Dynamic response of a viscoelastic cylinder with ablating inner surface

J. D. Achenbach

doi:10.1115/1.3625038

Dynamic response of a viscoelastic cylinder with ablating inner surface

J. D. Achenbach^*

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	275-281
Number of pages	7
Journal	Journal of Applied Mechanics, Transactions ASME
Volume	33
Issue number	2
DOIs	https://doi.org/10.1115/1.3625038
State	Published - Jan 1 1964

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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