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The equivalent medium of cellular substrate under large stretching, with applications to stretchable electronics
Hang Chen1,2,3, Feng Zhu4,3, Kyung-In Jang5
1Department of Engineering Mechanics; Center for Mechanics and Materials, Tsinghua University, Beijing, 100084, China.
Journal of the Mechanics and Physics of Solids
|August 25, 2018
Summary
Developing stretchable electronics requires understanding cellular substrates. This study models these substrates to provide a simple, conservative estimate for stretchability in bio-integrated implants.
Area of Science:
- Materials Science
- Mechanical Engineering
- Biomedical Engineering
Background:
- Stretchable electronic systems require open, cellular substrates to minimize bio-fluid disruption in implants.
- Determining the stretchability of these systems is challenging due to complex interconnect alignment within the substrate.
Purpose of the Study:
- To establish an analytic constitutive model for cellular substrates under finite deformation.
- To provide a reliable method for estimating the stretchability of stretchable electronics utilizing cellular substrates.
Main Methods:
- Development of an analytic constitutive model for an equivalent medium representing the cellular substrate.
- Finite deformation analysis of the cellular substrate model.
Main Results:
- The model demonstrates that the stretchability of a serpentine interconnect bonded to the equivalent medium provides a lower-bound estimate.
- This lower-bound estimate is valid for various bonding alignments and positions on the actual cellular substrate.
Conclusions:
- The developed model offers a simple and conservative engineering design rule for stretchable electronics.
- This approach aids in the design of advanced bio-integrated implants with improved stretchability and minimal bio-fluid disruption.
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