Loading...
Please wait, while we are loading the content...
Similar Documents
Solitary waves in a magneto-electro-elastic circular rod
| Content Provider | Semantic Scholar |
|---|---|
| Author | Xue, Chun Xia Pan, Ernian Zhang, Shu Yan |
| Copyright Year | 2011 |
| Abstract | A simple nonlinear model is proposed in this paper to study the solitary wave in a circular magneto-electro-elastic rod. Based on the constitutive relation for transversely isotropic piezoelectric and piezomagnetic materials, combined with the differential equations of motion, we derive the longitudinal wave motion equation in a long circular rod. The nonlinearity considered is geometrically associated with the nonlinear normal strain in the longitudinal rod direction and the transverse Poisson's effect is included by introducing the effective Poisson's ratio. The nonlinear solitary wave equation is solved by the Jacobi elliptic function expansion method and numerical examples demonstrate not only the existence of such a wave but also some interesting characteristics of the solitary wave in the rod made of different multiphase coupled materials. |
| Starting Page | 105010 |
| Ending Page | 105010 |
| Page Count | 1 |
| File Format | PDF HTM / HTML |
| DOI | 10.1088/0964-1726/20/10/105010 |
| Volume Number | 20 |
| Alternate Webpage(s) | http://blogs.uakron.edu/ernianpan/files/2014/09/207-2011-SMS-XuePanZhang.pdf |
| Alternate Webpage(s) | https://doi.org/10.1088/0964-1726%2F20%2F10%2F105010 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |