Evolution of instabilities in filament buckling processes

Area of Science:

• Fluid Dynamics
• Materials Science
• Biophysics

Background:

• Thin filaments in viscous media are common in nature and engineering.
• Understanding their buckling behavior is crucial for predicting structural stability.
• Previous studies often focused on static or simplified dynamic scenarios.

Purpose of the Study:

• To investigate the dynamical buckling process of a thin filament in a highly viscous medium.
• To develop and validate a theoretical model for this phenomenon.
• To provide physical insight into the stepwise evolution of filament load and shape.

Main Methods:

• Experimental study involving constant velocity compression of a thin filament.
• Numerical simulations to replicate experimental observations and quantify filament load.
• Application of a theoretical hydrodynamic model solved using normal modes.

Main Results:

• Experimental tracking of filament shape evolution during compression.
• Observation of stepwise changes in both filament load and wave number.
• Good agreement between experimental data, numerical simulations, and the theoretical model.

Conclusions:

• The proposed mechanistic model accurately captures the essential features of dynamical buckling.
• The study provides a framework for understanding filament behavior under compression in viscous environments.
• This research has implications for fields ranging from microfluidics to soft robotics.