Three-Dimensional Analysis of Axisymmetric Transient Waves in Hollow Elastic Cylinders

[+] Author and Article Information
P.-A. Svärdh

Uttervägen 11, S-72242 Västerås, Sweden

J. Appl. Mech 51(4), 792-797 (Dec 01, 1984) (6 pages) doi:10.1115/1.3167726 History: Received June 01, 1983; Revised December 01, 1983; Online July 21, 2009


The axially symmetric problem of a semi-infinite, hollow, linear-elastic circular cylinder with traction-free lateral surfaces initially at rest and subjected to transient end loadings is solved using three-dimensional theory. Two cases are treated: an axial pressure applied to a radially clamped end and a prescribed axial velocity applied to an end that is free from shear stress. A double integral transform technique is used, and asymptotic solutions valid at large distances from the end are given for two types of time variation of the end loadings: step function and finite rise time function. A necessary condition for the validity of the asymptotic result is given.

Copyright © 1984 by ASME
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