estimate for strains. Mathematical Method Integral Measure Decay Estimate Linear Viscoelasticity Viscoelastic Beam Edelstein, Warren S. aut Enthalten in Zeitschrift für angewandte Mathematik und Physik Birkhäuser-Verlag, 1950 24(1973), 6 vom: Nov., Seite 823-837 (DE-627)129474185 (DE-600)203013-5 (DE-576)014852039 0044-2275 nnns volume:24 year:1973 number:6 month:11 pages:823-837 https://doi.org/10.1007/BF01590792 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_59 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_170 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2088 GBV_ILN_2110 GBV_ILN_2333 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4323 GBV_ILN_4700 AR 24 1973 6 11 823-837
allfieldsGer	10.1007/BF01590792 doi (DE-627)OLC2069587312 (DE-He213)BF01590792-p DE-627 ger DE-627 rakwb eng 530 510 VZ Neapolitan, Richard E. verfasserin aut Further study of Saint-Venant's principle in linear viscoelasticity 1973 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag 1973 Summary For a viscoelastic beam loaded at one end and otherwise traction-free, it is shown that a certain integral measure of the strain in that portion of the beam at a distance greater than or equal tos decays exponentially with increasings. This is a different integral decay estimate from that obtained previously by Edelstein [2] and leads immediately to a pointwise decay estimate for strains. Mathematical Method Integral Measure Decay Estimate Linear Viscoelasticity Viscoelastic Beam Edelstein, Warren S. aut Enthalten in Zeitschrift für angewandte Mathematik und Physik Birkhäuser-Verlag, 1950 24(1973), 6 vom: Nov., Seite 823-837 (DE-627)129474185 (DE-600)203013-5 (DE-576)014852039 0044-2275 nnns volume:24 year:1973 number:6 month:11 pages:823-837 https://doi.org/10.1007/BF01590792 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_59 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_170 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2088 GBV_ILN_2110 GBV_ILN_2333 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4323 GBV_ILN_4700 AR 24 1973 6 11 823-837
allfieldsSound	10.1007/BF01590792 doi (DE-627)OLC2069587312 (DE-He213)BF01590792-p DE-627 ger DE-627 rakwb eng 530 510 VZ Neapolitan, Richard E. verfasserin aut Further study of Saint-Venant's principle in linear viscoelasticity 1973 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag 1973 Summary For a viscoelastic beam loaded at one end and otherwise traction-free, it is shown that a certain integral measure of the strain in that portion of the beam at a distance greater than or equal tos decays exponentially with increasings. This is a different integral decay estimate from that obtained previously by Edelstein [2] and leads immediately to a pointwise decay estimate for strains. Mathematical Method Integral Measure Decay Estimate Linear Viscoelasticity Viscoelastic Beam Edelstein, Warren S. aut Enthalten in Zeitschrift für angewandte Mathematik und Physik Birkhäuser-Verlag, 1950 24(1973), 6 vom: Nov., Seite 823-837 (DE-627)129474185 (DE-600)203013-5 (DE-576)014852039 0044-2275 nnns volume:24 year:1973 number:6 month:11 pages:823-837 https://doi.org/10.1007/BF01590792 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_59 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_170 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2088 GBV_ILN_2110 GBV_ILN_2333 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4323 GBV_ILN_4700 AR 24 1973 6 11 823-837
language	English
source	Enthalten in Zeitschrift für angewandte Mathematik und Physik 24(1973), 6 vom: Nov., Seite 823-837 volume:24 year:1973 number:6 month:11 pages:823-837
sourceStr	Enthalten in Zeitschrift für angewandte Mathematik und Physik 24(1973), 6 vom: Nov., Seite 823-837 volume:24 year:1973 number:6 month:11 pages:823-837
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Mathematical Method Integral Measure Decay Estimate Linear Viscoelasticity Viscoelastic Beam
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container_title	Zeitschrift für angewandte Mathematik und Physik
authorswithroles_txt_mv	Neapolitan, Richard E. @@aut@@ Edelstein, Warren S. @@aut@@
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author	Neapolitan, Richard E.
spellingShingle	Neapolitan, Richard E. ddc 530 misc Mathematical Method misc Integral Measure misc Decay Estimate misc Linear Viscoelasticity misc Viscoelastic Beam Further study of Saint-Venant's principle in linear viscoelasticity
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topic_title	530 510 VZ Further study of Saint-Venant's principle in linear viscoelasticity Mathematical Method Integral Measure Decay Estimate Linear Viscoelasticity Viscoelastic Beam
topic	ddc 530 misc Mathematical Method misc Integral Measure misc Decay Estimate misc Linear Viscoelasticity misc Viscoelastic Beam
topic_unstemmed	ddc 530 misc Mathematical Method misc Integral Measure misc Decay Estimate misc Linear Viscoelasticity misc Viscoelastic Beam
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title	Further study of Saint-Venant's principle in linear viscoelasticity
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title_full	Further study of Saint-Venant's principle in linear viscoelasticity
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title_sort	further study of saint-venant's principle in linear viscoelasticity
title_auth	Further study of Saint-Venant's principle in linear viscoelasticity
abstract	Summary For a viscoelastic beam loaded at one end and otherwise traction-free, it is shown that a certain integral measure of the strain in that portion of the beam at a distance greater than or equal tos decays exponentially with increasings. This is a different integral decay estimate from that obtained previously by Edelstein [2] and leads immediately to a pointwise decay estimate for strains. © Birkhäuser Verlag 1973
abstractGer	Summary For a viscoelastic beam loaded at one end and otherwise traction-free, it is shown that a certain integral measure of the strain in that portion of the beam at a distance greater than or equal tos decays exponentially with increasings. This is a different integral decay estimate from that obtained previously by Edelstein [2] and leads immediately to a pointwise decay estimate for strains. © Birkhäuser Verlag 1973
abstract_unstemmed	Summary For a viscoelastic beam loaded at one end and otherwise traction-free, it is shown that a certain integral measure of the strain in that portion of the beam at a distance greater than or equal tos decays exponentially with increasings. This is a different integral decay estimate from that obtained previously by Edelstein [2] and leads immediately to a pointwise decay estimate for strains. © Birkhäuser Verlag 1973
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title_short	Further study of Saint-Venant's principle in linear viscoelasticity
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