Böhmer, CG;
Lee, Y;
Neff, P;
(2019)
Soliton solutions in geometrically nonlinear Cosserat micropolar elasticity with large deformations.
Wave Motion
, 84
pp. 110-124.
10.1016/j.wavemoti.2018.10.005.
Preview |
Text
Boehmer_1-s2.0-S0165212518302208-main.pdf - Published Version Download (891kB) | Preview |
Abstract
We study the fully nonlinear dynamical Cosserat micropolar elasticity problem in three dimensions with various energy functionals dependent on the microrotation [Formula presented] and the deformation gradient tensor [Formula presented]. We derive a set of coupled nonlinear equations of motion from first principles by varying the complete energy functional. We obtain a double sine–Gordon equation and construct soliton solutions. We show how the solutions can determine the overall deformational behaviours and discuss the relations between wave numbers and wave velocities thereby identifying parameter values where the soliton solution does not exist.
| Type: | Article |
|---|---|
| Title: | Soliton solutions in geometrically nonlinear Cosserat micropolar elasticity with large deformations |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.wavemoti.2018.10.005 |
| Publisher version: | https://doi.org/10.1016/j.wavemoti.2018.10.005 |
| Language: | English |
| Additional information: | This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
| Keywords: | Cosserat continuum, Geometrically nonlinear micropolar elasticity, Soliton solutions |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10060103 |
Archive Staff Only
 |
View Item |
