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An Asymptotic Dynamic Theory for Cylindrical Shells
Author(s) -
Johnson M. W.,
Widera O. E.
Publication year - 1969
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1969483205
Subject(s) - shell theory , elasticity (physics) , shell (structure) , displacement (psychology) , mathematics , length scale , mathematical analysis , stress wave , classical mechanics , physics , mechanics , materials science , psychology , thermodynamics , composite material , psychotherapist
By expanding the displacement and stress components together with the axial length scale in terms of a small thin shell parameter, three asymptotic shell theories are obtained which incorporate thickness effects in a systematic way. The expansions are made in the equations of linear three‐dimensional elasticity. These theories are used to examine the problem of longitudinal wave propagation in a shell of infinite length.