Longitudinal bulk strain solitons in a hyperelastic rod with quadratic and cubic nonlinearities
2020
In this paper we study nonlinear longitudinal bulk strain waves in a
hyperelastic rod of circular cross section within the scope of the general
weakly-nonlinear model with quadratic and cubic nonlinearities. We derive the
extended Boussinesq and Korteweg - de Vries - type equations and construct a
family of approximate weakly-nonlinear soliton solutions with the help of the
near-identity transformations. These solutions are compared with the results of
direct numerical simulations of the original fully nonlinear problem
formulation.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
46
References
0
Citations
NaN
KQI