We propose a mathematical model for propagation of the long nonlinearly elastic longitudinal strain waves in a bar, which contains nanoscale structural inclusions. The model is governed by a nonlinear doubly dispersive equation (DDE) with respect to the one unknown longitudinal strain function. We obtained the travelling wave solutions to DDE, and, in particular, the strain solitary wave solution, which was shown to be significantly affected by parameters of the inclusions. Moreover we found some critical inaccuracies, committed in papers by others in the derivation of a constitutive equation for the long strain waves in a microstructured medium, revised them, and showed an importance of improvements for correct estimation of wave parameters.
CITATION STYLE
Gula, I. A., & Samsonov, A. M. (2018). Bulk nonlinear elastic strain waves in a bar with nanosize inclusions. In Advanced Structured Materials (Vol. 89, pp. 395–416). Springer Verlag. https://doi.org/10.1007/978-3-319-72440-9_21
Mendeley helps you to discover research relevant for your work.