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Dispersion of elastic waves in the contact–impact problem of a long cylinder

✍ Scribed by D. Gabriel; J. Plešek; R. Kolman; F. Valeš


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
414 KB
Volume
234
Category
Article
ISSN
0377-0427

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✦ Synopsis


Numerical dispersion of two-dimensional finite elements was studied. The outcome of the dispersion study was verified by the numerical and analytical solutions to the longitudinal impact of two long cylindrical bars. In accordance with the results of the dispersion analysis it was demonstrated that the quadratic elements showed better accuracy than the linear ones.


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This paper contains an analysis of the interaction of longitudinal waves with a penny-shaped crack located in an infinitely long elastic cyclinder. The problem is reduced to a Fredholm integral equation of the second kind which is solved numerically for a range of values of the frequency of the inci