Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Transient response of an impulsively loaded plastic string on a plastic foundation

Authors: M. Mihăilescu-Suliciu, I. Suliciu, T. Wierzbicki and M. S. Hoo Fatt
Journal: Quart. Appl. Math. 54 (1996), 327-343
MSC: Primary 73E50; Secondary 73K03
DOI: https://doi.org/10.1090/qam/1388020
MathSciNet review: MR1388020
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Abstract: The problem of an impulsive loading of a long rigid-plastic string resting on a rigid-plastic foundation is studied. A closed form solution is obtained by disregarding the longitudinal motion and considering an arbitrarily large transversal motion. Expressions for the final shape of the string are derived in terms of the magnitude of the applied impulse. It is found that the stress and the foundation reaction force are not uniquely determined, while the shape of the string is.

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DOI: https://doi.org/10.1090/qam/1388020
Article copyright: © Copyright 1996 American Mathematical Society

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