Evolution of instabilities in filament buckling processes

MONASTRA A.; CARUSELA M.F.; VAN DER VELDE G.; D'ANGELO V.; BRUNO L.

PHYSICAL REVIEW E - STATISTICAL PHYSICS, PLASMAS, FLUIDS AND RELATED INTERDISCIPLINARY TOPICS

APS

Año: 2019

1063-651X

In this work we study the dynamical buckling process of a thin filament immersed in a high viscous medium. We perform an experimental study to track the shape evolution of the filament during a constant velocity compression. Numerical simulations reproduce the dynamical features observed for the experimental data and allow quantifying the filament´s load. We observe that both the filament´s load and the wavenumber evolve in a step-wise manner. To achieve a physical insight of the process we apply a theoretical model to describe the buckling of a filament in a viscous medium. We solve a hydrodynamic equation in terms of normal modes for clamped-clamped boundary conditions and applied constant load. We find a good agreement with experimental data and simulations, suggesting that the proposed mechanistic model captures the essential features underlying the dynamical buckling process.