An Asymptotic Dynamic Theory for Cylindrical Shells | Zendy

Johnson M. W. | Zendy; Widera O. E. | Zendy

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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.

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