1. An experimental verification of the one-dimensional static Willis-form equations
- Author
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Yao, R. W., Gao, H. X., Sun, Y. X., Yuan, X. D., and Xiang, Z. H.
- Subjects
Physics - Classical Physics ,74B10 (Primary), 74A20 (Secondary) - Abstract
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
- Published
- 2017
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