2018/06/18 by Marcell Horváth, Marcell G. Horváth, András Á. Sipos +4
Engineering · Materials Science · Physics and Astronomy · #Advanced Materials and Mechanics #Applied Physics (physics.app-ph) #FOS: Physical sciences #Structural Analysis and Optimization #Textile materials and evaluations #physics.app-ph
paper · pdf · doi:10.48550/arxiv.1806.06968
arxiv created 2018/06/18 · openalex publication_date 2018/06/18 · arxiv updated 2018/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the quasi-static growth of elastic fibers in the presence of 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.