An experimental verification of the one-dimensional static Willis-form equations
| Autor: | Yao, R. W., Gao, H. X., Sun, Y. X., Yuan, X. D., Xiang, Z. H. |
|---|---|
| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | International Journal of Solids and Structures, 134(1), 2018: 283-292 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.ijsolstr.2017.06.005 |
| Popis: | This paper investigates the behavior of a heavy soft spring in steady circular motion. Since the spring is inhomogeneous due to centrifugal force, one can rigorously prove that it follows the one-dimensional static Willis-form equations. The theoretical predictions agree very well with experimental results. It further demonstrates that these equations can give a clear understanding of the stress-stiffening and spin-softening effect. These findings reveal that the Willis-form equations can give very accurate linear approximations of finite deformation problems and are also helpful to clarify the classical concept of the principle of material frame indifference. Comment: 35 pages, 13 figures |
| Databáze: | arXiv |
| Externí odkaz: |
|