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The origin of compression influences geometric instabilities in bilayers
Sebastian Andres1, Paul Steinmann1,2, Silvia Budday1
1Chair of Applied Mechanics, University of Erlangen-Nürnberg, Erlangen, Bayern, Germany.
Proceedings. Mathematical, Physical, and Engineering Sciences
|October 19, 2018
Summary
The origin of compression significantly impacts geometric instabilities in bilayered structures, affecting critical buckling conditions and post-buckling patterns. Understanding this is key for engineering surfaces and diagnosing disorders.
Area of Science:
- Materials Science
- Solid Mechanics
- Surface Engineering
Background:
- Geometric instabilities in bilayered structures govern surface morphology in diverse biological and technical systems.
- Compressive stresses in bilayers arise from various mechanisms, but their specific impact on instability evolution is not fully understood.
Purpose of the Study:
- To numerically investigate how different origins of compression influence critical conditions, post-buckling behavior, and pattern selection in bilayered systems.
- To systematically analyze four primary compression origins: film growth, substrate shrinkage, and whole-domain compression (with and without pre-stretch).
Main Methods:
- Utilized a finite-element setup for numerical simulations.
- Systematically varied factors contributing to pattern selection under different compression origins.
Main Results:
- The origin of compression dictates the substrate stretch state at primary instability, significantly altering critical buckling conditions.
- Different compression origins lead to distinct post-buckling evolutions and secondary instability patterns.
Conclusions:
- The origin of compression is a critical factor that must be included in phase diagrams of geometric instabilities, alongside film thickness.
- A comprehensive understanding of compression origins is vital for applications like smart surface engineering and understanding neuronal disorders.
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