粘接在厚度有限的预应力顺应基底上的刚性薄膜的皱褶。

IF 1.3 4区教育学 Q2 EDUCATION & EDUCATIONAL RESEARCH

Teachers College Record Pub Date : 2016-08-01 DOI:10.1098/rspa.2016.0339

Yinji Ma, Yeguang Xue, Kyung-In Jang, Xue Feng, John A Rogers, Yonggang Huang

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引用次数: 0

摘要

在释放预应变时，粘结在预应变顺应基底上的硬薄膜会皱成正弦曲线。许多为起皱临界预应变开发的分析模型都假定基底是半无限的。这个临界预应变实际上比有限厚度基底的临界预应变小得多（Ma Y 等人，2016 Adv.Funct.Mater.(doi:10.1002/adfm.201600713)).我们得到了刚性薄膜与预应变、有限厚度、顺应性基底粘合系统临界预应变的解析解，它与有限元分析结果非常吻合。当基底的拉伸刚度不能压倒薄膜的拉伸刚度时，有限厚度的影响是显著的。

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Wrinkling of a stiff thin film bonded to a pre-strained, compliant substrate with finite thickness.

A stiff thin film bonded to a pre-strained, compliant substrate wrinkles into a sinusoidal form upon release of the pre-strain. Many analytical models developed for the critical pre-strain for wrinkling assume that the substrate is semi-infinite. This critical pre-strain is actually much smaller than that for a substrate with finite thickness (Ma Y et al. 2016 Adv. Funct. Mater. (doi:10.1002/adfm.201600713)). An analytical solution of the critical pre-strain for a system of a stiff film bonded to a pre-strained, finite-thickness, compliant substrate is obtained, and it agrees well with the finite-element analysis. The finite-thickness effect is significant when the substrate tensile stiffness cannot overwhelm the film tensile stiffness.

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来源期刊

Teachers College Record EDUCATION & EDUCATIONAL RESEARCH-

CiteScore

3.20

自引率

0.00%

发文量

期刊介绍： Teachers College Record (TCR) publishes the very best scholarship in all areas of the field of education. Major articles include research, analysis, and commentary covering the full range of contemporary issues in education, education policy, and the history of education. The book section contains essay reviews of new books in a specific area as well as reviews of individual books. TCR takes a deliberately expansive view of education to keep readers informed of the study of education worldwide, both inside and outside of the classroom and across the lifespan.