Wrinkling patterns of thin films under finite membrane strain

Fehér, Eszter and Sipos, András Árpád (2017) Wrinkling patterns of thin films under finite membrane strain. In: ENOC 2017 - 9th European Nonlinear Dynamics Conference, 2017.06.25-30, Budapest, Magyarország.


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There is a wide interest in understanding phenomena related to thin and ultrathin surfaces, such as wrinkling, cresting or folding. The classical Föppl-von Kármán plate theory is extensively used to model such phenomena. Significant in-plane strains demand the extension of the classical FvK model. The extended theory predicts the disappearance of wrinkling in the case of rectangular, clamped, stretched sheets, which was verified on thin, polyurethane sheets. In this talk we further develop the model for curved surfaces and present problems, where the extension to the finite tangential strains is essential to investigate the arising wrinkling pattern. By numerical simulation of the governing nonlinear system of PDEs, we investigate the effect of the curvature of the reference configuration on the emerging wrinkling pattern and demonstrate that disappearance of wrinkles takes place on curved surfaces, as well.

Item Type: Conference or Workshop Item (Paper)
Subjects: Q Science / természettudomány > QA Mathematics / matematika > QA76 Computer software / programozás
Q Science / természettudomány > QC Physics / fizika > QC01 Mechanics / mechanika
T Technology / alkalmazott, műszaki tudományok > TJ Mechanical engineering and machinery / gépészmérnöki tudományok
Depositing User: Andras A. Sipos
Date Deposited: 29 Sep 2017 06:46
Last Modified: 29 Sep 2017 06:46

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