On the vibrations of a laminated body

J. D. Achenbach, C. T. Sun*, G. Herrmann

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

79 Scopus citations


A continuum theory for a laminated medium is further developed in this paper. Constitutive equations, stress equations of motion, and natural boundary conditions are presented, and sufficient conditions for a unique solution are discussed. The governing equations and boundary conditions are employed to study the thickness-twist motion of a laminated layer. For every nodal number there is a low frequency acoustic mode and a high frequency optical mode. The frequencies of the acoustic modes are compared with the corresponding frequencies predicted by Ike effective modulus theory, and the relative magnitudes of the material parameters for which these frequencies are substantially at variance are indicated.

Original languageEnglish (US)
Pages (from-to)689-696
Number of pages8
JournalJournal of Applied Mechanics, Transactions ASME
Issue number4
StatePublished - 1964
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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