Evidence map›Paper›PMID 41599587›Full record

ArticlePolymers2026

Numerical Investigation of Dynamic Wrinkling Behaviors in Stiff-Film/PDMS-Substrate Structure.

Haohao Bi, Wenjie Li, Liuyun Wang, Bo Wang

Abstract read
In one paragraph

Article in Polymers, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

0numbers the graph read from it
0cells of the map it votes in
0citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

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Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Haohao BiSchool of Science, Qingdao University of Technology, Qingdao 266520, China.
Wenjie LiSchool of Science, Qingdao University of Technology, Qingdao 266520, China.ORCID 0009-0004-6263-9149
Liuyun WangSchool of Science, Qingdao University of Technology, Qingdao 266520, China.
Bo WangDepartment of Engineering Mechanics, Northwestern Polytechnical University, Xi'an 710072, China.

Funding

National Natural Science Foundation of China 12402002Natural Science Foundation of Qingdao 24-4-4-zrjj-7-jchNatural Science Foundation of Shandong Province ZR2024QA062
6 · The paper itself

Abstract

Thin film/substrate structures based on the principle of buckling mechanics exhibit both excellent stretchability and mechanical stability, and they have been recognized as a critical configuration in the design of flexible electronic devices. During application, flexible electronic devices are usually subjected to complex dynamic environments. Therefore, it is of great significance to investigate the dynamic behavior of thin film/substrate structures for the design of flexible electronic devices. The bending energy, membrane energy, and kinetic energy of the thin film and the elastic energy of the substrate were calculated. On this basis, the dynamic equation of the thin film/substrate structure with a checkerboard wrinkled pattern was derived by applying the principle of minimum energy combined with the Lagrangian function. Numerical simulations were conducted on the system to analyze the effect of pre-strain and the Young's modulus of substrate on the system's potential energy function, simulate the temporal response of the system's dynamic behavior, and investigate the influences of pre-strain and the Young's modulus of substrate on system stability and the chaos critical value. Theoretical support is expected to be provided for the design of two-dimensional (2D) thin film/substrate structures through this research.

Indexed as

checkerboard wrinkling modedynamic behaviorspolydimethylsiloxane substrate

Identifiers

PMID41599587
PMCPMC12845712

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.