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Surface wrinkling of an elastic graded layer
Zhou Chen1, Xiaofei Zhang, Jizhou Song
1Department of Engineering Mechanics, Soft Matter Research Center, and Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Zhejiang University, Hangzhou 310027, China. jzsong@zju.edu.cn.
Soft Matter
|October 26, 2018
Summary
This study investigates surface wrinkling in elastic graded materials, revealing complex morphology transitions. Findings offer insights into how material inhomogeneity affects surface instabilities in graded elastic layers.
Area of Science:
- Materials Science
- Solid Mechanics
- Surface Physics
Background:
- Surface instabilities like wrinkling are well-studied in homogeneous materials and film/substrate systems.
- Research on surface wrinkling in elastic graded materials remains less explored.
- Material inhomogeneity significantly influences surface behavior and instability phenomena.
Purpose of the Study:
- To theoretically, numerically, and experimentally investigate surface wrinkling in elastic graded layers.
- To establish a theoretical model for the onset of surface wrinkling.
- To analyze the influence of layer thickness and material properties on wrinkling.
Main Methods:
- Development of a theoretical model for sinusoidal wrinkling onset.
- Finite Element Analysis (FEA) for elastic graded layers with exponentially decaying modulus.
- Experimental observations to validate numerical and theoretical predictions.
Main Results:
- The theoretical model accurately predicts critical wrinkling strain and wavelength, validated by FEA.
- FEA reveals morphology evolution from sinusoidal to arch, period-doubling, crease, and folding modes.
- Quantitative agreement between FEA morphology evolution and experimental observations.
Conclusions:
- Material inhomogeneity plays a crucial role in the onset and evolution of surface instabilities.
- The study provides a comprehensive understanding of surface wrinkling in elastic graded materials.
- Results offer valuable physical insights for designing and predicting behavior in inhomogeneous elastic systems.
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