Abstract
In this work, the wave propagation problem in one - dimensional finite medium is investigated in the context of nonlocal continuum mechanics. The main purpose of the paper is to demonstrate the end effects. Numerical solutions are obtained by the finite difference method. Furthermore, the differences between the nonlocal infinite and nonlocal finite cases are shown. It is observed that the velocity of the propagating waves is slowing down and the amplitude is decreasing due to the end effects.
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References
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Özer, A.Ö., İnan, E. (2006). ONE - DIMENSIONAL WAVE PROPAGATION PROBLEM IN A NONLOCAL FINITE MEDIUM WITH FINITE DIFFERENCE METHOD. In: İnan, E., Kırış, A. (eds) Vibration Problems ICOVP 2005. Springer Proceedings in Physics, vol 111. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5401-3_53
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DOI: https://doi.org/10.1007/978-1-4020-5401-3_53
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-5400-6
Online ISBN: 978-1-4020-5401-3
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