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Updated: Jun 27, 2025

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Published on: April 4, 2017
Analysis of Experimental Biaxial Surface Wrinkling Pattern Based on Direct 3D Numerical Simulation
Seonho Seok1, HyungDal Park2, Jinseok Kim2
1Center for Nanoscience and Nanotechnology (C2N), Université Paris-Saclay, 91129 Palaiseau, France.
This study simulates biaxial surface wrinkling in thin metal films on compliant substrates. The wrinkling pattern, such as cylindrical or undulated, depends on the biaxiality ratio (BR), enabling experimental estimation of applied strain.
Area of Science:
- Materials Science
- Mechanical Engineering
- Computational Mechanics
Background:
- Thin metal films on compliant substrates can exhibit surface wrinkling under strain.
- Previous studies primarily focused on uniaxial or cylindrical wrinkling patterns.
- Understanding biaxial wrinkling is crucial for advanced material applications.
Purpose of the Study:
- To perform a direct 3D numerical simulation of biaxial surface wrinkling in thin gold films on a compliant substrate (Scotch tape).
- To investigate the influence of biaxial loading on wrinkling patterns.
- To establish a correlation between simulation results and experimental observations for strain estimation.
Main Methods:
- Direct 3D numerical simulation using finite element analysis.
- Modeling material imperfections in the compliant substrate to initiate wrinkling.
- Systematic variation of the biaxiality ratio (BR) to observe different wrinkling modes.
Main Results:
- The wrinkling mode is determined by the biaxiality ratio (BR).
- Cylindrical wrinkling dominates at BR < 0.5.
- Undulated (herringbone) patterns emerge at BR > 0.9, with checkerboard and labyrinth modes also observed.
- Simulation results closely matched experimental observations, allowing for applied BR estimation.
Conclusions:
- Biaxial loading leads to diverse wrinkling patterns (cylindrical, undulated, checkerboard, labyrinth) controlled by the biaxiality ratio.
- The developed numerical simulation accurately predicts wrinkling behavior.
- This approach provides a reliable method for estimating the applied biaxial strain in thin films based on observed wrinkling patterns.
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