Loading…
Longitudinal bulk strain solitons in a hyperelastic rod with quadratic and cubic nonlinearities
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 f...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Default Article |
| Published: |
2020
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/2134/10043207.v1 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1818167987120635904 |
|---|---|
| author | FE Garbuzov YM Beltukov Karima Khusnutdinova |
| author_facet | FE Garbuzov YM Beltukov Karima Khusnutdinova |
| author_sort | FE Garbuzov (7541630) |
| collection | Figshare |
| description | 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. |
| format | Default Article |
| id | rr-article-10043207 |
| institution | Loughborough University |
| publishDate | 2020 |
| record_format | Figshare |
| spelling | rr-article-100432072020-04-06T00:00:00Z Longitudinal bulk strain solitons in a hyperelastic rod with quadratic and cubic nonlinearities FE Garbuzov (7541630) YM Beltukov (7541633) Karima Khusnutdinova (1247967) Mathematical Physics Mathematical Sciences Physical Sciences Hyperelastic rod Korteweg - de Vries - type equation Near-identity transformation Soliton 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. 2020-04-06T00:00:00Z Text Journal contribution 2134/10043207.v1 https://figshare.com/articles/journal_contribution/Longitudinal_bulk_strain_solitons_in_a_hyperelastic_rod_with_quadratic_and_cubic_nonlinearities/10043207 CC BY-NC-ND 4.0 |
| spellingShingle | Mathematical Physics Mathematical Sciences Physical Sciences Hyperelastic rod Korteweg - de Vries - type equation Near-identity transformation Soliton FE Garbuzov YM Beltukov Karima Khusnutdinova Longitudinal bulk strain solitons in a hyperelastic rod with quadratic and cubic nonlinearities |
| title | Longitudinal bulk strain solitons in a hyperelastic rod with quadratic and cubic nonlinearities |
| title_full | Longitudinal bulk strain solitons in a hyperelastic rod with quadratic and cubic nonlinearities |
| title_fullStr | Longitudinal bulk strain solitons in a hyperelastic rod with quadratic and cubic nonlinearities |
| title_full_unstemmed | Longitudinal bulk strain solitons in a hyperelastic rod with quadratic and cubic nonlinearities |
| title_short | Longitudinal bulk strain solitons in a hyperelastic rod with quadratic and cubic nonlinearities |
| title_sort | longitudinal bulk strain solitons in a hyperelastic rod with quadratic and cubic nonlinearities |
| topic | Mathematical Physics Mathematical Sciences Physical Sciences Hyperelastic rod Korteweg - de Vries - type equation Near-identity transformation Soliton |
| url | https://hdl.handle.net/2134/10043207.v1 |