Adhesion-induced roof collapse of a rectangular micro-groove under applied pressure

In soft lithography roof collapse is frequently observed on the stamp surface consisting of rectangular micro-grooves which yields unwanted contact between the sagged surface and the substrate. Deep understanding of the adhesive contact behavior is a key to design of high-performance collapse-resist...

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Main Authors: Fan Jin, Jiayao Hu, Fan Xia, Zhigeng Fan
Format: Article
Language:English
Published: Taylor & Francis Group 2025-01-01
Series:International Journal of Smart and Nano Materials
Subjects:
Online Access:https://www.tandfonline.com/doi/10.1080/19475411.2025.2450728
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author Fan Jin
Jiayao Hu
Fan Xia
Zhigeng Fan
author_facet Fan Jin
Jiayao Hu
Fan Xia
Zhigeng Fan
author_sort Fan Jin
collection DOAJ
description In soft lithography roof collapse is frequently observed on the stamp surface consisting of rectangular micro-grooves which yields unwanted contact between the sagged surface and the substrate. Deep understanding of the adhesive contact behavior is a key to design of high-performance collapse-resistant stamp. Both theoretical and numerical studies are presented for a single rectangular micro-groove in the middle of the stamp surface under applied pressure. The JKR-type adhesion solution is established by the principle of superposition and equivalent energy release rate, with a series of closed-form expressions derived which are consistent with previous studies. Finite element analysis (FEA) is performed based on virtual crack closure technique (VCCT) to investigate the roof collapse mechanism with interfacial adhesion and applied pressure considered. Comparison of theoretical, numerical, and experimental results demonstrates that both size effect and constitutive nonlinearity of the stamp on the self-collapse contact width are not obvious for shallow grooves but become prominent for deep grooves, so that the obtained analytical solution is limited to shallow grooves due to its assumptions of half-plane and linear elasticity adopted for the stamp. For deep grooves, the present FEA method shows potential to capture more accurate results.
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institution Kabale University
issn 1947-5411
1947-542X
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publishDate 2025-01-01
publisher Taylor & Francis Group
record_format Article
series International Journal of Smart and Nano Materials
spelling doaj-art-f92159ead42a4cba9459751690c8e5482025-01-17T06:22:07ZengTaylor & Francis GroupInternational Journal of Smart and Nano Materials1947-54111947-542X2025-01-0111810.1080/19475411.2025.2450728Adhesion-induced roof collapse of a rectangular micro-groove under applied pressureFan Jin0Jiayao Hu1Fan Xia2Zhigeng Fan3Institute of Systems Engineering, China Academy of Engineering Physics, Mianyang, Sichuan, PR ChinaInstitute of Systems Engineering, China Academy of Engineering Physics, Mianyang, Sichuan, PR ChinaInstitute of Systems Engineering, China Academy of Engineering Physics, Mianyang, Sichuan, PR ChinaInstitute of Systems Engineering, China Academy of Engineering Physics, Mianyang, Sichuan, PR ChinaIn soft lithography roof collapse is frequently observed on the stamp surface consisting of rectangular micro-grooves which yields unwanted contact between the sagged surface and the substrate. Deep understanding of the adhesive contact behavior is a key to design of high-performance collapse-resistant stamp. Both theoretical and numerical studies are presented for a single rectangular micro-groove in the middle of the stamp surface under applied pressure. The JKR-type adhesion solution is established by the principle of superposition and equivalent energy release rate, with a series of closed-form expressions derived which are consistent with previous studies. Finite element analysis (FEA) is performed based on virtual crack closure technique (VCCT) to investigate the roof collapse mechanism with interfacial adhesion and applied pressure considered. Comparison of theoretical, numerical, and experimental results demonstrates that both size effect and constitutive nonlinearity of the stamp on the self-collapse contact width are not obvious for shallow grooves but become prominent for deep grooves, so that the obtained analytical solution is limited to shallow grooves due to its assumptions of half-plane and linear elasticity adopted for the stamp. For deep grooves, the present FEA method shows potential to capture more accurate results.https://www.tandfonline.com/doi/10.1080/19475411.2025.2450728Adhesive contactJKRgroovestamp collapsesize effect
spellingShingle Fan Jin
Jiayao Hu
Fan Xia
Zhigeng Fan
Adhesion-induced roof collapse of a rectangular micro-groove under applied pressure
International Journal of Smart and Nano Materials
Adhesive contact
JKR
groove
stamp collapse
size effect
title Adhesion-induced roof collapse of a rectangular micro-groove under applied pressure
title_full Adhesion-induced roof collapse of a rectangular micro-groove under applied pressure
title_fullStr Adhesion-induced roof collapse of a rectangular micro-groove under applied pressure
title_full_unstemmed Adhesion-induced roof collapse of a rectangular micro-groove under applied pressure
title_short Adhesion-induced roof collapse of a rectangular micro-groove under applied pressure
title_sort adhesion induced roof collapse of a rectangular micro groove under applied pressure
topic Adhesive contact
JKR
groove
stamp collapse
size effect
url https://www.tandfonline.com/doi/10.1080/19475411.2025.2450728
work_keys_str_mv AT fanjin adhesioninducedroofcollapseofarectangularmicrogrooveunderappliedpressure
AT jiayaohu adhesioninducedroofcollapseofarectangularmicrogrooveunderappliedpressure
AT fanxia adhesioninducedroofcollapseofarectangularmicrogrooveunderappliedpressure
AT zhigengfan adhesioninducedroofcollapseofarectangularmicrogrooveunderappliedpressure