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Shape of an elastica under growth restricted by friction.
- Source :
-
International Journal of Solids & Structures . Jan2019, Vol. 156, p137-147. 11p. - Publication Year :
- 2019
-
Abstract
- Abstract We investigate the quasi-static growth of elastic fibers in the presence of isotropic dry or viscous friction. An unusual form of destabilization beyond a critical length is described. In order to characterize this phenomenon, a new definition of stability against infinitesimal perturbations over finite time intervals is proposed and a semi-analytical method for the determination of the critical length is developed. The post-critical behavior of the system is studied by using an appropriate numerical scheme based on variational methods. We find post-critical shapes for uniformly distributed as well as for concentrated growth and demonstrate convergence to a figure 8 shape for large lengths when self-crossing is allowed. Comparison with simple physical experiments yields reasonable accuracy of the theoretical predictions. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CRYSTAL growth
*ISOTROPIC properties
*VISCOSITY
*FRICTION
*FIBERS
*ELASTICITY
Subjects
Details
- Language :
- English
- ISSN :
- 00207683
- Volume :
- 156
- Database :
- Academic Search Index
- Journal :
- International Journal of Solids & Structures
- Publication Type :
- Academic Journal
- Accession number :
- 133216299
- Full Text :
- https://doi.org/10.1016/j.ijsolstr.2018.08.009