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Buckling of sheared and compressed microfibrils.
Nichole Nadermann1, Ajeet Kumar, Sachin Goyal
1Department of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853, USA.
This study reveals that applying shear displacement to elastic fibrils significantly reduces their buckling load below the Euler buckling load. Fibril adhesion loss further decreases this critical load, impacting microfibre array friction.
Area of Science:
- Solid mechanics
- Materials science
- Biomechanics
Background:
- Elastic fibrils are fundamental structural components in various biological and engineered systems.
- Understanding the mechanical stability of fibrils under combined loading is crucial for predicting their behavior and failure modes.
Purpose of the Study:
- To investigate the buckling stability of an elastic fibril subjected to normal compressive force and shear displacement.
- To analyze the influence of end adhesion on the fibril's buckling load.
Main Methods:
- Analytical modeling of a clamped elastic fibril under combined normal and shear loads.
- Calculation of the critical buckling load.
Main Results:
- The buckling load of a sheared fibril is consistently lower than the Euler buckling load.
- Loss of end adhesion can substantially reduce the buckling load.
- Static friction in microfibre arrays may decrease with increased normal load, potentially leading to negative friction forces.
Conclusions:
- Shear forces significantly destabilize elastic fibrils, reducing their load-bearing capacity.
- Fibril adhesion plays a critical role in mechanical stability.
- The findings have implications for understanding friction in microscale systems and designing robust fibrillar structures.
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