Abstract
The problem of longitudinal wave propagation in a rod made from an auxetic material is considered. It is shown that a negative Poisson’s ratio leads to a qualitatively different (anomalous) dispersion behavior of linear waves. Accounting for geometric and physical elastic nonlinearities leads to the possibility of generating in a rod of stationary strain waves of a substantially non-sinusoidal profile—solitons and their periodic analogues. By means of numerical simulation it is shown that qualitatively different scenarios of interaction of solitons depend on the relative collision velocity.
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Acknowledgement
The research was carried out under the financial support of the Russian Scientific Foundation (Project No. 14-19-01637).
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Erofeev, V.I., Kazhaev, V.V., Pavlov, I.S. (2019). Splitting of Strain Solitons upon Their Interaction in the Auxetic Rod. In: Matveenko, V., Krommer, M., Belyaev, A., Irschik, H. (eds) Dynamics and Control of Advanced Structures and Machines. Springer, Cham. https://doi.org/10.1007/978-3-319-90884-7_7
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DOI: https://doi.org/10.1007/978-3-319-90884-7_7
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