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RESEARCH PAPERS

Longitudinal Strain Pulse Propagation in Wide Rectangular Bars: Part 1—Theoretical Considerations

[+] Author and Article Information
O. E. Jones

Hydrodynamics Laboratory, California Institute of Technology, Pasadena, Calif.

A. T. Ellis

California Institute of Technology, Pasadena, Calif.

J. Appl. Mech 30(1), 51-60 (Mar 01, 1963) (10 pages) doi:10.1115/1.3630105 History: Received June 12, 1961; Online September 16, 2011

Abstract

The propagation of a longitudinal elastic strain pulse in a wide rectangular bar is considered on the basis of approximate plane-stress equations of motion. Asymptotic expressions are obtained which, for large distances of travel, describe the pulse propagation in a semi-infinite strip with stress-free lateral edges, subject to the conditions that a uniform normal stress with a step-function time dependence is applied to the end and that the end is laterally constrained. Particular emphasis is given to describing the warping of plane sections during passage of the strain pulse.

Copyright © 1963 by ASME
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