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

Richard E. Neapolitan; Warren S. Edelstein

doi:10.1007/BF01590792

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

Richard E. Neapolitan^*, Warren S. Edelstein

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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 to s decays exponentially with increasing s. This is a different integral decay estimate from that obtained previously by Edelstein [2] and leads immediately to a pointwise decay estimate for strains.

Original language	English (US)
Pages (from-to)	823-837
Number of pages	15
Journal	Zeitschrift für angewandte Mathematik und Physik ZAMP
Volume	24
Issue number	6
DOIs	https://doi.org/10.1007/BF01590792
State	Published - Nov 1 1973

ASJC Scopus subject areas

Applied Mathematics
Mathematics(all)

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title = "Further study of Saint-Venant's principle in linear viscoelasticity",

abstract = "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 to s decays exponentially with increasing s. This is a different integral decay estimate from that obtained previously by Edelstein [2] and leads immediately to a pointwise decay estimate for strains.",

author = "Neapolitan, {Richard E.} and Edelstein, {Warren S.}",

year = "1973",

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AU - Edelstein, Warren S.

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N2 - 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 to s decays exponentially with increasing s. This is a different integral decay estimate from that obtained previously by Edelstein [2] and leads immediately to a pointwise decay estimate for strains.

AB - 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 to s decays exponentially with increasing s. This is a different integral decay estimate from that obtained previously by Edelstein [2] and leads immediately to a pointwise decay estimate for strains.

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ER -

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

Abstract

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