Transient Analysis of Stress-Wave Penetration in Plates

Author:

Davids Norman1

Affiliation:

1. Department of Engineering Mechanics, The Pennsylvania State University, University Park, Pa.

Abstract

Abstract This paper carries out an analysis of the propagation of a transient stress pulse concentrated at a point on the boundary of a plate whose thickness is of the order of a wave length. It is based on an expansion method used by Caignard in geophysical-layer problems which obviates the contour-integration difficulties and whose terms represent successively reflected waves of increasing time delay. From the general formulas obtained in this paper for an arbitrary forcing function, the stress versus time distribution along the axis of a 1-in-thick aluminum plate is obtained for a 5-microsec exponentially decaying pressure pulse. Inside the plate it is found there is a compressed zone which is relieved by a negative front traveling with the distortional wave velocity. When this interferes with a certain reflected negative front, the stress reverses in sign. A comparison of the location of this reversal is made with those based on plane-wave assumptions. Limiting cases are discussed.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. An Asymptotic Approach for the Elastodynamic Problem of a Plate under Impact Loading;Advances in Acoustics and Vibration;2010-04-18

2. General Three-Dimensional Analysis of Transient Elastic Waves in a Multilayered Medium;Journal of Applied Mechanics;2005-07-28

3. Elastic Constant Determination Using Generation by Pulsed Laser;Review of Progress in Quantitative Nondestructive Evaluation;1988

4. Response of plates to transient sources;Journal of Sound and Vibration;1974-02

5. Zur Bemessung stoßbeanspruchter Stahlbetonfundamente;Theorie und Berechnung von Tragwerken;1974

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