تقرير
On form invariance of the Kirchhoff-Love plate equation
| العنوان: | On form invariance of the Kirchhoff-Love plate equation |
|---|---|
| المؤلفون: | Pomot, Lucas, Bourgeois, Stephane, Payan, Cedric, Remillieux, Marcel, Guenneau, Sebastien |
| سنة النشر: | 2018 |
| المجموعة: | Physics (Other) |
| مصطلحات موضوعية: | Physics - Computational Physics, Physics - Classical Physics |
| الوصف: | We propose an alternative approach called backward transformation for the design of platonic cloaks, without resorting to in-plane body forces and pre-stresses, which can lead to unphysical features. It is shown that the Kirchhoff-Love equation for an anisotropic heterogeneous plate is actually form invariant for a class of transformations with a vanishing Hessian. This formalism is detailed and numerically validated with three-dimensional simulations in the time domain. Results published in the literature fall in the class of transformations proposed here. Comment: 5 pages, 5 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1901.00067 |
| رقم الأكسشن: | edsarx.1901.00067 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |