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Issue 19, 2018
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A review of Winkler's foundation and its profound influence on adhesion and soft matter applications

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Abstract

Few advanced mechanics of materials solutions have found broader and more enduring applications than Emil Winkler's beam on elastic foundation analysis, first published in 1867. Now, 150 years after its introduction, this concept continues to enjoy widespread use in its original application field of civil engineering, and has also had a profound effect on the field of adhesion mechanics, including for soft matter adhesion phenomena. A review of the model is presented with a focus on applications to adhesion science, highlighting classical works that utilize the model as well as recent usages that extend its scope. The special case of the behavior of plates on incompressible (e.g., elastomeric and viscous liquid) foundations is reviewed because of the significant relevance to the behavior of soft matter interlayers between one or more flexible adherends.

Graphical abstract: A review of Winkler's foundation and its profound influence on adhesion and soft matter applications

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Publication details

The article was received on 19 Oct 2017, accepted on 10 Apr 2018 and first published on 10 Apr 2018


Article type: Review Article
DOI: 10.1039/C7SM02062G
Citation: Soft Matter, 2018,14, 3669-3683
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    A review of Winkler's foundation and its profound influence on adhesion and soft matter applications

    D. A. Dillard, B. Mukherjee, P. Karnal, R. C. Batra and J. Frechette, Soft Matter, 2018, 14, 3669
    DOI: 10.1039/C7SM02062G

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