Buckling of a stiff thin film on a pre-strained bi-layer substrate
Huanyu Cheng, Yihui Zhang, Keh Chih Hwang, John A. Rogers, Yonggang Huang*
Controlled buckling can impart stretchable mechanics to brittle materials when integrated as thin films on soft, elastomeric substrates. Typical elastomers are permeable to fluids, however, and therefor unable to provide robust barriers to entry of water, for instance, into devices built with the supported thin films. In addition, the mechanical strength of a system dominated by a soft substrate is often unsatisfactory for realistic applications. We show that introduction of a bi-layer substrate yields a robust, high strength system that maintains stretchable characteristics, with a soft layer on top of a relatively stiff layer in the substrate. As a mechanical protection, a soft encapsulation layer can be used on top of the device and the stretchability of the encapsulated system is smaller than that of the system without encapsulation. A simple, analytic model, validated by numerical analysis and FEA, is established for stiff thin films on a bi-layer substrate, and is useful to the design of stretchable systems.
International Journal of Solids and Structures
https://doi.org/10.1016/j.ijsolstr.2014.05.012
Bi-layer substrate
Buckling analysis
Pre-strain
Stretchable electronics
10.1016/j.ijsolstr.2014.05.012
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Thin Films Mathematics
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Substrates Chemical Compounds
Encapsulation Mathematics
thin films Physics & Astronomy
Cheng, H., Zhang, Y., Hwang, K. C., Rogers, J. A., & Huang, Y. (2014). Buckling of a stiff thin film on a pre-strained bi-layer substrate. International Journal of Solids and Structures, 51(18), 3113-3118. https://doi.org/10.1016/j.ijsolstr.2014.05.012
Cheng, Huanyu ; Zhang, Yihui ; Hwang, Keh Chih ; Rogers, John A. ; Huang, Yonggang. / Buckling of a stiff thin film on a pre-strained bi-layer substrate. In: International Journal of Solids and Structures. 2014 ; Vol. 51, No. 18. pp. 3113-3118.
@article{befdd90a9ac34d92b7be660f797aad71,
title = "Buckling of a stiff thin film on a pre-strained bi-layer substrate",
abstract = "Controlled buckling can impart stretchable mechanics to brittle materials when integrated as thin films on soft, elastomeric substrates. Typical elastomers are permeable to fluids, however, and therefor unable to provide robust barriers to entry of water, for instance, into devices built with the supported thin films. In addition, the mechanical strength of a system dominated by a soft substrate is often unsatisfactory for realistic applications. We show that introduction of a bi-layer substrate yields a robust, high strength system that maintains stretchable characteristics, with a soft layer on top of a relatively stiff layer in the substrate. As a mechanical protection, a soft encapsulation layer can be used on top of the device and the stretchability of the encapsulated system is smaller than that of the system without encapsulation. A simple, analytic model, validated by numerical analysis and FEA, is established for stiff thin films on a bi-layer substrate, and is useful to the design of stretchable systems.",
keywords = "Bi-layer substrate, Buckling analysis, Pre-strain, Stretchable electronics",
author = "Huanyu Cheng and Yihui Zhang and Hwang, {Keh Chih} and Rogers, {John A.} and Yonggang Huang",
note = "Funding Information: Huanyu Cheng is a Howard Hughes Medical Institute International Student Research fellow. The supports from NSF ( DMR-1242240 ) and NSFC are acknowledged. ",
doi = "10.1016/j.ijsolstr.2014.05.012",
journal = "International Journal of Solids and Structures",
Cheng, H, Zhang, Y, Hwang, KC, Rogers, JA & Huang, Y 2014, 'Buckling of a stiff thin film on a pre-strained bi-layer substrate', International Journal of Solids and Structures, vol. 51, no. 18, pp. 3113-3118. https://doi.org/10.1016/j.ijsolstr.2014.05.012
Buckling of a stiff thin film on a pre-strained bi-layer substrate. / Cheng, Huanyu; Zhang, Yihui; Hwang, Keh Chih; Rogers, John A.; Huang, Yonggang.
In: International Journal of Solids and Structures, Vol. 51, No. 18, 09.2014, p. 3113-3118.
T1 - Buckling of a stiff thin film on a pre-strained bi-layer substrate
AU - Cheng, Huanyu
AU - Zhang, Yihui
AU - Hwang, Keh Chih
AU - Rogers, John A.
AU - Huang, Yonggang
N1 - Funding Information: Huanyu Cheng is a Howard Hughes Medical Institute International Student Research fellow. The supports from NSF ( DMR-1242240 ) and NSFC are acknowledged.
N2 - Controlled buckling can impart stretchable mechanics to brittle materials when integrated as thin films on soft, elastomeric substrates. Typical elastomers are permeable to fluids, however, and therefor unable to provide robust barriers to entry of water, for instance, into devices built with the supported thin films. In addition, the mechanical strength of a system dominated by a soft substrate is often unsatisfactory for realistic applications. We show that introduction of a bi-layer substrate yields a robust, high strength system that maintains stretchable characteristics, with a soft layer on top of a relatively stiff layer in the substrate. As a mechanical protection, a soft encapsulation layer can be used on top of the device and the stretchability of the encapsulated system is smaller than that of the system without encapsulation. A simple, analytic model, validated by numerical analysis and FEA, is established for stiff thin films on a bi-layer substrate, and is useful to the design of stretchable systems.
AB - Controlled buckling can impart stretchable mechanics to brittle materials when integrated as thin films on soft, elastomeric substrates. Typical elastomers are permeable to fluids, however, and therefor unable to provide robust barriers to entry of water, for instance, into devices built with the supported thin films. In addition, the mechanical strength of a system dominated by a soft substrate is often unsatisfactory for realistic applications. We show that introduction of a bi-layer substrate yields a robust, high strength system that maintains stretchable characteristics, with a soft layer on top of a relatively stiff layer in the substrate. As a mechanical protection, a soft encapsulation layer can be used on top of the device and the stretchability of the encapsulated system is smaller than that of the system without encapsulation. A simple, analytic model, validated by numerical analysis and FEA, is established for stiff thin films on a bi-layer substrate, and is useful to the design of stretchable systems.
KW - Bi-layer substrate
KW - Buckling analysis
KW - Pre-strain
KW - Stretchable electronics
U2 - 10.1016/j.ijsolstr.2014.05.012
DO - 10.1016/j.ijsolstr.2014.05.012
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
Cheng H, Zhang Y, Hwang KC, Rogers JA, Huang Y. Buckling of a stiff thin film on a pre-strained bi-layer substrate. International Journal of Solids and Structures. 2014 Sep;51(18):3113-3118. https://doi.org/10.1016/j.ijsolstr.2014.05.012