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 journalArticle

    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 languageEnglish (US)
    Pages (from-to)823-837
    Number of pages15
    JournalZeitschrift für angewandte Mathematik und Physik ZAMP
    Volume24
    Issue number6
    DOIs
    StatePublished - Nov 1 1973

    ASJC Scopus subject areas

    • Applied Mathematics
    • Mathematics(all)

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