Dynamic response of a viscoelastic cylinder with ablating inner surface

J. D. Achenbach*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The effects of ablation and viscoelasticity on the vibratory response of a hollow cylinder are investigated. The cylinder is subjected to a time-dependent internal pressure. Solutions are presented for the circumferential stress at the eroding inner surface and for the displacement in radial direction. It is found that, due to ablation, frequencies decrease and amplitudes increase. The increases in amplitudes due to ablation are counteracted by viscoelastic damping. In this analysis, it is assumed that the material is incompressible in bulk and viscoelastic in shear.

Original languageEnglish (US)
Pages (from-to)275-281
Number of pages7
JournalJournal of Applied Mechanics, Transactions ASME
Issue number2
StatePublished - 1964

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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