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Spatial chaos as a governing factor for imperfection sensitivity in shell buckling
Rainer M J Groh1, Alberto Pirrera1
1Bristol Composites Institute (ACCIS), Department of Aerospace Engineering, University of Bristol, Bristol BS8 1TR, United Kingdom.
Physical Review. E
|October 24, 2019
Summary
Shell buckling is highly sensitive to imperfections due to spatial chaos. Introducing a dominant imperfection can significantly reduce this sensitivity, enabling the design of more robust shells.
Area of Science:
- Solid Mechanics
- Structural Engineering
- Materials Science
Background:
- Shell buckling is notoriously sensitive to initial geometric imperfections.
- This sensitivity is often attributed to unstable buckling modes that amplify imperfections.
- The role of subcriticality in promoting spatially localized buckling modes is less understood.
Purpose of the Study:
- To investigate the phenomenon of spatial chaos in shell buckling.
- To demonstrate how spatial chaos leads to a wide variation in buckling loads.
- To explore methods for mitigating imperfection sensitivity in shell design.
Main Methods:
- Utilized a simplified 'toy model' – a link system on a softening elastic foundation.
- Analyzed the system's response to various initial imperfections, including random and dominant ones.
- Examined the concept of spatial chaos and its relationship to buckling trajectories.
Main Results:
- Spatial chaos results in a broad distribution of buckling loads for similar imperfections.
- A dominant initial imperfection can steer the buckling trajectory, reducing sensitivity to random imperfections.
- The study highlights the complex interplay between imperfections, spatial chaos, and buckling behavior.
Conclusions:
- Subcriticality in shell buckling fosters spatial chaos, leading to unpredictable instability.
- Controlling buckling trajectories through dominant imperfections or material tailoring can enhance shell robustness.
- Findings offer new avenues for designing imperfection-insensitive shells.
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